Identify how the graph is transformed from that of the parent function.
y = cot(x/5)
>
DONE
y=1/4tan(x)
DONE

Answers

Answer 1

The graph is transformed from that of the parent function by using the trigonometric relationship between tangent and cotangent function, dilation of the independent variable and vertical dilation.

How to comparent a parent function with a child function

Let be [tex]f(x) = \cot \frac{x}{5}[/tex] the parent function and [tex]g(x) = \frac{1}{4}\cdot \tan x[/tex] the child function. We can obtain the child function by applying the following three steps:

Relationship between tangent and cotangent functions: [tex]f'(x) = \frac{1}{f(x)} = \frac{1}{\cot \frac{x}{5} } = \tan \frac{x}{5}[/tex]Dilation of the independent variable by 5: [tex]f''(x) = f(5\cdot x) = \tan x[/tex]Vertical dilation by [tex]\frac{1}{4}[/tex]: [tex]g(x) = \frac{1}{4}\cdot f''(x) = \frac{1}{4}\cdot \tan x[/tex]

In consequence, the graph is transformed from that of the parent function by using the trigonometric relationship between tangent and cotangent function, dilation of the independent variable and vertical dilation. [tex]\blacksquare[/tex]

To learn more on functions, we kindly invite to check this verified question: https://brainly.com/question/5245372

Identify How The Graph Is Transformed From That Of The Parent Function.y = Cot(x/5)>DONEy=1/4tan(x)DONE
Answer 2

Answer: first is stretched horizontally, second is compressed vertically

Step-by-step explanation:


Related Questions

A student answered 42 problems on a test correctly and received a grade
of 70%. How many (total) problems were on the test, if all the problems
were worth the same number of points?

Answers

Answer:

Step-by-step explanation:

x is the number of questions on the test.

42/x = 70%

x = 42/70% = 42/0.70 = 60

The division property of equality could be used to solve which of the following equation

A. 5x=30
B. X/4=16
C. (X+2) (x-2)= 0
D. X+3=7
Please help me

Answers

the answer would be A

Answer:

A

Step-by-step explanation:

5x = 30

divide both sides by 5:

x = 6

least common denominator of 2/5 and 3/10

Answers

Least common denominator is 10

Nerissa has 5 pink bows 1 blue bow and 4 purple bows in a box. She will randomly choose 1 bow from the box. What is the probability Nerissa will choose a purple bow
A. 1/2
B. 2/5
C. 1/10
D. 3/5
I’ll mark brainliest

Answers

Answer: The probability is 2/5.

Step-by-step explanation: If there are 5 pink bows, 1 blue bow, and 4 purple bows, there are a total of 10 bows in the box. The probability of choosing a purple one is 4/10 (since there are 4 purple bows). 4/10 simplifies to 2/5.

The probability Nerissa will choose a purple bow is [tex]\frac{2}{5}[/tex].

Here Nerissa has 5 pink bows, 1 blue bow and 4 purple bows in a box.

She will randomly choose 1 box from the box.

What is Probability?  

The ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.

Now,

Total number of bows = 5 + 1 + 4 =10

Number of purple bow = 4

Probability to choose purple bow = [tex]\frac{Total number of purple bow}{Total number of bow }[/tex]

                                                   =   [tex]\frac{4}{10}[/tex]

                                                   =[tex]\frac{2}{5}[/tex]

So, probability to choose purple bow is 2/5.

Learn more about the Probability visit:

https://brainly.in/question/51087124

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Priya has 5 pencils, each x inches in length. When she lines up the pencils end to end, they measure 34.5 inches. Select all the equations that represent this situation.

Answers

Answer:

Step-by-step explanation:

You would have to divide 34.5 and 5 to be able to find out what each pencil measurement the answer is 6.9.

How would I prove KM = HM?
Given that GJ is the perp bisector of HK

Answers

Answer: See step by step

Step-by-step explanation:

Since GJ is the perpendicular bisector of HK it bisects HK and make J the midpoint of HK. Since J  is the midpoint we can construct a congruence statement of  KJ≅JH. Then we know in the diagram Angle MJK= 90°, becuase it form a ⊥ line so it is 90° that also means MHJ forms a 90 ° angles becuase they also form a ⊥ line. So that means KJM≅HJM because of transitive property(a=b, b=c, then a=c). Both triangles also include side MJ, so using the reflexitive property( a=a),They are congruent. Since we proved they have a two congruent sides, with a included angle in between them we can use the SAS theorem (Side-Angle-Side) to prove they are congruent. So ΔKMJ≅ΔHMJ Then KM=HM by CPCTC.

