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Masja [62]
2 years ago
14

Find the prime factorization of 1,148 using a factor tree

Mathematics
1 answer:
Montano1993 [528]2 years ago
6 0

Answer:

Prime Factors of 1148 = 2, 2, 7, 41

Which is the same as = 2² x 7 x 41

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Which expression is equivalent to square root 55x^7y6/11x^11y^8
Novay_Z [31]

Answer:

\large\boxed{\sqrt{\dfrac{55x^7y^6}{11x^{11}y^8}}=\dfrac{\sqrt5}{x^2y}}

Step-by-step explanation:

\sqrt{\dfrac{55x^7y^6}{11x^{11}y^8}}=\sqrt{\dfrac{55}{11}\cdot\dfrac{x^7}{x^{11}}\cdot\dfrac{y^6}{y^8}}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\=\sqrt{5x^{7-11}y^{6-8}}=\sqrt{5x^{-4}y^{-2}}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\=\sqrt5\cdot\sqrt{x^{-4}}\cdot\sqrt{y^{-2}}=\sqrt5\cdot\sqrt{x^{(-2)(2)}}\cdot\sqrt{y^{(-1)(2)}}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=\sqrt5\cdot\sqrt{(x^{-2})^2}\cdot\sqrt{(y^{-1})^2}\qquad\text{use}\ \sqrt{a^2}=a

=\sqrt5\cdot x^{-2}\cdot y^{-1}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\to a^{-1}=\dfrac{1}{a}\\\\=\sqrt5\cdot\dfrac{1}{x^2}\cdot\dfrac{1}{y}=\dfrac{\sqrt5}{x^2y}

6 0
3 years ago
7300 dollars is placed in an account with an annual interest rate of 7.75%. To the nearest tenth of a year, how long will it tak
ryzh [129]
It will take 55 years for the account value to reach 38200 dollars.
4 0
3 years ago
What is 0.003 is 1/10of
boyakko [2]
0.003 is 1/10 of 0.03.
Just multiply the 0.003 by 10 and you'll get the answer.
6 0
3 years ago
Read 2 more answers
Aria had $20 in her savings account. She went through $10. What is the balance of your savings account now?
Elena L [17]
Subtract 20 and 10. To get your answer
3 0
3 years ago
Please help me i rlly need help
Mumz [18]

Answer:

3

Step-by-step explanation:

Given a line with points; (2, 5) (3, 8).

1. Find the slope of the given line

The formula for finding the slope is:

\frac{y_{2}-y_{1} }{x_{2} - x_{1}}

Substitute in the values;

x_{1} = 2\\y_{1} = 5\\x_{2} = 3\\y_{2} = 8

\frac{8-5}{3-2}

simplify;

\frac{3}{1}

= 3

2. Find the slope of the parallel line;

Remember, when two lines are parallel, they run alongside each other, of infinitely long, but they never touch. Hence two parallel lines have the same slope. Therefore, the slope of a line that is parallel to the given one will also have the same slope as the given one, which is 3.

5 0
3 years ago
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