Solve y-21 < 85
please I really need those this is due tonight.​

Answers

Answer 1

Answer:

y < 106

Step-by-step explanation:

In this equation, we simply add 21 to both sides, so we get y < 106.


Related Questions

A transporter truck has three compact cars, a station wagon, and a minivan on its trailer. In how many ways can the driver load the shipment so that one of the heavier vehicles is directly over the rear axle of the trailer?

Answers

There are 48 ways for the driver to load the shipment so that one of the heavier vehicles is directly over the rear axle of the trailer.

In order for one of the heavier vehicles to be directly over the rear axle of the trailer, there are only two options: either the station wagon or the minivan can be in that position. Therefore, we can consider the problem as two separate cases:

Case 1: Station wagon over the rear axle
In this case, we have four vehicles remaining to be loaded onto the trailer: three compact cars and the minivan. The order in which they are loaded onto the trailer does not matter, since the station wagon's position is fixed. Therefore, the number of ways to load the remaining vehicles is simply the number of permutations of 4 items, which is 4! = 24.

Case 2: Minivan over the rear axle
This case is identical to the first case, except that the station wagon is replaced by the minivan. Therefore, the number of ways to load the remaining vehicles is again 4! = 24.

Total number of ways:
Since the two cases are mutually exclusive, we can simply add the number of ways from each case to get the total number of ways:
24 + 24 = 48

Therefore, there are 48 ways for the driver to load the shipment so that one of the heavier vehicles is directly over the rear axle of the trailer.

Learn more about shipment here:

https://brainly.com/question/31309194


#SPJ11

PLEASE HELP
The number of meters a student swam this week are listed.

200, 450, 600, 650, 700, 800

What is the appropriate measure of variability for the data shown, and what is its value?

The range is the best measure of variability and equals 600.
The IQR is the best measure of variability and equals 250.
The mean is the best measure of variability and equals about 567.
The median is the best measure of variability and equals 625.

Answers

From the data of the number of meters swam by students, range is the best measure of variability and equals 600

What are domain and range?

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.

Given data,

Let the data set be represented as A

Now, the value of A is

A = { 200, 450, 600, 650, 700, 800 }

The appropriate measure of variability for the given data is the range. The range is the difference between the largest and smallest values in the data set.

And, range = 800 - 200

R = 600

Hence, the range of the data set is R = 600

To learn more about domain and range click:

brainly.com/question/28135761

A 13-ft ladder leans against a
wall. The bottom of the ladder
is 5 ft from the wall. The bottom
is then pulled out 4 ft farther.
How much does the top end
move down the wall?

Answers

Answer:

(12 - 2 √22) ft

Step-by-step explanation:

by Pythagoras' Theorem:

in right-angled triangle, the square of the hypotenuse will equal the sum of the squares of the other two sides.

call the ladder L, call the distance of bottom of ladder from bottom of wall G, call the vertical height of the wall where the top of ladder meets it H.

we have L² = G² + H²

H² = L² - G²

   = 13² - 5²

   = 169 - 25

   = 144

H = √144 = 12.

the ladder is opposite the right-angle, ie it's the hypotenuse.

the ladder is 5ft from the wall.

if bottom of ladder is pulled out 4ft more, this reduces the height H.

the length of ladder L remains the same (can't compress a ladder)

G, the floor distance, is now 5 + 4 = 9ft

H² = L² - G²

    = 169 - 9²

    = 169 - 81

    = 88

H = √88

   = √(4 X 22)

   = √4 X √22

   = 2√22

The vertical height, H, was 12 ft.  it's now 2 √22

so it has moved down the wall (12 - 2 √22) ft.

9. suppose vehicles arrive at a toll booth at an average rate of 10 vehicles per minute, according to a poisson process. a) find the probability that 8 vehicles arrive in a given 2 minute interval

Answers

The probability that 8 vehicles arrive in the given 2-minute interval is approximately 0.065.

The problem involves a Poisson process, where the average rate of vehicle arrival is given as 10 vehicles per minute. We are required to find the probability that 8 vehicles arrive in a given 2-minute interval.

We know that the Poisson distribution can be used to model the number of events that occur in a fixed interval of time, given the average rate of occurrence. The Poisson distribution is given by P(X = k) = e^(-λ) * (λ^k) / k!, where λ is the average rate of occurrence and k is the number of events that occur in the given interval of time.

In this case, the average rate of vehicle arrival is λ = 10 vehicles per minute, and the given interval of time is 2 minutes. Therefore, we can use the Poisson distribution formula to find the probability that 8 vehicles arrive in this interval. P(X = 8) = e^(-20) * (20^8) / 8! ≈ 0.065.

Therefore, the probability that 8 vehicles arrive in the given 2-minute interval is approximately 0.065.

to learn more about probability click here:

brainly.com/question/29221515

#SPJ11

why do you need to tare a kitchen scale before weighing an ingredient

Answers

Taring a kitchen scale before weighing an ingredient is essential to obtain accurate measurements by removing the weight of the container, streamlining the process, and ensuring precise and reliable results in culinary preparations.

