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shtirl [24]
3 years ago
9

In preparing for holiday festivities, confetti is stuffed into decorative spherical containers. Each container has a diameter of

12 inches. Approximately how much space does each canister need filled with confetti?
A
452 in3

B
509 in3

C
905 in3

D
7,238 in3
Mathematics
1 answer:
professor190 [17]3 years ago
5 0

Answer:

C. 905 in³

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, sphere

We know that the volume of a sphere is expresses as

V= 4/3πr³

Given that the diameter of the sphere is 12inches

Radius r= 12/2= 6 inches

Substituting our radius we can solve for the volume

V=4/3(3.142*6³)

V= (4*3.142*216)/3

V= 2714.68/3

V= 904.9in³

Approximately V= 905in³

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Based on the box-and-whisker plot shown below, match each term with the correct value.
olga55 [171]
Here are the numbers that represent each based on the box plot:

Median: 11 (located at the vertical line in the middle of the box)
Range: 19 - 7 = 12 (highest value - lowest value)
25%:  9 (at the left end of the box)
75%: 14 (at the right end of the box)
Interquartile range: 14 - 9 = 5 (the distance from the beginning to the end of the middle half of the data)
3 0
3 years ago
Have you ever been on or seen a ride like this at a fair or amusement park? Imagine being strapped into your seat at the bottom
Montano1993 [528]

Answer:

  no

Step-by-step explanation:

The only question here seems to be ...

  Have you ever been on or seen a ride like this at a fair or amusement park?

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I have not seen such a ride.

6 0
3 years ago
Y=750x+20,000 and y=950x+27,000 compare the two equations and summarize their differences
Lostsunrise [7]

Answer:

y = 200x + 7000

Step-by-step explanation:

950x-750x=200x

27,000-20,000=7000

hope this helps

6 0
2 years ago
(4 pts) If a rock is thrown vertically upward from the surface of Mars with an initial velocity of 15m/sec
Yuliya22 [10]

Answer:

Step-by-step explanation:

I see you're in college math, so we'll solve this with calculus, since it's the easiest way anyway.

The position equation is

s(t)=-1.86t^2+15t  That equation will give us the height of the rock at ANY TIME during its travels. I could find the height at 2 seconds by plugging in a 2 for t; I could find the height at 12 seconds by plugging in a 12 for t, etc.

The first derivative of position is velocity:

v(t) = -3.72t + 15 and you stated that the rock will be at its max height when the velocity is 0, so we plug in a 0 for v(t):

0 = -3.72t + 15 and solve for t:\

-15 = -3.72t so

t = 4.03 seconds. This is how long it takes to get to its max height. Knowing that, we can plug 4.03 seconds into the position equation to find the height at 4.03 seconds:

s(4.03) = -1.86(4.03)² + 15(4.03) so

s(4.03) = 30.2 meters.

Calculus is amazing. Much easier than most methods to solve problems like this.

7 0
3 years ago
The price of all rail season tickets to London increased by 4%. The price of a rail season ticket from Cambridge to London incre
kirill115 [55]
Percentage increase in the rate of all rail season tickets to London = 4%
Price of the rail ticket from Cambridge to London increased by = 121.60
Let us assume the price before the increase in the fare = x
Then
4% * x = 121.60 dollars
(4/100) * x = 121.60 dollars
x/25 = 121.60 dollars
x = 25 * 121.60 dollars
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So the price of the ticket from Cambridge to London before the increase in price was 3040. I hope the procedure is simple enough for you to understand.
8 0
3 years ago
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