3 years ago

Which property can be used to solve the equation?

Mathematics

1 answer:

sdas [7]3 years ago

8 0

Answer:

Step-by-step explanation:

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Given logbM=3.2 logbN=-1.5 and logbP=2.4 find the value of logb(m^2N/p)

artcher [175]

The formulas:
$\log_a (xy)=\log_a x + \log_a y \\
\log_a (\frac{x}{y})=\log_a x - \log_a y \\
\log_a (x^n)n \log_a x$

Expand the expression:
$\log_b (\frac{m^2n}{p})=\log_b m^2 + \log_b n - \log_b p= 2 \log_b m+\log_b n - \log_b p$

Plug the values into the expression:
$\log_b m=3.2 \\ \log_b n=-1.5 \\ \log_b p=2.4 \\ \\
2 \log_b m+\log_b n - \log_b p=2 \times 3.2-1.5-2.4=6.4-3.9=2.5 \\ \\
\boxed{\log_b (\frac{m^2n}{p})=2.5}$

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3 years ago

Quiz due today! Please help me. No links! 10 points

alina1380 [7]

Answer:

A and A

Step-by-step explanation:

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4 years ago

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Sarah baby-sits her cousins once a week. She gets paid $10 per hour and she includes a travel fee. if she baby-sat for 5 hours a

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3 years ago

Polygamy and its effect

NARA [144]

Answer:

The expectation of a polygamous marriage is a high number of children. In this case, women in polygamous marriages experience limited resources and financial support as compared to women in monogamous marriages. Wife inheritance also creates problems both for the children and the wife.

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3 years ago

The stopping distance d of an automobile is directly proportional to the square of its speed s.

IRINA_888 [86]

Answer:

192 feet is the stopping distance at 48 mph.

Step-by-step explanation:

Set up the proportion $\frac{x}{75} =\frac{48^{2} }{30^{2} }$

x/75 = 2304/900 cross multiply to get 900x = 172800

172800 ÷ 900 = 192

x = 192

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4 years ago