Determine the amplitude or period as requested. Amplitude of y=3 cos 1 2

Answers

Answer 1

Answer:

The amplitude is 3

Step-by-step explanation:

Given

The right function is:

[tex]y = 3 \cos(\frac{1}{2}x)[/tex]

Required

The amplitude

A sine function is represented as:

[tex]y =A \cos(Bx + C) + D[/tex]

Where

[tex]Amplitude = |A|[/tex]

By comparing:

[tex]y = 3 \cos(\frac{1}{2}x)[/tex] and [tex]y =A \cos(Bx + C) + D[/tex]

[tex]A= 3[/tex]

So:

[tex]Amplitude = |3|[/tex]

[tex]Amplitude = 3[/tex]

Hence, the amplitude is 3


Related Questions

In 2009, Tanvi paid $1,900 in federal income tax. In 2010, she paid 16% more than in 2009. How much did Tanvi pay in 2010?
PLZ NEED ASAP AND EXPLAIN STEP BY STEP!! Thank you!​

Answers

In 2009- She paid $1900

She paid 16% more in 2010

16/100*1900=304

She paid $304 extra

$1900+$304

=$2204

Answer: In 2010 Tanvi paid $2204

The smaller arrow is a scale drawing of the larger arrow. What percent of the area of the larger arrow is the area of

Answers

Answer:

the answer is 43%

Step-by-step explanation: The answer is 43 and if you look up on you will find it because i know the answer

Peter bought 9 tickets to a basketball game. He paid a total of $72. Choose the equation that determines whether each ticket cost $6 or $8

Answers

Answer: hifcnvhkbkjhbjlljn

Step-by-step explanation:

Answer:

8 dollars

Step-by-step explanation:

If you divide 72 by 9, youll get an even number of 8.

20 points for help -Please help I'm stuck and need to find the ordered pair . I think it's -2,2 but I'm not sure .

Answers

You’re correct. The orders park is (-2,2).

Sylvia made 32 of her 50 free throws at basketball practice.
What percent of her free throws did she miss?

Answers

Answer: 36%

Step-by-step explanation: A simple way to figure out is to do 32/50 times 2. This makes it 64/100. 100 minus 64 is 36 which is the percent on how much free throws she mised

64 percent
Reason If you divide 32 by 50 you get 0.64 if u take always the zero and period u would have 64 percent

Which phrase is a description of 7t-3?

Answers

Seven times t minus 3

I need help on number one

Answers

answer is 9

Change the sign of the exponent by rewriting the base as its reciprocal

3^2

raise 3 to the power of 2

you get 9

Which situation can be represented by -85+85 choose all that apply

Answers

0 is most likely the answer. considering you didn’t add a picture or anything like that.

A convex polyhedron has 18 edges and 4 more vertices than faces. How many faces does the polyhedron have?

Euler’s formula: V + F = E + 2

8
12
14
16

Answers

Answer:

8 faces

Step-by-step explanation:

F = # faces

4 + F + F = 18 + 2

2F + 4 = 20

2F = 16

F = 8

Answer:

8

Step-by-step explanation:

got it right on test

Which property does this represent: (19 x 5) x 2 = 19 x (5 x 2)

Answers

Answer:

Associative Property of Multiplication

Step-by-step explanation:

The associative property of multiplication means that no matter where you put the parenthesis in the equation, the answer will remain the same.

Hope this helps! :)

Graph the equation y = x2 + 10x + 24 on the accompanying set of axes. You must
plot 5 points including the roots and the vertex.
GIVE ME THE POINTS!!

Answers

Answer:

answers steps below and attached for the 5 points

Step-by-step explanation:

y = x² + 10x + 24

x² + 10x + 24 = 0

(x+4) (x+6) = 0

x = -4 or x = -6        .... Roots: (-4 , 0) and (-6 , 0)

y = (x² + 10x + 25) - 1 = (x+5)² - 1             ... y = (x-h)² + k    (h,k) is vertex

vertex: (-5,-1)

Which of the following is equivalent to 19 L?
A. 1,900 mL
B. 0.019 mL
C. 19,000 mL
D. 0.0019

Answers

the answer is A which is 1900 ml

A,1,900 is the answer best

ASAP pls help me giving brainliest

Answers

Answer:

4 pounds of flour does not equal 6 pounds of flour

or

4 pounds of concrete is lighter than 6 pounds of concrete

Step-by-step explanation:

Select the correct answer.
graph A graph B


graph C graph D


Which graph correctly represents
3x + y > 7?

