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Mila [183]
3 years ago
10

A balloon has a circumference of 28 in. Use the circumference to approximate the volume of the balloon to the nearest square inc

h.
Answer choices:
3,659 in ^3
11,488 in ^3
2,964 in ^3
944 in ^3
Mathematics
1 answer:
RoseWind [281]3 years ago
5 0
The correct question is
a) <span>A balloon has a circumference of 28 in. Use the circumference to approximate the volume of the balloon to the nearest cubic inch.

</span>or

b) A balloon has a circumference of 28 in. Use the circumference to approximate the surface area of the balloon to the nearest square inch.

case a)
we know that
circumference=2*pi*r
clear variable r
r=circumference/(2*pi)
circumference=28 in
r=28/(2*pi)----> r=4.46 in

volume of a balloon=(4/3)*pi*r³-----> (4/3)*pi*4.46³----> 371.61 in³
Volume=372 in³

the answer is
372 in³


case b)
we know that
circumference=2*pi*r
clear variable r
r=circumference/(2*pi)
circumference=28 in
r=28/(2*pi)----> r=4.46 in

surface area of a balloon=4*pi*r²-----> 4*pi*4.46²---> 249.83 in²
Surface area=249.83 in²-------> 250 in²

the answer is
250 in²
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Can someone help with this?
skelet666 [1.2K]

Answer:

A

Step-by-step explanation:

only Ali's way would work in this situation. since there is a 5 on the right side, you can not use the zero product property. this only works if the right side is 0. so, you must use Ali's method.

6 0
3 years ago
You fit a trendline of y = 2x 1 to your data. what would the residual be for a data point measured as y = 3.5 for an x value of
nata0808 [166]

For a data point measured as y = 3.5 for an x value of x = 1.2, the residual would be 0.1

For given question,

we have been given an equation 2x + 1 that represents an equation for a trendline to the data.

General formula with residual is y = 2x + 1 + r, where r is a residual.

We need to find the residual for a data point measured as y = 3.5 for an x value of x = 1.2

We substitute given values of x and y in the residual equation

y = 2x + 1 + r

For y = 3.5 and x = 1.2,

⇒ 3.5 = 2(1.2) + 1 + r

⇒ 3.5 = 2.4 + 1 + r

⇒ r = 3.5 - 3.4

⇒ r = 0.1

Therefore, for a data point measured as y = 3.5 for an x value of x = 1.2, the residual would be 0.1

Learn more about the residual here:

brainly.com/question/10228420

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7 0
2 years ago
At the banquet 450 people had chicken and 150 had pasta. What percent of people has pasta?
Liono4ka [1.6K]

25 percent of people had pasta.

First add 450 and 150 (which equals 600)

Next divide 600 by 150 (which equals 4)

Which means 150 is a fourth of six hundred, and a fourth is 25 percent.

Which leads to my answer of 25 percent

5 0
3 years ago
A computer valued at $2500 loses 6.5% of its value every year. How much will it be worth in 4 years?
I am Lyosha [343]

Answer:

The computer will be worth $1,850 after four years.

Step-by-step explanation:

We need to find 6.5% of $2,500.

2,500 x 0.065 = $162.50

Therefore, the computer value <em>decreases</em> by $162.50 <u>each year</u>. Since we need to know the computer value after <u>4 years</u>, we also need to<em> multiply </em>the value of decrease by 4.

162.5 x 4 = $650

Therefore, after 4 years, the computer value <em><u>will decrease</u></em> by $650.

To find the <em>whole</em> computer value after 4 years, we need to <em>subtract</em> the initial value of $2,500 by the 4-year decreasing value of $650.

2,500 - 650 = $1850

Therefore, the computer will be worth $1,850 after four years.

Hope this helps! :D

5 0
3 years ago
A friend of mine is giving a dinner party. His current wine supply includes 9 bottles of zinfandel, 7 of merlot, and 11 of caber
Mashutka [201]

Answer: a) 783 ways; b) 593775 ways

Step-by-step explanation:

a) Your friend wants to select 3 zinfandel out of 9 from the supply in a particular order, which means:

P_{n,r} = \frac{n!}{(n-r)!}

P_{9,3} = \frac{9!}{(9 - 3)!}

P_{9,3} = \frac{9.8.7.6!}{6!}

P_{9,3} = 783

In the dinner party, the friend will have 783 ways of serving the zinfandel.

b) Now, your friend want to select 6 bottles out of 30 in no particular order and randomly selected. So:

C_{n,r} = \frac{n!}{r!(n - r)!}

C_{30,6} = \frac{30!}{6!.24!}

C_{30,6} = \frac{30.29.28.27.26.25.24!}{6.5.4.3.2.1.24!}

C_{30,6} = 593775

If you select 6 bottles randomly from 30, you will have 593775 ways of doing it.

6 0
3 years ago
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