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podryga [215]
1 year ago
11

Fruit juice comes in two types of containers. The first is a rectangular prism that is 9 inches tall and has a rectangular base

that measures 2 inches by 3 inches. The second container is a cylinder that is 8 inches tall and has a radius of 1.5 inches. Which of the following statements is valid? A. The volumes are the same. B. The prism has the greater volume. C. The cylinder has the greater volume. D. The volumes cannot be determined.
Mathematics
1 answer:
My name is Ann [436]1 year ago
3 0

The volume of a rectangular prism:

V_p=Bh\\\\B=wl\\\\w=2\ in;\ l=3\ in;\ h=9\ in

substitute

V_p=2\cdot3\cdot9=54\ in^3

The volume of a cylinder:

V_c=\pi r^2h\\\\r=1.5\ in;\ h=8\ in

substitute:

V_c=\pi\cdot(1.5)^2\cdot8=\pi\cdot2.25\cdot8=18\pi\ in^3\approx18\cdot3.14=56.52\ in^3

Answer: C. The cylinder has the greater volume.

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Which expression is equivalent to (x^6y^8)^3\x^2y^2
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Answer:

\large\boxed{\dfrac{(x^6y^8)^3}{x^2y^2}=x^{16}y^{22}}

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5 0
2 years ago
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By how much is 90125 more than 58478​
lorasvet [3.4K]

Hey there!

First, we should subtract them.

90125 - 58478 = 31,647

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Hope this helps!

Have a great day!

8 0
1 year ago
An engineer is designing an arch-shaped gate for the entrance to an amusement park. The gate must be 80 feet wide and 25 feet ta
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1) the form of the equation may be written as y = A(X - Xo)(X - X1)

Where Xo and X1 are the two roots of the equation.


2) We can fix the system of coordinates so that the vertex is in the middle of the gate => Xo = - 40 and X1 = +40


=> y = A (X + 40) (X - 40) = A (X^2 - 1600) 


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4) The equation is y =  - [1/64] (X^2 - 1600)


5) You can present it in different equivalent forms.

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1) - 64y = (x^2 - 1600)

2) x^2 = - 64y + 1600

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2 years ago
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<span>Let x be the number of songs downloaded.
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<u>To solve this, we divide both sides by 1.29: </u>
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We <u>cannot download half of a song</u>, so we round this down to 15 (although the number rounds up mathematically, he would not have enough money to download 16 songs). This means he can download at most 15 songs.</span>
8 0
2 years ago
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