Find the difference. 89 – 52.05 A. 36.95 B. 35.95 C. 37.95 D. 37.05
2 answers:
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Answer:
From least to greatest it is -5/2, -2, then 1.7
Step-by-step explanation:
First by process of elimination, 1.7 is the only positive number, so it is the greatest number compared to the other two.
Now we are left with -2 and -5/2.
We can rewrite -2 as , as any number by itself itself is the number over 1.
Then we need to find the common denominator for both fractions, meaning they must share the same bottom number.
The 1 in the denominator can be multiplied by 2 to get a denominator of 2 , the same as the denominator for .
Since the denominator is multiplied by 2, the numerator also has to be multiplied by 2:
Now since both fractions share the same denominator, we can compare them by their numerators. 5 is greater than 4, but we must keep in mind that these are negative. The larger the negative number, the smaller the value.
So when comparing -4/2 and -5/2, -5/2 is smaller.
So our final answer from least to greatest is -5/2, -2, then 1.7
Height of the water increasing is at rate of
With related rates, we need a function to relate the 2 variables, in this case it is clearly volume and height. The formula is:
There is radius in the formula, but in this problem, radius is constant so it is not a variable. We can substitute the value in:
Since the rate in this problem is time related, we need to implicitly differentiate wrt (with respect to) time:
In the problem, we are given
So we need to substitute this in:
Hence, Height of the water increasing is at rate of
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