Taring a kitchen scale before weighing an ingredient is necessary to accurately measure the weight of the ingredient without including the weight of the container or vessel in which it is placed. Taring essentially resets the scale to zero, accounting for the weight of the container so that only the weight of the ingredient being added is measured.

By taring the scale, you eliminate the need to manually subtract the weight of the container from the final measurement. This allows for more precise and efficient measurements in recipes or other culinary applications.

Taring is particularly important when working with small or precise quantities of ingredients, where even a slight variation in weight can significantly impact the final outcome of a dish. It ensures that the weight of the container does not contribute to the measurement, providing accurate and reliable results.

Additionally, taring simplifies the weighing process by eliminating the need to calculate or estimate the weight of the container separately. It saves time and reduces the chances of errors in measurements, promoting consistency and precision in cooking and baking.

Learn more about baking at: brainly.com/question/20692796

#SPJ11

Find the tenth partial sum, s10. (Round your answer to six decimal places.) s10 = Estimate the error in using s10 as an approximation to the sum of the series. R10 ≤ [infinity] 1/x5 dx =

Answers

The error in using s10 as an approximation to the sum of the series is less than or equal to 2.79892 × 10^-5.

The given series is a p-series with p = 5, which means it converges if and only if p > 1. Therefore, the series converges.

To find the tenth partial sum, we need to add up the first ten terms of the series:

s10 = 1/1^5 + 1/2^5 + 1/3^5 + ... + 1/10^5

Using a calculator or computer, we get:

s10 ≈ 1.036393

To estimate the error in using s10 as an approximation to the sum of the series, we need to find the remainder term R10:

R10 = ∑ from n=11 to infinity of (1/n^5)

Since we cannot find the exact value of this infinite series, we can use an estimation method such as the integral test:

∫ from 11 to infinity of (1/x^5) dx = [-1/4x^4] from 11 to infinity = 1/4(11^4)

Therefore, we have:

R10 ≤ ∫ from 11 to infinity of (1/x^5) dx = 1/4(11^4) ≈ 2.79892 × 10^-5

So the error in using s10 as an approximation to the sum of the series is less than or equal to 2.79892 × 10^-5.

Learn more about series here

https://brainly.com/question/30561941

#SPJ11

Solve the system of inequalities by graphing (Remember to shade!)
3x + y ≤ 1
x - y < 3

Answers

The graph for the inequalities is attached below.

To solve the system of inequalities without graphing, we can use algebraic manipulation and logical reasoning.

Solve the first inequality:

3x + y ≤ 1

Subtract 3x from both sides:

y ≤ 1 - 3x

Solve the second inequality:

x - y < 3

Add y to both sides:

x < y + 3

Now we have the following system of inequalities:

y ≤ 1 - 3x

x < y + 3

Learn more about inequalities here:

https://brainly.com/question/30231190

#SPJ1

Always be nice to others. Thank you

What is 80x+20x+10=150

Answers

Answer:

x=7/5

Step-by-step explanation:

Answer:

100x = 140 or 100x -140 = 0

Step-by-step explanation:

(80 + 20) = 100 - they both have x so they can be added together

you can either subtract 10 from 150 or 150 from ten to get 140 or -140 depending if you want the equation to be on the left side or spilt

i neeeeeeed helppppp

Answers

The correct statement regarding the domain of the function is given as follows:

The domain of (f/g)(x) = x³/(x² - 4) is all real numbers except x = -2 and x = 2.

How to define the domain and range of a function?

The domain of a function is defined as the set containing all possible input values of the function, that is, all the values assumed by the independent variable x in the context of the function.The range of a function is defined as the set containing all possible output values of the function, that is, all the values assumed by the dependent variable y in the context of the function.

The function for this problem is given as follows:

(f/g)(x) = x³/(x² - 4)

The values that are outside the domain are the values of x for which the denominator is of zero, hence:

x² - 4 = 0

x² = 4

[tex]x = \pm \sqrt{4}[/tex]

[tex]x = \pm 2[/tex]

More can be learned about domain and range at https://brainly.com/question/26098895

#SPJ1

6 points) for the probability distribution: x 0 1 2 3 4 p(x) 0.1 0.4 ? 0.15 0.1 find: a) p(x = 2) b) e(

Answers

a) p(x=2) = 0.25

b) E(X) = 2.15

a) To find p(x=2), we simply look at the probability distribution table and find the probability associated with x=2. In this case, we see that the probability associated with x=2 is missing, but we know that the sum of all probabilities must equal 1. Thus, we can solve for p(x=2) by subtracting the sum of the probabilities associated with x=0, x=1, x=3, and x=4 from 1. This gives us:

p(x=2) = 1 - 0.1 - 0.4 - 0.15 - 0.1

p(x=2) = 0.25

b) To find E(X), we use the formula:

E(X) = Σ[x * p(x)]

where Σ is the summation symbol, x is the value of the random variable, and p(x) is the probability associated with that value. Applying this formula to the probability distribution given, we have:

E(X) = 0(0.1) + 1(0.4) + 2(p(x=2)) + 3(0.15) + 4(0.1)

E(X) = 0.4 + 0.3 + 0.15 + 0.4

E(X) = 2.15

Therefore, the expected value of X is 2.15.

