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3 years ago

Which of the following functions has a period of 8 π ?

Mathematics

1 answer:

KengaRu [80]3 years ago

4 0

<h3>Answer: Choice B</h3>

Explanation:

The general template of a sine function is

y = Asin(B(x-C))+D

The value of B is the only thing that determines the period T. We ignore every other term.

It turns out that T = 2pi/B which can be solved to B = 2pi/T

Plug in the given period of T = 8pi and compute to get

B = 2pi/T

B = (2pi)/(8pi)

B = 2/8

B = 1/4

This means that the term out front of the x is 1/4 and the equation must be $y = \sin\left(\frac{1}{4}x\right)$ which matches with answer choice B.

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What is one third the difference between 3/4 and 2/3?

Ivan

Answer:

One third the difference between 3/4 and 2/3 is $(\frac{1}{36} )$

Step-by-step explanation:

One third the difference of A and B = $\frac{1}{3} \times (A-B)$

Here, as given in the question:

$A = \frac{3}{4} , B = \frac{2}{3} \\\implies A - B = \frac{3}{4} - \frac{2}{3}\\=(\frac{3 \times 3 -2 \times 4}{12}) = (\frac{9-8}{12} ) = (\frac{1}{12})\\ \implies A - B = (\frac{1}{12})$

Now, one third of the difference is :

$(\frac{1}{3}) \times (\frac{1}{12}) = (\frac{1}{36})$

Hence, one third the difference between 3/4 and 2/3 is $(\frac{1}{36} )$

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4 years ago

for his long-distance phone service, Kareem pays a $2 monthly fee plus $0.12 per minute. Last month, Kareem's long-distance bill

beks73 [17]

$13.52-$2=$11.52

$11.52 \div 0.12 = 96$

Kareem was billed for 96 minutes.

Hope this helps. - M

8 0

3 years ago

Y=10 when x=25, what is x when y=16

zavuch27 [327]

22 I think it’s probably wrong but I tried

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3 years ago

Is each line parallel, perpendicular, or neither parallel nor perpendicular to a line whose slope is −6?

ikadub [295]

Line M with slope 6 is neither, line n with slope -6 is parallel because only lines with same slope are parallel, line p with slope 1/6 is neither. and line q with slope -1/6 is perpendicular because only the reciprocal of a slope is perpendicular, so reciprocal of 6= 1/6 reciprocal of -6=-1/6 reciprocal of 2= 1/2

8 0

3 years ago

Read 2 more answers

Average Daily Temperature in August

timurjin [86]

Answer:

The range for the average low temperatures for the states listed in the chart is B) 24.

Step-by-step explanation:

Low temperatures are:

56, 55, 65, 64, 55, 44, 54, 55, 68

First we put them in order from least to greatest

44, 54, 55, 55, 55, 56, 64, 65, 68

Range is maximum - minimum

68 is maximum and 44 is minimum

68 - 44 =

Hope this helps you! (:

-Hamilton1757

6 0

3 years ago