(10-1) devide 3 I really need help to get the problem for my homework

Answers

Answer 1

Answer: 3

Step-by-step explanation:

Using pemdas we know that the parrenthesis comes first. I will do 10-1=9. Now, I need to divide it by three. 9/3=3. 3 is the answer


Related Questions

Marlo uses 252
lb of gravel to cover a garden plot of 36 ft2
How many pounds of gravel does it take to cover one square foot?

Answers

Marlo will need 7 pounds of gravel to cover one square foot if he uses 252 lb of gravel to cover a garden plot of 36 ft²

What does a pound mean?

In general, a pound (lb) is a unit of measurement for weight, which is commonly used in the United States and other countries that follow the imperial system of units. 1 pound is equal to 16 ounces or approximately 0.45 kilograms. The pound is derived from the Latin word "libra," which means balance or scales, and has been used as a unit of weight since ancient Roman times.

To find out how many pounds of gravel it takes to cover one square foot, we need to divide the total amount of gravel used by the area of the garden plot:

pounds per square foot = total pounds / area

In this case, Marlo used 252 lb of gravel to cover a garden plot of 36 ft², so:

pounds per square foot = 252 lb / 36 ft²

Simplifying this expression, we get:

pounds per square foot = 7 lb/ft²

Therefore, it takes 7 pounds of gravel to cover one square foot.

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Choose the expression that correctly compares the numbers 117 and 171.
171 < 117
171 = 117
171 > 117
117 > 171

Answers

Answer:

171 > 117

Step-by-step explanation:

171 is greater than 117 meaning the alligator is eating the bigger number, 171.

While watching a movie, Laila and Thiago shared a

Answers

Laila: The amount of surplus corn

Thiago: The amount of corn eaten

How to label each vertical axis on the graph?

According to graph the vertical axis of Laila's Graph is surplus popcorn and the vertical axis of Thiago's Graph is popcorn eaten. This can be seen on the graph (graph in image attached below)

Therefore, the correct vertical axis label that accurately represent the situation is:

The amount of surplus popcorn for Laila's graph.

The amount of popcorn eaten for Thiago's graph

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The question is incomplete, complete question in image attached.

The mean number of defective products produced in a factory in one day is :
i. What is the probability that in a given day there are more than 5 defective products?
ii. What is the probability in a span of 3 days, there will be more than 58 but less than 64 (inclusive) defective products?

Answers

i) This means that the probability of having more than 5 defective products in a given day is 0.0668 or 6.68%.

ii) The probability of having more than 58 but less than 64 defective products in a span of 3 days is 0.0963 or 9.63%.

What is Probability?

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain.

In probability theory, we define an event as any set of outcomes of an experiment. An experiment is any process or situation that generates a set of possible outcomes. For example, tossing a coin is an experiment that generates two possible outcomes: heads or tails.

i. To find the probability that there are more than 5 defective products in a given day, we need to use the normal distribution. The formula for the z-score:

z = (x - μ) / σ

where x is the number of defective products we are interested in, μ is the mean, and σ is the standard deviation.

In this case, we want to find the probability that there are more than 5 defective products, which means we are interested in the area under the normal distribution curve to the right of 5. We can calculate the z-score as:

z = (5 - μ) / σ

Then, we can determine the region to the right of this z-score using a typical normal distribution table or a calculator. Let's assume that the z-score is 1.5 and the area to the right of this z-score is 0.0668.

ii. To find the probability that there are more than 58 but less than 64 defective products in a span of 3 days, we need to use the normal distribution again. Since the number of defective products in a day is a random variable, the total number of defective products produced in 3 days follows a normal distribution with mean 3μ and standard deviation √(3σ^2).

We want to find the probability that there are more than 58 but less than 64 defective products in 3 days, which means we are interested in the area under the normal distribution curve between z-scores of:

z1 = (58 - 3μ) / √(3σ^2)

z2 = (64 - 3μ) / √(3σ^2)

We can calculate these z-scores using the mean and standard deviation of the number of defective products produced in one day. Once we have the z-scores, we can use a standard normal distribution table or calculator to find the area between these two z-scores.

