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Tamiku [17]
3 years ago
9

Given x = 5, y = -6, z = -2, evaluate z - yx

Mathematics
1 answer:
Andreyy893 years ago
8 0

Answer: 28

Step-by-step explanation: Plugging them in, it would be -2 - (-6)(5).

- 2 - (-30)

-2 + 30

28

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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
Which expression is equivalent to 81-16x^2
iris [78.8K]
Is should be (9-4x)•(9+4x)
4 0
3 years ago
suppose you have a job teaching swimming lessons and get paid $9 an hour. you also have a job as a cashier and get paid $7/hr. I
Maslowich

Answer:

B

Step-by-step explanation:

In A, it says that 9s +7c can be lower or equal to 160. This is wrong.

In C, it says that 9s +7c can only be higher than 160, when the question says at least, which means it can also be equal to 160, making it wrong.

In D, it says that 9s +7c can be lower or equal to 20. This is wrong.

Through elimination, only B can be right.

5 0
3 years ago
Situation #3: Jamie can type 243 words in 3 minutes. How many words can<br> she type in 10 minutes?
Ratling [72]

Answer:

810 words

Step-by-step explanation:

243 words per 3 minutes

243/3 to get 81 words per minute

81 times 10 = 810

3 0
3 years ago
Read 2 more answers
I sold 32 posters for a total of 126. And I sold 48 posters for a total of 240. If the relationship between the number of poster
Oksanka [162]

Answer:

The cost per print expressed as a slope is 7.125

Step-by-step explanation:

To calculate the cost per print, let’s envision that we have a graphical representation of cost of posters against the number of posters

We have the cost on the y-axis and the number of posters on the x axis

With the information given in the question, we shall be having two data points

Point 1 = (32,126)

point 2 = (48,240)

Now to find the slope of the line which is cost per print, we make use of both points in the slope equation.

Mathematically, slope m will be

m = y2-y1/x2-x1

Thus, we have;

m = (240-126)/(48-32)

m = 114/16

m = 7.125

The cost per print expressed as a slope is 7.125

7 0
3 years ago
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