Determine the amplitude or period as requested. Period of y = - 1/3 * sin 2x

Answers

Answer 1

Answer:

[tex]Period = \pi[/tex]

Step-by-step explanation:

Given

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

Required

The period

A sine function is represented as:

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

Where

[tex]Period = \frac{2\pi}{B}[/tex]

By comparing:

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

[tex]B = 2[/tex]

So, we have:

[tex]Period = \frac{2\pi}{2}[/tex]

[tex]Period = \pi[/tex]

Hence, the period of the function is [tex]\pi[/tex]


Related Questions

Find the volume of the pyramid.

Please Help!

Answers

Answer:

144cm

Step-by-step explanation:

Just search it up lol

One hundred forty four centimeters

Estimate 719 – 274. Round each number first.

Answers

☁️Answer☁️

719 rounded up equals 720
274 rounded down equals 270

720-270= 450

Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan's father and paternal grandfather were allergic to penicillin, Nathan has a 75% chance of having the same allergy. The doctor performed a skin test to see whether Nathan would react to it. The test is 98% accurate. If the test predicts that Nathan is not allergic to penicillin, what is the probability after the test that Nathan is not allergic to the drug?

A) 0.1135

B) 0.2450

C) 0.9423

D) 0.9932​

Answers

Nathan has a 25% chance of NOT being allergic to the drug. And then that 25% is 98% accurate so:

25% x 98%

0.25 x 0.95 (changed to decimals)

= B) 0.2450

Answer:

this is the answer!!

Step-by-step explanation:

For what value of z would the following system of
equations be true for all real integers?
3x-2y = 14
-12x+8y = 8z

Answers

9514 1404 393

Answer:

  z = -7

Step-by-step explanation:

The equations will be true for all real integers when they are a dependent set. That will be the case when the second equation is a multiple of the first.

Already, we observe that the ratios of x- and y-coefficients are -4:

  -12/3 = -4

  8/-2 = -4

The equations will be dependent when the constants have that same ratio:

  8z/14 = -4 . . . . desired ratio

  8z = -56 . . . . . multiply by 14

  z = -7 . . . . makes the equations true for all real numbers

_____

Comment on the question

The system of equations can be made inconsistent (no solutions) or consistent & dependent (infinite solutions) by the choice of z.

However, integer solutions are limited to pairs of the form (2n+2, 3n-4) for integer values of n. The values of x and y are not "all real integers".

Consequently, we have interpreted the question to be asking for the value of z that will make the system of equations have an infinite number of solutions, including both rational and irrational, real and complex values of x and y. They cannot be made to be true for "all real integers" by any choice of z.

Answer:

z = -7 is the answer.

Step-by-step explanation:

#CarryOnLearning

SOLVE FOR X AND Y!!! DUE IN 2 HOURS!!!

Answers

Answer:

x = 5, y = 5

Step-by-step explanation:

The scale changes from 8 to x+y

to find the change in scale, use the bottom values.

2 + 3 = 5 | 1 + 3 = 4

5/4 = 1.25 (the scale)

8 * 1.25 = 10

x+y = 10

There are 2 possibilities for this, but I feel like it is possibility #1

1. x = 5, y = 5

2. x = 4, y = 6

Solution set no links please

Answers

I believe the answer should be 11/4, hopefully that works

I believe that the answer is 11/4. I hope this helps!

Helpppppp pleaseeeeeeee

Answers

Answer:

16 2/3

Step-by-step explanation:

If a triangle has a center of dilation at the origin and a scale factor of two. if point he was at(-2,-3) what would point A’ would be.

Answers

Answer: Second option.

Step-by-step explanation:

First it is important to remember the definition of Dilation.

A Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) and the Pre-Image (The original figure, before the transformation) have the same shape, but their sizes are different.

In this case you know that the triangle ABC is dilated by a scale factor of 2 with a center of dilation at the origin.

According to the exercise, the point C has these coordinates:

Therefore, in order to find the coordinates of C', you need to multiiply the coordinates of the point C by the scale factor 2.

