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2 years ago

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Retailers will buy 45 Wi-Fi routers from a wholesaler if the price is $10 each but only 20 if the price is $85. The wholesaler w

ill supply 56 routers at $46 each and 70 at $50 each. Assuming that the supply and demand functions are linear, find the market equilibrium point.

1 answer:

Basile [38]2 years ago

6 0

I believe it’s is 1000

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kevin is trying to find the height of a tree. he stands 100ft away from the tree and records the angle of elevation to the top o

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2 years ago

What is the answer to 2937682+28373938

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Answer: 31311620

Step-by-step explanation: Calculator

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2 years ago

Use the fundamental theorem of calculus to find the area of the region between the graph of the function x^5 + 8x^4 + 2x^2 + 5x

BaLLatris [955]

Answer:

The area of the region is 25,351 $units^2$ .

Step-by-step explanation:

The Fundamental Theorem of Calculus:<em> if </em> $f$ <em> is a continuous function on </em> $[a,b]$ <em>, then</em>

$\int_{a}^{b} f(x)dx = F(b) - F(a) = F(x) | {_a^b}$

where $F$ is an antiderivative of $f$ .

A function $F$ is an antiderivative of the function $f$ if

$F^{'}(x)=f(x)$

The theorem relates differential and integral calculus, and tells us how we can find the area under a curve using antidifferentiation.

To find the area of the region between the graph of the function $x^5 + 8x^4 + 2x^2 + 5x + 15$ and the x-axis on the interval [-6, 6] you must:

Apply the Fundamental Theorem of Calculus

$\int _{-6}^6(x^5+8x^4+2x^2+5x+15)dx$

$\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx\\\\\int _{-6}^6x^5dx+\int _{-6}^68x^4dx+\int _{-6}^62x^2dx+\int _{-6}^65xdx+\int _{-6}^615dx$

$\int _{-6}^6x^5dx=0\\\\\int _{-6}^68x^4dx=\frac{124416}{5}\\\\\int _{-6}^62x^2dx=288\\\\\int _{-6}^65xdx=0\\\\\int _{-6}^615dx=180\\\\0+\frac{124416}{5}+288+0+18\\\\\frac{126756}{5}\approx 25351.2$

3 0

2 years ago

Priya has a recipe for banana bread. She uses 7 1/2 cups of flour to make 3 loaves of

Umnica [9.8K]

Answer:

2 1/2 cups of flour

Step-by-step explanation:

Priya is making 3 loaves of bread, so she will use 7 1/2 cups of flour.

Andre is making 1 loaf of bread, which is 1/3 the amount of loaves Priya is making. So, he will be using 1/3 the amount of flour Priya is using. So all we have to do is take 7 1/2 and divide it by 3:

7.5/3 = 2.5

Andre will use 2 1/2 cups of flour.

4 0

2 years ago

Write an expression to match the statement 1/5 of the difference between 18 and 11

Artemon [7]

$(18 - 11) \div 5$

8 0

3 years ago

Read 2 more answers