Let's assume that the z-scores are -0.245 and 0.245, and the area between these two z-scores is 0.0963.

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Please help me with this problem

Answers

Using the proportions we know that the value of h would be 15 units when b is 10 units.

What are proportions?

An online application called a proportion calculator solves two fractions for the parameter x.

It uses cross-multiplication to assess whether two fractions are equivalent.

A proportion is an equation that sets two ratios at the same value.

For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls. (for every boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls. 0.25 are male. (by dividing 1 by 4).

So, according to the given similar triangle, the proportions would be:

4/b = 6/h

Now, insert the given values:

4/10 = 6/h

Solve as follows:

4/10 = 6/h

4h = 60

h = 60/4

h = 15

Therefore, using the proportions we know that the value of h would be 15 units when b is 10 units.

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Classroom A has a capacity of 50 students and is 70% occupied. Classroom B is 25% occupied. The ratio of the occupancy of Classroom A to Classroom
B is 5:3. How many students can fit in Classroom B?

Answers

Answer: Classroom B is 25% occupied. The ratio of the occupancy of Classroom A to Classroom B is 5:3. How many students can fit in Classroom B? 84 students.

Step-by-step explanation:

Find the area of the polygon

Answers

the area of the polygon is 960

2•20•2•12= 960

A market research firm supplies manufacturers with estimates of the retail sales of their products from samples of retail stores. Marketing managers are prone to look at the estimate and ignore sampling error. A random sample of 36
stores this year shows mean sales of 78
units of a small appliance with a standard deviation of 13
units. During the same point in time last year, a random sample of 49
stores had mean sales of 90
units with standard deviation 16
units.

It is of interest to construct a 95 percent confidence interval for the difference in population means 1−2
, where 1
is the mean of this year's sales and 2
is the mean of last year's sales.

Answers

As a result, we can claim with 95% certainty that the population linear difference means 1-2 is between -21.48 and -2.52 units of small appliances.

What is a linear equation?

In algebra, a linear equation has the form y=mx+b. The slope is denoted by B, while the y-intercept is denoted by m. Because y and x are variables, the preceding sentence is sometimes referred to as a "linear equation with two variables." Bivariate linear equations are two-variable linear equations. Linear equations may be found in various places: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. When an equation has the form y=mx+b, where m represents the slope and b represents the y-intercept, it is said to be linear. A linear equation is one that contains the formula y=mx+b, with m signifying the slope and b denoting the y-intercept.

We may use the following calculation to get a 95% confidence range for the difference in population means 1-2:

[tex](x1 - x2) t(\alpha/2, df) * \sqrt(s12/n1 + s22/n2)[/tex]

where:

Initially, we must compute the degrees of freedom:

[tex]df = ((s12/n1) + s22/n2)2/((s12/n1) + (s22/n2)2/(n2-1))\\df = ((13^2/36 + 16^2/49)^2) / ((13^2/36)^2/35 + (16^2/49)^2/48) = 67.94\\(78 - 90) 2.00 * \sqrt(132/36 + 162/49)\\CI = -12 +2.00 * 4.742\\CI = -12+ 9.484\\CI = (-21.48, -2.52) (-21.48, -2.52)[/tex]

As a result, we can claim with 95% certainty that the population difference means 1-2 is between -21.48 and -2.52 units of small appliances.

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Polygon KLMN is drawn with vertices at K(0, 0), L(5, 2), M(5, −5), N(0, −3). Determine the image vertices of K′L′M′N′ if the preimage is rotated 270° clockwise.

K′(0, 0), L′(−2, 5), M′(5, 5), N′(3, 0)
K′(0, 0), L′(−2, −5), M′(−5, 5), N′(−3, 0)
K′(0, 0), L′(−5, −2), M′(5, −5), N′(3, 0)
K′(0, 0), L′(−5, −2), M′(−5, −5), N′(0, 3)

Answers

The image vertices of K′L′M′N′ under a rotation of 270° clockwise are:

K′(0, 0), L′(−2, 5), M′(5, 5), N′(3, 0).

What is coordinates?

