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2 years ago

Help please I’m having trouble with this problem

Mathematics

2 answers:

seraphim [82]2 years ago

4 0

Answer:

$\sf length = 8b+2$

Explanation:

area of rectangle = length * width

Given:

Area: 64b² - 4

Width: 64b² - 4

using the formula:

$\hookrightarrow \sf 64b^2 - 4 = length * (8b - 2)$

$\hookrightarrow \sf \dfrac{64b^2 - 4 }{(8b - 2)} = length$

$\hookrightarrow \sf length = 8b+2$

german2 years ago

3 0

Answer: L= 90-3 i hope this helps u :)

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NetSell, a the TV remote control supplier for Lumyn Electronics, has a weekly production cost of q TV remote controls that is gi

natali 33 [55]

Answer:

a. $\frac{dC(q)}{dq} = 0.000012q^2 -0.06q + 100$

b. $\frac{dR(q)}{dq}=-0.01q+200$

$U'(2000)=-0.000012(2000)^2+0.05(2000)+100 = 152$

$U'(7000)=-0.000012(7000)^2+0.05(7000)+100 = -138$

Step-by-step explanation:

a) The marginal cost function is given by the derivative of the total cost function, in this way the marginal cost function for this company is:

$\frac{dC(q)}{dq} = \frac{dC(q)}{dq} (0.000004q^ 3 - 0.03q ^ 2 + 100q + 75000) = 0.000012q^2 -0.06q + 100$

b) The income function is given by the relation $R (q) = P (q) q = -0.005q^2 + 200q$ .

The marginal revenue function for the company is given by the derivative of the revenue function, in this way the marginal revenue function is:

$\frac{dR(q)}{dq}= -0.01q+200$

(c) The profit function of the company is given by the relation $U (q) = R (q) - C (q)$ , and the marginal utility function is given by the derivative of the utility function, in this way , the marginal utility function is:

$\dfrac{dU(q)}{dq}=R'(q) - C'(q) = -0.01q+200 - (0.000012q^2-0.06q+100) = -0.000012q^2+0.05q+100$

When q = 2000, the marginal utility is:

$U'(2000)=-0.000012(2000)^2+0.05(2000)+100 = 152$

When q = 7000, the marginal utility is:

$U'(7000)=-0.000012(7000)^2+0.05(7000)+100 = -138$

6 0

3 years ago

Evaluate 3x^2- 9 when x=-2

murzikaleks [220]

Answer:

Step-by-step explanation:

We know x = -2, so we can substitute -2 in for x

3x^2- 9

3*-2^2-9

Solve the exponent first (PEMDAS)

3*4-9

Multiply next

12-9

Subtract

6 0

3 years ago

Read 2 more answers

A student recorded her scores on weekly math

alina1380 [7]

Answer:

mean: 7.62

median: 8

mode: 9

Step-by-step explanation:

first you have to put the data set in order:

6,6,6,6,7,7,8,8,9,9,9,9,9

the mode is the most often repeated number in a data set so the mode in this data set would be 9. The median is the middle number in the data set. The middle number in this data set is 8. Lastly, the mean in a data set is all of the numbers in the data set added together and then divided by how many numbers are in the set. The equation for this data set would be 99/13= 7.62

hope this helps!!

7 0

3 years ago

the perimeter of the rectangle below is 98 units. Find the length of CD. Write your answer without variables. cd=4x+3 cb=5x+1

zimovet [89]

$2(4x + 3) + 2(5x + 1) = 98 \\ 8x + 6 + 10x + 2 = 98 \\ 18x + 8 = 98 \\ 18x = 90 \\ x = 5$
Substitute x with 5,

CD =
$4x + 3 \\ = 4(5) + 3 \\ = 20 + 3 \\ = 23$
CD = 23 units

Hope this helps.

7 0

3 years ago

Read 2 more answers

2.375 in expanded form

kari74 [83]

Answer:

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Step-by-step explanation:

Move the decimal place from 2.375 to the back of the number so it should look like this, 2375.

Than move the decimal place back to its original spot and count the amount of spaces you move. Remember, if you move forward, your exponent should be negative. For example, if the problem is 6.321, you would move the decimal place to the back like this, 6321. And then move it back to where it originally was, 6.321, the amount of spaces I moved was 3 spaces and I moved forward so It would be 6.321^-3

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3 years ago