Answer:
1:24/100
Step-by-step explanation:
you divide both side
(d). Find the area of the region enclosed by the graphs of f(x)= x³ and g(x)=x²+2x. [Verify your answer by MATHEMATICA and attach the printout of the commands and output (e). Find the area of the region enclosed by the graphs of y = 3/X and y=4-X. [Verify your answer by MATHEMATICA and attach the printout of the commands and output
Answer:
d . 37/12 unit^2.
Step-by-step explanation:
d) First find the points of intersection of the the 2 graphs, by solving them simultaneously:
x^3 = x^2 + 2x
x^3 - x^2 - 2x) = 0
x(x^2 - x - 2) = 0
x(x - 2)(x + 1) = 0
So they intersect at x = -1, x = 0 and x = 2.
Take the area from x = 0 to x = 2)
2 2
Area = ∫ x^2 + 2x dx - ∫ x^3 dx
0 0
2
= [ x^3/3 + x^2 ) - x^4/4]
0
= ((8/3 + 4) - 0) - (16/4 - 0) -
= 8/3 unit^2
Now calculate the area from x = -1 to x = 0.
0
= (x^3/3 + x^2 ) - x^4/4 )
-1
= (( 0 +1/3 - 1) ) - (0 - 1/4)
= 5/12 unit^2
So the total area of the region = 8/3 + 5/12 = 37/12 unit^2.
a grower wishes to mix a one peso per gram chemical with 80 centavo per gram chemical to produce mixture of 200 grams chemical which he can sell for 84 centavo a gram. how many grams of each price of chemical should he use
40 grams of $ 1 per gram and 160 grams of $ 0.80 per gram should be used.
Since a grower wishes to mix a one peso per gram chemical with 80 cent per gram chemical to produce mixture of 200 grams chemical which he can sell for 84 cent a gram, to determine how many grams of each price of chemical should he use you must perform the following calculation:
(150 x 1 + 50 x 0.8) / 2 = 95 (140 x 1 + 60 x 0.8) / 2 = 94 (100 x 1 + 100 x 0.8) / 2 = 90 (50 x 1 + 150 x 0.8) / 2 = 85 (40 x 1 + 160 x 0.8) / 2 = 84
Therefore, 40 grams of $ 1 per gram and 160 grams of $ 0.80 per gram should be used.
Learn more in https://brainly.com/question/1012696
Find the GFC of 72 and 64
Answer:
8
Step-by-step explanation:
GCF of 64 and 72 is 8.
I hope it helps you..
Eight pins, each 43/8" long, have to be cut from a piece of drill rod. There is a 3/32" waste for each cut. What is the minimum length of rod you will need?
Answer:
Eight pins, each 43/8” long, have to be cut from a piece of drill rod. There is a 3/32” waste for each cut. What is the minimum length of rod you will need? 35” ...
PLEASE HELPPPP
Find m∠BXY.
Answer:
I think 30°Step-by-step explanation:
Pls make me brainliest plssssssssssssssImsureeeeeeee123
X+y=6 x-y=-2 solve by elimination
Step-by-step explanation:
x + y = 6
+ x - y = -2
------------------
2x + 0 = 4
x = 2
2 + y = 6
y = 4
A rectangle has a height of 362 and a width of 464 + 26 -6 what is the area?
Answer:
175,208 square units
Step-by-step explanation:
Lets calculate the width first:
464 + 26 - 6 = 484
The area is equal to the length times the width, so
362 x 484 = the area
= 175,208 square units
Solve for q.
7q–5q=16
q=
Answer:
q = 8
Step-by-step explanation:
7q - 5q = 16
Then you can subtract the 7q by 5q which will get you 2q.
So now it is 2q = 16, you can simply divide both sides by 2 to get 8
hope it helped!
Hello, I hope you are having a nice day.
7q-5q=16
Combine Like terms:
2q=16
Divide both sides by 2 in order to isolate q:
q=8.
So this is the answer. Hope it helps you. :)
Ask me if you have any queries.
~An emotional teenager who helps other people on Brainly
[tex]MagicalNature[/tex]
Good luck.
