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sladkih [1.3K]
2 years ago
12

The rate (gallons per day) at which a pond loses water due to evaporation from one day after observation has started is give by

w(t)=1/T2 (squared).
where t is the number of days after the first day. suppose we want to find out what the trend is for the total change in gallons in the pond. (Fill in the following table)
t is the number of days after the first day, and w is the number of gallons.

T: 1 2 10 50 100 200 500 1000
w(t): ? ? ? ? ? ? ? ?

​
Mathematics
1 answer:
Andreyy892 years ago
4 0

Answer:  see table below

<u>Step-by-step explanation:</u>

\left\begin{array}{c|l}T&\qquad w(t)\\1&\dfrac{1}{1^2}=1\implies 1.00\\\\2&\dfrac{1}{2^2}=\dfrac{1}{4}\implies 0.25\\\\10&\dfrac{1}{10^2}=\dfrac{1}{100}\implies 0.01\\\\50&\dfrac{1}{50^2}=\dfrac{1}{2500}\implies 0.0004\\\\100&\dfrac{1}{100^2}=\dfrac{1}{10000}\implies 0.0001\\\\200&\dfrac{1}{200^2}=\dfrac{1}{40000}\implies 0.000025\\\\500&\dfrac{1}{500^2}=\dfrac{1}{250000}\implies 0.000004\\\\1000&\dfrac{1}{1000^2}=\dfrac{1}{100000}\implies 0.000001\\\end{array}\right

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Lelechka [254]

Answer:

2 7/12

Step-by-step explanation:

−512−−93=?

Since the the second fraction is negative and you are subtracting, remove the negative sign and switch the operation to addition.

The equivalent equation is

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The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

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Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

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The fraction

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