z = 3m - 2n
Step-by-step explanation:
1000^m ÷ 100^n
Rewrite them in exponent form
That's
10^3m ÷ 10^2n
Since the bases are the same and they are dividing we subtract the exponents
That's
10^3m - 2n
Comparing it with 10^z
10^3m - 2n = 10^z
z = 3m - 2n
Hope this helps you
Answer:
15 pounds
Step-by-step explanation:
there are 16 ounces in one pound
so...
first find the limit in ounces

because there are 16 ounces in every one pound you need to multiply 22 by 16
which is 352
now subtract what you already used

which is 240
now convert to pounds

which is 15
so 15 more pounds

Solution:
Given expression is 
To find the inverse of y.
⇒ 
Do cross multiplication.
⇒ y = –6 × 3
⇒ y = –18
Inverse of y means reverse the function.
We know that inverse of y is
.
⇒ 
Hence, inverse of y is 
Annie's total earnings from her initial savings, $12, and from babysitting should be equal or more than 30. Annie's total earnings from babysitting may be expressed as $6n. The inequality should be,
12 + 6n <span>≥ 30
Solving for x,
6n </span><span>≥ 30 - 12
</span><span>
6n </span>≥ 18 ; n <span>≥ 3
</span><span>
Thus, the answer is the second among the choices.
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Answer:

Step-by-step explanation:
The magnitude of a vector
is
, which essentially describes the length of the vector itself between the initial and terminal points:
