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Thepotemich [5.8K]
3 years ago
14

Val measures the diameter of a ball as 6 inches. How many cubic inches of air does this ball hold, to the nearest tenth? Use 3.1

4 for π.
Mathematics
1 answer:
7nadin3 [17]3 years ago
3 0

Answer:

The ball holds 113.0 cubic inches of air

Step-by-step explanation:

Firstly we need to know the shape of the ball

A ball is spherical in shape

So to know the number of cubic inches, we have to find the volume of air in the ball

Mathematically, we can do this by finding the volume of the ball using the formula for the volume of a sphere

The formula for the volume of a sphere is ;

V = 4/3 * pi * r^3

in this case, r = d/2 = 6 /2 = 3 inches

where r is the radius of the ball and d is the diameter of the ball

So, substituting these values , we have

V = 4/3 * 3.14 * 3^3 = 113.0 cubic inches

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What is the slope of the line that passes through the points (6,4) and (-3,-7)
ANEK [815]

Answer:

m = 11/9

Step-by-step explanation:

m = (y2 - y1) / (x2 - x1)

= (-7 - 4) / (-3 - 6)

= -11/-9

= 11/9

7 0
3 years ago
What is the upper quartile, Q3, of the following data set? 54, 53, 46, 60, 62, 70, 43, 67, 48, 65, 55, 38, 52, 56, 41
scZoUnD [109]
The original data set is 
{<span>54, 53, 46, 60, 62, 70, 43, 67, 48, 65, 55, 38, 52, 56, 41}

Sort the data values from smallest to largest to get
</span><span>{38, 41, 43, 46, 48, 52, 53, 54, 55, 56, 60, 62, 65, 67, 70} 
</span>
Now find the middle most value. This is the value in the 8th slot. The first 7 values are below the median. The 8th value is the median itself. The next 7 values are above the median. 

The value in the 8th slot is 54, so this is the median

Divide the sorted data set into two lists. I'll call them L and U 
L = {<span>38, 41, 43, 46, 48, 52, 53}
U = {</span><span>55, 56, 60, 62, 65, 67, 70}
they each have 7 items. The list L is the lower half of the sorted data and U is the upper half. The split happens at the original median (54).

Q3 will be equal to the median of the list U
The median of U = </span>{<span>55, 56, 60, 62, 65, 67, 70} is 62 since it's the middle most value. 

Therefore, Q3 = 62

Answer: 62</span>
4 0
3 years ago
Cara has $25 to buy dry pet food a pound of dog food costs $2 and treats are $1 apiece if she buys 9 pounds of food the greatest
zzz [600]

Cost of each pound of dog food = $2 .

Total cost of 9 pounds of dog food = 9 * 2 = $18.

Let us assume number of treats she can buy = t.

Cost of each treat = $1.

Cost of t number of treats = 1*t = 1t .

Total money Cara has = $25.

We can setup an inequality as,

Total cost of dog food + total cost of t number of treats ≤ 25.

18 + 1t ≤ 25.

Subtracting 18 from both sides, we get

18 + 1t -18  ≤ 25-18.

1t ≤ 7 or t ≤ 7.

So, she can purchase 7 or less treats.

5 0
3 years ago
You borrowed $59,000 for 2 years at 11% which was compounded annually. What
gayaneshka [121]

Answer:

$72693.9

Step-by-step explanation:

To get this answer you need to use the compound interest formula, which will be A=P(1+r/n)^n(t). P=59,000 r=11%=0.11 n=1 (annually) t=2 years. From there you should be able to figure the rest out and get the answer. Hope this helps!

6 0
2 years ago
suppose andrew slept for eight hours one night. Ten percent of his sleep hours were before mignight. What.time did andrew go to
m_a_m_a [10]
Answer: 11:12 PM.
explanation:
- 10% of 8 is 0.8. (10% is 0.1, and you multiply this by 8)
- multiply 0.8 by 60 so you can get the number of minutes before midnight (this is 48).
- 48 minutes before midnight is 11:12.
6 0
3 years ago
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