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Inessa05 [86]
3 years ago
12

A mass on a spring bounces up and down in simple harmonic motion, modeled by the function s ( t ) = 3 sin t(t)=3 sin t where s i

s measured in centimeters and t t is measured in seconds. Find the rate at which the spring is oscillating at t = 9 t=9 s. Round your answer to four decimal places.
Mathematics
1 answer:
podryga [215]3 years ago
6 0

Answer:

Rate at which spring is oscillating 2.9631

Step-by-step explanation:

The governing equation for the position of the spring = 3 sin t

the change in position of the spring with respect to time is =\frac{ds}{dt}=3cost

given time t = 9 seconds,

To find the rate at which the spring is oscillating at the time, we insert the time 9 seconds into the the slot for t

\frac{ds}{dt}=3cos 9= 2.9631

rate at which it is oscillating = 2.9631

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Data represented by quantities is called data.
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Four types of data (nominal, ordinal, interval, and ratio) that represent values or observations that can be sorted into a category
3 0
3 years ago
I theater sells tickets for a concert. Tickets for lower-level seats sell for $35 each and tickets for upper-level seats sell fo
lora16 [44]

Let X= the number of tickets sold at $35 each

Let 350 -X = the number of tickets sold at $25 each

The number of tickets sold for each type will be computed as follows:

X(35)+(350-X)25=10250

35X+8750-25X=10250

10X=10250-8750

X=1500/10

X=150 the number of tickets sold at $35 each

350-150 the number of tickets sold at $25 each

To recheck:

150(35)+200(25)

5250+5000

10250

7 0
3 years ago
What’s the answer? Because am having a hard time with this math problem.
Studentka2010 [4]

9514 1404 393

Answer:

  34.5 square meters

Step-by-step explanation:

We assume you want to find the area of the shaded region. (The actual question is not visible here.)

The area of the triangle (including the rectangle) is given by the formula ...

  A = 1/2bh

The figure shows the base of the triangle is 11 m, and the height is 1+5+3 = 9 m. So, the triangle area is ...

  A = (1/2)(11 m)(9 m) = 49.5 m^2

The rectangle area is the product of its length and width:

  A = LW

The figure shows the rectangle is 5 m high and 3 m wide, so its area is ...

  A = (5 m)(3 m) = 15 m^2

The shaded area is the difference between the triangle area and the rectangle area:

  shaded area = 49.5 m^2 - 15 m^2 = 34.5 m^2

The shaded region has an area of 34.5 square meters.

7 0
3 years ago
What is 8 × 1 + 3 × 0.1 + 9 × 0.01 in standard form
emmasim [6.3K]

Answer:

0.216

Step-by-step explanation:

8 \times 1 \times 3 \times 0.1 \times 9 \times 0.01\\\\=(8\times1)(3\times0.1)(9\times0.01)\\\\=8(0.3)(0.09)\\\\=(8\times0.3)(0.09)\\\\=(2.4)(0.09)\\\\=2.4\times0.09\\\\=0.216

is this the standard form?

5 0
3 years ago
Lynette buys candy at the grocery store. she gives half of the pieces to her son and 2 pieces to her daughter. if she has 4 piec
nevsk [136]

Let Lynette has originally candies in hand = x

She gave half to her son means x/2 given to son.

2 candies gave to daughter and left with 4.

x - x/2 - 2 = 4

adding 2 both sides

x - x/2 - 2 + 2 = 4 + 2

x - x/2 = 6

x /2 = 6

x = 12

Means she have 12 candies originally : Answer

Hope it will help :)

5 0
3 years ago
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