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3 years ago

Solve the system of linear equations by graphing. y=x+2 y=-1/2x+2

Mathematics

1 answer:

monitta3 years ago

4 0

Answer:

(0;2)

Step-by-step explanation:

substitute the value of y in the equation, then solve in x

x+2=-1/2x+2

x=0

substitute the value of x in the equation.

y=2

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The local bakery uses 1.75 cups of flour in each batch of cookies. The bakery used 5.25 cups of flour this morning. If there are

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Answer: 180 cookies

Step-by-step explanation: If 1.75 cups of flour is required to make a batch and the bakery used 5.25, the bakery made 3 batches, since 1.75(3) is 5.25. One dozen is 12 cookies, and there are 5 dozen cookies in each batch. If there are 3 batches, then there are 15 dozens of cookies. 15(12) is 180.

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3 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:

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

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

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

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Write an expression, using an exponent that is equivalent to 6 x 6 x 6 x 6 x 6.

valentinak56 [21]

Answer:

6^5

Step-by-step explanation:

put the 5 and make it tiny on top of the 6

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