A food store is making 60 jars of vegetables. Each jar will get 7.83 ounces of peas and carrots
combined. The food store has 384 ounces of peas for all the jars, and the carrots will be divided
equally among the jars. How many ounces of carrots will go into each jar?
Answer:
1.43 ounces
Step-by-step explanation:
384 / 60 = 6.4
7.83 - 6.4 = 1.43
need help with identiifying slope thing i sent
Answer:
The slope is -5 and the y intercept is (0,4)
Step-by-step explanation:
The equation is written in slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = -5x+4
The slope is -5 and the y intercept is (0,4)
1 3/10 x 18 please show work and answer
Answer:
Step-by-step explanation:
1 3/10 x 18
(1 x 10 +3)/10 = 13/10
13/10 x 18 = (13 x 18) / 10 = 234/10 = (234/2) / (10/2) = 117/5 = 23 2/5 (a fraction is a division)
The answer to the expression showing the product of 1 3/10 x 18 is 23 2/5.
Given is an expression showing the product of 1 3/10 x 18, we need to solve it,
To multiply a mixed number by a whole number, you can convert the mixed number to an improper fraction and then multiply the fractions.
Here's how you can solve the problem:
Step 1: Convert the mixed number to an improper fraction:
1 3/10 = (1 × 10 + 3) / 10 = 13/10
Step 2: Multiply the fractions:
13/10 x 18/1 = (13 x 18) / (10 x 1) = 234 / 10
Step 3: Simplify the fraction, if possible:
234/10 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2:
234/10 = (234 ÷ 2) / (10 ÷ 2) = 117/5
Therefore, 1 3/10 x 18 = 117/5.
Alternatively, you can express the answer as a mixed number by dividing the numerator by the denominator:
117 ÷ 5 = 23 with a remainder of 2
So, the final answer is 23 2/5.
Learn more about mixed numbers click;
https://brainly.com/question/24137171
#SPJ6
Trayvon enters a competition to guess how many balls are in a barrel.
Trayvon’s guess is 63 balls.
The actual number of balls is 60.
What is the percent error of Trayvon’s guess?
5% error
Step-by-step explanation:
% error = (estimation - actual value)/actual value * 100%
Trayvon's estimation is 63 and the actual value is 60, so our expression is:
(63 - 60)/60 * 100
63 - 60 = 3, so we get:
3/60 * 100
And 3/60 = 0.05, so now we have:
0.05 * 100 = 5
The percent error of Trayvon’s guess is 5%
What is the absolute error?"It is the absolute difference between an observed value and the actual value."
What is the relative error?"It is the ratio of the absolute error of the measurement to the actual value."
What is the percent error?"It is the relative error multiplied by 100."
For given example.
Trayvon’s guess is 63 balls.
[tex]V_o=63[/tex]
The actual number of balls is 60.
[tex]V_A=60[/tex]
The absolute error is,
[tex]\Rightarrow A=|V_o-V_A|\\\\\Rightarrow A=|63-60|\\\\\Rightarrow A=3[/tex]
The relative error is,
[tex]\Rightarrow R=\frac{A}{V_A} \\\\\Rightarrow R=\frac{3}{60}\\\\ \Rightarrow R=0.05[/tex]
The percent error is,
[tex]\Rightarrow P=R\times 100\\\\\Rightarrow P=0.05\times 100\\\\\Rightarrow P=5\%[/tex]
Therefore, the percent error of Trayvon’s guess is 5%
Learn more about the percent error here:
https://brainly.com/question/3670306
#SPJ2
HELP! Evaluate the line integral where C is given by the vector function r(t).
Applying the steps, the result of the line integral is 99.
