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3 years ago

How is finding the factors of a number different from finding the prime factorization of a number?

1 answer:

6 0

Factors are any numbers (prime or composite) that go into a given number. Prime factorization is finding all the prime numbers that go into the number and how many times each prime number goes into it. For example, factors of 16 are: 1, 2, 4, 8, 16. The prime factorization of 16 is: 2*2*2*2.
Another example:
Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42
Prime factorization of 42: 2*3*7

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Country A has a growth rate of 4.9% per year. The population is currently 4 comma 151,000, and the land area of Country A is 1

kvv77 [185]

Answer:

There will be one person on 1 square yard of land after 1,892,147.588 years.

Step-by-step explanation:

Continuous exponential growth formula:

$P(t)=Pe^{rt}$

P(t)= Population after t years.

P= Initial population

r=rate of growth.

t= time in year

Given that,

Growth rate of country A (r)= 4.9% per year=0.049 per year.

Initial population (P)= 151,000.

Land area of country area= 14,000,000,000 square yards.

There will be one person on one square yard of land.

So, there will be 14,000,000,000 person for 14,000,000,000 square yard of land in country A.

P(t)=14,000,000,000 person

$\therefore 14,000,000,000= 151,000 e^{0.049t}$

$\Rightarrow e^{0.049t}=\frac{ 14,000,000,000}{ 151,000}$

Taking ln both sides

$\Rightarrow ln|e^{0.049t}|=ln|\frac{ 14,000,000,000}{ 151,000}|$

$\Rightarrow {0.049t}=ln|\frac{ 14,000,000,000}{ 151,000}|$

$\Rightarrow t}=\frac{ln|\frac{ 14,000,000,000}{ 151,000}|}{0.049}$

$\Rightarrow t}=1,892,147.588$ years

There will be one person for every square yard of land after 1,892,147.588 years.

7 0

3 years ago

Which expression is equivalent to 5 (2 + 7)?

SOVA2 [1]

The answer wold be 5(2)+5(7)

6 0

3 years ago

Read 2 more answers

Write the standard equation of the circle below.

s344n2d4d5 [400]

Answer:

The first answer is correct.

(x + 1)^2 + (y - 2)^2 = 1

A circle with the midpoint M(Mx, My) and the radius r can be written as

(x - Mx)^2 + (y - My)^2 = r^2

7 0

3 years ago

What has no congruent sides and no congruent angles?

Mademuasel [1]

Hey there!

The correct answer to your question is a circle.

A circle doesn't have any congruent sides or congruent angles, meaning they don't have sides or angles that point in the same direction.

Hope this helps you.
Have a great day!

3 0

3 years ago

Read 2 more answers

A pack of 8 batteries cost 4.72!What is cost per battery?

Mrrafil [7]

4.72 x 1 = 4.72
8 x X =8x
We need to let the X alone so
4.72 divided 8 = 0.59
1 battery = 0.59

8 0

2 years ago