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aleksklad [387]
3 years ago
13

How many cubic centimeters of air would be needed to completely fill a tennis ball with a diameter of 3 inches? Use 3.14 for \pi

π. Round your answer to the nearest whole number.
Mathematics
2 answers:
Dimas [21]3 years ago
7 0

Answer:

9.42

Step-by-step explanation:

stiv31 [10]3 years ago
5 0

Answer:

232

Step-by-step explanation:

1 inch = 2.54 cm

3 inches = 3*2.54

3 inches = 7.62 cm

r = d/2

r =7.62 / 2

r = 3.81 cm

V = 4/3 pi r^3

V = 4/3 * 3.14 * 3.81^3

V = 4/3 * 3.14 * 55.31

V = 232

Does seem a bit high but it is what I get.

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Denise has 5 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the
Rainbow [258]
<span>To solve this problem, we can use this formula d = rd (distance = rates x time) She runs at a speed of 9 mph and walks at a speed of 3 mph. Her distance running is d = 9tr where tr is the time she spends running Her distance walking is d = 3tw where tw is the time she spends walking The distances are the same so 9tr = 3tw We also know that the total time is 5 hours tr + tw = 5 tr = 5-tw Substitute this value of tr in the first equation 9tr = 3tw 9(5-tw) = 3tw 45-9tw = 3tw 45 = 12tw 3.75= tw Denise will spend 3.75 hours (3 hours, 45 minutes) walking back and 1.25 hours (1 hour, 15 minutes) running.</span>
6 0
3 years ago
Work out the following questions
Likurg_2 [28]

Answer:

a)8/21

b)1/9

Step-by-step explanation:

because when we divide fraction we resprocal the divisor

4 0
2 years ago
Read 2 more answers
in 2012, the population of a city was 63,000. by 2017, the population was reduced to approximately 54,100. identify any equation
Akimi4 [234]

Answer:

<em></em>f(x) = 63000(0.97)^x<em></em>

<em></em>

Step-by-step explanation:

Given

f(0) = 63000 ---x = 0, in 2012

f(5) = 54100 -- x = 5, in 2017

Required

Select all possible equations

Because there is a reduction in the population, as time increases; the rate must be less than 1.

An exponential function is represented as:

f(x) = ab^x

Where

b = rate

rate > 1 in options (a) and (b) i.e. 1.03

This implies that (a) and (b) cannot be true

For option (c), we have:

f(x) = 63000(0.97)^x

Set x = 0

f(0) = 63000(0.97)^0 = 63000*1=63000\\

Set x = 5

f(5) = 63000(0.97)^5 = 63000*0.8587=54098.1 \approx 54100

<em>This is true because the calculated values of f(0) and f(5) correspond to the given values</em>

For option (d), we have:

f(x) = 52477(0.97)^x

Set x = 0

f(0) = 52477(0.97)^0 - 52477* 1 = 52477

<em>This is false because the calculated value of f(0) does not correspond to the given value</em>

For option (e), we have:

f(x) = 63000(0.97)^\frac{1}{5x}

Set x = 0

f(0) = 63000(0.97)^\frac{1}{5*0} = 63000(0.97)^\frac{1}{0} =undefined

<em>This is false because the f(x) is not undefined at x = 0</em>

For option (f), we have:

f(x) = 52477(0.97)^{5x

Set x = 0

f(0) = 52477(0.97)^{5*0} = 52477(0.97)^0 =52477*1= 52477

<em>This is false because the calculated value of f(0) does not correspond to the given value</em>

<em>From the computations above, only (c) </em>f(x) = 63000(0.97)^x<em> is true</em>

4 0
3 years ago
On a coordinate plane, the coordinates of vertices R and T for a polygon are R(−6, 2) and T(5, 2). What is the length of Side RT
Nat2105 [25]
I think it would be 6 units
5 0
3 years ago
Read 2 more answers
which undefined geometric term can be described as a one dimensional set of point that has no beginning or end?
user100 [1]
A line-----------------
3 0
3 years ago
Read 2 more answers
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