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brilliants [131]

3 years ago

7

Determine the prime factorization of 60. A. 22 • 11 B. 2 • 32 • 5 C. 23 • 11 D. 22 • 3 • 5

1 answer:

tankabanditka [31]3 years ago

8 0

Prime factorization is finding the factors that are prime
exg
6=2 times 3 =prime factorization
60=6 times 10=2 times 3 times 5 rimwa 2=2 times 2 times 3 times 5

the prime factorization of 60=2 times 2times 3 times 5the answer is D which is supposed to be 2*2*3*5

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TEA [102]

I did that equation on the side and I got 442, I hope this helps

4 0

2 years ago

1. The number of rabbits on an island is increasing exponentially.

Zina [86]

Answer:

<em>There are approximately 114 rabbits in the year 10</em>

Step-by-step explanation:

<u>Exponential Growth </u>

The natural growth of some magnitudes can be modeled by the equation:

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

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

We are given two measurements of the population of rabbits on an island.

In year 1, there are 50 rabbits. This is the point (1,50)

In year 5, there are 72 rabbits. This is the point (5,72)

Substituting in the general model, we have:

$50=P_o(1+r)^1$

$50=P_o(1+r)\qquad\qquad[1]$

$72=P_o(1+r)^5\qquad\qquad[2]$

Dividing [2] by [1]:

$\displaystyle \frac{72}{50}=(1+r)^{5-1}=(1+r)^{4}$

Solving for r:

$\displaystyle r=\sqrt[4]{\frac{72}{50}}-1$

Calculating:

r=0.095445

From [1], solve for Po:

$\displaystyle P_o=\frac{72}{(1+r)^5}$

$\displaystyle P_o=\frac{72}{(1.095445)^5}$

$P_o=45.64355$

The model can be written now as:

$P=45.64355(1.095445)^t$

In year t=10, the population of rabbits is:

$P=45.64355(1.095445)^{10}$

P = 113.6

$P\approx 114$

There are approximately 114 rabbits in the year 10

5 0

2 years ago

5(x-6)+2=7x-10 using the distributive property

Lady_Fox [76]

x equals negative 9 i think

4 0

3 years ago

Read 2 more answers

Is 0.14 equivalent to a. 8/12, b. 5/8, c. 2/3, d. 7/50, e. 4/5, f. 5/3, g. 19/25, h. 1/3, i. 2/9, j. 1/33, k. 4/9

aivan3 [116]

Answer:

7/50

Step-by-step explanation:

7 divided by 50 equals 0.14 in decimal format.

8 0

2 years ago

Which expression is equivalent to mn²/mn+m²n² ? a.) 1/n+m b.) n/1+m²n² c.) n/1+mn d.) 1/m²n

ozzi

<u>Given</u>:

The given expression is $\frac{m n^{2}}{m n+m^{2} n^{2}}$

We need to determine the equivalent expression.

<u>Equivalent expression:</u>

The equivalent expression can be determined by simplifying the given expression.

Thus, let us factor out the common term "mn" from the denominator.

Thus, we have;

$\frac{m n^{2}}{n m(1+m n)}$

Cancelling the common terms, we get;

$\frac{n}{1+m n}$

Thus, the equivalent expression is $\frac{n}{1+m n}$

Hence, Option c is the correct answer.

6 0

2 years ago