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

Answers

Answer 1

Answer:

[tex]Period = 2\pi[/tex]

Step-by-step explanation:

Given

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

Required

Determine 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(x - \frac{1}{3})[/tex]

[tex]Bx = x[/tex]

So:

[tex]B = 1[/tex]

So, we have:

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

[tex]Period = \frac{2\pi}{1}[/tex]

[tex]Period = 2\pi[/tex]

Hence, the period of the function is [tex]2\pi[/tex]


Related Questions

Jerome is painting a rectangular toolbox that is 20 inches by 10 inches by 8 inches. and a tube of paint covers 300 square inches. What is the surface area? and how many tubes of paint should Jerome buy?

Answers

Answer:

He should buy 3 tubes of paint.

Step-by-step explanation:

20×10×8=880

880÷300=2.93

2.93≈3

So, Jerome should buy 3 tubes of paint.

Brainliest please!

Find the value of x in the triangle shown below
a.x=28
b.x=56
c.x=28
d.x=20

Answers

Answer:

D.

Step-by-step explanation:

Answer:

[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex]

by using Pythagoras law:

h²=p²+b²

x²=16²+12²

x=√400

x=20 units.

Please help. I NEED GOOD GRADES

Answers

Answer:

The circle should be open and the arrow should go the other way.

This is the correct answer your welcome

15–80÷4^2×2 as a expression using the order of operations.

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{Do PEMDAS}[/tex]

[tex]\large\text{Parentheses}[/tex]

[tex]\large\text{Exponents}[/tex]

[tex]\large\text{Multiplication}[/tex]

[tex]\large\text{Division}[/tex]

[tex]\large\text{Addition}[/tex]

[tex]\large\text{Subtraction}[/tex]

[tex]\mathsf{15 - 80\div4^2\times2}[/tex]

[tex]\mathsf{4^2}[/tex]

[tex]\mathsf{= 4\times 4}[/tex]

[tex]\mathsf{= \bf 16}[/tex]

[tex]\mathsf{15 - 80\div16\times 2}[/tex]

[tex]\mathsf{80\div16}[/tex]

[tex]\mathsf{= \bf 5}[/tex]

[tex]\mathsf{15 - 5\times2 }[/tex]

5 × 2 = 10

[tex]\mathsf{15 - 10}[/tex]

[tex]\mathsf{= \bf 5}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 5}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Please help, I will give brainliest!!!

The table models the flight of the projectile from Part A

Which of these statements is true?
A) h(4) < h(20)
B) The flight is symmetric about the line t=10
C) The projectile will hit the ground at some value of t less than 24.
D) If 0<a<12, then h(12-a) = h(12+a).​

Answers

If 0 < a < 12, then h(12 – a) = h(12 + a) is true. Then the correct option is D.

What is a projectile motion?

When a body is thrown in the air at an angle, then the term is known as projectile motion.

The table is given in the question.

A) h(4) < h(20), this statement is incorrect, because the h(4) = h(20).

B) The flight is symmetric about the line t = 10, this statement is incorrect, because symmetric about t = 12.

C) The projectile will hit the ground at some value of t less than 24. This is incorrect, because t > 24.

D) If 0 < a < 12, then h(12 - a) = h(12 + a).​ This statement is correct.

Then the correct option is D.

More about the projectile motion link is given below.

https://brainly.com/question/11049671

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hey guys i'm having a rough night and i can't figure out my homework rn i'm just too stress please help

Answers

Answer:

3a) 54/99

3b) 257/999

Hope this'll help you!


You own a truck that has a trailer in the shape of a rectangular prism. It has a height of 15 m and a length of 40m, and a width of 10 m. If you wish to fill this trailer with 5m x 5m x 5m cubic boxes, how many boxes will fit into
the trailer

Answers

Answer:

48 boxes

Explanation:

First, find the volume of the rectangular prism (l*w*h) to find out how much it can hold.

