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Oduvanchick [21]
3 years ago
14

Which expression is equivalent? -4(2x-3)

Mathematics
1 answer:
mixas84 [53]3 years ago
3 0
-8x+12 because you distribute the -4
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C) 3 gallons per hour
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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


4 0
3 years ago
It cost 17 and $.70 send 170 in text messages how many text messages did you send if you spent $19.10?
ZanzabumX [31]

Answer:

184

Step-by-step explanation:

17.70 / 170 = .104 per text

19.10 / .104 = 183.65 round up to 184

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Mary Beth and her family ate a meal in a restaurant the cost of the meal was $34.50 the sales tax was 8% of the cost of the meal
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The total cost would be the tax plus the cost of the meal. In order to find the tax you can set up a proportion: 8/100=x/34.5. Then you can cross multiply: (100•x)=(8•34.5). Then we have 100x=276. Divide both sides by 100 and we have x=2.76. This added to the 34.50 is equal to 37.26. Hope this helps!
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3 years ago
Hector can paint (128
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Answer:

16

Step-by-step explanation:

128/8= 16

8 0
3 years ago
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