<h3>
Answer: H. 33</h3>
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Work Shown:
Solve 5m^2 = 45 for m to get
5m^2 = 45
m^2 = 45/5
m^2 = 9
m = sqrt(9)
m = 3
I'm making m to be positive so that way the expression 12m is not negative. Otherwise, sqrt(12m) would not be a real number result.
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Plug m = 3 into the expression we want to evaluate
m^3 + sqrt(12m)
3^3 + sqrt(12*3)
27 + sqrt(36)
27 + 6
33
We presume the temperature is decreasing at midnight, so reaches a low at 6 a.m.. The amplitude of the variation is (87-63)/2 = 12 degrees. We want the period to be 24 hours, so the argument of the sine function will be 2π(t/24) = πt/12. Then we can write
... d = 75-12sin(π·t/12)
Answer:
<h2><em><u>-9</u></em></h2>
Step-by-step explanation:

<em><u>By</u></em><em><u> </u></em><em><u>putting</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>values</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>a</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>-4</u></em><em><u> </u></em><em><u>,</u></em><em><u> </u></em><em><u>b</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>9</u></em><em><u>,</u></em>



= -(9)
= <em><u>-9 (Ans)</u></em>
Answer: 91.71%
Step-by-step explanation:
146 is 91.708542713568% of 159.2.
Steps:
146 ÷ 159.2 = 0.91708542713568 = 91.708542713568%
Simply
91.71
Hope this helps!!! Good luck!!! ;)
Recall the Laplace transform of a second-order derivative,

and the transform of cosine,

Here, both
, so taking the transform of both sides of

gives