15*40*10= 6,000

Then, find the volume of the cubic boxes (l*w*h) to find how much space each of them take up.

5*5*5= 125

Finally, divide the rectangular prism's volume by the boxes' to find out how many can fit inside.

6,000/125= 48 boxes

What is the volume of a rectangular prism with length equal to 13,width equal to 6 and height equal to 4

Answers

Given:

Length of the rectangular prism = 13 units.

Width of the rectangular prism = 6 units.

Height of the rectangular prism = 4 units.

To find:

The volume of the rectangular prism.

Solution:

We know that the volume of the rectangular prism is:

[tex]V=l\times b\times h[/tex]

Where, l is length, b is breadth or width and h is the height of the rectangular prism.

Putting [tex]l=13,b=6,h=4[/tex] in the above formula, we get

[tex]V=13\times 6\times 4[/tex]

[tex]V=312[/tex]

Therefore, the volume of the given rectangular prism is 312 cubic units.

1-4: Find the measures of central tendency, then determine the range of the data.
Daily High Temperatures (°F) for a week: 68 70 67 68 75 75 74 (1 pt each)
1. Mean:
2. Median:
3. Mode(s):
4. Range:

Answers

Answer:

Step-by-step explanation:

1=71

2=70

3= 68 and 75, they both appear twice

4= 8

Find the distance between the two points. (2, 4), (7, 2)

Answers

Answer:

5.38516480 or  √ 29

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

5.385165 or sqrt 29

Step-by-step explanation:

d = distance

d= sqrt (7-2)^2+(2-4)^2

and when simplified fully you get

sqrt or 5.385165

a triangle has two sides of lengths 5 and 12, what value could the length of the third side be? check all that apply​

Answers

Answer:

11 and 9

Step-by-step explanation:

The inequality is 12-5<x<12+5, which simplifies to 7<x<17, so the length of the third side can be any number between 7 and 17, but not including those numbers.

The answer is 11 and 9

The distance by road from town A to town B is 242km.
What is 50% of that distance? A484 b 121 c 242 d
13

Answers

Answer: Option b 121km

50% means half, so the half of 242km is 121km, so option B 121 is correct.

Step-by-step explanation:

242/2=121

Have a nice day!

and can I maybe have brainliest? Thanks!

Answer:

Step-by-step explanation:

36 - 4

Step-by-step explanation:

(6x - 2)(6x + 2)

= (6x)(6x) + (6x)(-2) + (2)(6x) + (-2)(2)

= 36 - 12x + 12x - 4

= 36 - 4

13.) In 1990, a radio costs $25. Now,
the radio costs $5. What is the
percent of change?

Answers

Answer:

Step-by-step explanation:

             80% of 25 = 5

because 10% of 25 = 2.5

and then       10 x 8 = 80

so                2.5 x 8 = 20

                  25 - 20 = 5

therefore, the percentage change is 80%

GIVE BRAINLIEST

hope this helped,

-cheesetoasty

if 16c 1 gal then 1 1/4 gal __= c

Answers

Answer:

20 cups

Step-by-step explanation:

16 x 1.25 = 20

Answer:

11/4 c = 44 gal

I hope it's helps you

A cube with sides that are 2 cm has a mass of 48 g and its density would be
___________ g/cm3.

Answers

Answer:

6g/cm^3

Step-by-step explanation:

The density of the cube would be 6 grams/cm^3. I got this answer by first finding the volume of the cube, 2^3 which gives me 8 cm as the initial volume of the cube. Then, the 48 grams of mass the cube has allows me to divide 48 / 8 which gave me 6. And 6 would be the density of the cube in grams.

Answer: 6g/cm^3

Hope this helps!

Answer:

p = 6 g/cm³

Step-by-step explanation:

Given: cube sides= 2 cm and 48 g

To find: The cube's density

Formula: [tex]{p} \frac{m}{V}[/tex]

Solution: Measure the height, width, and depth of the shipment in inches.

