The function G(x) = sin(x) is the result of the application of transformations
on the original function F(x) = cos(x). Which of the following options
correctly describes the transformations applied to F(x)?
A. A phase shift of n radians
B. A vertical shift of -1 unit
T
C. A phase shift of radians
2
a
D. A vertical shift of 1 unit
Sell

Answers

Answer 1

Answer: shifted by π/2 radians

Step-by-step explanation:

The function sine of 'x' can be equated to the function cosine of 'x' by shifting cosine by 180 degrees. In math words:

[tex]sin(x)=cos(x-180)[/tex]

The value 180 degrees in radians would be π/2. Therefore, in radians:

[tex]sin(x)=cos(x-\pi /2)[/tex]

The 'x' inside of the functions is called the argument, and the value added or subtracted to the argument is the phase. The correct answer would be that sine is equal to cosine shifted by a phase of π/2 radians


Related Questions

If the perimeter of a rectangle is 90 inches and the length is 13 inches more than its width, find the area of the rectangle?

Answers

416 inches for the area

Solution of this question needed on urgent basis!

Answers

let the vertices on either side of the 0 be A and B

then let the vertex opposite of O be C

First, angle ACB will be equal to 90° as it is the angle that lies on the same arc as the diameter. From there you can find angle y with angle A+ angle B+ Angle C=180°

then you can find the angle complementary to x with the same formula then you can subtract that angle with 90° to get x.

Answer:

90°

Step-by-step explanation:

let the vertices on either side of the 0 be A and B

then let the vertex opposite of O be C

First, angle ACB will be equal to 90° as it is the angle that lies on the same arc as the diameter. From there you can find angle y with angle A+ angle B+ Angle C=180°

then you can find the angle complementary to x with the same formula then you can subtract that angle with 90° to get x.

The line y = 4x + c passes through (1,7), find the value of c

Answers

y= 4x + c
At (1,7) (7)=4(1) + c
7= 4 + c
c = 7-4=3
c=3

Answer:

c = 3

Step-by-step explanation:

y = 4x + c

to find c substitute (1, 7 ) into the equation

7 = 4 + c ⇒ c = 7 - 4 = 3

Help help help math math

Answers

Answer:

x=5

Step-by-step explanation:

[tex] \frac{ - 8 - 2x}{3} = - 6[/tex]

[tex] - 8 - 2x = - 18[/tex]

[tex] - 2x = - 10[/tex]

[tex]x = 5[/tex]

Brainliest if correct

Answers

Answer:

$5.45

Step-by-step explanation:

Hello!

The question is saying that 3.6 pounds of shrimp is 19.62.

To find the unit price (fancy term for saying price per pound of shrimp) for one pound.

To do this, divide 19.62/3.6 to find the value of a pound of shrimp.

$5.45 is the answer PER POUND.

To check your work, you can multiply this by 3.6 pounds to get the original value. Hope I helped.

Which equation represents exponential growth? A)Y=2x or B)Y=3(5)^ or C)y=4x2 or D)Y= 2(0.5)x

Answers

Answer:

B)

Step-by-step explanation:

Why A Doesn't Work:

y=mx+b is a linear equation.

y=2x, y=2x+0 which is a linear equation.

Why C doesn't work:

Anything with x² in it is a parabola. Anything.

4x² is a parabola, not an exponential equation.

Check for yourself on Desmos.

Why D doesn't work:

2(0.5)x

2(0.5) = 1

(1)x = 1x

y=1x,  y = 1x+0 = LINEAR

Why B Works:

I do not understand what B is supposed to be, but I suppose it is correct by using the process of elimination.

Hope this helps :)

-jp524

Write 43/19 as a decimal rounded not the nearest 100th

Answers

Answer: So you're looking for 43/19 but not to the nearest hundredth, so maybe your teacher is looking for the decimal to be rounded to the nearest tenth or one thousandth... Here's how you would solve this...

Step-by-step explanation:

49/13 or 49 ÷ 13

49/13 = 3.76923076923

To the Nearest 10th: Answer ≈ 3.8

To the Nearest 1,000th: Answer ≈ 3.769

To the Nearest 100th: Answer ≈ 3.77

Note: I listed the nearest 100th in case you need it, I hope this helps you!

Explain in your own words how to find the area of a triangle. * Your answer

Answers

Answer:

Step-by-step explanation:

[tex]Area \ of \ the \ triangle = \dfrac{1}{2}bh[/tex]

b is the base of the triangle.

h  is the perpendicular height

x=15 x=45 x=60 x=135

Answers

Step-by-step explanation:

This is the answer , I hope you understand

what is the answer to 3x = 6

Answers

6/3 = 2
3 x 2 = 6
3(2) = 6
x = 2

Answer:

2

Step-by-step explanation:

3x=6

same thing as 3*x=6

3*2=6

x=2

Find the rule.



Rule:​

Answers

Answer:

The rule is to multiply  the numbers on the X side by 3

Step-by-step explanation:

brainlyiest?

The Formula for the volume of a right square pyramid is given down below, where a is the side length of the base and h is the height.
V= 1/3a^2h
Rewrite the formula and solve for a
PLEASE ANSWER WILL GIVE BRAINLIEST IF CORRECT ​

Answers

Answer: Is it B? I hope it helps you :)

Step-by-step explanation:

Based on the simulation, what proportion of the 95 percent confidence intervals capture the population proportion of 0.3? Explain how you determined your answer.

Answers

Using the concept of a confidence interval, it is found that 95% of the 95% confidence intervals will capture the population proportion.

What is the interpretation of a x% confidence interval?

It means that we are x% confident that the population parameter(mean/proportion/standard deviation) is between a and b, that is, x% of intervals capture the population parameters.

In this problem, applying the interpretation, 95% of the 95% confidence intervals will capture the population proportion.

