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3 years ago

A mass attached to a spring is pulled towards the floor then let go. Its height is recorded and

Mathematics

1 answer:

andreev551 [17]3 years ago

3 0

First find the derivative,

$\dfrac{d}{dt}\Big(-10\cos(4t)\Big)=40\sin(4t)$ .

Then find the critical point,

$40\sin(4t)=0\implies t=40\mathrm{s}$ .

Hope this helps.

I am a little rusty here :(.

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Consider the survey descriptions shown. Survey 1: A township employee surveys all 118 workers at a shopping mall to learn about

sweet [91]

Answer:

3,2,1

Step-by-step explanation:

8 0

4 years ago

Read 2 more answers

find the average rate of change from t=2 to t=5 for the velocity function v(t)=t^2-t+10. WILL GIVE THE BRAINLIEST ANSWER--EXPLAI

Elina [12.6K]

Answer: The average rate of change is 6.
First, plug in each value of <em>t</em> into the function, v(t) to find there coordinate pairs.

v(2) = (2)^2 - (2) + 10
v(2) = 4 + 8
v(2) = 12

v(5) = (5)^2 - (5) + 10
v(5) = 25 + 5
v(5) = 30

You can write these values as coordinate pairs, like so: (2, 12) and (5, 30).
The formula for the average rate of change is $A(x) = \frac{f(x)-(f(a)}{x-a}$ . When you plug in the values from this particular case, the average rate of change formula becomes $A(t) = \frac{30-12}{5-2}$ , or $A(t)= \frac{18}{3}$ .

Looking at the equation, you can solve for the average rate of change between t = 2 and t = 5, which equals 6.

8 0

3 years ago

A company wants to decrease their energy use by 10%. If their electric bill is currently $1,900 a month, what will their bill be

NemiM [27]

Answer:

A. $1,710

B. Yes, probably.

Step-by-step explanation:

Assuming that a 10% decrease in energy use leads to a 10% decrease in the electric bill:

We'll want to find the value which is 10% less than the original value, i.e., the bill cost which is 90% of the original bill.

90% = 0.9

Since the original bill was $1900, we can just multiply 1900 by 0.9:

$1900*0.9=1710$

Answer: A bill of $1,710 would equal a 10% decrease.

Since $1,672 is less than that, then they have decreased their energy use by more than 10% which is likely a success.

Answer: Yes, probably.

5 0

3 years ago

8x + y = -39<br> 2x - 5y = 27<br> Solve the system by elimination

Ahat [919]

Answer:

(-4, -7)

Step-by-step explanation:

21y=-147

y=-7

2x-5x(-7)=27

x=-4

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3 years ago

Steve and Abby purchased a set of vases to place on a 12 foot long mantel above their fireplace. They want to place one vase 1/4

Nonamiya [84]

Answer: One vase should be placed 3 feet from the end of the mantel and the other vase should be placed 9 feet from the same end.

Step-by-step explanation:

You know that lenght of the mantel above their fireplace is 12 feet.

They want to place one vase $\frac{1}{4}$ of the distance from one end of the mantel. This distance in feet is:

$distance_{vase1}=(12feet)(\frac{1}{4})\\\\distance_{vase1}=3feet$

They want to place the other vase $\frac{3}{4}$ of the distance from the same end of the mantel. Therefore, this distance in feet is:

$distance_{vase2}=(12feet)(\frac{3}{4})\\\\distance_{vase2}=\frac{36feet}{4}\\\\distance_{vase2}=9feet$

Therefore, one vase should be placed 3 feet from the end of the mantel and the other vase should be placed 9 feet from the same end.

5 0

3 years ago