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Mekhanik [1.2K]
3 years ago
14

Read each problem. Write your answer.

Mathematics
1 answer:
k0ka [10]3 years ago
6 0

Answer:

p = -8.4

Step-by-step explanation:

6(p + 0.4) = 5(p - 1.2) \\ distribute \\ 6p + 2.4 = 5p - 6  \\ 6p - 5p =  - 6 - 2.4 \\ p =  - 8.4

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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:

T=\frac{1}{f} =\frac{2/pi}{\omega} =2\pi\sqrt{\frac{m}{k}}=2\pi\sqrt{\frac{1}{100}}=2\pi*0.1=0.628\, s

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)

8 0
3 years ago
Solve for x.<br> -x/3=2<br><br> x= -6<br> x= -1<br> x = 6
LenKa [72]

Answer:

x = -6

Step-by-step explanation:

Solve for x:

-x/3 = 2

Multiply both sides of -x/3 = 2 by -3:

(-3 (-x))/3 = -3×2

-3×(-1)/3 = (-3 (-1))/3:

(-3 (-1))/3 x = -3×2

(-3)/3 = (3 (-1))/3 = -1:

--1 x = -3×2

(-1)^2 = 1:

x = -3×2

-3×2 = -6:

Answer:  x = -6

6 0
3 years ago
Consider the following system of equations
Vera_Pavlovna [14]
Hsisvskevwovewhsjsbaoaa
3 0
2 years ago
Brainliest if Correct!! Help QUICK....
Sloan [31]

Replace x with the x value solve to get the y value.


see attached picture for answers.

6 0
2 years ago
I’m going to be posting a lot of math questions so look at my account if you wanna answer the rest
IRINA_888 [86]

Answer:

3.Area=πr²

d=14ft

r=7 ft

22/7*7*7

area=154ft²

5.area =1/2 bh

h=13cm

area=32.5cm²

32.5=1/2*13*b

32.5=13/2b

=5.0 or 5

base=5cm

Step-by-step explanation:

4 0
2 years ago
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