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3 years ago

The ratio of y-value to x-value is 3 to 4 for each point what will be the x-value of a point with a y-value of 12

Mathematics

1 answer:

evablogger [386]3 years ago

7 0

Answer:

x=9

Step-by-step explanation:

given;

x\y = 3\4

to find;

x\12=?

solution;

using both equations,

3\4=x\12

by cross multiplication,

36\4=x

9=x

x=9

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2 years ago

A spring with a spring constant k of 100 pounds per foot is loaded with 1-pound weight and brought to equilibrium. It is then st

shutvik [7]

Answer:

Equation of movement y(t)

$y(t)=sin(10t-\pi/2)$

Amplitude: 1 inch

Period: 0.628 seconds

Step-by-step explanation:

If there is no friction, the amplitude will be the length it was streched from the equilibrium. In this case, this value is 1 inch

$A=1\,inch$

The period depends on the mass and the spring constant.

The formula for the period is:

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The model y(t) for the movement of the mass-spring system is

$y(t)=A\cdot sin(\omega t +\phi)\\\\A=1\\\\\omega=\sqrt{k/m} =\sqrt{100/1}=10\\\\y(0)=Asin(\phi)=-A\\\\ \phi=arcsin(-1)=-1.571=-\pi/2\\\\\\y(t)=sin(10t-\pi/2)$

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3 years ago

Please help me 50 points.

kolezko [41]

First we have to convert 60 feet to inches. since there are 12 inches in a foot we will multiply by 12
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Read 2 more answers

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katen-ka-za [31]

Answer:

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2 years ago

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