Which transformations are needed to change the parent cosine function to y = 0.35 cosine (8 (x minus startfraction pi over 4 endfraction))? vertical stretch of 0.35, horizontal stretch to a period of 16 pi, phase shift of startfraction pi over 4 endfraction units to the right vertical compression of 0.35, horizontal compression to a period of 4 pi, phase shift of startfraction pi over 4 endfraction units to the left vertical compression of 0.35, horizontal compression to a period of startfraction pi over 4 endfraction, phase shift of startfraction pi over 4 endfraction units to the right vertical stretch of 0.35, horizontal stretch to a period of startfraction pi over 4 endfraction, phase shift of startfraction pi over 4 endfraction units to the right

Answers

Answer 1

The transformations that are needed to change the parent cosine function to y = 0.35×cos(8(x-π/4)) are:

vertical stretch of 0.35horizontal compression of period of [tex]\pi/4[/tex]phase shift of [tex]\pi/4[/tex] to right

How does transformation of a function happens?

The transformation of a function may involve any change.

Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.

If the original function is [tex]y = f(x)[/tex], assuming horizontal axis is input axis and vertical is for outputs, then:

Horizontal shift (also called phase shift): Left shift by c units: [tex]y = f(x+c)[/tex]earlier)Right shift by c units: [tex]y = f(x-c)[/tex]output, but c units late)Vertical shift:Up by d units: [tex]y = f(x) + d[/tex]Down by d units: [tex]y = f(x) - d[/tex]Stretching:Vertical stretch by a factor k: [tex]y = k \times f(x)[/tex]Horizontal stretch by a factor k: [tex]y = f(\dfrac{x}{k})[/tex]

For this case, we're specified that:

y = cos(x) (the parent cosine function) was transformed to [tex]y = 0.35\cos(8(x-\pi/4))[/tex]

We can see its vertical stretch by 0.35, right shift by [tex]\pi/4[/tex]horizontal stretch by 1/8

Period of cos(x) is of [tex]2\pi[/tex] length. But 1.8 stretching makes its period shrink to [tex]2\pi/8 = \pi/4[/tex]

Thus, the transformations that are needed to change the parent cosine function to y = 0.35×cos(8(x-π/4)) are:

vertical stretch of 0.35horizontal compression to period of [tex]\pi/4[/tex] (which means period of cosine is shrunk to [tex]\pi/4[/tex] which originally was [tex]2\pi[/tex] )phase shift of [tex]\pi/4[/tex] to right

Learn more about transformation of functions here:

https://brainly.com/question/17006186

Answer 2

Answer: vertical compression of 0.35, horizontal compression to a period of StartFraction pi Over 4 EndFraction, phase shift of StartFraction pi Over 4 EndFraction units to the right

Step-by-step explanation:


Related Questions

Describe how to use the formula C = StartFraction 5 Over 9 EndFraction (F minus 32) to find the temperature in degrees Celsius if the temperature is 86°F. What is the temperature in degrees Celsius?

WRITEN RESPONE

Answers

Answer:

30°C

Step-by-step explanation:

The Conversion Formula :-

F - 32 / 9 = C / 5

F is given to be 86.

Substitution

86 - 32 / 9 = C / 554 / 9 = C / 5C = 6 x 5C = 30°C

Answer:

Sample Response: To find the celsius temperature, substitute 86 for F in the formula. Then, use the order of operations to simplify. Substract 32 from 86. Then multiply 5 9 by 54 to get 30°C.

Step-by-step explanation:

Is this a function pls someone tell me

Answers

Answer:

No, it is not a function.

Step-by-step explanation:

In a function, each element in the domain must correspond to exactly one element in the range. That is not the case here.

CAN SOMEONE PLEASE HELP ITS DUE TODAY

Answers

Answer:

n = 6

Step-by-step explanation:

[tex] \frac{ {5}^{n} \times {5}^{3} }{ {5}^{7} } = {5}^{2} \\ \\ \implies \: \frac{ {5}^{n + 3} }{ {5}^{7} } = {5}^{2} \\ \\ \implies \: {5}^{n + 3 - 7} = {5}^{2} \\ \\ \implies \: {5}^{n - 4} = {5}^{2} \\ \\ \implies \:n - 4 = 2 \\ \\ \implies \:n = 4 + 2 \\ \\ \implies \:n = 6[/tex]

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: \frac{5 {}^{n} \times {5}^{3} }{5 {}^{7} } = {5}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \frac{5 {}^{n + 3} {}^{} }{5 {}^{7} } = {5}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:5 {}^{n + 3 - 7} = {5}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:5 {}^{n - 4} = {5}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:{}{n - 4} = {2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:n = 2 + 4[/tex]

[tex]\qquad \sf  \dashrightarrow \:n = 6[/tex]

Hence, value of n is 6

Specific gravity will tell you a fraction of how much
object will be below the water while its floating. For
instance, ice has density of 0.92 g/ml so its specific gravity
0.92, what does 0.92 indicate?

