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-Dominant- [34]

3 years ago

5

Jacques and Aaron both started this year at 5.65 feet tall. Jacques has grown 0.2 feet since then. Aaron has grown twice that am

ount. How tall is Aaron?

1 answer:

OLga [1]3 years ago

7 0

It is 5.69 positively sure of it good luck on youre quiz if youre taking one!

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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

Hey guys,<br><br> Do you guys know the answer to this TTM problem?<br><br> Thank You!

tensa zangetsu [6.8K]

I think it is 2.5,2.5

4 0

3 years ago

This equation shows how the time required to ring up a customer is related to the number of items being purchased. t = 4p + 20 T

konstantin123 [22]

Answer:

6 items are being purchased

Step-by-step explanation:

Given that variable p represents the number of items being purchased, and the variable t represents the time required to ring up the customer, If it takes 44 seconds to ring up a customer then the number of items being purchased may be computed by substituting the value of t into the given equation

t = 4p + 20.

Using t = 44

44 = 4p + 20

collect like terms or subtract 20 from both sides

44 - 20 = 4p

24 = 4p

Divide both sides by 4

24/4 = p

p = 6

4 0

3 years ago

Please help me with this question<br><br> Calculate.<br><br> 7.75% of $9,000 = ___ $

andrezito [222]

The answer would be $697.5

Hope this helps!

3 0

3 years ago

Hi i need help please:))

marin [14]

Answer:

i got 96

Step-by-step explanation:

you have to find the unit rate for 1 driveway and times that by 12

32 divided by 4 is 8

8 x 12 is 96

hope this helps :)

4 0

2 years ago