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2 years ago

10

What is the volume, V, of a right triangular prism with a base that is a right triangle with legs measuring 7 inches and 4 inche

s, and with a height measuring 7 inches?

2 answers:

kotegsom [21]2 years ago

7 0

Answer:

98

Step-by-step explanation:

i just finished this practice

siniylev [52]2 years ago

3 0

Answer:

98 in³

Step-by-step explanation:

I just did the practice with a 100 percent and all answers correct first try :P

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Find f such that the given conditions are satisfiedf’(x)=x-4, f(2)=-1

kicyunya [14]

Given:

$f^{\prime}\left(x\right)=x-4,\text{ and}f\left(2\right)=-1$

To find:

The correct function.

Explanation:

Let us consider the function given in option D.

$f(x)=\frac{x^2}{2}-4x+5$

Differentiating with respect to x we get,

$\begin{gathered} f^{\prime}(x)=\frac{2x}{2}-4 \\ f^{\prime}(x)=x-4 \end{gathered}$

Substituting x = 2 in the function f(x), we get

$\begin{gathered} f(2)=\frac{2^2}{2}-4(2)+5 \\ =2-8+5 \\ =-6+5 \\ f(2)=-1 \end{gathered}$

Therefore, the given conditions are satisfied.

So, the function is,

$f(x)=\frac{x^{2}}{2}-4x+5$

Final answer: Option D

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