Multiply the three measurements (height x width x depth).

Divide the total cubic inches by 1,728 (the number of cubic inches in a cubic foot).

Divide the weight (in pounds) of the shipment by the total cubic feet.

p = density

m = mass

V = volume

A marine biologist wants to test the effect of water temperature on the length of time sea otters can remain under water during a dive. He gathers data on randomly selected dives by 7 different otters, recording dive duration (in seconds) and water temperature (in degrees Celsius). A computer regression analysis of his data is given below. Assume all conditions for inference for slope have been met.

Predictor Coef SE coef T P
Constant 52.789 5.257 10.04 0.000
Water temp 3.3684 0.4216 7.990 0.002
S= 5.557 R- Sq= 92.7% R-Sq(adj)= 91.3%

Required:
What is the estimate of the standard deviation of the sampling distribution of b, the slope of the sample regression line for this relationship?

Answers

Answer:

0.4216

Step-by-step explanation:

from the data given The estimate of the standard deviation of the sampling distribution of b,

( The slope of the sample regression line for the relationship )

= 0.4216  (  i.e. intersection of SE coef and water temperature )

Testing the effect of water temperature on the length of time sea otters can remain

The authors of a paper studied a random sample of 350 Twitter users. For each Twitter user in the sample, the "tweets" sent during a particular time period were analyzed and the Twitter user was classified into one of the following categories based on the type of messages they usually sent.

Category Description
IS Information sharing
OC Opinions and complaints
RT Random thoughts
ME Me now (what I am doing now)
O Other

The accompanying table gives the observed counts for the five categories (approximate values read from a graph in the paper).

Twitter Type IS OC RT ME O
Observed count 50 61 64 102 73

Required:
Carry out a hypothesis test to determine if there is convincing evidence that the proportions of Twitter users falling into each of the five categories are not all the same. Use a significance level of 0.05.

Answers

Answer:

The null hypothesis is rejected.

Step-by-step explanation:

Assuming the proportions in each of the categories is the same which is 1/5 = 0.20.

H0: p1 = p2 = p3 = p4 = p5 = 0.2

Ha: H0 is not true.

The table is as below:

Twitter Type:   Observed Count      p        E=350*p       (O-E)^2/E

IS                                50                  0.2          70                 5.7143

OC                              61                   0.2          70                 1.1571

RT                               64                  0.2          70                 0.5143

ME                              102                 0.2          70               14.6285

O                                 73                  0.2          70                 0.1286

-----------------------------------------------------------------------------------------------

Total                                                                                     22.1428

The test statistic [tex]\chi^2[/tex] is 22.1421

The degree of freedom d is n-1=5-1 =4

The corresponding p-value from the chi-squared table is .000188.

As this value is less than the p-value for the H0 thus we reject the null hypothesis.

Someone pls help me out thanks

Answers

Answer:

C(7,-8)

R= 8

The general formula of a circle = (x-a)+(y-b)=r²

A recipe for cookies calls for 2/3 cups of sugar per batch Atlanta use 4 cups of sugar to multiply batches of cookies how many batches will she make

Answers

6

Step-by-step explanation:

Find the value of x in the triangle shown below.
a. x=80
b. x=48
c. x= 32
d. x=12

Answers

h.c gjsussisuse udrih eieeiee Getty e

You need to establish _____ for how to judge a concept.

Answers
Questions
Points
Criteria

Answers

Answer:

Criteria.

Step-by-step explanation:

A series of criteria is a set of parameters established by whoever seeks to interpret a certain information or quantity of concepts, by means of which a set of interpretive rules is established that should be equal to all the concepts to be analyzed. Thus, the criteria allow a set of data to be analyzed under the same parameters or information processing requirements.

50 Points! Will give brainliest!

Answers

The answer is C

KLM~STU
From the positions you can find which angles are congruent

K~S
KL~ST
...Etc

Answer:

D.