Answers

The value 0.92 indicates the relative density of the ice.

Data;

Density = 0.92g/mlSpecific gravity = 0.92

Specific Gravity

Specific gravity of a substance is defined as the relative density of substance. This can be further said to be the ratio between the density of a substance to the density of the reference substance.

mathematically;

[tex]relative density = \frac{density of substance}{density of reference}[/tex]

The value 0.92 indicates the relative density of the ice.

Learn more on specific gravity here;

https://brainly.com/question/14932758

help me on both questions as attached below.
Also it's workings on how to get that if possible

Answers

Answer:

a) 160km

b) it will take 3.2 hours or 192 minutes or 3 hours and 12 minutes

Step-by-step explanation:

a) d=speedxtime

so, 64x2. 5=160km

b) time=d/s

so, 160/50

it will take 3.2 hours or 192 minutes or 3 hours and 12 minutes

Make Sense and Persevere Ben walked from
the restaurant to the bus stop. Then, he took
the bus to the stadium. If he took the shortest
route, how many blocks did Ben travel? Note
that Ben can only travel along the grid lines.

Answers

Step-by-step explanation:

for the trip restaurant to the bus stop he had to go 2 blocks down and 3 blocks to the left - in total 5 blocks.

for the trip from the bus stop to the stadium he had to go 3 blocks to the left and then 8 blocks up. in total 11 blocks.

so, the whole trip took 5 + 11 = 16 blocks.

The point I(–4, –1) is rotated 90 counter-clockwise about the origin. What is the image of I?


a. I(4, –1)
b. I(–1, –4)
c. I(1, –4)
d. I(4, 1)

Answers

Answer:

I(1, -4)

Step-by-step explanation:

(-4, -1) is in Quadrant 3 where x and y are negative

when it's rotated 90 ccw it will become in Quadrant 4 where x is positive and y is negative

and also the values of x and y switches

so the answer will be I(1, -4)

How to find the area of a half of a square?

Answers

Answer:

if u make the square half by its midpoint then we can find its area by using the area of rectangle.

if u make the square half from the diagonal we can find its area by using area of triangle.

how does the number if possible outcomes of a single event help you determine the total number of possible outcomes of a compound event?

Answers

The possible outcomes of an event is the sample space

The product of the sample spaces of the single events determines the total number of possible outcomes of a compound event

How to determine the possible outcomes?

Assume that the number of outcomes of n single events are:

[tex]n_1[/tex], [tex]n_2[/tex], [tex]n_3[/tex],........ [tex]n_n[/tex]

When these single events are combined, they form a compound event.

The number of outcomes of the compound event is the product of the number of outcomes of the single events.

i.e.

[tex]Outcomes = n_1 * n_2 * ......... n_n[/tex]

Hence, the product of the sample spaces of the single events determines the total number of possible outcomes of a compound event

Read more about outcomes at:

https://brainly.com/question/24756209

What is the area of triangle ABC?

Answers

Answer:

200 sq units

Step-by-step explanation:

As you might know, 3 angles of a triangle adds up to 180*. Since you already know the angles are 60* there is one more 60*. So by this you know that all the sides are equal.

As the given states, one side is 20. So following the standard way to get the area of a triangle b*h/2; 20*20 = 400 / 2 = 200 sq units

On Tuesday afternoon at camp, Walter did archery and sailing before dinner. He spent 1 hour at archery and 1 hour and 20 minutes sailing. Sailing ended at 2:30 P.M. when it was time for dinner. What time did archery start?

Answers

Answer:

12:10

Step-by-step explanation:

1 hour and 20 minutes sailing- sailing ended at 2:30 pm when it was time for dinner.

For this, you simply have to subtract nd hour and 20 minutes from 2:30:

That is 1:10 pm.

Then, Walter spent an hour doing archery, so you take an hour off- which turns it back to 12:10 pm.

or 10 minutes after noon.

Thus, Archery started at 12:10 pm

Hope this helps, brainliest is always appreciated! :)
Have a nice day! cx

~Mitsuna

ABCD is an irregular quadrilateral. The sum of all the interior angles is 360 degrees. What is the measure of angle D?

A. 60°
B. 120°
C. 180°
D. Need more information
please hurry! first CORRECT answer gets brainliest! :)

Answers

Answer:

D. Need more information

Step-by-step explanation:

The given information is not sufficient to determine each angle measure since the quadrilateral is irregular.

It would be good to see the picture at least.

Possible options are A or B but we can't confirm without additional detals, option C can't be a correct choice as 180° represents a straight line.