Learn more about probability here: brainly.com/question/32066271

#SPJ11

The box plots display data collected when two teachers asked their classes how many pencils they lose in a school year.

A box plot uses a number line from 5 to 47 with tick marks every one unit. The box extends from 8 to 14 on the number line. A line in the box is at 11. The lines outside the box end at 7 and 45. The graph is titled Mr. Johnson's Class, and the line is labeled Number Of Pencils.

A box plot uses a number line from 0 to 51 with tick marks every one unit. The box extends from 12 to 21 on the number line. A line in the box is at 14.5. The lines outside the box end at 0 and 50. The graph is titled Mr. Simpson's Class, and the line is labeled Number Of Pencils.

Which class lost the most pencils overall based on the data displayed?

Mr. Simpson's class; it has a larger median value 14.5 pencils
Mr. Johnson's class; it has a larger median of 11 pencils
Mr. Simpson's class; it has a narrow spread in the data
Mr. Johnson's class; it has a wide spread in the data

Answers

Mr. Simpson's class; it has a larger median value 14.5 pencils.

The box plot for Mr. Johnson's class has a box that extends from 8 to 14, with a median line at 11. The whiskers extend to 7 and 45 on the number line. This indicates that the spread of the data is relatively wide, with some students losing as few as 5 pencils and others losing as many as 45.

The box plot for Mr. Simpson's class has a box that extends from 12 to 21, with a median line at 14.5. The whiskers extend to 0 and 50 on the number line. This indicates that the spread of the data is also relatively wide, with some students losing as few as 0 pencils and others losing as many as 50.

Therefore, we can see that Mr. Simpson's class has a higher median value of 14.5 pencils, indicating that, on average, the students in his class lose more pencils than those in Mr. Johnson's class. Thus, based on the given data, Mr. Simpson's class lost the most pencils overall.

So the answer is: Mr. Simpson's class; it has a larger median value 14.5 pencils.

for such more question on median value

https://brainly.com/question/14532771

#SPJ11

use green's theorem to evaluate the following line integral. ∮cf dy−g dx, where f,g=12x2,7y2 and c is the upper half of the unit circle and the line segment −1≤x≤1 oriented clockwise.

Answers

We will use Green's theorem, which states that for a vector field F = (F1, F2) with continuous partial derivatives on a simply connected region R bounded by a piecewise smooth, simple, closed curve C, we have:

∮C F · dr = ∬R (∂F2/∂x - ∂F1/∂y) dA

where dr is a differential element of arc length on C, and dA is a differential element of area in R.

In this case, we have F = (−g, f) = (−7y^2, 12x^2), and C consists of two pieces: the upper half of the unit circle, denoted by C1, and the line segment from (−1,0) to (1,0), denoted by C2.

We can parameterize C1 by x = cos(t), y = sin(t) for t in [0,π], and C2 by x = t, y = 0 for t in [−1,1]. Using these parameterizations, we can write the line integral as:

∮C F · dr = ∫C1 F · dr + ∫C2 F · dr

For the first integral, we have:

∫C1 F · dr = ∫0π (−7sin^2(t), 12cos^2(t)) · (−sin(t), cos(t)) dt

= ∫0π 7sin^3(t) - 12cos^3(t) dt

We can evaluate this integral using trigonometric identities to get:

∫C1 F · dr = 7/3 - 12/3 = -5/3

For the second antiderivative,  we have:

∫C2 F · dr = ∫−1^1 (−7(0)^2, 12t^2) · (1, 0) dt

= 0

Therefore, the line integral over C is:

∮C F · dr = ∫C1 F · dr + ∫C2 F · dr = -5/3 + 0 = -5/3

So the value of the line integral is -5/3.

Learn more about Green's theorm here -: brainly.com/question/32070008

#SPJ11

find the differential of the function. t = v 8 uvw

Answers

The differential of the function t = v 8 uvw is "dt = 8vuw dv + 8uvw du + 8uvw dw".

To find the differential of the given function, we differentiate each variable with respect to the others and multiply by the corresponding coefficient. Here, we have three variables, v, u, and w, and the coefficient 8 appears in front of each variable. So, the differential of the function t = v 8 uvw is dt = 8vuw dv + 8uvw du + 8uvw dw. This expression represents the change in t for small changes in v, u, and w.