Step-by-step explanation:

You withdrew $36.25 from your checking account. Now your balance is −$14.75. Write and solve an equation to find the amount of money in your account before you withdrew the money?

Answers

Answer:

SIMPLE, −$14.75 + $36.25 = $21.50

Step-by-step explanation:

TO CHECK OURSELVES:

21.50 -  36.25 = -14.75

YOUR WELCOME

She has 12 watermelons, 30 pears, and 42 apples

For each basket Kerra makes they must have the same number of fruit.

She must use all the fruit.



What is the greatest number of baskets that Kerra can make?

Answers

Six because all can be divided by six
12/6=2
30/6=5
42/6=7

Which phrase describes the shape of the data?
.
.
.
12
13
14
15
10
17
18
A. Symmetric, not bell-shaped
B. Not symmetric, bell-shaped
C. Not symmetric, not bell-shaped
D. Symmetric bell-shaped

Answers

Answer:

C. Not symmetric; not bell-shaped.

Step-by-step explanation:

In a symmetric data distribution, the shape on the left side is almost the same as the shape on the right side of the middle. In this type of data distribution, if different measure of centers are calculated (mean, median, and mode), they will have a similar figures that are close together. Symmetric distributions are bell-shaped.

On the other hand, if the data distribution is not symetric, it means the left and the right side of the distribution are not equal and do not have the same shape.

The data in the dot plot above is considered as NOT SYMMETRIC. Also, it is not bell-shaped.

Answer:

c

Step-by-step explanation:

The temperature decreased by 4.6 degrees Fahrenheit
B The temperature decreased by 0.28 degrees Fahrenheit
The temperature increased by 0.75 degrees Fahrenheit
The temperature increased by 4.6 degrees Fahrenheit

Answers

Answer:

10.23

Step-by-step explanation:

just add them togather

1. What is the difference in the ranges?
A 5 points
C 20 points
B 10 points
D 35 points
2. Which test has a greater median?
A Test 1
B Test 2
C They have the same median.
D You cannot tell from the dot plots.

Answers

Test 2 they have 80 and 70

the area of the trangle is......

Answers

Answer:

30 cm²

Step-by-step explanation:

To find the area of a triangle, multiply the base and the height, then, divide the product by 2.

In this case, the base is 6 and the height is 10.

6 x 10 = 60

The product is 60.

60 / 2 = 30

Therefore, the area of this triangle is 30 cm².

Answer:

30

Step-by-step explanation:

Formula for area of a triangle: [tex]A=\frac{bh}{2}[/tex]

where b = base length and h = height

The triangle shown has a base length of 6 cm and a height of 10 cm

Using this information we plug in the values into the formula

So...

[tex]A=\frac{10*6}{2} \\10*6=60 \\\frac{60}{2} =30[/tex]

Hence, the area of the triangle is 30 square centimeters.

What is the value of 12(x + 5)?​

Answers

Answer:

12(x+5)=

12x+60=

12x÷12 & 60÷12

x=5

The scatter plot shows the number of hours worked and money spent on entertainment by each of 24 students. Also shown is the line of best fit for the data. Fill in the blanks below.​

Answers

The given scatter plot has a positive correlation.

Given that, the scatter plot shows the number of hours worked and money spent on entertainment by every 24 students.

What are scatter plots?

A scatter plot is a means to represent data in a graphical format. A simple scatter plot makes use of the coordinate axes to plot the points, based on their values. The following scatter plot excel data for age (of the child in years) and height (of the child in feet) can be represented as a scatter plot.

A positive correlation—when the correlation coefficient is greater than 0 signifies that both variables move in the same direction.

The blanks for the given questions are filled below:

a) increase

b) strong positive

c) $22.50

Therefore, the given scatter plot has a positive correlation.

To learn more about the scatter plot visit:

https://brainly.com/question/13984412.

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