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3 years ago

8

What is this for this question pls help

1 answer:

RideAnS [48]3 years ago

6 0

They are asking you to graph use x1 and y1 x is the one that goes side to side

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A weight suspended by a spring vibrates vertically according to the function D D given by D(t)=2sin(4π(t+18)) D ( t ) = 2 sin (

STALIN [3.7K]

Answer:

21.75 cm/s

Step-by-step explanation:

1 cm above central position means D = 1, so we plug in 1 into D(t) and find the time and which this occurs.

$D(t)=2Sin (4\pi(t+18))\\1=2Sin (4\pi(t+18))\\\frac{1}{2}=Sin(4\pi t +72\pi)\\4\pi t + 72 \pi = \frac{\pi}{6}\\4\pi t = \frac{\pi}{6}-72\pi\\t=\frac{\frac{\pi}{6}-72\pi}{4\pi}$

This is the time at which this occurs.

To find instantaneous rate of change, we differentiate D(t) and plug in this t we found. Remembering that d/dt (Sin t) = Cos t

$D(t)=2Sin (4\pi(t+18))\\D(t)=2Sin(4\pi t + 72\pi)\\D'(t)=2Cos(4\pi t + 72\pi)(4\pi)$

Now putting t:

$D'(t)=2Cos(4\pi t + 72\pi)(4\pi)\\D'(\frac{\frac{\pi}{6}-72\pi}{4\pi})=2Cos(4\pi (\frac{\frac{\pi}{6}-72\pi}{4\pi}) + 72\pi)(4\pi)\\=8\pi Cos(\frac{\pi}{6})\\=21.75$

Thus, the instantaneous rate would be around 21.75 cm/s

8 0

3 years ago

Find the midpoint of the segment between the points (17,−11) and (−14,−16)

Viefleur [7K]

Answer:

(1.5, -13.5)

Step-by-step explanation:

Midpoint Formula: $(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )$

Simply plug in our coordinates into the formula:

x = (17 - 14)/2

x = 3/2

y = (-11 - 16)/2

y = -27/2

4 0

3 years ago

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Not sure how to do this because fractions confuse me but i need to know asap thank you so much!

SCORPION-xisa [38]

The answer is B

I subtracted the 2 fractions.

7 0

3 years ago

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i am stuck on a question and i need help solving it so, this is my question what is 9n-12=3n if someone could help me i would ap

Mamont248 [21]

Answer:

The answer is n=1

Step-by-step explanation:

The steps are in the picture. Hope this helps :)

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3 years ago

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There are 115 flowers on 7 trees. What is the unit rate of the flowers per tree? How many flowers on 22 trees?

melamori03 [73]

Answer: 16 flowers per tree, 352 flowers on 22 trees.

Step-by-step explanation:

115 flowers/ 7 trees= 16.4 flowers per tree

Since you can't have partial flowers, round down to 16 flowers per tree.

16 flowers per tree * 22 trees=352 flowers

4 0

2 years ago