The roof of Sally’s house is a triangular prism. The angle at the top of this roof is a right angle and the measure of one of the interior angles is 45°. What is the measure of the unknown angle?

A. 45°
B. 55°
C. 35°
D. 25°

Answers

Answer: A

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees, so the unknown angle is 180-90-45=45 degrees.

Answer:

a

Step-by-step explanation:

Which value for x makes this inequality true?



−5>x

Answers

hello!

This inequality says the following:-

-5>x

negative 5 is greater than x, which means x is less than -5:

x<-5

Now, Which values make this inequality true?

Since x is less than -5, then numbers less than -5 will make this inequality true.

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)

I need more help it would be so nice + it is 100 points.

Answers

Answer:

8/3 < 8/2

D

Step-by-step explanation:

8/3 = 2.67

8/2 = 4

So, when fractions have equivalent (same) numerators, the one with the lesser denominator is the greater fraction.

There is more left if 8 is divided by 2 than when it is divided by 3

[Answer]8/3 < 8/2

[Answer] D

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

Answer:

8/3 < 8/2

Step-by-step explanation:

D. When fractions have equivalent numerators, the one with the lesser denominator is the greater fraction.

8/2 = 4

8/3 = 2.667

Please help me! There is a picture.

Answers

Answer:

a is the write ansere

Step-by-step explanation:

please mar me brainliest

Answer:

A

Step-by-step explanation:

I'm 95.1% sure

Myra swims 3/5 of a mile father than luke. If luke swims 2 4/10 miles, how mnay miles does myra swim?

Answers

Answer:

Myra swims for 3 miles.

Step-by-step explanation:

3/5 = 6/10

2 4/10 + 6/10 = 3

prove that
[tex] \frac{1 }{ \sin(x) \times \cos(x) } [/tex]
equals 2csc2x

Answers

Answer:

See below for proof

Step-by-step explanation:

[tex]2csc(2x)\\\\2[\frac{1}{sin(2x)}]\\ \\2[\frac{1}{2sin(x)cos(x)}]\\ \\\frac{2}{2sin(x)cos(x)}\\ \\\frac{1}{sin(x)cos(x)}[/tex]

Thus, the identity is proven

a small movie theater sells children's tickets for $4 each and adult tickets for $10 each for an animated movie. The theater sells a total of $338 in ticket sales.

(c) show that after multiplying both sides of the equation in (a) by 2, c=52 and a=18 is still a solution to this equation.

Equation: 4c+10a=388

Answers

Answer:

Proved below!

Step-by-step explanation:

Start by multiplying both sides by 2 (as said in the question):

[tex]\implies 4c + 10a = 388[/tex]

[tex]\implies 2(4c + 10a) = 2(388)[/tex]

[tex]\implies 8c + 20a = 776[/tex]

Substitute the solution(s) in the equation:

[tex]\implies 8(52) + 20(18) = 776[/tex]                                                                   (c = 52; a = 18)

[tex]\implies 416 + 360 = 776[/tex]

[tex]\implies \bold{776 = 776 \ \ \ (Proved)}[/tex]

Answer:

Let c = number of children's tickets sold

Let a = number of adults tickets sold

Given:

Cost of child ticket = $4Cost of adult ticket = $10Total ticket sales = $388

⇒ 4c + 10a = 388

Multiply both sides of the equation by 2:

⇒ 2(4c + 10a) = 2 × 388

8c + 20a = 776

If c = 52 and a = 18, substitute these values into the equation and solve:

⇒ 8(52) + 20(18)

⇒ 416 + 260

776

As 776 = 776, this proves that c = 52 and a = 18 is a solution to this equation.

List the first five natural numbers.

Answers

[tex]1, 2, 3, 4, 5 [/tex]

Answer:

The first five natural numbers are 1, 2, 3, 4, and 5.

Step-by-step explanation:

Natural numbers, which include all positive integers from 1 to infinity, are a component of the number system. Natural numbers, which do not include zero or negative numbers, are also known as counting numbers. They are only positive integers, not zero, fractions, decimals, or negative numbers, and they are a component of real numbers. Numbers may be found everywhere around us, used for counting items, representing or transferring money, calculating temperature, telling time, and so on. "Natural numbers" refer to the numbers that are used to count items. When counting items, we may say 5 glasses, 6 books, 1 bottle, and so on. A collection of all whole integers except 0 is referred to as whole numbers. These figures play an important role in our daily actions and communication.  Natural numbers are those that can be counted and are a portion of real numbers. Only positive integers, such as 1, 2, 3, 4, 5, 6, etc., are included in the set of natural numbers. Non-negative integers are also known as natural numbers (all positive integers). 23, 56, 78, 999, 100202, and so forth are only a few instances. A collection of elements is referred to as a set (numbers in this context). In mathematics, the set of natural numbers is expressed as 1,2,3,... 1 is the lowest natural number. We know that the smallest element in N is 1 and that we can talk about the next element in terms of 1 and N for any element in N. (which is 1 more than that element). Two is one greater than one, three is one greater than two, and so on. The natural numbers from 1 to 100 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99 and 100.

