A mixed number in simplest form, in the box is 40 5/8 cm^3.
We have given that,
The figure contains a right rectangular prism. The length of the prism is labeled 6 and one-half centimeters, the width is labeled 2 and one-half centimeters, and the height is labeled 2 and one-half centimeters.
<h3>What is the volume of the prism?</h3>
The figure is a rectangular prism, so the formula would be Volume = length x width x height.
length = 6 .5cm
width = 2.5cm
height = 2.5cm
If you plug everything you have in the problem into the volume equation, you would get
volume = 6.5cm x 2.5cm x 2.5 cm.
Without a calculator first, turn the mixed numbers into improper fractions.
6 .5=13/2
2.5 = 5/2
Volume = 13/2 x 5/2 x 5/2
When you multiply everything together you should get.
As a mixed number, that would be 40 5/8.
To learn more about the prism visit:
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We know the perimeter formula would be 1200=2x+2y. And the area will be A=x*y
We can to take the derivative of the area formula to find where it is a max but we must first substitute something in from the first formula so we only have one variable.
1200-2x=2y
600-x=y
A=(x)*(600-x)
A=600x-x^2
Now we take the derivative:
A'=600-2x (set equal to 0 and solve)
0=600-2x
2x=600
x=300
Then when we plug this into the perimeter formula, we can solve for y
1200=2x+2y
1200=2(300)+2y
1200=600+2y
600=2y
y=300
So both the length and width are 300 yards, and the area would be 90,000 square yards
Hope this helps
Answer:
89.1
Step-by-step explanation:
As the ball bounces, the height lowers due to gravity, Goes down by 50, 40, 32, 26.6. It should continue to go down.
(If im wrong ill edit the answer.)
Answer:
<u>20,000 packages </u>
Step-by-step explanation:
The rest of the question is as following:
If x represents the number of packages of dog treats, how many packages do they have to sell to break even? Round your answer to the nearest whole number, and do not include units.
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The function of fixed and variable costs ⇒ C(x) = 1.4x + 2000
The function of revenue ⇒ R(x) = 1.5x
So, to break even
C(x) = R(x)
1.4 x + 2000 = 1.5x
1.5x - 1.4x = 2000
0.1 x = 2000
x = 2000/0.1 = 20,000
The even will happen when they sell 20,000 packages
So, To break even, they have to sell more than 20,000 packages .
9 feet and 36 inches
8+1=9
9x4=36