Then, you get that the coordinates of the point C' are:

PLEASE HELP!
In the figure below, m∠R is 66°, and m∠T is 122°.


Note: Figure is not drawn to scale.


What is m∠Q?
A.
58°
B.
56°
C.
24°
D.
124°

Answers

Answer:

B. 56°

Step-by-step explanation:

We are given that m∠R is 66° and m∠T is 122°.

We can apply the supplementary rule since ∠S and ∠T are a linear pair. So, we can use ∠T to find ∠S through 180° - 122° = 58°.

Now, we can use ∠R and ∠S to find ∠Q.

66° + 58° = 124°

180° - 124° = 56°

Answer:

m∠Q is 56°.

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the two interior angles that are not adjacent to that exterior angle.

In this case, ∠T is an exterior angle of the triangle, and ∠Q and ∠R are the two interior angles that are not adjacent to ∠T.

So, the measure of ∠T is equal to the sum of the measure of ∠Q and the measure of ∠R.

Therefore, m∠Q is 56°.

Grandma baked 96 cookies and gave them to her grandchildren. One of the grandchildren, Cindy, received
c fewer cookies than she would have received had all of the cookies been evenly divided among the 8
grandchildren.
ining
How many cookies did Cindy receive?
Write your answer as an expression.

Answers

Answer:

12-c

Step-by-step explanation:

This is quite simple

We know grandma has made 96 cookies and IF all children 8 receive equal cookies

They would have 12 cookies each

Cindy got c less cookies

so we can say

12-c is what Cindy got

I guess grandma got hungry

Answer:

Step-by-step explanation:

98 = 8 = 12

cindy cookies = 12-c

help with this math assignment

Answers

A:
2)6x6=36
3)7x7=49
5)11x11=121
6)13x13=169
7)20x20=400


B:
1)8 5)2
2)10 6)0
3)9 7)5
4)4 8)12



In how many ways can 5 different novels, 4 different mathematics books, and 1 biology book be arranged on a bookshelf if: (a) The books can be arranged in any order? Your answer is: 3628800 (b) The mathematics books must be together and the novels must be together? Your answer is : 6 (c) The mathematics books must be together but the other books can be arranged in any order? Your answer is: 5040

Answers

Answer:

(a) 3628800 ways

(b) 17280 ways

(c) 120960 ways

Step-by-step explanation:

Given

[tex]Novels = 5[/tex]

[tex]Maths = 4[/tex]

[tex]Biology = 1[/tex]

[tex]Total = 10[/tex]

Solving (a): Arrangement with no restriction.

We simply count each book with no restriction. i.e. 10 books

So, the number of arrangement is:

[tex]Arrangement =10![/tex]

[tex]Arrangement =10*9*8*7*6*5*4*3*2*1[/tex]

[tex]Arrangement =3628800[/tex]

Solving (b): Maths book together and Novels together

First, arrange the 4 maths books as:

[tex]Maths = 4![/tex]

Next, arrange the 5 novels as:

[tex]Novels = 5![/tex]

Lastly, take the 4 maths book as [1], the 5 novels as [1] and the remaining [1] biology book.

So, we have: 3 books

Arrange 3 books, we have:

[tex]Books = 3![/tex]

Total arrangement is:

[tex]Total = 4! * 5! * 3![/tex]

[tex]Total = 4*3*2*1 * 5*4*3*2*1 * 3*2*1[/tex]

[tex]Total = 17280[/tex]

Solving (c): Maths book together

First, arrange the 4 maths books as:

[tex]Maths = 4![/tex]

Next, take the 4 maths book as [1], then the remaining 6 books (i.e. 5 novels and 1 biology)

So, we have: 7 books

Arrange 7 books, we have:

[tex]Books = 7![/tex]

Total arrangement is:

[tex]Total = 4! * 7![/tex]

[tex]Total = 4*3*2*1 * 7*6*5*4*3*2*1[/tex]

[tex]Total = 120960[/tex]

The lengths of a certain species of beetles are normally distributed with a mean of 1.9 centimeters and a standard deviation of 0.2 centimeters.