More can be learned about confidence intervals at https://brainly.com/question/25890103

If the answer is L * W * H then why do you have to divide once you get to H to get the correct answer?

Answers

Answer:

Hi! I'm not quite sure what you entirely mean by this but I'll try to help. LxWxH is a formula used to find the volume of a rectangular prism or a box. If this is what you are using it for then there shouldn't a reason to divide. Unless maybe you're trying to find half of a box or you are trying to find the value of one of these in an equation but that's the only thing I can think of. Do you think you might be able to post an example in the comments?

Step-by-step explanation:

What is the mean of this data set? {6, 11, 5, 2, 7} Enter your answer as a decimal in the box.

Answers

Answer:

The mean is 6.2.

Step-by-step explanation:

The "mean" is the same thing as the "average". Essentially, the question is asking for the average of the numbers.

So:

Add up all of the terms. [6 + 11 + 5 + 2 + 7] = 31

You find the average by dividing the sum of the terms (31) by the number of terms (5).

31/5 = 6.2

The mean is 6.2.

I hope this helped! :)

Manuel found a wrecked Trans-Am that he could fix. He bought the car for 65% of the original price. If he paid $4,875, what was the original cost of the Trans-Am before it was wrecked?

Answers

Answer:

$7,500

Step-by-step explanation:

65% = 4875

divide both by 65

1% = 75

multiply by 100

100% = 7500

Please help me thank you!!

Answers

Answer:

[tex]F(t)=6000(0.343)^{t}[/tex]

Step-by-step explanation:

a = 6000, b = 0.7³ = 0.343

so

[tex]F(t)=6000(0.343)^{t}[/tex]

A student attends only 3 out of every 4 days during a summer course. If the student attended 105 days, how many days did the summer course run?

Answers

Answer:   140 days

Step-by-step explanation:

3 times 35 is 105 days

35 plus 105 is 140 days

What is the are of this figure???

Answers

Answer:

44 sq. cm

Step-by-step explanation:

I promise it's right, I did the math.

Simplify the expression: (4p-8/p^3-2p^2-q+2/q^3+2q^2) x p/2q-p

Answers

+1 • (2p5q3x + 4p4q3x + 2p3q5x + p3q4x + 2p3q2 + 2p3x + 8q3x)

I would explain how to get it but it’s like 20 steps into getting this
Good luck though please tell me if I did any part of this problem wrong it might be some typos

Is this correct?
Or the remainder must be 17.

Answers

Answer:

no, it isn't correct

Step-by-step explanation:

the answer is 13.4705 I'm pretty sure

Answer:

Both

Step-by-step explanation:

Your calculations are correct actually 100% correct but may I ask where do you get a remainder of 17.

Because do you see where you have 118 - 102 =16 that is your remainder so you are correct but what the question was wrong.

Your answer is 13 with a remainder of 16.

You did a great job and didn't need my help but I do hope this helps have a great day:)

.How do you determine if two numbers
or expressions are equation

Answers

Answer:only if all of the terms in the two expressions are the same, then the two expressions are similar

It takes 79 pounds of seed to completely plant a 12-acre field. How many acres can be planted per pound of seed?

Answers

Answer:

0.152 acres

Step-by-step explanation:

Given the information that 79 pounds of seed means you can plant 12 acres of field, we can set the two equal to each other:

      79 pounds of seed = 12 acres

Now, we just need to use 1 pound of seed to solve for the amount of acres that can be planted per that one pound:

      1 pound seed ([tex]12acres/79pounds[/tex]) = 0.152 acres

can someone help me with this? it's super confusing and i need the answers​

Answers

Answer:

question 2

a) rectangle

b) all of the angles are 90 degrees

c) 3+3+4+4=14 units

d) 12 units squared

question 3

if their slopes are the same, they are parallel.

if the lines do not intersect graphically, they are parallel.

if the slopes multiply to -1, they are perpendicular.

if the degree made by the intersection is 90 degrees, the lines are perpendicular.

Find the length of TV.

Answers

Answer:

30units

Step-by-step explanation:

Hope this answers helps you

8. Evaluate the polynomial function
f(x) = -2x4 + 6x3 - 3x + 11 when x = 4
(
-

Answers

Answer:

f(4) = -129

Step-by-step explanation:

Substitute the value of x which is 4

f(x) = -2x4 + 6x3 - 3x + 11

f(4) = -2(4)4 + 6(4)3 - 3(4) + 11

f(4) = -2(256) + 6(64) - 12 + 11

f(4) = -512 + 384 - 1

f(4) = -128 - 1

f(4) = -129

Nelson paid $25.95 for each adult hat and $13.95 for each youth hat he bought. Nelson bought 3 adult hats and 4 youth hats. How much money did he spend on the hats all together?

Answers

Answer:

Step-by-step explanation:

25.95 x 3 = 77.85

13.95 x 4 = 55.8

77.85 + 55.8 = 133.65



Given the graphs of f(x) = 2x + 1 and g(x) = 5x – 2, what is the solution to the equation f(x) = g(x)?
A) 0
B) 1
C) 3
D) –2

Answers

Answer:

1 is answer

2x+1=5x-2

5x-2x=1+2

3x=3

x=3


Look at the image below

Answers

Answer:

subtotal 9.76

Step-by-step explanation:

i can tell the last 2

hope this helps

pls mark brainliest

Consider △DEF with vertices D(−5,−3),E(−1,1), and F(3,−7). Find the coordinates of the vertices of the final image of △DEF after the similarity transformation.

Answers

D(-5,-3) = D’(-8,-8) = D”(-2,-2)
E(-1,1) = E’(-4,-4) = E”(-3.75,-3.75)
F(3,-7) = F’(-1,-12) = F”(-0.25,-3)
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