Find the surface area of the figure. Round to the nearest tenth if possible.​

Answers

Area of square base:
13 x 13 = 169
Area of triangular sides:
B x H/2
13 x 16/2 = 104
104 x 4 = because there are 4 triangular sides of the figure = 416
416 + 169 = 585in^2
590in^2

If I have 30 blue balls and 10 red balls and 50 green balls How many balls to I have in all? 30 points.

Answers

Answer:

90 balls

Step-by-step explanation:

simply add them

Answer: 90 balls

Step-by-step explanation:

30 + 10 = 40

40 + 50 = 90.

Determine the ratio of the note B to middle C.
a. 1.8877
b. 1.7983
C. 1.9348
d. 1.3654

Answers

C
reasoning because it just makes sense

Answer:

To determine the ratio of the note B to middle C, we need to find the frequency of note B and then divide it by the frequency of middle C.

The frequency of note B is 493.9 Hz, and the frequency of middle C is 261.6 Hz.

Therefore, the ratio of the frequency of note B to middle C is:

493.9 / 261.6 = 1.8877

So the answer is (A) 1.8877

Which ordered pair is a solution of...
x-y = -3
2x+y = 0

a. (-3,0)
b. (-1,2)
c. (0,0)
d. (1,4)

Answers

It’s B
Explanation: because it’s B

Answer:

the answer to your question is B

HELP ME PLS!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

Look at where the two lines intersect.

What is the area of the following figure?

Answers

Answer:

A=31.5cm squared

Step-by-step explanation:

A=lw

A=(9)(3.5)

A=31.5

therefore A=31.5cm squared

Answer:

31.5 cm

Step-by-step explanation:

Just multiply the length and width

help pls i cant figure this out

Answers

Answer:

answer is 1 metre

Step-by-step explanation:

We can assume the width be 'x'

Now we would get the equation

(2x+10)(2x+14)=192

on solving we get x=1

Please help me on this
(Look at the Photo)

Answers

The answer is: -4/a^2 b^2

Question 3 (1 point)
Which is the explicit rule for the geometric sequence?
10, -30, 90, -270, ...

Answers

Answer:

The rule for this question should be an=10*(-3)^(n-1)

Step-by-step explanation:

Because 10, -30, 90, and -270 divide (for example -30/10, 90/-30 and -270/90 which means the ratio equals -3) To find the ratio, you must divide by its previous term.

Then, the equation for the ratio would be a1 (first term in the sequence) multiplied by the ratio, then to the power of the number subtracted by 1. an=a1*r^(n-1) This is the formula to find the nth term of a geometric sequence.

Hope this helped!

Can someone please help with this? I'll give brainliest. I don't understand this... or the explanation it gives... the page before was just teaching how to solve simple problems to put on graphs what's an asymptote?

Answers

Step-by-step explanation:

Hello!
I'd love to help you learn.
I see the formula attached is [tex]4*(\frac{1}{2})^{x} =-2^{x}-1\\[/tex]

This problem is explaining you to graph, since algebraically it's a little more harder to try and find the solution.

Since they're both equal to each other, we can assign a variable like y, so we can make them into two individual lines.

You can use your scientific calculator to graph lines like this, or otherwise there are online sources (Desmos helps alot!) which can graph two equations as so.

Now that we have the corresponding system of equations, we can graph both.

[tex]y=4*(\frac{1}{2})^x\\ y=-2^x-1[/tex]
Let's graph them on Desmos on the same plane. The answers are attached. Red is the first equation, blue is the second.

What determines the solutions of a system of equations?

-No solution: the two lines will never intersect/does not intersect ever, which means that there are no set point where it satisfies both equations.

-One solution: the two lines intersect once and only once, meaning that there is that one set point where the x and y values both satisfy both equations.

-Multiple solutions: the two lines will intersect each other multiple times, meaning there are multiple set points where the x and y values satisfy both equations. You usually will not have to worry about these problem sets.

-Infinite solutions: the two lines are both the same line, which means every x and y value will satisfy both equations.

Looking at the solution attached, we can see that there are no places where a system of equations intersect, therefore ruling it that they have no solution.

And to answer your last question, an asymptote is a imaginary line in which a equation can approach closely and closely, but will never touch that imaginary line. Think of a line at y=[tex]\frac{1}{x}[/tex]. When you graph it, you can see that the two lines never ever EVER intersect the y-axis, or x=0; giving that x=0 as a vertical asymptote.

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