A.
graph A

B.
graph B

C.
graph C

D.
graph D

Answers

Answer:

the graph that represents 3×+→7 it is graph b

If you flip two coins 200 times how many times would you expect the coins to match

Answers

Answer:

100times

Step-by-step explanation:

theoretically it would be a 50/50 so I would expect them to match 50% of the time or 100 times

i expect it to match about 90time i don’t know exactly but that what i think

Suppose we have a function defined by f(x)=4x+2 What is the value of f(3) ?

Answers

Answer:

um... 12

Step-by-step explanation:

<3

The value of f(3) is given as 14.

What is a function?

A function y = f(x) can be defined as a one to one relation between sets X and Y. The set X is called the domain and Y is called the range of the function.

The given function is as below,

f(x) = 4x + 2

In order to find the value of f(3) substitute x = 3 in the function as,

f(3) = 4 × 3 + 2

     = 12 + 2

     = 14

Hence, the value of the function f(x) at x = 3 is 14.

To know more about function click on,

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Which expression is equivalent to 1/6 (2x+3y)

Answers

Answer:

x/3+y/2

Step-by-step explanation:

Hello, to find the equivalent expression in this equation, you would first distribute the 1/6 to 2x+3y like this:

2x(1/6)+3y(1/6)

Then, you multiply and you would get x/3+y/2. And that would be the answer.

Examine the figure of two parallel lines cut by a transversal.


What is the value of x?

Answers

Answer:

50

Step-by-step explanation:

2x+10+2x-30=180

4x-20=180

4x=200

x=50

Answer:

2x-30+2x+10=180[sum of angle of co interior angle is supplementary]

4x=180+20

x=200/4=50

x=50

What is the area of the obtuse triangle given below?
2 9

Answers

Answer:

The area is 9 unit squared

Step-by-step explanation:

Given

The right parameters are:

[tex]Base = 2[/tex]

[tex]Height = 9[/tex]

Required

The area of the triangle

This is calculated as:

[tex]Area = 0.5 * Base * Height[/tex]

So, we have:

[tex]Area = 0.5 * 2 * 9[/tex]

[tex]Area = 9[/tex]

Hence, the area is 9 unit squared

Please help !
Find a.
Round to the nearest tenth:
27 cm
102
28
a = [? ]cm
Law of Sines: sin A
sin C
sin B
b
a
A=?

Answers

Given:

In the given triangle the measure of two angles are 102 degree and 28 degrees and the sides of the triangle are a, 27 cm, c.

To find:

The value of a.

Solution:

Let the given triangle be ABC, such that,

[tex]m\angle B=28^\circ[/tex]

[tex]m\angle C=102^\circ[/tex]

[tex]b=27\ cm[/tex]

Using angle sum property of triangles, we get

[tex]m\angle A+m\angle B+m\angle C=180^\circ[/tex]

[tex]m\angle A+28^\circ+102^\circ=180^\circ[/tex]

[tex]m\angle A=180^\circ-28^\circ-102^\circ[/tex]

[tex]m\angle A=50^\circ[/tex]

According to the Law of Sines:

[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}[/tex]

[tex]\dfrac{\sin 50^\circ }{a}=\dfrac{\sin 28^\circ }{27}[/tex]

[tex]\dfrac{27\times \sin 50^\circ }{\sin 28^\circ}=a[/tex]

[tex]\dfrac{27\times \sin 50^\circ }{\sin 28^\circ}=a[/tex]

[tex]a\approx 44.06[/tex]

Therefore, the value of a is about 44.06 cm.

apples are bought by a fruit shop for 25 cents each and resold for 33
cents each ? what is the selling price​