What is the z-score of a beetle of this species with a length of 2.38 centimeters?



Enter your answer in the box.


Enter your answer, rounded to the nearest tenth, in the box.

Answers

Answer:

The z-score of a beetle with a length of 2.38 centimeters is 2.4

Step-by-step explanation:

 

As we know,

z = (x - µ)/σ

x is the length of the beetle species.

µ is the mean length

σ is the standard deviation

Substituting the given values in above equation, we get

 

z = (2.38 - 1.9)/0.2

z = 0.48/0.2

z = 2.4

he first date went well. You are still dating the same person and still looking for a great person to spend your life with. You are cautiously moving forward with the relationship and know that if they are a great match, their likelihood of being kind to animals is 0.9 whereas their likelihood of being kind to animals if they are not a great match is 0.7. You see that your prospective spouse is kind to animals. What is the probability that they are a great match now?

Answers

Answer:

0.125 = 12.5% probability that they are a great match now.

Step-by-step explanation:

To solve this question, we need the probability of a person being a great match, which i will use 0.1.

This question is solved using conditional probability.

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Is kind to animals.

Event B: Is a great match.

Probability of being kind to animals:

0.9 of 0.1(Is a great match).

0.7 of 1 - 0.1 = 0.9(is not a great match). So

[tex]P(A) = 0.9*0.1 + 0.7*0.9 = 0.72[/tex]

Probability of being kind to animals and a great match:

0.9 of 0.1. So

[tex]P(A \cap B) = 0.9*0.1 = 0.09[/tex]

What is the probability that they are a great match now?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.09}{0.72} = 0.125[/tex]

0.125 = 12.5% probability that they are a great match now.

A rectangular swimming pool is 15 meters long, 11- meters wide, and 4-meters deep. What is its 2 2. volume? The volume is cubic meters.​

Answers

Answer:

the volume of the rectangular swimming pool is 660 meters cubic

Step-by-step explanation:

you multiply 15x11x4

what is the value of the expression below? (64^3)^1/6

Answers

Answer:

(64^3)^(1/6)

=(64)^(3×1/6)

=(64)^(1/2)

=(8^2)^(1/2)

=(8)^(2×1/2)

=8^1

=8

8 is the correct answer of your question...

Answer:

8

Step-by-step explanation:

Remember the phrase "power to a power means to multiply the exponents"

That is, if you have a number (call it x) raised to a power (call it b), and that whole expression is raised to a power (call it c), it's the same as that number  x raised to the power of the product of those two powers.

[tex](x^a)^b = x^a^b[/tex]

Here's an example showing to give some intuition behind this (and a way to derive the above formula if you forget it):

[tex]x^3 = x*x*x\\(x^3)^2 = (x*x*x)^2 = x*x*x*x*x*x = x^6[/tex]

Or more simply,

[tex](x^3)^2 = x^(^3^*^2^) = x^6[/tex]

So in this case:

[tex](64^3)^\frac{1}{6} = 64^(^3^*^\frac{1}{6}^) = 64^\frac{1}{2} = 8[/tex] (remember a number raised the to the power of 1/2 is the square root of the number; in this case, the square root of 64 is 8)

Harold can solve 25 math problems in 40 minutes. At that rate, how many minutes will it take Harold to solve 60 math problems?

Answers

25 problems in 40 minutes
60 problems in x minutes
25x=2400
x= 96
96 minutes

⚠️PLEASEEEEE HELPPPPPP !!!

Answers

Answer:

38

Step-by-step explanation:

I'm pretty sure its just the same

ABCD is a square and it's side is 16 cm long. What is the area of the shaded part?​

Answers

Answer:

I'm sorry I can't help because I don't know what part is shaded.  Note: Since a square has the same length for each side all the sides are 16 cm.

