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cupoosta [38]
3 years ago
9

The earth exerts a gravitational force of F(f)=(2.99x10^16)/r^2 newtons on an object with a mass of 75kg located r meters from t

he center of the earth. Find the rate of change of force with respect to distance.
Mathematics
1 answer:
QveST [7]3 years ago
6 0
Umm this should be in physics but F is proportional to 1/r^2 I am assuming you want to just take the derivative in respect to r of both sides of the equation

 F = (2.99x10^16)/r^2
So you do that and you get 
dF/dr = -2(2.99 * 10 ^16)/ (r^3)

is this for calc class? 
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Mark save $258 more than Neil. In fact Mark saved $7 for every $4 Neil saved. How much money did Mark say?
olasank [31]

Let

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x---------> amount of money saved by Neil


we know that

x=y+258-------> equation 1

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RIDDLE ME THIS Fresh and invigorated after completing her algebra homework, Mimi appeared at the living room door. She held a pi
Marat540 [252]

Answer:

Mimi is 15.

Step-by-step explanation:

Set up two equations, and solve by elimination.

 2(m+5) = d+5

- 3(m-5) =  d-5

_____________

2(m+5) - 3(m-5) = 10

2m + 10 - 3m + 15 = 10

-m + 25 = 10

-m = -15

<u>m = 15</u>

Plug this back in to get dad's age.

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8 0
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The rabbit population of Springfield, Ohio was 144,000 in 2016. It is expected to decrease by about 7.2% per year. Write an expo
xeze [42]
<h2>Hello!</h2>

The answer is:

In 2036 there will be a population of 32309 rabbits.

<h2>Why?</h2>

We can calculate the exponential decay using the following function:

P(t)=StartAmount*(1-\frac{percent}{100})^{t}

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t, is the time elapsed.

We are given:

StartAmount=144,000\\x=7.2(percent)\\t=2036-2016=20years

Now, substituting it into the equation, we have:

P(t)=StartAmount(1-\frac{percent}{100})^{t}

P(t)=144000*(1-\frac{7.2}{100})^{20}

P(t)=144000*(1-0.072)^{20}

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P(t)=144000*(0.928)^{20}

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Hence, we have that in 2036 the population of rabbis will be 32309 rabbits.

Have a nice day!

5 0
3 years ago
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