Solve the given differential equation.
- 36y = sin x + 6 cos x
A. y = c1e6x + c2e-6x - 
sin x - 
cos x
B. y = c1e6x + c2e-6x + - 
sin x + 
cos x
C. y = c1e6x + c2e-6x - 
cos x - 
sin x
D. y = c1e6x + c2e-6x - 
sin x - 
cos x
Answer: A
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Provide an appropriate response.Jessica wanted to solve the following problem: The price of an item increased by 15%. The amount of the increase was $86. What was the price of the item before the increase? She wrote the following equation: 15% × 86 = x. Will this equation will give her the correct answer? If not, what is the correct equation?
What will be an ideal response?
Solve the problem.30 marbles are to be divided into three bags so that the second bag has three times as many marbles as the first bag and the third bag has twice as many as the first bag. If x is the number of marbles in the first bag, find the number of marbles in each bag.
A. 1st bag = 6 marbles; 2nd bag = 14 marbles; 3rd bag = 10 marbles B. 1st bag = 6 marbles; 2nd bag = 18 marbles; 3rd bag = 12 marbles C. 1st bag = 5 marbles; 2nd bag = 10 marbles; 3rd bag = 15 marbles D. 1st bag = 5 marbles; 2nd bag = 15 marbles; 3rd bag = 10 marbles
Fill in the digits for the given place values in the following whole number.3426thousands tens
A. Thousands 3, tens 6 B. Thousands 4, tens 2 C. Thousands 4, tens 6 D. Thousands 3, tens 2
Find the grade point average for a student earning the following grades. Assume 
and 
Round answer to the nearest hundredth.
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A. 8.20
B. 2.41
C. 1.41
D. 3.15