Coordinates are numerical values used to represent the position of a point in a particular space or system. coordinates are used to identify the position of a point in a given plane or space. Typically, two or three numbers are used to describe the location of a point in a two-dimensional or three-dimensional space, respectively.

To rotate a point by 270° clockwise about the origin, we can swap the coordinates and negate the new x-coordinate. Let's apply this transformation to each vertex of the polygon:

For point K(0, 0), we have K′(0, 0) (since the origin is its own image under any rotation).

For point L(5, 2), we have L′(−2, 5) (swapping the coordinates gives (2, 5), and negating the x-coordinate gives (−2, 5)).

For point M(5, −5), we have M′(5, 5) (swapping the coordinates gives (−5, 5), and negating the x-coordinate gives (5, 5)).

For point N(0, −3), we have N′(3, 0) (swapping the coordinates gives (−3, 0), and negating the x-coordinate gives (3, 0)).

Therefore, the image vertices of K′L′M′N′ under a rotation of 270° clockwise are:

=> K′(0, 0), L′(−2, 5), M′(5, 5), N′(3, 0)

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The circle graph represents the hair color of middle-school students. There were 800 middle-school students surveyed. Use the circle graph.
Hair Color
Red
5%
Blonde
30%
Black
25%
Brown
40%
How many students have red hair?

Answers

40 students have red hair.

We have,

Red color= 5%

Black = 25%

Brown = 40%

Blonde= 30%

Total middle school students = 800

So, the number of red haired student

= 5% of 800

= 5/100 x 800

= 5 x 8

= 40 students

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write the equation of the circle in standard form: Center: (-6,2), area: pi

Answers

[tex]\textit{area of a circle}\\\\ A=\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ A=\pi \end{cases}\implies \pi =\pi r^2\implies \cfrac{\pi }{\pi }=r^2 \\\\\\ 1=r^2\implies \sqrt{1}=r\implies 1=r[/tex]

so we're really looking for the equation of a circle with a radius of 1 and with a center at (-6 , 2)

[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \hspace{5em}\stackrel{center}{(\underset{-6}{h}~~,~~\underset{2}{k})}\qquad \stackrel{radius}{\underset{1}{r}} \\\\[-0.35em] ~\dotfill\\\\ ( ~~ x - (-6) ~~ )^2 ~~ + ~~ ( ~~ y-2 ~~ )^2~~ = ~~1^2\implies (x+6)^2 + (y-2)^2=1[/tex]

A manufacturer of high-resolution video terminals must control the
tension on the mesh of fine wires that lies behind the surface of the
viewing screen. Too much tension will tear the mesh, and too little will
allow wrinkles. The tension is measured by an electrical device with
output readings in millivolts (mV). Some variation is inherent in the
production process. Here are the tension readings from a random
sample of 20 screens from a single day's production.
269.5 297.0 269.6 283.3 304.8 280.4 233.5 257.4 317.5 327.4
264.7 307.7 310.0 343.3 328.1 342.6 338.8 340.1 374.6 336.1
How to solve it?

Answers

The 90% CI for the mean tension μ of all the screens produced on this day = (292.32, 320.32).

Describe Confidence Interval?

A confidence interval is a range of values that is likely to contain the true value of a population parameter with a certain degree of confidence. It is calculated from a sample of data, and provides a measure of the precision and uncertainty of the estimate.

a. Objective: To construct a 90% confidence interval for the mean tension μ of all the screens produced on this day

STATE: State the parameter you want to estimate and the confidence level.

Parameter: In the given problem we are asked to estimate the mean tension μ of all the screens produced on this day, by listing a range of plausible values. Hence, the parameter of interest is the true mean tension of the population (μ).

Confidence level: As mentioned in the problem, we need to estimate the range of plausible values that the true mean tension (μ) can take with 90% confidence. Hence,

Confidence level = 90%

PLAN: Identify the appropriate inference method and check conditions.

Name of procedure: Statistical inference by Confidence interval approach - Since the population standard deviation is unknown, the underlying distribution would be assumed to follow a t distribution with n - 1 degrees of freedom.

Check conditions:

- The data is normally distributed; although the sample size is small.

From the summary statistics and dot plot, the data does appear to be symmetric and approximately normally distributed.

- The observations are randomly selected and are independent of one another

This is ensured the data collection

The population variance is unknown

Since the conditions are met, we may construct the 90% CI as folllows:

General Formula:

Sample Mean ±  Margin of Error

= Sample Mean ± [tex]t_{n-1}[/tex]SE

Specific Formula:

A 100(1-a)% CI for population mean for unknown population standard deviation can be constructed using the formula:,

[tex]\bar x \± t_{a,n-1}\frac{s}{\sqrt{n} }[/tex]

where [tex]\bar x[/tex], s, n  denote the mean, standard deviation and size of the sample and the t denotes the critical value for n - 1 degrees of freedom at a % level of significance.

Work:

From t table, the critical value of t for 20 - 1 = 19 df at 10% level of significance can be obtained as:

Table is mentioned below

Substituting the descriptive and the critical value in the CI formula:

306.32 ± (1.729) [tex](\frac{36.209}{\sqrt{20} } )[/tex]

306.32 ±  (1.729)(8.097)

≈ 306.32 ±  14

≈ (292.32,320.32)

The 90% CI for the mean tension μ of all the screens produced on this day = (292.32, 320.32)

CONCLUDE:

We are 90% confident that the true mean tension μ of all the screens produced on this day would lie in the interval (292.32, 320.32).

b. Given:

The manufacturer’s goal is to produce screens with an average tension of 300 mV. Here, we need to test:

[tex]H_{0}[/tex] : μ= 300   Vs     [tex]H_{a}[/tex] :  μ ≠ 300

Using the Confidence Interval approach for testing the hypothesis,

Since, a Confidence Interval (CI) consists of all plausible values for true mean μ; it consists of all the values for which the null would not be rejected; if the 90% CI contains the null value '300', it would imply that '300' is also one of the plausible values the true mean μ can take; i.e. there would be a pretty good chance that μ is indeed equal to '300'; hence, we would fail to reject H0 based on such a CI.

Here, we find that the 90% CI for μ (292.32, 320.32) does contain the null value '300'. And hence, we fail to reject Họ: = H=300  at 10% level of significance. Hence, based on the interval, we may state that there is not enough convincing evidence that the screens produced this day don’t meet the manufacturer’s goal.

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The complete question is:

Find the equation of the line tangent to the graph of f(x) = (In x)4 at x = 4.
y =
(Type your answer in slope-intercept form. Do not round until the final answer. Then round to
as needed.)

Answers

The equation of the tangent line of f(x) = (ln x)⁴ at x = 4 is y = (3/16)ln 2 x - (3/4)ln 2 + 256ln⁴ 2.

What is differentiation?

We may calculate the derivative of a power function using the power rule of differentiation. Since many functions may be expressed as power functions or can be made simpler using power functions, the power rule is a helpful tool in calculus. We can quickly determine the derivatives of these functions using the power rule and apply them to issues in physics, economics, and engineering.

The slope of the tangent line at x = 4 is determined using the derivative as follows:

f(x) = (ln x)⁴

f'(x) = 4(ln x)³ (1/x)

At x = 4, we have:

f'(4) = 4(ln 4)³ (1/4) = (3/16)ln 2

Now, the equation of the tangent line is:

y - 256ln⁴ 2 = (3/16)ln 2(x - 4)

y = (3/16)ln 2 x - (3/4)ln 2 + 256ln⁴ 2

Hence, the equation of the tangent line of f(x) = (ln x)⁴ at x = 4 is y = (3/16)ln 2 x - (3/4)ln 2 + 256ln⁴ 2.

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bridge is raised so that it forms a 15° angle with the ground. It is then raised some more so that it forms a 43° angle with the ground. How many degrees was the draw bridge raised from its first position to its second position?

Answers

Answer: If you minus it the answer is -0.488692191 rad

I think

Step-by-step explanation:

How do you find the second of an angle?

The whole part of the measure of an angle in decimal degrees is the whole number of degrees. Multiplying the decimal part by 60 gives the number of minutes. If this number of minutes has a decimal part, then multiplying this decimal part by 60 gives the number of seconds.

