What are the period, phase shift, and vertical shift of y = csc[3(x 4)] 6?

Answers

Answer 1

The period of the given function is 2π/3, the phase shift is 4, and the vertical shift is 6 units.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a trigonometric function:

y = csc[3(x+ 4)]+ 6

Every each revolution of 2π the function repeats the same value for every x.

The period of the original function is 2π

For the given function plug 2π

y = csc[3(x+ 4)+2π]+ 6

y = csc[3(x+ 2π/3+4)]+ 6

The period of the function will be 2π/3

From the function, the phase shift = 4

And vertical shift = 6

Thus, the period of the given function is 2π/3, the phase shift is 4, and the vertical shift is 6 units.

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Answer 2

Option 3

Step-by-step explanation:

Related Questions

Write the ratio 12:16:8 in simplest form

Answers

Answer:

[tex]\huge\boxed{\bf\: 3:4:2}[/tex]

Step-by-step explanation:

In the given ratio, [tex]12:16:8[/tex], we can see that all the 3 numbers in ratio are multiples of 4. Hence the lowest common multiple (LCM) of the given ratio = 4.

Now, let's divide the 3 numbers by 4.

[tex]12:16:8\\= \frac{12}{4}:\frac{16}{4}:\frac{8}{4}\\=\boxed{\bf\: 3:4:2}[/tex]

This ratio cannot be further simplified as they don't have any common multiples except for 1.

So, the simplified ratio = [tex]\boxed{\bf\: 3:4:2}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

PLEASEEEEEE HELPPPPIE WELPIEEE

Answers

Answer:

Step-by-step explanation:

Answer:

The answer would be A. Hope this Helps! :)

Step-by-step explanation:

Verify and show work

csc x - cos x • cot x = sin x

Answers

Answer: The answer is (d) ⇒ cscx = √3

Step-by-step explanation:

∵ sinx + (cotx)(cosx) = √3

∵ sinx + (cosx/sinx)(cosx) = √3

∴ sinx + cos²x/sinx = √3

∵ cos²x = 1 - sin²x

∴ sinx + (1 - sin²x)/sinx = √3 ⇒ make L.C.M

∴ (sin²x + 1 - sin²x)/sinx = √3

∴ 1/sinx = √3

∵ 1/sinx = cscx

∴ cscx = √3

Michael is finding the area of parallelogram abcd. to do this, he follows the steps in the table. step 1 draw a rectangle around parallelogram abcd. step 2 find the area of the rectangle. step 3 find the area of the four right triangles created in the corners of the rectangle. step 4 subtract the area of the right triangles from the area of the rectangle. to solve the problem using these steps, what are the dimensions of the rectangle he should draw? on a coordinate plane, parallelogram a b c d has points (1, negative 1), (3, 2), (1, 3), and (negative 1, 0). 2 units by 4 units 3 units by 2 units 4 units by 4 units 5 units by 6 units

Answers

The dimensions of the rectangle Michael should draw is given by: C. 4 units by 4 units.

What is a rectangle?

A rectangle can be defined as a type of quadrilateral in which its opposite sides are equal and all the angles formed are right angle.

In this scenario, the rectangle would be drawn to touch the parallelogram at its four vertices (A, B, C, and D). Also, this would lie outside the parallelogram with the formation of four (4) right-angle triangles.

Therefore, the dimensions of the rectangle Michael should draw is given by:

Dimension = 4 × 4 units.

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Answer:

option C

Step-by-step explanation:

Two stores have movies to rent.
• The first store charges a $10.50-per-month membership fee plus
$1.50 per movie rented.
• The second store has no membership fee but charges $2.50 per movie
rented.
What is the minimum number of movies a person would need to rent in a month
for the first store to be a better deal?

