Which is the value of the expression ((10^4)(5^2)/(10^3)(5^3))^3
1 answer:
Answer:
8
Step-by-step explanation:
Let's set this up to see if we can simplify it a bit:
Notice we have 4 tens on top and 3 on bottom, so we can eliminate the bottom 3 altogether and leave just one on top. And we have 2 fives on the top and 3 on bottom, so we can eliminate the 2 on the top and leave one on the bottom. Now that looks like this:
10 divided by 5 is 2, and 2 cubed is 8
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The relationship between the percentage of frozen citrus crop, and the cost of box of oranges is an illustration of a linear function.
- <em>The linear equation of the function is: </em>
<em>.</em>
- <em>The inverse function is: </em>
<em> .</em>
- <em>A practical domain is from 0% to 100%</em>
- <em>A practical range is from 7 to 29.9 </em>
<u>A. Input quantity</u>
The input quantity is the percentage of frozen citrus crop
<u />
<u>B. Output quantity </u>
The output quantity is the cost of box of oranges
<u>C. The linear function</u>
We have:
<em>Calculate the slope of the function</em>
<em>The linear equation is calculated as follows:</em>
<u>D. Rewrite as y = mx + b</u>
We have:
Collect like terms
<em>The function is:</em>
<u>E. A practical domain</u>
The domain is the possible values of P. Because P is a percentage, its possible values are 0% to 100%.
The domain of the function is:
<u>F. A practical range</u>
When P = 0%
When P = 100%
Hence, the range of the function is:
G. The meaning of
The inverse function of g(P) is
So:
is the percentage of frozen citrus crop, when the cost is $12.
<u>H. The inverse formula</u>
We have:
Subtract 7 from both sides
Make P the subject
So, the inverse formula is:
Substitute 12 for c
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According to the table, the highest mountain in Africa is Mt. Kilimanjaro with 19,340 feet in height. The highest mountain in Antarctica is Vinson Massif with 16,864 feet in height.
Then, we subtract