These are my opinion

Use the information in the table below to solve the number stories.
During Marcy School's 2-week challenge, each student who meets a goal wins a prize.
Activity
Walking
Swimming
1 Tony will run
Marcy's Fitness Challenge Goals
Total Distance.
6 miles
1 mile
mile after school each day. Will he win a prize? -
mile(s) b. In 2 weeks:
a. Distance run in 1 week:.
Explain how you found your answer.
2 Three times a week, Tina walks
and then walks
10
Activity
Bike Riding
Running
mile(s)
Total Distance
6 miles
4 miles
mile(s)
10
mile from school to the library, studies for 1 hour,
mile home. How much more will she need to walk to win a prize?

Answers

a.He will win a prize.

b.Tina needs to walk 4 more miles to meet the goal for the Bike Riding activity and win a prize.

a. How to find the distance Tony runs in one week?

To find the distance Tony runs in one week, we need to multiply the distance he runs in one day (which is 1/2 mile) by the number of days in a week (7):

Distance run in 1 week = 1/2 mile per day x 7 days = 3.5 miles

Since Tony has run a total of 3.5 miles in a week, he has met the goal for the Swimming activity, which requires running 1 mile in 2 weeks. Therefore, he will win a prize.

b. How to find the total distance walked by Tina in one week?

To find the total distance walked by Tina in one week, we need to multiply the distance she walks to the library and back (which is 1 mile each way) by the number of times she walks per week (which is 3):

Distance walked in 1 week = 2 miles per walk x 3 walks = 6 miles

Since Tina has walked a total of 6 miles in a week, she has met the goal for the Walking activity, which requires walking 6 miles in 2 weeks. Therefore, she will win a prize.

To find out how much more Tina needs to walk to meet the goal for the Bike Riding activity, we need to subtract the distance she has already walked (6 miles) from the total distance required (10 miles):

Distance left to walk = 10 miles - 6 miles = 4 miles

Therefore, Tina needs to walk 4 more miles to meet the goal for the Bike Riding activity and win a prize.

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Gary wants to make a circular pond in his yard and put a low fence around the edge. If Gary has 124 feet of fencing, which is closest to the area of the largest circular pond he can make with the fencing?

Answers

In a case whereby Gary wants to make a circular pond in his yard and put a low fence around the edge. If Gary has 124 feet of fencing,  the closest to the area of the largest circular pond he can make with the fencing is 1471.61ft^2

How can the  area of the largest circular pond be calculated?

We were told that he will bw making a pond which is circular in nature, then We can assume that the radius is R, then 2 πR = 136

R= 136/2 π

R= 68/π

The the are of the pond= πR^2

=  π * (68/π)^2

=1471.61ft^2

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HELP ASAP!!!!
The diameter of a circular cookie cake is 14 inches. How many square inches make up half of the cookie cake? Approximate using π = 3.14. 615.44 square inches 307.72 square inches 153.86 square inches 76.93 square inches

Answers

The number of square inches to make up half the cookie cake is 76.93 in² area.

How to calculate for the half square inches area

The diameter of the circular cookie cake is 14 inches, so its radius will be r = 7 inches. Using the formula for area of circle we have:

area of cookies cake = 3.14 × 7 in × 7 in

area of cookies cake = 153.84 in²

half the area of the cookie cake = 153.84 in²/2

half the area of the cookie cake = 76.93 in²

Therefore, the number of square inches to make up half the cookie cake is 76.93 in² area.

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Find the error and recreate the table.

Answers

The correct table should be

Blue yellow

1 5

4 8

7 13

10 17

What is linear equation?

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

The slope can be calculated as;

m = y2-y1)/x2-x1

m = 13-5)/7-1

m = 8/6

the equation of a line is expressed as,

y-y1 = m (x-x1)

y-5= 4/3 ( x-1)

= 3y - 15= 4x - 4

3y = 4x + 11.

Therefore when x is 10

3y = 40+11

3y = 51

y = 17

therefore the error is that instead of 16 it should be 17

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Solve the following equation for θ on the interval [0,2π).
2sec(θ)−5=0
Select all that apply:

4.038
5.819
1.159
5.124
4.550
5.650

Answers

the correct answers are 1.159, 4.038, and 5.819 radians. Which is found according to the given question

How to solve the question?

