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JulsSmile [24]
3 years ago
10

I need help on question #20 please!!!! Also show work!!! And tell me why the answer to the problem is correct. THANK YOU!!!

Mathematics
1 answer:
notsponge [240]3 years ago
3 0

1188 = π<em>r</em>²<em>h</em>

For the formula to solve for <em>h, </em>you have to change the equation to:

<em>h </em>= 1188/π<em>r</em>²

which is just moving h to the left side of the equation, and moving v(in this case 1188) to the right side.

because <em>h </em>was multiplied to the original equation, switching sides in an equation makes its replacement(1188) into a devision. (if you move a number across the = sign, the number will become the opposite of itself.)

Since you don't know the radius, you can't simplify this equation.

The answer is <em>h </em>= 1188/π<em>r</em>²

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Answer:  The average of the first two test scores is 97.

Step-by-step explanation:  Given that Kristie has taken five tests in science class. The average of all five of Kristie's test scores is 94 and the average of her last three test scores is 92.

We are to find the average score of her first two tests.

Let a1, a2, a3, a4 and a5 be teh scores of Kristle in first , second, third, fourth and fifth tests respectively.

Then, according to the given information, we have

\dfrac{a1+a2+a3+a4+a5}{5}=94\\\\\Rightarrow a1+a2+a3+a4+a5=94\times5\\\\\Rightarrow a1+a2+a3+a4+a5=470~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

and

\dfrac{a3+a4+a5}{3}=92\\\\\Rightarrow a3+a4+a5=92\times3\\\\\Rightarrow a3+a4+a5=276~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)

Subtracting equation (ii) from equation (i), we get

(a1+a2+a3+a4+a5)-(a3+a4+a5)=470-276\\\\\Rightarrow a1+a2=194\\\\\Rightarrow \dfrac{a1+a2}{2}=\dfrac{194}{2}\\\\\Rightarrow \dfrac{a1+a2}{2}=97.

Thus, the average of the first two test scores is 97.

6 0
3 years ago
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The number of viewers for television show 1 and show 2 is given as f = 14.7(0.94)ˣ and g = 15.2(1.03)ˣ

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An exponential function is in the form:

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Where a is the initial value of y and b is the multiplication factor.

Let f and g representing the approximate number of viewers, in millions,  x weeks after the tracking begins.

The number of viewers for television show 1 and show 2 is given as f = 14.7(0.94)ˣ and g = 15.2(1.03)ˣ

Find out more on exponential function at: brainly.com/question/12940982

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Answer:

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Step-by-step explanation:

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3 years ago
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