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2 years ago

What is the greatest common factor of 12 and 36

Mathematics

2 answers:

konstantin123 [22]2 years ago

4 0

12 is a factor of 36 and of course 12, so

Answer: 12

vekshin12 years ago

4 0

the greatest common factor of 12 and 36 is 12

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What is the missing angle measurement in the polygon shown below?

Zinaida [17]

Answer:

155 degrees

Step-by-step explanation:

Every 4 angled shape will equal 360

45+130+30+x=360

205+x=360

155=360

6 0

2 years ago

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In 2018, the population will grow over 700,000.The population of a city in 2010 was 450,000 and was growing at a rate of 5% per

Firlakuza [10]

Answer:

The year is 2020.

Step-by-step explanation:

Let the number of years passed since 2010 to reach population more than 7000000 be 'x'.

Given:

Initial population is, $P_0=450,000$

Growth rate is, $r=5\%=0.05$

Final population is, $P=700,000$

A population growth is an exponential growth and is modeled by the following function:

$P=P_0(1+r)^x$

Taking log on both sides, we get:

$\log(P)=\log(P_0(1+r)^x)\\\log P=\log P_0+x\log (1+r)\\x\log (1+r)=\log P-\log P_0\\x\log(1+r)=\log(\frac{P}{P_0})\\x=\frac{\log(\frac{P}{P_0})}{\log(1+r)}$

Plug in all the given values and solve for 'x'.

$x=\frac{\log(\frac{700,000}{450,000})}{\log(1+0.05)}\\x=\frac{0.192}{0.021}=9.13\approx 10$

So, for $x > 9.13$ , the population is over 700,000. Therefore, from the tenth year after 2010, the population will be over 700,000.

Therefore, the tenth year after 2010 is 2020.

8 0

2 years ago

HELP!!

cluponka [151]

42 6 7 times is 42 so the answer will be 42

7 0

2 years ago

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The total surface area of a cube is 96cm2, find its volume.

Setler [38]

Answer:

$\huge\boxed{V=64cm^3}$

Step-by-step explanation:

The formula of a surface area of a cube:

$SA=6a^2$

The formula of a volume of a cube:

$V=a^3$

We have

$SA=96cm^2$

Calculate the edge length (a).

$6a^2=96$ divide both sides by 6

$a^2=16\to a=\sqrt{16}\\\\a=4(cm)$

Calculate the volume of a cube:

$V=4^3=64(cm^3)$

6 0

2 years ago

To transmit information on the internet, large files are broken into packets of smaller sizes. Each packet has 1,500 bytes of in

erastova [34]

Answer: $x= 187.5p$

Step-by-step explanation:

Given : An equation relating packets to bytes of information : $b = 1,500p$ where p represents the number of packets and b represents the number of bytes of information.

1 byte = 8 bits

Let x= Number of bits such that 1 b = 8x

Put b = 8x in given equation , we get

$8x=1500p$

Divide both sides by 8 , we get

$x= 187.5p$

Hence, the equation represent the relationship between the number of packets and the number of bits : $x= 187.5p$

3 0

3 years ago

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