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2 years ago

Find the distance between -7/8 and 3/8 on a number line

1 answer:

3 0

The distance is ten because first you minus the -7 to bring you to 0/8 and then you jump over 3 more to give you your distance

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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

September 6 is a Read Book Day.Polina read 5 times as many pages as Marcus read.Together,the read 108 pages.How many pages did e

Gemiola [76]

Answer:

The number of pages that Polina read was 90 and the number of pages that Marcus read was 18

Step-by-step explanation:

Let

x -----> number of pages that Polina read

y ----> number of pages that Marcus read

we know that

x+y=108 ----> equation A

x=5y -----> equation B

substitute equation B in equation A and solve for y

$5y+y=108\\6y=108\\y=18$

Find the value of x

$x=5y -----> x=5(18)=90$

therefore

The number of pages that Polina read was 90 and the number of pages that Marcus read was 18

3 0

2 years ago

In your path class, 60% of the student are girls. If there are 15 girls in the class, how many students are in your math class?

xxMikexx [17]

25 students in class

3 0

2 years ago

Read 2 more answers

Assume you are rolling two dice; the first one is red, and the second one is green. Use a systematic listing to determine the

trapecia [35]

Red die: 1,2,3,4
green die: 4,3,2,1

I'm not sure if that's the answer you were looking for, but hopefully that helps.

4 0

3 years ago

Anyone for 10 points??!!!<br> The question is in the image<br> Thanks But answer ASAP!

ivanzaharov [21]

Bottom Side Surface Area:

(24 inches + 24 inches + 24 inches) * (30 inches)

= 72 inches * 30 inches

= 2160 inches squared

--------

Top Side Surface Area:

24 inches * 30 inches

= 720 inches squared

--------

Length of the diagonal (D) which needs to be measured:

*Use Pythaogras's theorem...

24^2 + 10^2 = D^2

D=√(24^2+10^2)

D=26 inches

------------

Measure the surface area of the two ramps:

26 inches * 30 inches * 2

= 1560 inches squared

-----------

Total surface area:

2160 inches squared + 720 inches squared + 1560 inches squared

= 4440 inches squared

---------

Answer:

4440 square inches

8 0

3 years ago