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Yuki888 [10]
3 years ago
12

17/12 + 7/12 simplify and write the answer as a whole number.

Mathematics
1 answer:
Alex787 [66]3 years ago
4 0
<span>17/12 + 7/12 simplify and write the answer as a whole number.</span>
17/12+7/12 = 2
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Which of the following functions are solutions of the differential equation y'' + y = 3 sin x? (select all that apply)
DiKsa [7]

Answer:

C

Step-by-step explanation:

We must compute the derivatives and check if the equation is satisfied.

A. y'=(3\sin x)'=3\cos x. Differentiate again to get y''=(3\cos x)'=-3\sin x, then y''+y=-3\sin x+3\sin x=0\neq 3\sin x so this choice of y doesn't solve the equation.

B. y'=3\sin x+3x\cos x-5\cosx +5x\sin x=(5x+3)\sin x+(3x-5)\cos x and y''=5\sin x+(5x+3)\cos x+3\cos x-(3x-5)\sin x=(10-3x)\sin x+(5x+6)\cos x, then y''+y=10\sin x+6\cos x\neq 3\sin x so y is not a solution

C. y'=\frac{-3}{2}\cos x+\frac{3}{2}x\sin x hence y''=\frac{3}{2}\sin x+\frac{3}{2}\sin x+\frac{3}{2}x\cos x=3\sin x+\frac{3}{2}x\cos x. Then y''+y=3\sin x+\frac{3}{2}x\cos x-\frac{3}{2}x\cos x=3\sin x so y is a solution.

D.y'=-3\sin x and y''=-3\cos x, then y''+y=0 thus y isn't a solution

E. y'=\frac{3}{2}\sin x+\frac{3}{2}x\cos x hence y''=\frac{3}{2}\cos x+\frac{3}{2}\cos x-\frac{3}{2}x\sin x=3\cos x-\frac{3}{2}x\cos x. Then y''+y=3\cos x-\frac{3}{2}x\cos x-\frac{3}{2}x\cos x=3\cos x\neq 3\sin x then y is not a solution.

3 0
3 years ago
Find the commission.
juin [17]

Answer:

63.9

Step-by-step explanation:

Convert 9% to a decimal: 0.09

710×.09=63.9

Please give me brainliest

3 0
3 years ago
PLEASE HELP I NEED THE ANSWER ASAP
Andreas93 [3]

Answer:

x>3, the last option with the open circle

Step-by-step explanation:

7 0
3 years ago
Look at each situation. Is it represented by the equation -3 + 3 = 0? Determine yes or no for each. If NO, explain why not.**
lakkis [162]

Answer:

D.Jason pays $3 on the $3 he owes in fines Yes or No?

Step-by-step explanation:

6 0
2 years ago
A triangular playground has angles with measures in ratio 8: 3: 9 what is the measure of the smallest angle
maria [59]
8x + 3× + 9x = 180

20x = 180
x = 180/20
x = 9

The smallest angle is: 3×9 = 27 degrees

Note: 180 degrees is the sum of angles in a triangle
7 0
3 years ago
Read 2 more answers
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