You can learn more about differential at

https://brainly.com/question/17004129

#SPJ11

find two positive numbers subject to the condtion that their product is 384

Answers

there are infinitely many pairs of positive numbers that satisfy the condition that their product is 384. Examples include (384, 1), (192, 2), (96, 4), and so on.

To find two positive numbers subject to the condition that their product is 384, we can set up an equation and solve for the unknowns.

Let's assume the two numbers are x and y. According to the given condition, their product is 384:

xy = 384

To find the values of x and y, we can use various methods such as substitution or factoring. In this case, we'll use substitution.

We can solve the equation for one variable in terms of the other. Solving for x, we have:

x = 384/y

Now we substitute this value of x into the other equation:

(384/y) * y = 384

Simplifying the equation:

384 = 384

This equation is true for any value of y, as long as it is a positive number. Therefore, y can take any positive value.

To find the corresponding value of x, we substitute the value of y back into the equation x = 384/y:

x = 384/y

For example, if we choose y = 1, then x = 384/1 = 384. Similarly, if we choose y = 2, then x = 384/2 = 192. We can find various pairs of positive numbers that satisfy the condition.

In summary, there are infinitely many pairs of positive numbers that satisfy the condition that their product is 384. Examples include (384, 1), (192, 2), (96, 4), and so on.

Visit here to learn more about equation :

brainly.com/question/29657983

#SPJ11

Great Mountain Ride shop has seen an increase in the number of people that have purchased a new snow board ove
the last three days. In order to keep up with demand, the manager of the shop has recorded the number of people tha
have purchased a snow board over a five day period. His data was given in the following table:
Day 1
10%
Day 2
15%
Day 4
Day 3
5%
Day 5
12%
8%
% increase of
the number of
people who
bought snow
boards
Given that the total number of people that purchased a snowboard on day 5 was 250 people, determine how many
people purchased snowboards the day before the manager started to collect her data. Round your answer to the
nearest person.
a. 155 people
b. 156 people
c. 160 people
d. 161 people

Answers

We need to round our answer to the nearest person, the number of people who purchased snowboards on the day before data collection is approximately 223. Therefore, the correct answer is not provided among the options.

To determine the number of people who purchased snowboards the day before the manager started collecting data, we need to work backwards from the information given.

Let's assume the number of people who purchased snowboards on the day before data collection started is represented by "X."

From the given data, we know that on Day 5, there was a 12% increase in the number of people who bought snowboards compared to the previous day. So, if X represents the number of people who bought snowboards on the day before data collection, we can calculate the number of people who bought snowboards on Day 5 as follows:

X + (12% of X) = 250

Converting 12% to a decimal, we have:

X + (0.12X) = 250

Combining like terms:

1.12X = 250

Now, we can solve for X:

X = 250 / 1.12 ≈ 223.21

Since we need to round our answer to the nearest person, the number of people who purchased snowboards on the day before data collection is approximately 223.

Therefore, the correct answer is not provided among the options.

for such more question on number of people

https://brainly.com/question/11583754

#SPJ11

Which matrix represents the system of equations shown below?
y = 10
4x-5y = 3
OA 190
Α.
4-5
OB.
O C.
OD.
0 1 3
4 -5 10
6
0
-53
5 10
1 3

Answers

Answer:

C

Step-by-step explanation:

To represent the system of equations step by step using matrices, we'll start by setting up the coefficient matrix and the constant matrix. Let's go through the process:

Step 1: Write down the equations:

Equation 1: y = 10

Equation 2: 4x - 5y = 3

Step 2: Set up the coefficient matrix (matrix A):

Coefficients of Equation 2: 4 and -5

Coefficients of Equation 1: 0 and 1

A =

| 4 -5 |

| 0 1 |

Step 3: Set up the constant matrix (matrix B):

Constants of Equation 2: 3

Constants of Equation 1: 10

B =

| 3 |

| 10 |

Step 4: Combine the coefficient matrix and constant matrix into an augmented matrix (matrix [A|B]):

[A|B] =

| 4 -5 3 |

| 0 1 10 |

This augmented matrix represents the system of equations:

4x - 5y = 3

0x + 1y = 10

Each row in the augmented matrix corresponds to an equation in the system. The first column represents the coefficients of x, the second column represents the coefficients of y, and the last column represents the constants.

Therefore, the matrix that represents the system of equations is:

C.

0 1 3

4 -5 10

a new care dealer is leasing various brand-new models for the monthly rates (in dollars) listedbelow. estimate true population variance in leasing rates with 90% confidence.369 369 399 429 439 449

Answers

The estimated true population variance in leasing rates for the car dealer is between 3436.02 and 9512.46 with 90% confidence.