Answers

Answer:

8 cents

Step-by-step explanation:

i'm going to assume you mean the value the store gets from selling the apples

33 - 25 =8

find the surface area2 No files

Answers

Answer:

672 sq. inches

Step-by-step explanation:

total surface area:

[tex]2\times ( \frac{1}{2} \times 7 \times 24 ) + (7 \times 9) +(24 \times 9)+(25 \times 9)\\= 672[/tex]

Please check my answer.
Which statement shows that a scuba diver 30 feet below the surface is lower than a kite boarder 3 feet above the surface?
A: -3 > 30
B: -30 > 3
C: 3 < 30
D: 3 > -30 (I picked this one. Am I correct?)

Answers

Answer: its C because 30 is greater than 3

Step-by-step explanation:

What is 2÷5/12?(pls help i rly dont wanna go to summer school)

Answers

Answer:

4.8

Step-by-step explanation:

Answer:

0.033 is the answer.

Step-by-step explanation:

2/5=0.4

0.4/12=0.033

Have a nice day!

x/8.5=16/4
what's the answer

Answers

Answer: x = 34

Explanation:

x/8.5 = 16/4
x/8.5 = 4
x = 4 x 8.5
x = 34

[tex]\frac{x-2}{x^2+4x-12}[/tex]

Answers

Answer:

1/(x+6)

Step-by-step explanation:

I'm assuming you want me to factorize

x^2+4x-12 would factorize into (x-2) and (x+6)

Therefore, the numerator (x-2) would cancel with the part of the numerator (x-2) leaving 1/(x+6)

What is the answer to this problem?

Answers

Answer:

0.5 if rounded to the nearest tenth

Step-by-step explanation:

12
13
14
15
A rectangle has a length represented by the function f(x) and a width represented by g(x).
х
3
4.
5
6
P(x) = 2[(f + g)(x)]
16
22
28
34
A(x) = (fºg)(x)
7
18
33
52
Which statement describes the combined functions P(x) and A(x)?
O A(x) is linear, but P(x) is not
OP(x) is linear, but A(x) is not.
O Both P(x) and A(x) are linear.
O Neither P(x) nor A(x) are linear.

Answers

Answer:

answer is will be A(x) is linear, but P (x) is not

The function P(x) = 2[(f + g)(x)] will be linear but A(x) = (f º g)(x) will not be linear.

What is function?

A function is a relation between a dependent and independent variable. We can write the examples of functions as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is to that a rectangle has a length represented by the function f(x) and a width represented by g(x).

For the function -

P(x) = 2[(f + g)(x)]

We can see that two linear functions are added. So the resulting function will be a linear function.

and

For the function -

A(x) = (f º g)(x)

We can see that the function g(x) act as a domain for the function f(x). This will no longer make the function f(x) linear. So, it will not be linear.

Therefore, the function P(x) = 2[(f + g)(x)] will be linear but A(x) = (f º g)(x) will not be linear.

To solve more questions on functions, visit the link below-

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The Hiking Club plans to go camping in a State park where the probability of rain on
any given day is 3/4. What is the probability that it will rain on at most one of the
four days they are there? Round your answer to the nearest thousandth.

Answers

Answer:

3/4 or 0.75

Step-by-step explanation:

Nancy’s nut store sells peanuts for $2 per pound and cashews for $10 per pound. The store sells a peanut - cashew mixture for $7 per pound. How many pounds of peanuts and how many pounds of cashews should be used to create 40 pounds of the mixture? I’m

Answers

9514 1404 393

Answer:

25 pounds cashews15 pounds peanuts

Step-by-step explanation:

Let c represent the number of pounds of cashews in the mix. Then 40-c is the number of pounds of peanuts. The total cost of the mix is ...

  10c +2(40 -c) = 7(40)

  8c +80 = 280 . . . . simplify

  c +10 = 35 . . . . . . . divide by 8

  c = 25 . . . . . . . . . . subtract 10

  40-c = 40-25 = 15 . . . . pounds of peanuts

25 pounds of cashews and 15 pounds of peanuts should be used in the mix.

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