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3 years ago

A pumpkin fill a 750 gallon tank in 35 minutes how long will it take to fill a 1000 gallon tank with the same pump

Mathematics

1 answer:

astra-53 [7]3 years ago

6 0

Approximately 46 minutes. Hope I helped! :)

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Find the derivative of f(x) = 4 divided by x at x = 2.

polet [3.4K]

<h2>Hello!</h2>

The answer is:

$f'(2)=-1$

To solve this problem, first we need to derivate the given function, and then, evaluate the derivated function with x equal to 2.

The given function is:

$f(x)=\frac{4}{x}$

It's a quotient, so, we need to use the following formula to derivate it:

$f'(x)=\frac{d}{dx}(\frac{u}{v}) =\frac{v*u'-u*v'}{v^{2} }$

Then, of the given function we have that:

$u=4\\v=x$

So, derivating we have:

$f'(x)=\frac{d}{dx}(\frac{4}{x}) =\frac{x*(4)'-4*(x)'}{x^{2} }$

$f'(x)=\frac{d}{dx}(\frac{4}{x}) =\frac{x*0-4*1}{x^{2} }$

$f'(x)=\frac{d}{dx}(\frac{4}{x}) =\frac{0-4}{x^{2} }$

$f'(x)=\frac{d}{dx}(\frac{4}{x}) =\frac{-4}{x^{2} }$

Hence,

$f'(x)=\frac{d}{dx}(\frac{4}{x}) =\frac{-4}{x^{2} }$

Now, evaluating with x equal to 2, we have:

$f'(2)=\frac{-4}{(2)^{2} }$

$f'(2)=\frac{-4}{4}$

$f'(2)=-1$

Therefore, the answer is:

$f'(2)=-1$

Have a nice day!

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3 years ago

Read 2 more answers

At Jefferson Middle School, eighty-two students were asked which sports they plan to participate in for the coming year. Twenty

blondinia [14]

Answer:

30 students they are including the students that are also planning to participate in other sports to.

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3 years ago

Pls help idk how to do this<br><br>''solve for the angle with Trig''<br><br>Solve for 0<br>

nalin [4]

Answer:

24.15

Step-by-step explanation:

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3 years ago

What is the value of the expression 1/4 ^-3?

zloy xaker [14]

$(\frac{1}{4})^{-3}= (\frac{4}{1})^3\\\\=(4)^3\\\\=4\times 4\times 4\\\\=16\times 4\\\\=64$

Your final answer is B. 64.

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3 years ago

2.) Priya is stacking building blocks to make a tower. She takes a break

Marizza181 [45]

5/8x? =2 1/2
And
5/8 - 2 1/2 =?
The answer would be those 2 can you plz park this a bran list

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3 years ago

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