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PIT_PIT [208]
3 years ago
6

Which of the following represents the prime factorization of 72?

Mathematics
2 answers:
Free_Kalibri [48]3 years ago
7 0

Answer:

2^3.3^2

Step-by-step explanation:

{2}^{3 ?}  = 8 \\  {?3}^{2?}  = 9 \\ 8 \times 9 = 72

Rasek [7]3 years ago
7 0

Answer:

2.2.2.3.3.

72 / 2 = 36

36/2 = 18

18/2 = 9

9/ 3= 3.

So the answer to your question is 2.2.2.3.3.

Hope this helps!

Have a great day and stay safe! :))))))

You might be interested in
Let c = 10.Which expression makes the comparison true.
den301095 [7]

Answer:

c² - 63

Step-by-step explanation:

4c - 10 = 30

3c ÷ 3 = 10

c² - 63 = 37

c² ÷ 10 = 10

Since c² - 63 = 37 and c + 25 = 35, 37 is greater than 35 so it would make sense to choose c² - 63 as the answer.

c + 25 < 37

I hope this helps you :D

3 0
3 years ago
Working together, it takes Sam, Jenna, and Francisco two hours to paint one room. When Sam works alone, he can paint one room in
lutik1710 [3]

Answer:  12 hours

Step-by-step explanation:

Given : Working together, it takes Sam, Jenna, and Francisco two hours to paint one room.

When Sam works alone, he can paint one room in 6 hours. When Jenna works alone, she can paint one room in 4 hours.

Let 't' be the time taken by Francisco to paint one room on his own.

Then , we have

Rate of work of  Sam +Rate of work of Jenna + Rate of work of  Francisco =Rate of work they all do together

\dfrac{1}{6}+\dfrac{1}{4}+\dfrac{1}{t}=\dfrac{1}{2}

i.e.  \dfrac{1}{t}=\dfrac{1}{2}-(\dfrac{1}{6}+\dfrac{1}{4})

i.e.  \dfrac{1}{t}=\dfrac{1}{2}-(\dfrac{4+6}{24})

i.e.  \dfrac{1}{t}=\dfrac{1}{2}-\dfrac{10}{24}

i.e.  \dfrac{1}{t}=\dfrac{1}{2}-\dfrac{5}{12}

i.e.  \dfrac{1}{t}=\dfrac{6-5}{12}

i.e.  \dfrac{1}{t}=\dfrac{1}{12}

i.e. t= 12

Hence,  Francisco would take 12 hours to  paint one room on his own.

8 0
3 years ago
A over b is in parentheses with the exponent -4 on the outside then there's another set of parentheses and on the outside of tho
JulijaS [17]

Answer:

1

Step-by-step explanation:

(((a/b)^(-4))^0)=

((b/a)^4)^0)=

((b^4)/(a^4))^0=

1

(ANYTHING to the power of 0 is equal to 1)

7 0
3 years ago
A model of a famous statue is 2 1/2 inches tall. The actual statue is 3 1/3 feet tall. What is the ratio of the height of the mo
Gekata [30.6K]

1. A model of a famous statue is 2\dfrac{1}{2} inches tall that is

\dfrac{2\cdot 2+1}{2}=\dfrac{5}{2} in.

2. The actual statue is 3\dfrac{1}{3} feet tall that is

\dfrac{3\cdot 3+1}{3}=\dfrac{10}{3}\ ft=\dfrac{10}{3}\cdot 12=40\ in.

3. The ratio of the height of the model to the height of the actual statue in simplest form is

\dfrac{\dfrac{5}{2}}{40}=\dfrac{5}{2}\cdot \dfrac{1}{40}=\dfrac{1}{16}.

Answer: \dfrac{1}{16}.

4 0
3 years ago
Calculate the size of angle ABC.
Zina [86]

Answer:

98

Step-by-step explanation:

Add them all up. 60+20= 80+18 = 98.

4 0
3 years ago
Read 2 more answers
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