To estimate the true population variance in leasing rates with 90% confidence, we can use a confidence interval formula with the t-distribution. The formula for the confidence interval is:

CI = (n-1)*s^2 / chi2(alpha/2, n-1) to (n-1)*s^2 / chi2(1-alpha/2, n-1)

Where CI is the confidence interval, n is the sample size, s is the sample standard deviation, alpha is the level of significance, and chi2 is the chi-squared distribution.

Given the sample of leasing rates, the sample size is 6 and the sample standard deviation is approximately 31.27.

Using a chi-squared distribution table or calculator, we can find the critical values for chi2(0.05, 5) and chi2(0.95, 5) to be approximately 11.07 and 0.83, respectively.

Plugging in the values into the confidence interval formula, we get:

CI = (6-1)*31.27^2 / 11.07 to (6-1)*31.27^2 / 0.83

Simplifying the equation gives:

CI = 3436.02 to 9512.46

Therefore, with 90% confidence, the true population variance in leasing rates for the car dealer is between 3436.02 and 9512.46.

Visit here to learn more about variance:

brainly.com/question/25639778

#SPJ11

A soda company wants a cylindrical can that is 6 inches in height with a volume of 18.8 cubic inches.


a) What needs to be the radius of the can to the nearest inch?

Answers

Answer:

1 inch

Step-by-step explanation:

Volume of cylinder = π r ² h

18.8 = π r ² (6)

r² = (18.8) / (6π)

r = 1 inch to nearest inch

what value is expected for the f-ratio, on average, if the null hypothesis is true in an anova? explain why. the numerator of the f-ratio measuresall differences between samples , and the denominator measuresonly random differences . if there is no treatment effect, differences between samples are due toonly random differences , so the numerator and denominator measurethe same sources of variability and should beabout equal and have a ratioclose to 1 .

Answers

If the null hypothesis is true in an ANOVA, the expected value for the F-ratio is close to 1. the F-ratio compares the variability due to treatment effects with the variability due to chance.

This is because the numerator of the F-ratio measures the variability between the sample means, which is expected to be small if the null hypothesis is true. On the other hand, the denominator measures the variability within the samples, which is expected to be larger due to random variation. Therefore, if there is no treatment effect, the numerator and denominator should be similar, resulting in an F-ratio close to 1.

In other words, the F-ratio compares the variability due to treatment effects with the variability due to chance. If the null hypothesis is true, there should be no systematic differences between the groups, and any differences observed are likely due to chance. Hence, the F-ratio should be close to 1, indicating that the treatment has no significant effect on the outcome.

Learn more about hypothesis here: brainly.com/question/29576929

#SPJ11

Graph the function. State the Domain and Range: y=2(1/2)^x​

Answers

The domain of the function is all real numbers and  range of the function is (0, 2]

To graph the function y = 2(1/2)ˣ, we can create a table of values and plot the points on the coordinate plane:

x y

-3 16

-2 8

-1 4

0 2

1 1

The graph of the function looks like a decreasing exponential function, starting at (0,2) and approaching the x-axis as x approaches infinity.

The domain of the function is all real numbers, since any real number can be plugged in for x.

The range of the function is (0, 2], since 0 < y ≤ 2 for all x.

To learn more on Functions click:

https://brainly.com/question/30721594

#SPJ1

find the first partial derivatives and evaluate each at the given point. function point w = 3x2y − 7xyz 10yz2 (4, 3, −2)

Answers

The partial derivatives of the given function at the point (4, 3, -2) is equal to wₓ(4, 3, -2) = 114 , [tex]w_{y}[/tex](4, 3, -2) = -16 ,  and[tex]w_{z}[/tex](4, 3, -2) = 96.

Function w= 3x²y − 7xyz + 10yz²

and  Point (4, 3, −2)

To find the partial derivatives of the function w = 3x²y - 7xyz + 10yz² with respect to x, y, and z,

Differentiate each term of the function separately and evaluate them at the given point (4, 3, -2).

Partial derivative with respect to x (wₓ).

To find wₓ,

differentiate each term with respect to x while treating y and z as constants.

wₓ = d(3x²y)/dx - d(7xyz)/dx + d(10yz²)/dx

Differentiating each term,

wₓ = 6xy - 7(yz) - 0 since there is no x term in the last term.

Now, substitute the given point (4, 3, -2) into the expression for wₓ.

wₓ(4, 3, -2)

= 6(4)(3) - 7(3)(-2)

= 72 + 42

= 114

Partial derivative with respect to y ([tex]w_{y}[/tex]).

To find [tex]w_{y}[/tex],

differentiate each term with respect to y while treating x and z as constants.

[tex]w_{y}[/tex]= d(3x²y)/dy - d(7xyz)/dy + d(10yz²)/dy

Differentiating each term.

