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Allushta [10]
3 years ago
15

Find the period, range, and amplitude of the cosine function y= 3/2cos t/2

Mathematics
1 answer:
Rudik [331]3 years ago
7 0

Answer:

Amplitude = /\frac{3}{2}/

Range = [\frac{-3}{2} , \frac{3}{2}]

Period = \pi

Step-by-step explanation:

Given: y = \frac{3}{2}cos\frac{t}{2}

Comparing the equation with the standard form of cosine function :

y = A cos(Bx- C)

where:

A = Amplitude

Formula for calculating Amplitude is given as:

Amplitude = /A/

The formula for calculating Period is given as :

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

B = \frac{1}{2}

Therefore , with the comparison

A = /\frac{3}{2}/

which means that:

Range = \frac{-3}{2} , \frac{3}{2}

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

Period = \pi

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Answer:

4.5

Step-by-step explanation:

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2 years ago
How much money will you make if you make 11.35 for 10 hours 4 days a week?
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4 0
4 years ago
What is the value of y if log <base 5> <index -7> = y?​
Dvinal [7]

Answer:

Hence, the value of y is undefined.

Step-by-step explanation

log_{5} (-7) = \frac{log(-7)}{log(5)} from the property, log_a (b) = (log(a))/log(b).

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6 0
2 years ago
80
vladimir1956 [14]

Answer:

Step-by-step explanation:

D is the answer

7 0
3 years ago
Read 2 more answers
Solve for z<br> 4/z =<br> 12/5 <br> what is z
Verdich [7]

Answer:

5/3      = z

Step-by-step explanation:

You can use proportions to figure this out.

Imma solve this as I work through it.

So

4/z is equal to 12/5. So you can do something called the butterfly method (I have never used this before, but it works tho) and the method involves only multiplication and division.

Lemme clean this up for ya

The butterfly method involves multiplying in a cross format on both sides, so the

4                       12

__        =      ______

z                          5

becomes 4 times 5, and z times 12.

4 times 5 is 20, and z times 12 is 12z

so you now have 20 = 12z

Lets simplify the equation by dividing by 4s

20 divided by 4 is 5 and 12z divided by 4 is 3z

so

5 = 3z

You can divide again

by dividing both sides

by

3

to get the unit rate of z.

It will be a fraction though

and it won't look pretty

but here it is:

5

__  = z

3

So

It is

5/3

Hope this helps

and hope you get a laugh out of this

yeeha

7 0
3 years ago
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