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DIA [1.3K]
3 years ago
13

Christina needed 8 pounds of flour to make cookies that will

Mathematics
1 answer:
iogann1982 [59]3 years ago
6 0

Answer:

12

Step-by-step explanation:

4 pounds is 22 people

8 is 44

12 is 66

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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

<h2>Why?</h2>

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
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Tell whether the triangle with the given side lengths is a right triangle. Y/N question
melomori [17]

Answer:

Yes it is a right triangle.

Step-by-step explanation:

Because the Pythagorean Theorem states that a^{2} +b^{2} =c^{2}

85^{2}=7225\\84^{2}=7056\\13^{2}=169\\7056+169=7225

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2 years ago
Help, what are the next three numbers??
artcher [175]

Answer:

1.3, 1.6, 1.9

Step-by-step explanation:

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The formula for the hypotenuse of a right triangle with legs of length a and b is shown.
fomenos

Answer: b=\sqrt{c^{2}-a^{2}}

Step-by-step explanation:

To solve the exercise you must solve for b from the formula for the hypotenuse, as you can see below:

- Square both sides of the equation as following:

c^{2}=(\sqrt{a^{2}+b^{2}})^{2}

- Now you must subtract a² from each side of the equation, then you obtain:

c^2-a^{2}=a^{2}-a^{2}+b^{2}

c^2-a^{2}=b^{2}

- Apply square root to both sides:

\sqrt{b^{2}}=\sqrt{c^{2}-a^{2}}

Then:

b=\sqrt{c^{2}-a^{2}}

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Mrrafil [7]

Answer:Include

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