[tex]w_{y}[/tex] = 3x² - 7xz + 20yz

Substitute the given point (4, 3, -2) into the expression for [tex]w_{y}[/tex]

[tex]w_{y}[/tex](4, 3, -2)

= 3(4)² - 7(4)(-2) + 20(3)(-2)

= 48 + 56 - 120

= -16

Partial derivative with respect to z ( [tex]w_{z}[/tex])

To find [tex]w_{z}[/tex], we differentiate each term with respect to z while treating x and y as constants:

[tex]w_{z}[/tex] = d(3x²y)/dz - d(7xyz)/dz + d(10yz²)/dz

Differentiating each term.

since there is no z term in the first term

[tex]w_{z}[/tex] = 0 - 7xy + 20y²

Substitute the given point (4, 3, -2) into the expression for [tex]w_{z}[/tex]

[tex]w_{z}[/tex](4, 3, -2)

= -7(4)(3) + 20(3)²

= -84 + 180

= 96

Therefore, the partial derivatives of the function w = 3x²y - 7xyz + 10yz² at the point (4, 3, -2) are,

wₓ(4, 3, -2) = 114

[tex]w_{y}[/tex](4, 3, -2) = -16

[tex]w_{z}[/tex](4, 3, -2) = 96

learn more about partial derivative here

brainly.com/question/17514349

#SPJ4

The above question is incomplete , the complete question is:

Find the first partial derivatives with respect to x, y, and z, and evaluate each at the given point.

Function w= 3x²y − 7xyz + 10yz² and  Point (4, 3, −2)                

wₓ(4, 3, −2) =

wy(4, 3, −2) =

wz(4, 3, −2) =

how many initial terms of the mclaurin series for sinx are required to approximate sin1 correct to four decimal places

Answers

To approximate sin1 correct to four decimal places using the Maclaurin series, we need to determine the number of initial terms needed such that the absolute value of the error term is less than or equal to 0.0001.

The Maclaurin series for sinx is given by:

sin x = x - (x^3)/3! + (x^5)/5! - (x^7)/7! + ...

To find the error term, we can use the alternating series estimation theorem, which states that the error between the actual value and the approximation using an alternating series is less than or equal to the absolute value of the next term in the series.

So for sin1, we want to find the number of initial terms n such that:

|(1^(2n+1))/(2n+1)!| <= 0.0001

Solving for n using a calculator or computer software, we get n = 5. Therefore, we need at least 6 initial terms of the Maclaurin series for sinx to approximate sin1 correct to four decimal places.

To learn more about Maclaurin series : brainly.com/question/30756411

#SPJ11

Select ALL of the following lines that have an x-intercept of (3, 0) and a y-intercept of (0,-4)
□y=4/3x-4

□y=-4/3x-4

□y=3x-4

□ Y=4/3(x-3)

□ y+4=4/3 (x-3)

□y+4=4/3x

Answers

The lines that have an x-intercept of (3,0) and a y-intercept of (0,-4) are:

y = 4/3x - 4

y + 4 = 4/3(x - 3)

To find a line with a given x-intercept and y-intercept, we can use the slope-intercept form of a line, which is:

y = mx + b

where m is the slope of the line, and b is the y-intercept (the y-coordinate where the line intersects the y-axis).

Both of these lines pass through points (3,0) and (0,-4), so they have the desired x- and y-intercepts.

The other lines do not pass through both of these points

y = -4/3x - 4 does not pass through (3,0)

y = 3x - 4 does not pass through (0,-4)

Y=4/3(x-3) does not pass through (0,-4)

y+4=4/3x does not pass through (3,0)

Learn more about Linear equations here:

https://brainly.com/question/11897796

#SPJ1

i need help asappppplpp

Answers

1. The final amount is $936 and the simple interest is $216.

What is simple interest?

Simple interest is the amount of interest charged on a specific principal amount at a specific interest rate. Compound interest, on the other hand, is the interest that is computed using both the principal and the interest that has accumulated over the preceding period.

1. Using the formula for simple interest:

Simple Interest = (Principal * Rate * Time)

Where:

Principal = $720

Rate = 6% = 0.06

Time = 5 years

Simple Interest = ($720 * 0.06 * 5) = $216

To find the final amount, we can add the simple interest to the principal:

Final Amount = Principal + Simple Interest = $720 + $216 = $936

Therefore, the final amount is $936 and the simple interest is $216.

Similarly,

2. The simple interest for a principal of $720, an interest rate of 6%, and a time period of 5 months is $18.

3. The simple interest for a principal of $720, an interest rate of 6%, and a time period of 5 days is $0.59.

4. Simple Interest is $506.11 and the Final Amount is $6,398.26.

5. The simple interest is $593.19 and the final amount is $27,561.63.

Learn more bout simple interests here:

https://brainly.com/question/22621039

#SPJ2

we want to perform a hypothesis test to estimate the true proportion of students who work part-time jobs during high school. what type of distribution should we use for this test?

Answers

For hypothesis testing involving proportions, the appropriate distribution to use is the binomial distribution.

For hypothesis testing involving proportions, the appropriate distribution to use is the binomial distribution.