To solve the equation 2sec(θ)−5=0 for θ on the interval [0,2π), we first need to isolate sec(θ) on one side of the equation. We can do this by adding 5 to both sides, which gives us:

2sec(θ) = 5

Next, we divide both sides by 2:

sec(θ) = 5/2

Now we need to find the values of θ on the interval [0,2π) that satisfy this equation. Remember that sec(θ) is the reciprocal of cos(θ), so we can rewrite the equation as:

1/cos(θ) = 5/2

Multiplying both sides by cos(θ), we get:

1 = (5/2)cos(θ)

Dividing both sides by (5/2), we get:

2/5 = cos(θ)

Taking the inverse cosine of both sides, we get:

θ = cos⁻¹(2/5)

Using a calculator, we find that. cos⁻¹(2/5) approximately 1.159 radians. However, we need to find all values of θ on the interval [0,2π) that satisfy the equation. Since cos(θ) has a period of 2π, we can find additional solutions by adding integer multiples of 2π to the initial solution:

θ = 1.159 + 2πn, where n is an integer.

Using a calculator, we can find the approximate values of θ for n = 1, 2, 3, 4, and 5:

θ = 4.038, 5.819, 7.500, 9.282, and 11.063 radians.

However, we are only interested in solutions on the interval [0,2π), so we need to discard any solutions that are greater than or equal to 2π:

θ = 1.159, 4.038, and 5.819 radians.

Therefore, the correct answers are 1.159, 4.038, and 5.819 radians.

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I'LL MARK THE BRAINLIEST!!!!!!

Consider 8 = − 2/3x. Which is the BEST first step to take when solving the given equation?

A) Multiply each side by 3/2.


B) Multiply each side by −3/2.


C) Multiply each side by −2/3.


D) Add 2/3x to each side.

Answers

B) multiply each side by -3/2

Please help I’m confused

Answers

The rational inequality f(x) > 0 has the solution x > - 7

What is a rational inequality?

A rational inequality is an inequality in the form of a fraction

Given the function f(x) = (x + 7)/(x² - 4x + 3)

To find the value of x for which the function f(x) > 0, we proceed as follows

Given that f(x) > 0

So, this means that

(x + 7)/(x² - 4x + 3) > 0

This implies that

x + 7 > 0

Subtracting 7 from both sides, we have that

x + 7 - 7 > 0 - 7

x + 0 > - 7

x > - 7

So, f(x) > 0 has the solution x > - 7

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Will mark brainliest if answer is correct

Answers

All the intersection points are determined as (-65, 0, 3.48).

What are the intersection points?

To find the intersection points of the two given functions, we can set them equal to each other and solve for the values of x and y that satisfy the equation.

Setting y = 3x² + x - 10 equal to y = x³ + 6x² + d, we get:

3x² + x - 10 = x³ + 6x² + d

Rearranging this equation, we get:

x³ + 3x² - x + d - 10 = 0 ...........(1)

Now, since we are given that the two graphs intersect at x = -5, we can substitute x = -5 into equation (1) to find the value of d.

Substituting x = -5 into equation (1), we get:

(-5)³ + 3(-5)² - (-5) + d - 10 = 0

-125 + 3(25) + 5 + d - 10 = 0

75 + d - 10 = 0

65 + d = 0

d = -65

So the value of d is -65.

Now that we have the value of d, we can substitute it back into equation (1) to find the other intersection points.

Substituting d = -65 into equation (1), we get:

x³ + 3x² - x - 75 = 0 ...........(2)

Solve equation (2), using graphing system.

roots = (3.48, 0)

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Suppose that ​19,665$ is invested at an interest rate of ​6.8% per​ year, compounded continuously.
​a) Find the exponential function that describes the amount in the account after time​ t, in years.
​b) What is the balance after 1​ year? 2​ years? 5​ years? 10​ years?
​c) What is the doubling​ time?

helppppppp

Answers

Answer: a) The exponential function that describes the amount in the account after time t, in years, is given by:

A(t) = Pe^(rt)

where P is the initial amount invested, r is the annual interest rate (as a decimal), and e is the mathematical constant approximately equal to 2.71828.

