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3 years ago

6

Translate the following word phrase into nine times the difference of 5 and y

1 answer:

emmasim [6.3K]3 years ago

4 0

Answer: 9 * (5 - y)

Explanation:

Times: multiplication

Difference: subtraction

y: the unknown variable

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The ratio of men to women in a room is 3:4. Eight women enter the room, no men enter the room and none of the original people in

vampirchik [111]

There are 64 people in the room.

Since the ratio for women increases 1 when 8 women enter the room, for every time there is 1 in the ratio there are 8 people. That means that originally you have to do 3x8 and 4x8. You get 24 and 32 which equals 56. Then when 8 more women enter the room, you get 64.

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2 years ago

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docker41 [41]

Answer:

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Step-by-step explanation:

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2 years ago

A guitar string is plucked at a distance of 0.6 centimeters above its resting position and then released, causing vibration. The

liubo4ka [24]

Answer:

The equation that represents the motion of the string is given by:

$y =Ae^{-kt}\cos(2\pi ft)$ .....[1] where t represents the time in second.

Given that: A = 0.6 cm (distance above its resting position) , k = 1.8(damping constant) and frequency(f) = 105 cycles per second.

Substitute the given values in [1] we get;

$y =0.6e^{-1.8t}\cos(2\pi 105t)$

or

$y =0.6e^{-1.8t}\cos(210\pi t)$

(a)

The trigonometric function that models the motion of the string is given by:

$y =0.6e^{-1.8t}\cos(210\pi t)$

(b)

Determine the amount of time t that it takes the string to be damped so that $-0.24\leq y \leq0.24$

Using graphing calculator for the equation

$y =0.6e^{-1.8x}\cos(210\pi x)$

let x = t (time in sec)

Graph as shown below in the attachment:

we get:

the amount of time t that it takes the string to be damped so that $-0.24\leq y \leq0.24$ is, 0.5 sec

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3 years ago

Chris can be paid in one of two ways. Plan A is a salary of $490 per month, plus a commission of 9% of sales. Plan B is a sal

skad [1K]

Answer:

$390+0.07s=$544+0.05s Subtract $390 from each side.

0.07s=$154+0.05s Subtract 0.05s from each side.

0.02s=$154 Divide each side by 0.02.

s=$7700 Both plans pay the same when sales=$7700

ANSWER With sales greater than $7700, Chris is better off with Plan A.

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2 years ago

What is the height to 315 f the length is 7 and the width 4

Pachacha [2.7K]

the height is 11.25 because 7×4=28×11.25=315

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2 years ago

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