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Vlada [557]
3 years ago
12

Find a function that models the simple harmonic motion having the given properties. Assume that the displacement is zero at time

t = 0.
amplitude 16 cm, period 3 s



Would the answer bey = 16sin(\frac{2\pi }{3}t)
Mathematics
1 answer:
Svetlanka [38]3 years ago
5 0

Answer:

y = 16sin(2π/ 3)t.

Step-by-step explanation:

When displacement = 0 at time = 0 we use the sine function.

The formula is y = A sin(2πft)  where A = the amplitude, f = frequency which  is 1/period and t = the time.

So for this SHM the function is

y = 16sin(2π/ 3) t.

You are correct.

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1x -8 &lt; 2x + 1<br> What is the largest integer value that makes this inequality true
professor190 [17]

Answer:

The largest integer value that makes the inequality true is 9.

General Formulas and Concepts:
<u>Algebra I</u>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify.</em>

1x - 8 < 2x + 1

<u>Step 2: Solve for </u><u><em>x</em></u>

  1. Simplify:                                                                                                            x - 8 < 2x + 1
  2. [Subtraction Property of Equality] Subtract <em>x</em> on both sides:                        -8 < x + 1
  3. [Subtraction Property of Equality] Subtract 1 on both sides:                        -8 < x
  4. Rewrite:                                                                                                           x > -8

∴ we see that any number <em>x greater than -8</em> would work as a solution to the inequality. That would mean the next largest integer, 9, would be our answer.

---

Topic: Algebra I

7 0
2 years ago
What is the value of x?​
myrzilka [38]

Answer:

<h2>x = 20</h2><h2 />

Step-by-step explanation:

∠VRW and ∠TRS form a pair of vertical angles then they are congruent

therefore

3x = x + 40

⇔

2x = 40

⇔

x = 20

5 0
3 years ago
1. Is the square root of 2 between 1.3 and 1.4? How do you know?
VikaD [51]

Answer:

Step-by-step explanation:

1st . 1.3^2= 1.69

1.4^2= 1.96

It's not bettween 1.3 & 1.4

2. 1.4^2=1.96

1.5^2= 2.25

it's betteen 1.4 & 1.5

3 . 1.4 & 1.5 so it's eqaul 1.4

3 0
3 years ago
Read 2 more answers
What is the equation of the circle with a radius of 7 and center at (6, -5)?
koban [17]

Answer:

D is the equation of the circle

3 0
2 years ago
Please help. Calculate the area of the shaded region in each figure use 3.14 for π and round to the nearest 10th if necessary​
denpristay [2]
Answer: See below

Explanation:

Find the area of circle:

A = 3.14 x 5^2
A = 3.14 x 25
A = 78.5 cm^2

Find the area of rectangle:

A = 3 x 4
A = 12

Find area of shaded region:

A(shaded) = A(circle) - A(rectangle)
A = 78.5 - 12 = 66.5 cm^2
5 0
3 years ago
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