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3 years ago

Which expression represents the calculation “add 5 and 6, then multiply by 3"?

Mathematics

2 answers:

valina [46]3 years ago

8 0

(5+6)*6 Following the rules of PEMDAS you would have to put 5+6 in parentheses so multiplication wouldn't be first.

Anarel [89]3 years ago

5 0

(5 + 6)3 would represent what you want.

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Find the distance between the numbers 6.7 and 9.2 on the number line

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3 years ago

7) 28 is 35% of what number?

Brums [2.3K]

Answer:

Step-by-step explanation:

28×100÷35=80

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Mandarinka [93]

Answers:

Step-by-step explanation:

To find out which is greater, we must eliminate the radical symbol.

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3 years ago

How do you simplify 33xy/3x?

Llana [10]

Answer:

11y

Step-by-step explanation:

33xy/3x

33/3=11

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5 0

3 years ago

Read 2 more answers

Which of the following functions are solutions of the differential equation y'' + y = 3 sin x? (select all that apply)

DiKsa [7]

Answer:

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