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Musya8 [376]
3 years ago
6

What is the value of x?

Mathematics
1 answer:
V125BC [204]3 years ago
7 0
The value of X is 1
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Manuel bought a balloon (that is a perfect sphere) with a radius of 2 \text{ cm}2 cm2, start text, space, c, m, end text. He wan
mote1985 [20]

Answer:

<h2>The required ratio is 8</h2>

Step-by-step explanation:

Volume of a sphere = \frac{4}{3}\pi  r^{3} where r is the radius of the sphere.

If manuel bought a balloon (that is a perfect sphere) with a radius of 2cm, the original volume of the sphere is expressed as;

Vo = \frac{4}{3}\pi  (2)^{3}

Vo  = \frac{4}{3}\pi *8\\Vo = \frac{32 \pi}{3}

If he wanted his balloon to be bigger and he blew 2 big breaths of air into the balloon, if each big breath increased the balloon's radius by 1cm, the total radius will be the initial radius of the sphere plus the new radius after expansion.

radius of current sphere = 2cm+(1cm+1cm) = 4cm

Volume of the current sphere Vc = \frac{4}{3}\pi  (4)^{3}

Vc = \frac{4}{3}\pi *64\\Vc = \frac{256 \pi}{3} \\

The ratio of the current volume of the balloon Vc to the original volume of the balloon Vo will be expressed as;

Vc/Vo = \frac{\frac{256\pi}{3} }{\frac{32\pi}{3} }

\frac{Vc}{Vo}=\frac{256\pi}{3}*\frac{3}{32\pi}   \\\frac{Vc}{Vo}=\frac{256}{32}\\\frac{Vc}{Vo}= 8

The required ratio is 8

3 0
2 years ago
The subset of the sample space probability experiment
leva [86]

Step-by-step explanation:

The sample space of a random experiment is the collection of all possible outcomes. An event associated with a random experiment is a subset of the sample space. The probability of any outcome is a number between 0 and 1. The probabilities of all the outcomes add up to 1.

3 0
2 years ago
Which statement compares the two numbers correctly?
Over [174]

Answer:

D) six hundred twenty-nine thousandths > six times one tenth plus three times one hundredth plus two times one thousandth

629000>8403     TRUE

Step-by-step explanation:

A) six times one tenth plus three times one hundredth plus two times one thousandth < six hundred twenty-nine thousandths

8,403.00

<629000 FALSE

B) six times one tenth plus three times one hundredth plus two times one thousandth = six hundred twenty-nine thousandths

8403= 629000   FALSE

C) six hundred twenty-nine thousandths < six times one tenth plus three times one hundredth plus two times one thousandth

629000<8403 FALSE

D) six hundred twenty-nine thousandths > six times one tenth plus three times one hundredth plus two times one thousandth

629000>8403     TRUE

Hope This Helps!!!

5 0
3 years ago
HELPPPPPPPPPPPP!!!!!
kykrilka [37]
9=3^2

3^(2x)=(3^2)^(3x-4)
3^(2x)=3^(6x-8)
2x=6x-8
0=4x-8
8=4x
2=x
6 0
3 years ago
Read 2 more answers
An office building has 23 offices. The floor area of each office is 305 square feet. Which shows the equation you can use to fin
Mumz [18]

Answer: D.23 x 305 = n, n = 7015

Step-by-step explanation:

23 x 305 = 7015

7015 square feet

3 0
3 years ago
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