1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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:

You might be interested in
Multiply 7/8 and 9/10
Ratling [72]
7 times 8 is 56
 9 times 10 is 90
4 0
3 years ago
Read 2 more answers
A price decreases from $254 to $213.36 . What is the percent of change?
sattari [20]

16% discount, this is because 213.36-254 over the original price (254) times 100% equals -16%

8 0
3 years ago
If f(x) = 5x + 3x² - 7x
Novay_Z [31]

Answer:

the answer is going to be A. -6x - 14 x+ 6

4 0
3 years ago
A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. The mean is found to be 9.8
svetlana [45]

Answer:

The 99% confidence interval for the true mean number of reproductions per hour for the bacteria is between 9.6 and 10.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 2.575\frac{2.4}{\sqrt{955}} = 0.2

The lower end of the interval is the sample mean subtracted by M. So it is 9.8 - 0.2 = 9.6 reproductions per hour.

The upper end of the interval is the sample mean added to M. So it is 9.8 + 0.2 = 10 reproductions per hour.

The 99% confidence interval for the true mean number of reproductions per hour for the bacteria is between 9.6 and 10.

8 0
3 years ago
Solve: 2 ( x-2 ) = 6
Umnica [9.8K]
<span>2 ( x-2 ) = 6
Use distributive property.
2x - 4 = 6
Add 4 to both sides
2x = 10
Divide 2 on both sides so that the only thing remaining on the left side is the variable x.
Final Answer: x = 5</span>
3 0
3 years ago
Other questions:
  • How many more poodles did ava observe than bulldogs?
    7·1 answer
  • Which ordered pair is a solution to the system of equations?<br> (2x - y=-2<br> (5x – 2y = 7
    15·1 answer
  • What is the coeffieent of (x^4)(y^4) in the expansion of (x+y)^8
    13·1 answer
  • 3x-8 i nedd help finding what x represent
    14·1 answer
  • a recipe uses 3 cups of gated cheese to make 10 servings. how much cheese is needed to make 6 servings?
    9·1 answer
  • If $860 is invested for one year at 13% simple interest, how much interest is earned?
    5·2 answers
  • 10x4ones= ones=<br> 10x2tens= tens=
    12·1 answer
  • What equation represents an exponential function that passes through the point (2, 80)?
    12·1 answer
  • g Suppose that a large mixing tank initially holds 500 gallons of water in which 50 pounds of salt have been dissolved. Another
    12·1 answer
  • 8. Which graph correctly shows the solution of the compound inequality 3x &gt; 3 and 9x &lt; 54?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!