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3 years ago

Identify a common factor (other than 1) of the terms in the expression −7x+21

Mathematics

2 answers:

Naddika [18.5K]3 years ago

4 0

Answer:

Step-by-step explanation:

jjefhiuewubgiurbvrebf

quester [9]3 years ago

3 0

Answer:

7(-x+3)

Step-by-step explanation:

21 is the multiple of 7

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The initial population of a town is 2600, and it grows with a doubling time of 10 years. Determine how long it will take for the

choli [55]

Answer:

It will take the 20 years for the population to quadruple.

Step-by-step explanation:

Exponential population growth:

An exponential model for population growth has the following model:

$P(t) = P(0)(1+r)^t$

In which P(0) is the initial population and r is the growth rate, as a decimal.

It grows with a doubling time of 10 years.

This means that $P(10) = 2P(0)$ . We use this to find r. So

$P(t) = P(0)(1+r)^t$

$2P(0) = P(0)(1+r)^10$

$(1+r)^10 = 2$

$\sqrt[10]{(1+r)^10} = \sqrt[10]{2}$

$1+r = 2^{\frac{1}{10}}$

$1 + r = 1.0718$

$P(t) = P(0)(1+r)^t$

$P(t) = P(0)(1.0718)^t$

Determine how long it will take for the population to quadruple.

This is t for which P(t) = 4P(0). So

$P(t) = P(0)(1.0718)^t$

$4P(0) = P(0)(1.0718)^t$

$(1.0718)^t = 4$

$\log{(1.0718)^t} = \log{4}$

$t\log{1.0718} = \log{4}$

$t = \frac{\log{4}}{\log{1.0718}}$

$t = 20$

It will take the 20 years for the population to quadruple.

5 0

3 years ago

Here are 5 cards with a picture of a rose and 3 cards with a picture of a daisy. Alia keeps all the cards down on a table with t

Sergio039 [100]

4 over 7 because, she takes away a rose card from the total 8 cards she has, but also takes away a card from the total amount of cards.

Then again, I might be wrong :P

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3 years ago

Find y by itself 7y=14x-21

vlada-n [284]

Answer: y=2x-3

Step-by-step explanation:

divide both sides by 7

7y/7=(14x-21)/7

y=2x-3

8 0

3 years ago

Read 2 more answers

Last Sunday, the average temperature was 8%, percent higher than the average temperature two Sundays ago. The average temperatur

MArishka [77]

Answer: 1.08T and (1+8/100)T

Step-by-step explanation:

Given: The average temperature two Sundays ago was T degrees Celsius.

Since, last Sunday, the average temperature was 8% higher than the average temperature two Sundays ago.

⇒ The average temperature last Sunday $=8\%\ of\ T+T$

Since 8%=0.08

Therefore, The average temperature last Sunday $=\frac{8}{100}\timesT+T$

⇒ The average temperature last Sunday $=T(\frac{8}{100}+1)$

⇒ The average temperature last Sunday $=T(0.08+1)$

⇒ The average temperature last Sunday $=T(1.08)$

Thus, the right option is 1.08T and (1+8/100)T.

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3 years ago

What is the multiplicative inverse of -1/2

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In mathematics, the reciprocal, or multiplicative inverse, of a number x is the number which, when multiplied by x, yields 1. It is denoted 1/x or x-1.

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3 years ago