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
Vladimir79 [104]
3 years ago
5

Find the period of the function. y=3 sin x/8

Mathematics
1 answer:
Alexus [3.1K]3 years ago
5 0

Answer:

The period of given function is  Period = 16\pi

So, Option B is correct.

Step-by-step explanation:

In this question we need to find the period of the function y= 3 sin x/8

The formula used to find period of function is: \frac{2\pi }{b}

We need to know the value of b.

To find the value of b we compare the standard equation with the equation of function given.

Standard Equation: y = a sin(bx - c) +d

Given Equation: y= 3 sin(x/8)

Comparing we get:

a= 3

b= 1/8

c= 0

d=0

So, we get the value of b i.e 1/8. Putting it in the formula to find period of given function.

Period = \frac{2\pi }{b}

Period = \frac{2\pi }{\frac{1}{8}}

Solving,

Period = 2\pi *8

Period = 16\pi

So, the period of given function is  Period = 16\pi

You might be interested in
Allison paid $297.50 for a new laptop. Last week, the price of the laptop<br> was $350.
Thepotemich [5.8K]

15%

350x0.15=52.5

350-52.5=297.5

4 0
3 years ago
Levi takes his friends on a boat ride.
melomori [17]

Answer:

The distance traveled in Duke Canal is one-fourth the distance traveled on Witham Lake

Step-by-step explanation:good luck

5 0
3 years ago
What is the scale factor that takes the large triangle to the small triangle?
Lerok [7]

Step-by-step explanation:

such a scale factor applies to all sides and lines.

we see that DE is 12 units, and AB is 4 units.

so,

12×f = 4

f = 4/12 = 1/3 is the scale factor

control : check the other side

FE = 6 units

6 × 1/3 = 2

so, the corresponding side in the small triangle must be 2 units long.

and indeed, CB is 2 units long. all correct.

5 0
2 years ago
A grower believes that one in five of his citrus trees are infected with the citrus red mite. How large a sample should be taken
mihalych1998 [28]

Answer:

n=6147

Step-by-step explanation:

1) Notation and definitions

X=1 number of citrus trees that are infected with the citrus red mite.

n=5 random sample taken

\hat p=\frac{1}{5}=0.2 estimated proportion of citrus trees that are infected with the citrus red mite.

p true population proportion of citrus trees that are infected with the citrus red mite.

Me=0.01 represent the margin of error desired

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})

In order to find the critical values we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical values would be given by:

t_{\alpha/2}=-1.96, t_{1-\alpha/2}=1.96

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.01 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.2(1-0.2)}{(\frac{0.01}{1.96})^2}=6146.56  

And rounded up we have that n=6147

5 0
3 years ago
WILL GIVE BRAINLIEST AND 30 POINTS! Peter calculated |5 + 13i| by finding Where was Petey’s mistake? He should not have used the
tiny-mole [99]

Answer: He should have used 13 instead of 13i

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Twice the quotient of 50 and the sum of a number y and 8
    11·1 answer
  • Compute the second partial derivatives
    12·1 answer
  • Helen spends 12% of her budget on transpiration expenses. Write this percent as a fraction and decimal and explain how.
    9·1 answer
  • Find the surface area of a sphere in terms of pi given the radius of 25 inches
    5·1 answer
  • Find how many quarts are in 384 ounces
    15·1 answer
  • X + 2x - 7/4=1 - x/2 -x ayudaaaaa
    8·2 answers
  • Complex Numbers<br><br><br><img src="https://tex.z-dn.net/?f=%5Cfrac%7B-1-2i%7D%7B-2%2Bi%7D" id="TexFormula1" title="\frac{-1-2i
    9·1 answer
  • Determine the intervals of the domain over which the function is continuous.
    10·1 answer
  • Write one way you can read the time. Like 3:55
    10·2 answers
  • Describe the square roots of numbers using 2 sentences. Write one sentence describing the square roots of numbers such as √0. 6,
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!