3 years ago

The larger the number in standard notation, the ____________ the exponent on base 10.

Mathematics

2 answers:

PIT_PIT [208]3 years ago

7 0

Larger I think, sorry if that’s wrong.

fgiga [73]3 years ago

6 0

The larger the number in standard notation, the larger the exponent on base 10.

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

3 0

3 years ago

The amount that Susan charges per hour for babysitting is a directly proportional to the number of children she is watching. She

pychu [463]

Answer:

$7.50

Step-by-step explanation:

set it up as a proportion:

amount she charges/number of kids= x/number of kids

4.50/3=x/5

8 0

3 years ago