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Stels [109]
2 years ago
9

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

  So  

        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

So

       Since the profit rate is in million

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

So  

       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:

d.

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
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