The curve is:
[tex]f(x,y,z) = xy i + 9y^2 j[/tex]
The vector field is:
[tex]r(t) = (x(t), y(t)) = (16t^6, t^4)[/tex]
Applying the vector field at the curve, we have that:
[tex]f(t) = (16t^{10}, 9t^8)[/tex]
The derivative of the vector field is:
[tex]r^{\prime}(t) = (96t^5, 4t^3)[/tex]
The dot product of the vector field along the curve with the derivative is:
[tex]f(t)r^{\prime}(t) = (16t^{10}, 9t^8)(96t^5, 4t^3) = 1536t^{15} + 36t^{11}[/tex]
Hence, the line integral is:
[tex]I = \int_{0}^{1} (1536t^{15} + 36t^{11}) dt[/tex]
[tex]I = 96t^{16} + 3t^{12}|_{t = 0}^{t = 1}[/tex]
[tex]I = 96 + 3[/tex]
[tex]I = 99[/tex]
A similar problem is given at https://brainly.com/question/12666512
1. Complete the problem by using your calculator. Round your answer to three decimal places.
If f(x)=x^3– 7x^2+ 3 find f(-2) and f(3/4)
a. f(-2) = 3 and f(3/4)= 2.728
b. f(-2)= 3 and f(3/4)= 10
c. f(-2)=-33 and f(3/4)=-0.516
d. f(-2)= 7 and f(3/4)= 21
e. f(-2)= 10 and f(3/4)=-0.968
nhing utility Round
Answer:
c.
Step-by-step explanation:
Plug in -2 for x ....
f(x) = -2^3 - 7(-2)^2 + 3
= -8 - 28 + 3
= -36 + 3
= -33
Plug in 3/4 for x ....
f(x) = 3/4^3 - 7(3/4)^2 + 3
= 27/64 - 63/16 + 3
The put in decimals ....
27/64 = .422
63/16 = 3.938
Put the decimals back into the equation ....
= .422 - 3.938 + 3
= -3.516 + 3
= -.516
Will all rational functions have at least one vertical asymptote? Justify your response with an
explanation
Answer:
no
Step-by-step explanation:
A rational function is the ratio of two polynomials. It will have a vertical asymptote if there is a real denominator zero that is not matched by one in the numerator.
Polynomials in general may or may not have real zeros, and two polynomials may have the same zero. Hence conditions may exist for a rational function not to have any vertical asymptotes.
An example with no vertical asymptotes is ...
f(x) = (x -1)/(x^2 +1)
Write an equation in slope-intercept form of the line shown.
Answer:
y=-3/2x+5
Step-by-step explanation:
The line intersects with points (2,2) and (4,-1). Slope intercept form is y=mx+b, where m is slope and b is the y intercept. The y intercept appears to be at (0,5), so b=5. As for the line, the formula for calculating slope is y2-y1/x2-x1 (the order of the points you use actually does not matter; you just have to make sure both coordinates from the same point are placed in the same part of the formula). -1-2/4-2=-3/2. Therefore, the slope is -3/2 (or -1.5 if you want a decimal).
A snack company makes packages of grapes and honeydew slices. The weight of an individual package of
grapes, G, is approximately Normally distributed with a mean of 3.25 ounces and a standard deviation of 0.91
ounces. The weight of an individual package of honeydew slices, H, is approximately Normally distributed with a
mean of 4.51 ounces and a standard deviation of 2.02 ounces. Assume G and H are independent random
variables. Let D=G-H. What is the probability that a randomly selected package of grapes weighs more than a
randomly selected package of honeydew slices?
O 0.127
O 0.230
0.284
0.334
Using the normal distribution, it is found that there is a 0.284 = 28.4% probability that a randomly selected package of grapes weighs more than a randomly selected package of honeydew slices.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. When two normal variables are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.In this problem, for each variable, [tex]\mu_G = 3.25, \sigma_G = 0.91, \mu_H = 4.51, \sigma_H = 2.02[/tex]
For the subtraction, we have that:
[tex]\mu_D = \mu_G - \mu_H = 3.25 - 4.51 = -1.26[/tex]
[tex]\sigma_D = \sqrt{\sigma_G^2 + \sigma_H^2} = \sqrt{0.91^2 + 2.02^2} = 2.2155[/tex]
The probability that a randomly selected package of grapes weighs more than a randomly selected package of honeydew slices is P(D > 0), which is 1 subtracted by the p-value of Z when X = 0.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0 - (-1.26)}{2.2155}[/tex]
[tex]Z = 0.57[/tex]
[tex]Z = 0.57[/tex] has a p-value of 0.7157.
1 - 0.715 = 0.284
0.284 = 28.4% probability that a randomly selected package of grapes weighs more than a randomly selected package of honeydew slices.