You are applying for graduate school at University A. In the past 42% of the applicants to this university have been accepted. It is also known that 70% of those students who have been accepted have had GMAT scores in excess of 550 while 40% of the students who were not accepted had GMAT scores in excess of 550. You take the GMAT exam and score 640. What is the probability that you will be accepted into the graduate school of university A

Answers

The answer is A7 or A14 because the are the same

The seller of a watch marked up the price by 30%, and the new price is $468.00. What was the watch’s original price before the markup?

Answers

Answer: I THINK SO 608.4

HOPE THIS HELPS

Raul used the steps shown below to solve the equation. In which step did Raul make a mistake?
5x-3(2x+7)=2x+9
Step 1: 5x-6x-21=2x+9
Step 2: -11x-21=2x+9
Step 3: -12x=30
Step 4: x=-30/12

A. Step 1
B. Step 2
C. Step 3
D. Step 4

Answers

I think it’s step 2 or 3 I’m not sur

Answer:The answer is B, step two

Step-by-step explanation:5x-6x equals to -1x

f(x) = 4+9x, find f(-3)

Answers

Answer:

R3EWS.

Step-by-step explanation:

What is the value of the 5 in 564,242?

Answers

500,000 is the answer for this

Answer:

500,000

Step-by-step explanation:

the value of 5 in the number 56242 is 500,000 or hundred thousand. to know the value of digit 5 in the number 564242 go to five the digit 5 and write zeroes after it.

have a wonderful  day

Consider the sample space given below.

A die is a cube with six sides on which each side contains one to six dots. Suppose a blue die and a gray die are rolled together, and the numbers of dots that occur face up on each are recorded. The possible outcomes of the sample space S are listed as follows, where in each case the die on the left is blue and the one on the right is gray.


S= {11, 12, 13, 14, 15, 16, 21, 22, 23, 24, 25, 26, 31, 32, 33, 34, 35, 36, 41, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 56, 61, 62, 63, 64, 65, 66}

Write the following event as a set.
The event that the numbers showing face up are the same.
E = ....................?
Compute the probability of E.

Answers

Answer:

1 / 6

Step-by-step explanation:

Probability is a measure of the likelihood of an event to occur. The probability for an event to occur is between 0 and 1.

The Probability of an event occurring is the ratio of the number of event in the sample space to the total number of possible outcomes.

The number of possible outcomes [n(S)] from rolling a blue die and a gray die is 36.

n(S) = 36

Let E be an event that the numbers showing face up are the same.

E = {11, 22, 33, 44, 55, 66}, n(E) = 6

The probability of E = P(E) = number event / number of possible outcomes =

P(E) = n(E) / n(S) = 6 / 36 = 1 / 6

What are the angles sizes

Answers

Answers:
(x+2) = 55 degrees

x = 53 degrees

the given is 72 degrees


Explanation:
A triangle always equals 180 degrees. It was given that one of the angle measures is 72 degrees. 180-72=108. Now I need to find the value of x. (x+2)+x=108. Solving this equation I get x=53. Substitute this back into the angle measures and u get the answers as stated above.

Y-21<85 help me pls
I don’t get this stuff lol

Answers

Answer:

it is y<106

Step-by-step explanation:

remember to add 85 and 21 together :)

Divide. Reduce the answer to lowest terms. 2/7 • 15/7

Answers

30/49
the fraction cant be reduced so the final answer is just 30/49

A production process is known to produce a particular item in such a way that 5 percent of these are defective. If two items are randomly selected as they come off the production line, what is the probability that both are defective (assuming that they are independent)

Answers

Answer:

0.0025 = 0.25% probability that both are defective

Step-by-step explanation:

For each item, there are only two possible outcomes. Either they are defective, or they are not. Items are independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

5 percent of these are defective.

This means that [tex]p = 0.05[/tex]

If two items are randomly selected as they come off the production line, what is the probability that both are defective

This is P(X = 2) when n = 2. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{2,2}.(0.05)^{2}.(0.95)^{0} = 0.0025[/tex]

0.0025 = 0.25% probability that both are defective

Elizabeth raises chickens and sells the eggs to a local supermarket. The supermarket pays $0.85 for every dozen eggs. How much money could Elizabeth expect to earn in a week if her chickens lay, on average, 51 dozen eggs per week?

Answers

Answer:

On average, Elizabeth will earn $43.35 per week if her chickens lay 51 dozen per week.