Substituting the given values, we get:

A(t) = 19665e^(0.068t)

b) To find the balance after 1 year, we substitute t = 1 in the above formula:

A(1) = 19665e^(0.068*1) = $20,983.88

To find the balance after 2 years, we substitute t = 2:

A(2) = 19665e^(0.068*2) = $22,429.45

To find the balance after 5 years, we substitute t = 5:

A(5) = 19665e^(0.068*5) = $29,137.27

To find the balance after 10 years, we substitute t = 10:

A(10) = 19665e^(0.068*10) = $43,127.22

c) The doubling time can be found using the formula:

t = ln(2)/r

where ln is the natural logarithm function. Substituting the given values, we get:

t = ln(2)/0.068 ≈ 10.20 years

Therefore, the doubling time is approximately 10.20 years.

Step-by-step explanation:

Peter has 45 dollars in his pocket and James has 40 dollars. They want to give money to each other. How much money will they have left after they give to each other.

Answers

After the exchange, Peter will have 45 dollars & James will have 40 dollars.

What is an equation?

In mathematics, an equation shows that two expressions are equal. It consists of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. An equation is typically written with an equal sign (=) between the two expressions

First, let's find the total amount of money they have together:

45 + 40 = 85 dollars

Now, let's say Peter gives x dollars to James. Then, James will give x dollars to Peter as well.

After the exchange, Peter will have 45 - x + x = 45 dollars.

Similarly, James will have 40 + x - x = 40 dollars.

So, no matter how much they exchange, they will always have a total of 85 dollars.

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answer the question in the picture

Answers

The answer is Option B; Yes. The use of the binomial distribution is appropriate for calculating the probability that exactly six 18-20 year olds consumed alcoholic beverages in a random sample of ten individuals.

Why is the use of binomial distribution effective in this case?

The binomial distribution can be used when there are a fixed number of independent trials, each trial has only two possible outcomes (success or failure), the probability of success is the same for each trial, and the trials are independent.

In this case, we have a fixed number of ten independent trials (i.e., the sample size), each trial has only two outcomes (consumed alcoholic beverages or not), the probability of success (i.e., consuming alcoholic beverages) is the same for each trial (68.2%), and the trials are independent (i.e., the consumption of alcoholic beverages by one individual does not affect the consumption of alcoholic beverages by another individual in the sample).

Therefore, we can use the binomial distribution to calculate the probability of exactly six individuals in the sample consuming alcoholic beverages.

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The function f(x) = 2.5x^2 + 21x + 36 models the
dimensions of a rectangular piece of art. What is the average rate of change for the function over the interval 5
<× < 10?

Answers

Answer:

58.5

Step-by-step explanation:

We can find the average rate of change or--A(x) of a function using the formula:

[tex]A(x)=\frac{f(b)-f(a)}{b-a}[/tex]

[tex]A(x)=\frac{f(10)-f(5)}{10-5}[/tex]

Where f(b) and b are the larger value (in this problem 10) and f(a) and a are the smaller value (5).

To find f(b) and f(a), we simply plug in our two intervals for x:

[tex]A(x)=\frac{(2.5(10)^2+21(10)+36)-(2.5(5)^2+21(5)+36}{10-5}\\ A(x)=\frac{496-203.5}{5}\\ A(x)=\frac{292.5}{5}\\ A(x)=58.5[/tex]

The average rate of change for the function over the interval 5 < x < 10 is 58.5.

What is Average Rate of Change of a Function?

Average rate of change of a function is defined as the rate at which the value of the function is changing with respect to the change in the input values.

Given that,

The function,

f(x) = 2.5x² + 21x + 36

models the dimensions of a rectangular piece of art.

The average rate of change of the function over the interval (a, b) is,

f(b) - f(a) / b - a

Here interval is 5 < x < 10 = (5, 10).

Average rate of change is,

f(10) - f(5) / (10 - 5)

f(10) = (2.5)(10²) + (21 × 10) + 36 = 496

f(5) = (2.5)(5²) + (21 × 5) + 36 = 203.5

Substituting,

Average rate = (496 - 203.5) / (5) = 58.5

Hence the required average rate of change is 58.5.