This is because we are interested in the number of successes (students who work part-time jobs) out of a fixed number of trials (students in the sample), which is the definition of a binomial experiment.

The proportion of students who work part-time jobs can be estimated using the sample proportion, which is the number of students who work part-time jobs divided by the total number of students in the sample.

We can then perform a hypothesis test to determine whether this sample proportion is significantly different from the hypothesized true proportion.

To learn more about the hypothesis;

brainly.com/question/29519577

#SPJ1

use vectors to decide whether the triangle with vertices p(2, −1, −1), q(3, 2, −3), and r(7, 0, −4) is right-angled.

Answers

To determine whether the triangle with vertices P(2, -1, -1), Q(3, 2, -3), and R(7, 0, -4) is right-angled, we can use vectors.

First, we calculate the vectors formed by the sides of the triangle:

Vector PQ = Q - P = (3, 2, -3) - (2, -1, -1) = (1, 3, -2)
Vector PR = R - P = (7, 0, -4) - (2, -1, -1) = (5, 1, -3)

Next, we take the dot product of these two vectors:

PQ · PR = (1, 3, -2) · (5, 1, -3) = 1 * 5 + 3 * 1 + (-2) * (-3) = 5 + 3 + 6 = 14

If the dot product is zero, then the two vectors are perpendicular, indicating that the triangle is right-angled.

In this case, since PQ · PR = 14 ≠ 0, the triangle with vertices P, Q, and R is not right-angled.

 To learn more about triangle click here:brainly.com/question/2773823

#SPJ11

Is the following statement true or false?

When you find the square root of a negative number the answer will be negative

A. True

B. False

Answers

Answer:

False

Step-by-step explanation:

No we can't find the square root of negative number.

Hope it helped you

Please Mark me the brainliest

True / False. Selective distribution tends to work best for medium- and higher-priced products or stores that consumers don't expect to find on every street corner.

Answers

True. Selective distribution is a strategy in which a manufacturer limits the number of outlets at which its product is sold.

This strategy is often used for medium- and higher-priced products or stores that consumers don't expect to find on every street corner. By limiting the availability of the product, the manufacturer can maintain a premium image and prevent price erosion.

In contrast, products that are widely available and low-priced are more likely to be distributed through intensive distribution, in which the manufacturer tries to get the product into as many outlets as possible.

This strategy is effective for products with high turnover rates and where consumers prioritize convenience and accessibility over brand image.

To know more about number click here

brainly.com/question/28210925

#SPJ11

El coeficiente de fricción cinética entre el bloque A y la mesa es 0.20. Además, mA= 25 kg, mB= 15 kg. ¿Cuánto bajará el cuerpo B en los primeros 3.0 s después de liberar el sistema

Answers

Based on the information, body B will fall 3.3 m in the first 3.0 s after the system is released.

How to calculate tie value

The system of blocks will accelerate at a rate of:

a = (mB g - μk mA g) / (mA + mB)

= (15 kg * 9.8 m/s² - 0.20 * 25 kg * 9.8 m/s²) / (25 kg + 15 kg)

= 2.2 m/s²

Over a time of 3.0 s, body B will fall a distance of:

d = 0.5 * a * t²

= 0.5 * 2.2 m/s² * 3.0 s²

= 3.3 m

Therefore, body B will fall 3.3 m in the first 3.0 s after the system is released.

Learn more about friction on

https://brainly.com/question/24338873

#SPJ1

The coefficient of kinetic friction between block A and the table is 0.20. Also, mA= 25 kg, mB= 15 kg. How far will body B fall in the first 3.0 s after the system is released?

Directions: Estimate the sum or difference of each problem. The first one is done for you.

Tip: Round the numbers to the nearest 10 before estimating the sum or difference.

1) 28 + 53=

First, look at the second digit in the number. If it is 5 or higher, round the first digit up. If it is 4 or lower, leave the first digit as it is.

28 = 30

53 = 50

30 + 50 = 80

2) 58 + 31=

3) 73 + 45=

4) 37 + 44=

5) 66 - 21=

6) 53 - 50=

7) 51 - 16=

8) 20 - 11=

9) 86 + 6=

10) 94 + 87=

Answers

The rounding up of the numbers indicates that the sum and differences of the numbers are;

8090120805003010100180What is rounding up of numbers?

Rounding up of numbers is an estimation method used to provide values that have a particular degree of accuracy.