Answers

Answer:

4 movies because ďòê ánş vianna sausage says so i dont know im barely passing math myself

4. Sally earns $1,300 a week in gross income. What is Sally's gross income for 1 year? (years have
52 weeks in them...)

Answers

Answer:

67600

Step-by-step explanation:

1300x52=67600

Answer:

$67,600

Step-by-step explanation:

1300 x 52 = 67600

Students were asked how they traveled to school. The two-way relative frequency table
shows the results. Write answers as decimals rounded to the nearest hundredth.
Method
School
Car Bus Other TOTAL
Middle School 0.19 0.15 0.11
0.45
High School
0.33 0.13 0.09
0.55
TOTAL
0.52 0.28 0.20
1.00
What is the joint relative frequency of high school students who ride the bus?
The joint relative frequency of high school students who ride the bus is

Answers

Using the given proportions, it is found that the joint relative frequency of high school students who ride the bus is of 0.28.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The proportions relative to riding the bus in this problem are of 0.15 for middle school and 0.13 for high school, for a total of 0.28, hence, the joint relative frequency of high school students who ride the bus is of 0.28.

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What is the sum of the two
expressions?

(4/5x+13) - (5/8x − 6)

Answers

Answer: 7/40x + 19

Step-by-step explanation:

---Distribute the negative sign

4/5x + 13 - 5/8x + 6

---Get common denominators on the fractions

32/40x + 13 - 25/40x + 6

---Combine like terms

(32/40x - 25/40x) + (13 + 6)

7/40x + 19

Answer: 7/40x + 19

Hope this helps!

What is the measure of angle R?

Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.

Answers

Answer:

22.62 degrees

Step-by-step explanation:

Right triangle

you can pick cosine or sine to calculate angle r

sin r = opposite leg/ hypotenuse = 5/13

arcsin(5/13) = 22.62 degrees

cos r = 12/13

r = arccos(12/13) = 22.62 degrees

Can somebody help me find the area of this composite shape

Answers

Alone, this shape cannot have the area solved in one step. So, you must break it up into multiple pieces.

For this, we can break it up into a rectangle, and a right triangle.

The area formula for a rectangle is [tex]area = l*w[/tex]

The area formula for a right triangle is [tex]area = \frac{1}2} b*h[/tex]

To find the area of the rectangle, multiply 14 * 18 = 252 m^2

To find the length of the triangle, subtract 20 - 14 = 6

To find the height of the triangle, subtract 18 - 11 = 7

So, it is [tex]\frac{1}{2} 6*7[/tex] = 21 m^2

21 + 252 = 273 meters squared

Hope this helps, feel free to ask any questions

- Jeron :)

Please help me i need help few

Answers

Answer:
Angle A is right
Angle B is obtuse
Angle C is acute
Angle D is right

Explanation:
Right angles are 90°
A cute angles are anything less than 90°
Obtuse angles are anything larger than 90°

I need this done fast please

Answers

hope this helps :)

............

What percentage of people like
mushrooms?
Response Frequency
Like
19
Dislike
31

Answers

25%

Hope this is right

In the figure below lines p and q are are parallel. What do you notice?

35 points

Answers

Answer:

∠1 and ∠8 are alternate exterior angles which is when two parallel lines are intersected by a transversal, then the exterior angles formed on either side of the transversal are (their measures are) equal.

Simple terms: 1 and 8 are the same angle

the area of paralellagram is 72 mm whats the height

Answers

The height of the parallelogram whose area is 72 mm² with a base of 9 mm is calculated as: 8 mm.

What is the Area of a Parallelogram?

The area of a parallelogram = base × height of the parallelogram.

Given the following:

Area = 72 mm²Base of parallelogram = 9 mmHeight = ?

9 × height = 72

Height of parallelogram = 72/9

Height of parallelogram = 8 mm.

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Pls help snaehdusjshdgydudjdjdhd

Answers

Answer:

17 games

Step-by-step explanation:

There are 68 games in total. Assuming that the number of games watched are equally divided between 4 people, then each person watches 68/4 = 17 games.

Evaluate the expression is 4*3^z when c is 2

Answers

Hey there!

ASSUMING….

