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postnew [5]
3 years ago
7

I have a flower vase with a 6 " diameter and is 12 " tall I want to fill it 2/3 of the way full how many cubic inches will I fil

l? Do not round your answer.​
Mathematics
1 answer:
RSB [31]3 years ago
8 0

Answer:

72\pi\ in^{3}

Step-by-step explanation:

step 1

<em>Calculate the volume of the cylinder (flower vase)</em>

The volume is equal to

V=\pi r^{2}h

we have

r=6/2=3\ in -----> the radius is half the diameter

h=12\ in

substitute the values

V=\pi (3)^{2}(12)=108\pi\ in^{3} ------> exact value

step 2

Calculate  2/3 of the volume

V=(2/3)108\pi=72\pi\ in^{3}

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Step-by-step explanation:

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When Judy worked 4 hours and Ben worked 1 hour, their combined pay was $75. When Judy worked 2 hours and Ben worked 6 hours, the
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Answer:

$15

Step-by-step explanation:

let the hourly rate of pay for Ben  = B

let the hourly rate of pay for Judy  = J

Judy worked 4 hours and Ben worked 1 hour, their combined pay was $75;

              4J + B = 75 ----- i

Judy worked 2 hours and Ben worked 6 hours, their combined pay was $120

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Now, we should solve the expression;

   Multiply equation ii by 2 and equation i by 1;

 

            4J + B = 75 ----- i    x 1  ;    4J + B  = 75          -- iii

            2J + 6B  = 120 --- ii  x 2 ;   4J + 12B  = 240    ---iv

Now,

 equation iv - iii;

                   11B  = 165

                      B  = $15

So, solving for J;

          4J + B = 75

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3 0
3 years ago
A graph of a quadratic function y = f(x) is shown below.
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We are given a graph of a quadratic function y = f(x) .

We need to find the solution set of the given graph of a quadratic function .

<em>Note: Solution of a function the values of x-coordinates, where graph cut the x-axis.</em>

For the shown graph, we can see that parabola in the graph doesn't cut the x-axis at any point.

It cuts only y-axis.

Because solution of a graph is only the values of x-coordinates, where graph cut the x-axis. Therefore, there would not by any solution of the quadratic function y = f(x).

<h3>So, the correct option is 2nd option :∅.</h3>
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3 years ago
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chubhunter [2.5K]

9514 1404 393

Answer:

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The equation you're writing is in slope-intercept form. The coefficient of x is the slope, which is the "rise"/"run" of the line.

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2 years ago
Solve for x. <br> A) 11<br> B) 9<br> C) 6<br> D) 7
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Answer:

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