The sums and difference of the integers obtained using the prescribed method are as follows;

1) 28 + 53 ⇒ 30 + 50 = 80

2) 58 + 31 ⇒ 60 + 30 = 90

3) 73 + 45 ⇒ 70 + 50 = 120

4) 37 + 44 ⇒ 40 + 40 = 80

5) 66 - 21 ⇒ 70 - 20 = 50

6) 53 - 50 ⇒ 50 - 50 = 0

7) 51 - 16 ⇒ 50 - 20 = 30

8) 20 - 11 ⇒ 20 - 10 = 10

9) 86 + 6 ⇒ 90 + 10 = 100

10) 94 + 87 ⇒ 90 + 90 = 180

Learn more on rounding up of numbers here: https://brainly.com/question/1620496

#SPJ1

Other Questions
if fixed costs are $334,400 and the unit contribution margin is $22, how many units must be sold in order to have a zero profit? a. 30,400 b. 15,200 c. 20,200 d. 334,400 true or false: if the seller doesn't agree to the contingencies on the offer to purchase, the buyer is still legally required to purchase the house. which activity is performed by the server during the mount stage? 9. suppose vehicles arrive at a toll booth at an average rate of 10 vehicles per minute, according to a poisson process. a) find the probability that 8 vehicles arrive in a given 2 minute interval what value is expected for the f-ratio, on average, if the null hypothesis is true in an anova? explain why. the numerator of the f-ratio measuresall differences between samples , and the denominator measuresonly random differences . if there is no treatment effect, differences between samples are due toonly random differences , so the numerator and denominator measurethe same sources of variability and should beabout equal and have a ratioclose to 1 . what is the ratio of the intensities of two sounds with intensity levels of 70 db and 40 db? group of answer choices 100:1 1000:1 7:4 10:1 10,000:1 when two point masses are a distance d apart, each exerts a gravitational attraction f on the other mass. to reduce this force to 13f, you would have to separate the masses to a distance of what does prtactinium-229 decay into after one alpha decay? what will occur if you bring a negatively charged rubber rod near each of the charged spheres? indicate the interaction between the spheres and the rod (attract or repel) Are the following statements true, false or uncertain. Briefly explain why.a. A change in the distribution of income that leaves total income constant will not shift the market demand curve for a product providingi. Everyone has an income elasticity of demand of zero for the product.ii. Everyone has the same income elasticity of demand for the product.iii. Individuals have differing income elasticities for the product, but the average income elasticity for income gainers is equal to the average income elasticity for income losers.b. In the very short run quantity supplied is absolutely fixed.c. If the market for hula-hoops is characterized by a very inelastic supply curve and a very elastic demand curve, an inward shift in the supply curve would be reflected primarily in the form of higher output.d. The market supply curve for any good in short run is the horizontal summation of individuals' short-run supply curves. a team is reverse engineering a new onboard communication system that is advertised to provide subscription-based communications for in-vehicle security, hands-free calling, turn-by-turn navigation, and remote diagnostics systems. in which stage of the reverse engineering process is the team engaged while observing the operation and feature performance of the new system? a firm is able to determine that its marginal profit, in dollars, from producing x units of an item is given by . suppose that it were possible for the firm to make infinitely many units of this item, what would its total profit be? under current payment due, it looks like adam and mary already have a $160 late fee included this month. if they make their payment on 4/22/17, how much will they need to pay in order to pay the bill in full? use vectors to decide whether the triangle with vertices p(2, 1, 1), q(3, 2, 3), and r(7, 0, 4) is right-angled. Unrealized gains or losses on available-for-sale debt investments occur when a company adjusts the investment to________.A. fair value when an asset is disposedB. fair value but has not yet disposed of the assetC. average value when an asset is disposedD. average value but has not yet disposed of the asset Andrew has defective a-receptors on his arterioles causing him to be less responsive to norepinephrine. This might cause chronic because his arterioles simply won't in response to increased norepinephrine levels. hypotension, constrict hypertension; dilate hypotension; dilate 5 0 0 hypoxia; constrict hyperemia; constrict The box plots display data collected when two teachers asked their classes how many pencils they lose in a school year.A box plot uses a number line from 5 to 47 with tick marks every one unit. The box extends from 8 to 14 on the number line. A line in the box is at 11. The lines outside the box end at 7 and 45. The graph is titled Mr. Johnson's Class, and the line is labeled Number Of Pencils.A box plot uses a number line from 0 to 51 with tick marks every one unit. The box extends from 12 to 21 on the number line. A line in the box is at 14.5. The lines outside the box end at 0 and 50. The graph is titled Mr. Simpson's Class, and the line is labeled Number Of Pencils.Which class lost the most pencils overall based on the data displayed? Mr. Simpson's class; it has a larger median value 14.5 pencils Mr. Johnson's class; it has a larger median of 11 pencils Mr. Simpson's class; it has a narrow spread in the data Mr. Johnson's class; it has a wide spread in the data El coeficiente de friccin cintica entre el bloque A y la mesa es 0.20. Adems, mA= 25 kg, mB= 15 kg. Cunto bajar el cuerpo B en los primeros 3.0 s despus de liberar el sistema Graph the function. State the Domain and Range: y=2(1/2)^x Given: Isosceles trapezoid ABCD with diagonals BD and AC Identify the missing reason in the proof.