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2 years ago

What is the midpoint formula

Mathematics

1 answer:

JulijaS [17]2 years ago

8 0

Answer:

see image

Step-by-step explanation:

You average the x's and average the y's.

This means add x+x and divide by 2. And add y+y and divide by 2. See image.

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The rate of growth of profit (in millions) from an invention is approximated by Upper P prime (x )equals x e Superscript negati

Alecsey [184]

Answer:

The function is $P(x) = \frac{1}{2} e^{-x^2} +0.016$

Step-by-step explanation:

From the question we are told that

The rate of growth is $P'(x) = xe^{x} - x^2$

The total profit is $P(2) =$ $25,000

The time taken to make the profit is $x = 2 \ years$

From the question

$P'(x) = xe^{-x^2}$ is the rate of growth

Now here x represent the time taken

Now the total profit is mathematically represented as

$P(x) = \int\limits {P'(x)} \, = \int\limits {xe^{-x^2}} \,$

So using substitution method

We have that

$u = - x^2$

$du = 2xdx$

$p(x) = \int\limits {\frac{1}{2} e^{-u}} \, du$

$p(x) = {\frac{1}{2} [ e^{-u}} +c ]$

$p(x) = {\frac{1}{2} e^{-x^2}} + \frac{1}{2} c$ recall $u = - x^2$ and let $\frac{1}{2} c = Z$

At x = 2 years

$P(x) =$ $25,000

Since the profit rate is in million

$P(x) =$ $25,000 = $\frac{25000}{1000000} =$ $0.025 millon dollars

$0.025 = {\frac{1}{2} e^{-2^2}} + Z$

=> $Z = 0.025 - {\frac{1}{2} e^{-2^2}}$

$Z = 0.016$

So the profit function becomes

$P(x) = \frac{1}{2} e^{-x^2} +0.016$

5 0

3 years ago

HELP DUE IN 5 MINUTES

iris [78.8K]

Answer:

4cm

Step-by-step explanation:

The base of the triangle is 4cm. 14-10 = 4cm

5 0

2 years ago

Read 2 more answers

Need help pls pls pls pls pls pls

Crazy boy [7]

Answer:

Step-by-step explanation:

hi I think its d, sorry if I'm wrong

6 0

3 years ago

Which statement is true? A matrix separates rational and irrational numbers. A matrix separates positive and negative numbers. A

Jet001 [13]

I'm pretty sure the answer is "A matrix separates rational and irrational numbers." (Note: I'm not that great with memorizing definitions, but I'm pretty sure.) Hope this helps :)

5 0

3 years ago

On a track for remote controlled racing cars racing car A completes the track in 28 seconds while racing car B completes it in 2

ankoles [38]

We'll take out LCM of 24 seconds and 28 seconds.
that is, 168 seconds.

That means,
Car A and Car B will be side by side to each other after 2 mins 48 seconds after start.

5 0

3 years ago

Read 2 more answers