4 * 3^c

= 4 * 3^2

= 4 * 3 * 3

= 12 * 3

≈ 12 + 12 + 12

≈ 24 + 12

= 36

Therefore, the answer should be: 36

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

if 1 yard = 3 feet and 1 mile = 5.280 feet how many yards are there in 2 miles .

Answers

Answer:

3520

Step-by-step explanation:

Because 3 feet are equal to a yard and 1760 yards are in one mile

So.. just add 1760+1760 and thats the equivalent of 2 miles

My friends and I are buying a total of 50 Howdy
cupcakes. I'd like to order 20% of the total.

Answers

Answer: 10 Howdy cupcakes

Step-by-step explanation:

A percent divided by 100 becomes a decimal.

[tex]20\%\; / \;100 = 0.2[/tex]

Now, we will multiply the total by 0.2 to find 20%.

[tex]50 * 0.2 = 10[/tex]

You will be ordering 10 cupcakes.

A group of friends were working on a student film. They spent $504 on props, which was 42% of their total budget. What was the total budget for their student film?

Answers

the total budget for their film was $1200

Jamar read 252 pages in 3/4 of an hour. At what rate, in pages per hour, did he read?

Answers

Answer:

336 pages per hour (pretty fast)

Step-by-step explanation:

It's hard to explain for me (I'm just doing my best to answer it) but I got the answer from estimating values with a calculator. The proof of it as an answer can be seen from this equation: 336 * 0.75 (or 3/4) = 252. It's pretty late for me so I'm having a hard time reverse engineering the equation. Hopefully this still helps though. :)

Answer:

336 pages per hour

Step-by-step explanation:

Given rate is

252 pages per 3/4 of an hour

Divide both numbers by 3/4 to get the unit rate per hour

252 ÷ 3/4 = 252 × 4/3 = 1008/3 = 336

sam borrows 5500 at a rate of 12% interest per year what is the amount due at the end of five years if the interest is compounded continuously

Answers

Answer:

$ 10 021 . 65

Step-by-step explanation:

The equation for continuous compounding is e^(i * t)

where i = decimal yearly interest t = years

FV = 5500 e^(.12 * 5) = 10 021 .65

Is it possible to draw a triangle with side
lengths 6, 3, and 5?

Answers

Yes..

Add 2 sides together and if it’s larger than the 3rd side it’s possible

6 + 3 = 9, which is larger than 5

3 + 5 =8 which is larger than 6

6 + 5 = 11 which is larger than 3

Answer:

YES

Step-by-step explanation:

The sides of a triangle rule asserts that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side.

6+3=9

6+5=11

3+5=8

yes it is possible

Rachel found that 20 out of 48 cars that entered a parking lot were red. What is the experimental probability that the next car that comes in is red? What is the experimental probability that the next car that comes in is not red?

Answers

In the observation of Rachel the experimental probability of the next car which comes in is red is 5/12 and the experimental probability of the next car which comes in is not red is 7/12.

What is experimental probability?

Experimental probability of an event is the ratio of number of favorable outcome which appeared while conducting an event to the total number of outcome of that event is occurred.

Rachel found that 20 out of 48 cars that entered a parking lot were red. In this observation, the probability of a car to be red is,

[tex]P=\dfrac{20}{48}\\P=\dfrac{5}{12}[/tex]

Thus, the experimental probability that the next car that comes in is red is 5/12.

The experimental probability that the next car that comes in is not red is,

[tex]P^{-1}=1-\dfrac{5}{12}\\P^{-1}=\dfrac{12-5}{12}\\P^{-1}=\dfrac{7}{12}[/tex]

Hence, In the observation of Rachel, the experimental probability of the next car which comes in is red is 5/12 and the experimental probability of the next car which comes in is not red is 7/12.

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Due this is linear relationships and slope

Answers

Answer:

6x+4 C

Step-by-step explanation:

Because the y-axis is +4

In the figure, ABCD is a cyclic quadrilateral in which AC and BD are its diagonals. If ∠DBC = 55° and ∠BAC 45°, Find ∠BCD.