Area and Perimeter for WHOLE square:

A: 256 sq cm

P: 64 cm

In a display at a museum, two planets have volumes of 8 cubic inches and 27 cubic
inches. What is the ratio of their diameters?
2:3
413.5
2:9
4:13.5

Answers

Answer:

2:3

Step-by-step explanation:

V = 4/3*pi*r^3

Diameter = 2r

The ratio of diameters of the two planets has volumes of 8 cubic inches and 27 cubic will be 2/3.

What is Ratio?

A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other such that they should not be divisible.

The upper number is called as the numerator and the lower is called the denominator.

For example, 3/4 where 3 will be numerator and 4 will be denominator.

Given that the In a display at a museum, two planets have volumes of 8 cubic inches and 27 cubic.

Now volume of planets(sphere) = πD³/6 where D is diameter of sphere

So volume of first planet / volume of second planet ∝ (dia or first)³/(dia of second)³

⇒ V₁/V₂  ∝ (D₁/D₂)³

Given that V₁/V₂ = 8/27

So 8/27 =  (D₁/D₂)³

D₁/D₂ = 2/3

Hence, the ratio of diameters of two planets will be 2/3.

Learn more about Ratio here:

brainly.com/question/1504221

#SPJ2

What is the area of a rectangle with 4 1/3 length and 2 1/2 width?

Answers

2 would be the answer too this question

find the value f(-5)

Answers

Answer:

-9

Step-by-step explanation:

In triangle ABC, m∠A=(2x)∘, m∠B=(3x+1)∘, and m∠C=(3x−5)∘.
What is the value of x?

Answers

Answer:

x = 23

Step-by-step explanation:

A triangle contains 180°. So, simply create the equation m∠A + m∠B + m∠C = 180° and solve for x.

2x + 3x + 1 + 3x - 5 = 180

8x - 4 = 180

8x = 184

x = 23

The value of x in triangle ABC, where m∠A=(2x)∘, m∠B=(3x+1)∘, and m∠C=(3x−5)∘ is 23.

What is triangle angle sum theorem?

According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees.

In triangle ABC,

m∠A=(2x)∘, m∠B=(3x+1)∘, m∠C=(3x−5)∘.

As, the sum of all the angles of triangle is equal to the 180 degree. Thus,

[tex]m\angle A+m\angle B +m\angle C=180^o\\(2x)+(3x+1)+(3x-5)=180\\2x+3x+3x=180+5-1\\8x=184\\x=\dfrac{184}{8}\\x=23^o[/tex]

Thus, the value of x in triangle ABC, where m∠A=(2x)∘, m∠B=(3x+1)∘, and m∠C=(3x−5)∘ is 23.

Learn more about the triangle angle sum theorem here;

https://brainly.com/question/7696843

#SPJ2

If the given figure is rotated 180° around the origin, what are the new coordinates of point Z?


please I really need help with this.

Answers

Answer:

New coordinates of the point Z are (-6, 9)

Step-by-step explanation:

If a point (x, y) is rotated 180° about the origin, coordinates of the image point is given by the rule,

(x, y) → (-x, -y)

Coordinates of the vertex Z → (6, -9)

Following the same rule,

Z(6, -9) → Z'(-6, 9)

Therefore, coordinates of the new (image) point will be (-6, 9).

Find the values of x and y to make the equation true.
-2x + 61 = (-24y)i - 14

Answers

X= 75/2
Y=0
That is the answer to your question I used Photomath to help me

Sade used the two blocks pictured to build a tower. What is the TOTAL VOLUME of the two blocks for this entire tower? * ​

Answers

Answer: V=120

have an amazing day <3

Answer:what is the answer i dont understand

plz help

Amelia went shopping for a new camera because of a sale. The store was offering a 30% discount. What number should she multiply the prices on the tags by to find the price she would have to pay, before tax, in one step?

Answers

Amelia would have to multiply the number 7/10 on the price on the tags that she has to pay.

What is percentage?

Percentage is a part of the whole number. It is denoted by % sign.

1 %= 1/100.

Given that,

The discount on new camera bought by Amelia = 30%.

