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Bad White [126]
4 years ago
7

The equation d=11cos(8pi/5 t) models the horizontal distance, d, in inches of the pendulum of a grandfather clock from the cente

r as it swings from right to left and left to right as a function of time, t, in seconds. According to the model, how long does it take for the pendulum to swing from its rightmost position to its leftmost position and back again? Assume that right of center is a positive distance and left of center is a negative distance. 0.625 seconds 0.8 seconds 1.25 seconds 1.6 seconds
Mathematics
2 answers:
Bond [772]4 years ago
7 0

Answer:

1.25 seconds

Step-by-step explanation:

Cosine is a maximum at cos(0) = 1, and a minimum at cos(π) = -1.

At the maximum:

8π/5 t = 0

t = 0

At the minimum:

8π/5 t = π

t = 5/8

t = 0.625

The time from maximum to minimum is 0.625 seconds.  Therefore, the time from minimum back to maximum is also 0.625 seconds.  So the total time is:

0.625 + 0.625 = 1.25

densk [106]4 years ago
5 0

Answer:

1.25 seconds

Step-by-step explanation:

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–735 = 15(m + 929) m = _______
Rina8888 [55]

Answer:

-978

Step-by-step explanation:

1.) Use Distributive property (by multiplying 15 by the values in parentheses): -735=15m + 13935

2.) Subtract 13,935 on both sides, to move that value to the left side, to further  isolate the variable m.

-735-13935=15m + 13935 - 13935

3.)-Simplify/Combine Like Terms

-14,670=15m

4.) Divide both sides by 15 to isolate and solve for m

-14,670/15=15m/15

5.) Simplify

-978=m    

6.) Rearrange so m is on left side and value is on right side

m=-978

5 0
3 years ago
If the line represented by y=-1/4 x -2 is dilated by a scale factor of 4 centered at the origin, which statement about the image
Alona [7]

Answer:

  a.

Step-by-step explanation:

Dilation does not change the direction (slope) of any lines. The slope of the image line is the same as the original when the line is subject to dilation. The y-intercept point (0, -2) will be multiplied by the dilation factor, so will become 4(0, -2) = (0, -8). The dilated line will have equation ...

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4 0
2 years ago
A second bag of 40 marbles contains 11 red marbles, 9 blue marbles and 20 green marbles.
Goryan [66]

Answer:

Where is the first bag? We cant solve the question without knowing the marbles in the first bag

8 0
3 years ago
Read 2 more answers
Four more than the product of x and y
Naddika [18.5K]
The answer to this one is<em> xy + 4</em>
5 0
3 years ago
Find the 60th term of the arithmetic sequence <br> −29,−49,−69,...
Mariulka [41]

Answer:

  -1209

Step-by-step explanation:

Your sequence has first term a1 = -29 and common difference d = -20. Using these in the formula for the n-th term, we can find the 60 term.

  an = a1 +d(n -1)

  an = -29 -20(d -1)

  a60 = -29 -20(60 -1) = -1209

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4 years ago
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