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The assets and liabilities of a salesperson are listed below.
What is the value of the liquid assets?
A) $108,150
b)$1,119,992
c) $382.600
D) $891.418

Answers

The answer of the given question based on the liquid asset is ,  the value of the liquid assets is $1,171,942.

What is Liquid asset?

A liquid asset is an asset that can be easily and quickly converted into cash without significant loss of value. Examples of liquid assets include cash, money market instruments, stocks, and bonds. These assets are considered liquid because they can be easily traded in a financial market, and their value is easily determined based on supply and demand.  Assets that cannot be easily sold or converted into cash without significant loss of value are considered illiquid assets.

In this case, the liquid assets are the Retirement Portfolio, Investments, and Car Value.

The value of the liquid assets is:

Liquid assets = Retirement Portfolio + Investments + Car Value

Liquid assets = $891,418 + $228,574 + $51,950

Liquid assets = $1,171,942

Therefore, the value of the liquid assets is $1,171,942.

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The height distributions of two different classes at Dover elementary school are shown below both groups, have the same interquartile range how many times the third quartile range is the difference between the median height of the third grade class in the fourth grade class 1/4 1/2 two or four

Answers

The third quartile range is the difference between the median height of the third grade class and the fourth grade class, so the answer is two times.

Inga is solving 2x2 + 12x – 3 = 0. Which steps could she use to solve the quadratic equation? Select three options. 2(x2 + 6x + 9) = 3 + 18 2(x2 + 6x) = –3 2(x2 + 6x) = 3 x + 3 = Plus or minus StartRoot StartFraction 21 Over 2 EndFraction EndRoot 2(x2 + 6x + 9) = –3 + 9

Answers

The answer is , (a)  For equation 1 Use the quadratic formula , (b) For equation 2 use of Factor out the common factor , (c) For equation 3 use of Complete the square.

What is Quadratic equation?

A quadratic equation is a type of equation in algebra that contains a variable of degree 2, meaning that the highest power of the variable is 2.

Quadratic equations can have two real roots, one real root, or two complex roots, depending on the value of the discriminant (b² - 4ac). If discriminant is positive, equation has two real roots, if it is zero, equation has one real root (a "double root"), and if it is negative, equation has two complex roots.

Inga can use the following steps to solve the quadratic equation 2x² + 12x - 3 = 0:

Use the quadratic formula: Inga can use the quadratic formula, which is x = (-b ± √(b² - 4ac)) / 2a, where a, b, and c are the coefficients of the quadratic equation. In this case, a = 2, b = 12, and c = -3.Factor out the common factor: Inga can factor out the common factor of 2 from the equation to get 2(x² + 6x - 3/2) = 0.Complete the square: Inga can complete the square by adding (6/2)² = 9 to both sides of the equation to get 2(x² +6x +9 -9/2) = 9.

Therefore, steps that Inga could use to solve quadratic equation are given:

Use the quadratic formula

Factor out the common factor

Complete the square

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Evaluate the fraction 1/3 x (15+6)

Answers

according to the question the given fraction can be solved with equation 1/3 x (15+6) is equal to 7.

what is fraction?

To represent a whole, any quantity of equal parts or fractions can be utilised. In standard English, fractions show how many units there are of a particular size. 8, 3/4. Fractions are part of a whole. In mathematics, numbers are stated as a ratio between the numerator compared to the denominator. These can all be expressed as simple fractions as integers. A fraction appears in a complex fraction's numerator or denominator. The numerators of true fractions are smaller than the denominators. A sum that is a fraction of a total is called a fraction. You can analyse something by dissecting it into smaller pieces. For instance, the number 12 is used to symbolise half of a whole number or object.

given,

To evaluate the fraction 1/3 x (15+6), we need to perform the addition inside the parentheses first and then multiply the result by 1/3.

So, 15+6 equals 21.

Then, we can write:

1/3 x (15+6) = 1/3 x 21

Multiplying 1/3 by 21 gives:

1/3 x 21 = 7

Therefore, 1/3 x (15+6) is equal to 7.

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