To find the number that Amelia should multiply to pay,

Let The required number be x,

and total price of the camera is 100%

So after discount the price of camera = 100 - 30 = 70%

Implies that,

100 × x = 70

x = 70 / 100

x = 7 / 10

So the required number is 7/10 that Amelia should multiply the price she would have to pay.

To know more about Percentage on:

https://brainly.com/question/24120406

#SPJ1

BC is included between?

Answers

Answer:C

Step-by-step explanation: goobaldy gock

Answer:

the answer is B not C you're welcome

what is equivalent to
(3x+1)(4x-1)

Answers

(3x+1)(4x-1)

3x+4x=7x
1-1=0

So

(3x+1)(4x-1) = 7x

I hope this helped and was right, have a nice day

WILL MARK BRAINLIEST IF FOTTEN RIGHT!!!

Answers

Answer:

A

Step-by-step explanation:

area = [tex]\pi r^{2}[/tex]

circumference = [tex]2\pi r[/tex]

[tex]r^{2} = 4\\\sqrt{r^{2}} =\sqrt{4} \\r = 2[/tex]

[tex]2\pi (2) = 4\pi[/tex] [tex]yd[/tex]

Other Questions
In 1859, Charles Darwin proposed that differential survival and reduction of individuals would produce changes in species population over time. In other words, the environment acting on variation of individuals within a population would result in an adaptation (an evolutionary process that results in morphological, physiological or behavioral changes at the population level and that increases the probability of the members of that population to survive and their reproductive success). Using a specific example, explain how natural selection explains the theory of evolution. Also include in your explanation and within your example, what are the 4 factors needed for natural selection to act What is a pronoun ?? help pls! I will mark u brainliest if its correct. but pls dont put one of those links.. ty FASTEST CORRECT ANSWER WILL GET BRAINLIEST+54 pts!! In a three-paragraph response, describe how the view of the bubonic plague has changed over time. Then, explain why this view has changed. What does the commander ask of Elena? Read this line from the text:Dogs also bring sweet, sweet bacteria into our homes. These bacteria help build our immune systems and make us healthier.Which of the following best explains the use of "sweet" to describe bacteria?A. The author really likes everything about dogs and thinks they are loving and kind.B. The author thinks bacteria is a good thing, but uses "sweet" to suggest it is extra special.C. The repetition of sweet suggests the opposite is true and the author dislikes bacteria.D. The use of "sweet" suggests the author thinks being healthy makes people kinder. pls help ! mr jones is painting a wall in his office. he has enough paint to cover 104 square feet . the wall he is painting is 12 feet wide and 9 feet long. Does he have enough paint to cover the wall Which triangle side lengths form a right triangle? Choose all that apply. 5, 6, 7 6, 8, 14 8, 15, 17 10, 12 15 15, 20, 15 16, 18, 20 How did Holodomor affect the people of the Ukraine? Holodomor means murder by starvation.No links please In the figure, angle D measures 71 and angle G measures 37. What is the measurement of angle A? If 24 apples represents 30% of her apple supply. How many total apples does Jasmine have? Please help!!How do I write the inversion of these questions in french1. Est-ce quil fair ses devoirs?2. Avec qui est-ce que tu tudies? Stock in Macy's costs $25.75 per share. Hector buys 200 shares of Macy'sthrough his broker who charges a commission of $25.75. How much did Georgepay in total to purchase the stock? HELP!!!Question 7 (2 points)What is the phenotype of the F1 generation? Given the function f(x)=2|x+6|-4,for what values of x is f(x)=6 Which of the following best characterizes both Taoism and Confucianism?Respect for the emperor.A strict set of rules for behavior.A belief in myths.A belief in all-encompassing and undefinable quality. Please help! I need help ASAP and the question is in the picture. Im giving 35 points! PLEASE HELP ASAP Can someone please help me with history. How is the suspense increased by Johnny getting hurt in chapter 6?1 He may turn against the other greasers.2 He is now considered a hero.3 His parents may finally disown him.4 He may be arrested for killing the Soc. In which nation did the U.S. support a dictatorship that was fighting communism?(brainlyest)