MATHEMATICS COLLEGE

Rewrite the expression as a product using GCF and distributive property= 27+45= Explain your answer.

Answers

Answer 1

Answer:

Step-by-step explanation:

The greatest common factor (GCF) of 27 and 45 is 9.

27 + 45

9 (3 + 5)

9 (8)

Answer 2

Answer:

Final answer:

The expression 27 + 45 is rewritten using the Greatest Common Factor (GCF) and the distributive property as 9*(3 + 5) = 72.

Explanation:

The given expression is 27 + 45. To rewrite this using the Greatest Common Factor (GCF) and the distributive property, we first find the GCF of the two numbers. The GCF of 27 and 45 is 9. We then divide each number by the GCF and rewrite the expression using the distributive property.

So, 27 + 45 = 9*(3 + 5) = 9*8 = 72.

The above step is the application of the distributive property, where a*(b + c) = ab + ac.

Learn more about GCF and distributive property here:

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6^3x=14 Show your work

Answers

Answer:

Is 3x supposed to be an exponent?

Step-by-step explanation:

Both possible answer are provided

3x as an exponent and as 6 times 3x

What is 23 squared ?

Answers

The value of the 23² number will be 529.

What is an expression?

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

Given that there is a number 23 and is squared. The value of the 23² will be calculated as:-

E = 23²

E = 23 x 23

E = 529

Therefore, the value of the 23² number will be equal to 529.

To know more about an expression follow

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what is 23 squared ? :

23^2 is 529.

A city currently has 31,000 residents and is adding new residents steadily at the rate of 1200 per year. If the proportion of residents that remain after t years is given by S(t) = 1/(t + 1), what is the population of the city 7 years from now?

Answers

Answer:

Population of the city after 7 years from now, P(7) = 6370

Given:

Initial Population, $P_(i) = 31000$

rate, r(t) = 1200 /yr

S(t) = [/tex]\frac{1}{1 + t}[/tex]

Step-by-step explanation:

Let the initial population be $P_(i) = 31000$

The population after T years is given by the equation:

$P(T) = P_(i)S(T) + \int_(0)^(T)S(T - t)r(t) dt$ (1)

Thus, the population after 7 years from now is given by using eqn (1):

$P(7) = (3100)/(1 + 7) + 1200\int_(0)^(7)(1)/(8 - t) dt$

$P(7) = 3875 - 1200ln(8 - t)|_(0)^(7)$

$P(7) = 3875 - 1200(ln(1) - ln(8))$

$P(7) = 3875 + 2495 = 6370$

Express the number as a ratio of integers. 3.469 = 3.469469469

Answers

If you're looking for a fractional representation of the non-terminating decimal,
3.469469469....
then:

Let x=3.469469469.....
then
1000x-x=(3469.469469469...) - (3.469469469....)
999x = 3466
x=3466 / 999
= 3+469/999
$=3(469)/(999)$

What is the standard deviation of 98.21

Answers

Answer: 0.61

Step-by-step explanation:

38.5 hope this helps :)))))

The population of a city (in millions) at time t (in years) is P(t)=2.6 e 0.005t , where t=0 is the year 2000. When will the population double from its size at t=0 ?