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adell [148]
3 years ago
9

Which list contains three points that lie on the graph of the function?

Mathematics
1 answer:
Vsevolod [243]3 years ago
7 0
B, I believe. But go with your gut instinct
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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
Julio believes that the quotient of 6 ÷ 1/2 = 3
Hitman42 [59]

Answer:

Julio did 6/2. The correct answer is 12.

Step-by-step explanation:

6/1/2=6*2=12. Julio forgot to change the division into multiplication. Dividing is multiplying by it's reciprocal.

5 0
3 years ago
Read 2 more answers
What is the surface area 1ft 1ft 1ft?
Elodia [21]

Answer:

6 ft^2

Step-by-step explanation:

If the object in question is a cube, then we could say the length is 1, the depth is 1 and the height is 1, in which case each side of the cube has an area of 1 ft^2.  

There are 6 such sides, so the total surface area is 6 ft^2.

Next time please be explicit in naming the shape, either verbally or with a diagram.

4 0
3 years ago
A number b increased by 3 is greater than or equal to -26
photoshop1234 [79]

A number b increased by 3 is greater than or equal to -26:

b+3\geq-26\qquad\text{subtract 3 from both sides}\\\\\boxed{b\geq-29}

5 0
3 years ago
If you cycled for 3 hours and travelled 54 km calculate your average speed​
goldenfox [79]

Answer:

162 km per hour

Step-by-step explanation:

Hi!

Speed=Distance x Time

So... 3 x 54 = 162

Hope this helps :)

3 0
3 years ago
Read 2 more answers
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