Step-by-step explanation:

0.85x

x represents how many dozens

0.85(51) = 43.35

A statistics student has a mean score of 92 in the first 3 tests. Suppose there are a total of 4 tests and all of them have equal weight. You can also assume that there is no extra credit in the last test. What is the best possible final average this student can get

Answers

Answer:

The best possible final average this student can get is 94.

Step-by-step explanation:

The average score is given by the sum of the scores of all tests divided by the number of tests.

In this question:

First three tests: Mean score of 92, so total score of 92*3 = 276

Best possible score, with 4 tests:

In the first three, the total is 276. The best possible score is with a grade of 100 in the fourth test. The score will be:

[tex]M = \frac{276+100}{4} = \frac{376}{4} = 94[/tex]

The best possible final average this student can get is 94.

PLEASE HELP i have to turn this at the end of the day! PLEASE DONT GUESS! :)

Answers

Answer:

x = 13, z = 184

Step-by-step explanation:

(14x-94) = 88

14x = 182

x = 13

z = 360 - 88*2 = 360 - 176 = 184

Answer:

x = 13; z = 92

Step-by-step explanation:

88 = 14x - 94

14x = 182

x = 13

180 = z + 88

z = 92

Given: 33 + 6p = 2(p-1) - 3p
Prove: p = -5

Answers

Answer:

Let us prove that p=-5

33+ 6p= 2p-2-3p33+6p= -1p-2 33+7p=-2 7p=-35 p=-5

33 + 6 x -5 = 2(-5 - 1) - 3 x -5

3 = 3

If there are 52 successful outcomes in a sample with a size of 80, what is the
sample proportion?
A. 0.36
B. 0.72
C. 0.52
D. 0.65

Answers

Answer:

D. 0.65

Step-by-step explanation:

Do 52/80 to get the answer which is D.

can someone solve this for me please, i really need help

Answers

Answer:

I sorted them by colors: red goes with red, blue with blue, purple with purple and brown with brown :))

Step-by-step explanation:

List two examples of words/phrases that describe the mathematical operation of multiplication.

Answers

Answer:

Multiplied, Group Addition

Step-by-step explanation:

Again, all I know of.

5. Mai attempted 40 free throws and was successful 25% of them. How many free throws did
she make?

Answers

Answer:

10 were successful

Step-by-step explanation:

40x25%=10

Answer:

10

Step-by-step explanation:

40*.25 = 10

A man borrowed $3500 from a bank for 6 months. The bank collected 7-1/2% simple interest on the date of maturity. How much did the man pay for use of the money and what was the amount he repaid the bank on the due date of the note

Answers

Answer:

$3762.50

Step-by-step explanation:

From the problem, we can see our initial loan is 3500. On the return date, the interest of the loan is collected 7.5%. To find out how much the man paid for the loan, we need to find out how much he paid in interest, which is the percentage of the interest converted to a decimal x the initial loan. We get $262.5, and then we need to pay back the interest plus the initial loan we borrowed from the bank, so we need to add those together to get:

$3762.50

What is the slope for a linear function that includes the points (2, -1) and (1, 1).
A. 2.
B. -2
C. 1/2
D. -1/2




PLZ HELP HURRY

Answers

B

If you need an explanation let me know!

Given f(x)= 5x®, what is the domain? O 5

Answers

25 is the answer I think

Answer:

all real numbers (D)

the range is y>= 0 (option B)

Step-by-step explanation:

the question isn't really clear, but assuming that it's f(x)=5x^6, the domain (or at least edge says the domain) is all real numbers. Next is y is greater than or equal to 0

hope this helps and you have a very nice day !! :)

Jabari owns 100 shares of Stock A and 45 shares of Stock B. For the past month, his stocks have been fluctuating inversely. Stock A decreased by m cents per share and Stock B increased by n cents per share. Which equation can be used to find the total change in value of Jabari's shares per month

Answers

Answer:

what hcomp10 said he is right

Step-by-step explanation:

Answer:

(100-m)+(45+n)

Step-by-step explanation:

100 -n and 45-m. You would have to add them together to get the amount of the shares.

42 % of what number is .21

Answers

Answer:

0.5

Step-by-step explanation:

0.21=42%

0.21/42=1%

0.005=1%

0.005 x 100 = 100%

0.5=100%

0.5

I NEED HELP PLEASE PLEASE HELP ME I WILL THANK YOU A LOT

Answers

Answer:

$8.50

Step-by-step explanation:

First, you would look at all the prices. If you have 8 tickets and they cost $62 after discount, what is the discount amount? That is 75 cents. Then, you would divide $62 by 8 tickets to get the price of each ticket. That would be $7.75 for each ticket. You would then add the discount of 75 cents to get the original price of $8.50 for each ticket.

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