A similar problem is given at https://brainly.com/question/24663213
what set of angles can form a line
Answer:
Did u mean triangle? There are no angles on a line.
Or do you mean two angles of 90 degrees?
Step-by-step explanation:
2. which of the following shows the cube of a binomial?
Answer:
Socratic app
Step-by-step explanation:
it will help you
A 6-pack of ice cream sandwiches costs $3.86. What is the unit price, rounded to the nearest cent?
Answer: so either .64 or , .66,
Step-by-step explanation:
divide 3.86 by 6
x^2+12x-20/3x-5 = x^2+8x+12/2x+3
[tex] \frac{ {x}^{2} + 12x - 20}{3x - 5} = \frac{ {x}^{2} + 8x + 12}{2x + 3} [/tex]
Solution give;;;
Answer:
In attachment I have answered this problem.
what topics of algebra are on the shsat
Answer:
Step-by-step explanation:
Proportions.
Volume.
Scale.
Geometry (angles)
Solve for variable.
Logic.
Consecutive integers.
Unit conversion.
and much more...
Which is the correct solution for the following inequality: 9 ≤ 4x + 1 < 21
2 < x < 5
2 < x < 5
2 < x < 5
2 , <, x < 5
2 < x < 5
Answer:
2<=x<5
Step-by-step explanation:
first subtract one from all pieces, then divide by four. because you never divide by a negative so switching of sides is needed. Two is less than or equal to x which is less than five.
please help me with this and thank's
Answer:
Step-by-step explanation:
2 3. 5. + = 3 5. 8. + = 5 8. 13. + = Worked Example 1. The sequence of square numbers is. 1, 4, 9, 16, 25, 36, . . . Explain how to obtain the next number ...
Which expression has the same value as − 4 1/5 + 9 3/5?
Answer:
27 / 5
Step-by-step explanation:
− 4 1/5 + 9 3/5 = 5.4 or 5 2/5
27/5 = 5.4 or 5 2/5
2. Solve for x: 2(x - 5) = x + 3(x + 2)
Answer:
x=-8
Step-by-step explanation:
Answer:
x = -8
Step-by-step explanation:
Firstly, distrubute 2 to our parentheses (2x - 10). Now, let's add our like terms, 2x - 10 = 4x + 6 since x alone is one we add this to 3x, equaling 4x. Then we're going to move our variable and sign, 2x - 10 - 4x = 6. Alright, now combine like terms and calculate (2x - 4x), we know when we subtract two and four, it's a negative 2, -2x = 6 + 10 = 16. Now divide both sides of the equation by -2, 16 divided by -2 is -8. Therefore, x = -8, hope this helped! Have a great day!
The length of a rectangle is 2 in longer than its width.
If the perimeter of the rectangle is 68 in, find its length and width.
Answer:
Length: 18
Width: 16
Step-by-step explanation:
Maria just got a raise at work. She was making $9 per hour, but now she makes 150% of that amount. Explain how you would find the amount of money Maria now makes per hour.
Answer:
9.00 x 150%= $13.50 an hour
Step-by-step explanation:
maria started to make $9.00 and hour
you multiply 9.00 x 150= $13.50
hope this helps!
Complete the table for an object that goes 3/4 mile in 6 minutes .
The Consumer Price Index (CPI), which measures the cost of a typical package of consumer goods, was 202.2 in 2011 and 244.6 in 2016. Let x = 11 correspond to the year 2011 and estimate the CPI in 2014 and 2015. Assume
that the data can be modeled by a straight line and that the trend continue indefinitely Use two data points to find such a line and then estimate the requested quantities
Answer:
y = 8.48x + 108.92227.64236.12Step-by-step explanation:
According to given we have (x, y) pairs:
(11, 202.2) and (16, 244.6)Work out the equation of the line.
Find the slope:
m = (244.6 - 202.2)/(16 - 11) = 8.48Find the y- intercept using one pair of coordinates:
202.2 = 8.48*11 + bb = 202.2 - 93.28b = 108.92The line is:
y = 8.48x + 108.92Find the value of y when x = 14 and x = 15:
y = 8.48*14 + 108.92 = 227.64y = 8.48*15 + 108.92 = 236.12