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Bad White [126]
3 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]3 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]3 years ago
5 0

Answer:

1.25 seconds

Step-by-step explanation:

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For online courses, like those in eCore, there is a positive correlation between the amount of time spent in the course and the
Troyanec [42]

Answer:

Regression Line is given by,

y = 22.909 + 0.209 x

The course grade of a student in the course who spent an average of 103 minutes in the course each week is: 22.909 + 0.209 × 103 = 44.436

Step-by-step explanation:

The equation of Regression equation is of the form of:

y = a + bx

where, a is intercept and b is slope

The formula for a and b is given by,

a=\frac{\sum Y \sum X^2-\sum X \sum XY}{n\sum X^2-(\sum X)^2}\\ and, b = \frac{n\sum XY -\sum X \sum Y}{n\sum X^2-(\sum X)^2}

Here, ∑X = 1149.8, ∑Y = 377.2, ∑XY = 93115.95, ∑X² = 320246.72

Thus, a = 22.909

and b = 0.209

Thus, Regression Line is given by,

y = 22.909 + 0.209 x

Thus, The course grade of a student in the course who spent an average of 103 minutes in the course each week is: 22.909 + 0.209 × 103 = 44.436

Now plotting these line:

6 0
3 years ago
Help... pls ASAP Fill in the blanks
Elis [28]

Answer:

I got this! Basically, the instructions say 12 gallons per 3 minutes. So you plug in the 12/3 to find the ratio of how many gallons per 1 minute.

Step-by-step explanation:

So, for the chart you just mulitply and evauluate

Time (min)           | 2 |  3 |  4 |   5  |   6 |

Water used (gal) | 8 | 12 | 16 | 20 | 24 |

8 0
3 years ago
Kellie is given the following information:
Murljashka [212]

Answer:

She used inductive reasoning. (False)

She used the law of detachment.  (True)

Her conclusion is valid.  (True)

The statements can be represented as "if p, then q and if q, then r."  (False)

Her conclusion is true. (True)

Step-by-step explanation:

p = Two lines are perpendicular

q = They intersect at Right angles.

Given: A and B are perpendicular

Conclusion: A and B intersect at right angle.

According to the law of detachment, There are two premises (statements that are accepted as true) and a conclusion. They must follow the pattern as shown below.

Statement 1: If p, then q.

Statement 2: p

Conclusion: q

In our case the pattern is followed. The truth of the premises logically guarantees the truth of the conclusion. So her conclusion is true and valid.

3 0
3 years ago
a chocolate company selects 800 random packages to check their weight. It finds that 12 packages have an incorrect weight. How m
Lerok [7]

Answer:

1.5% of 4000 or 60

Step-by-step explanation:

5 0
2 years ago
Name the solid shape that can be formed by each net.
Harlamova29_29 [7]

Answer:

1. cone 2. cube

Step-by-step explanation:

a cube has 6 equal sides, a cone has one round base.

7 0
2 years ago
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