Match the function in the left column with its period in the right column.

Match The Function In The Left Column With Its Period In The Right Column.

Answers

Answer 1

The results for the matching between function and its period are:

Option 1 - Letter DOption 2 - Letter AOption 3 - Letter COption 4 - Letter B

What is a Period of a Function?

If a given function presents repetitions, you can define the period as the smallest part of this repetition. As an example of periodic functions, you have: sin(x) and cos(x).

[tex]\mathrm{Period\:of\:}a\cdot \cos \left(bx\:+\:c\right)\:+\:d=\frac{\mathrm{periodicity\:of}\:\cos \left(x\right)}{|b|}[/tex]

[tex]\mathrm{Period\:of\:}a\cdot \sin \left(bx\:+\:c\right)\:+\:d=\frac{\mathrm{periodicity\:of}\:\sin \left(x\right)}{|b|}[/tex]

The period of sin(x) and cos(x) is .

For solving this question, you should analyze each option to find its period.

1) Option 1

[tex]\mathrm{Periodicity\:of\:}a\cdot \cos \left(bx\:+\:c\right)\:+\:d=\frac{\mathrm{periodicity\:of}\:\cos \left(x\right)}{|b|}\\ \\ \mathrm{Periodicity\:of\:}a\cdot \cos \left(bx\:+\:c\right)\:+\:d=\frac{2\pi }{\frac{1}{2} }=4\pi[/tex]

Thus, the option 1 matches with the letter D.

2) Option 2

[tex]\mathrm{Period\:of\:}a\cdot \sin \left(bx\:+\:c\right)\:+\:d=\frac{\mathrm{periodicity\:of}\:\sin \left(x\right)}{|b|}\\ \\ \mathrm{Period\:of\:}a\cdot \sin \left(bx\:+\:c\right)\:+\:d=\frac{2\pi}{4} =\frac{\pi }{2}[/tex]

Thus, the option 2 matches with the letter A.

3) Option 3

[tex]\mathrm{Periodicity\:of\:}a\cdot \cos \left(bx\:+\:c\right)\:+\:d=\frac{\mathrm{periodicity\:of}\:\cos \left(x\right)}{|b|}\\ \\ \mathrm{Periodicity\:of\:}a\cdot \cos \left(bx\:+\:c\right)\:+\:d=\frac{2\pi}{2} =\pi[/tex]

Thus, the option 3 matches with the letter C.

4) Option 4

[tex]\mathrm{Period\:of\:}a\cdot \sin \left(bx\:+\:c\right)\:+\:d=\frac{\mathrm{periodicity\:of}\:\sin \left(x\right)}{|b|}\\ \\ \mathrm{Period\:of\:}a\cdot \sin \left(bx\:+\:c\right)\:+\:d=\frac{2\pi}{8} =\frac{\pi }{4}[/tex]

Thus, the option 4 matches with the letter B.

Read more about the period of a trigonometric function here:

https://brainly.com/question/9718162

#SPJ1


Related Questions

Please help, sigma notations please big project 100 points

Answers

Answer:

I believe the answer is: [tex]3B_i[/tex]. (Your equation should look something like this: [tex]\sum _{i=3}^5\:B_{\left(i\right)}[/tex] )

Step-by-step explanation:

[tex]1. \sum _{i=3}^5=\sum _{i=1}^5-\sum _{i=1}[/tex]

2.[tex]=\sum _{i=1}^5B_{\left(i\right)}-\sum _{i=1}^2B_{\left(i\right)}[/tex]

3.=[tex]=\sum _{i=1}^5B_{\left(i\right)}= 5B_{\left(i\right)[/tex]

4.[tex]\sum _{i=1}^2B_{\left(i\right)}= 2B_{\left(i\right)[/tex]

5.[tex]5B_{\left(i\right)}-2B_{\left(i\right)}[/tex]

6.[tex]5B_{\left(i\right)}-2B_{\left(i\right)}=3B_{\left(i\right)}[/tex]

7. The answer should be: [tex]3B_{\left(i\right)}[/tex]

Hope this helps...

Solve each equation.
1. x+6=4
2.x- -4 = -6
3.2(x-1)=-200
4.2x+-3=-23

Answers

Step-by-step explanation:

1) x+6 =4

x. =4-6

x. =-2

2) x-(-4) =-6

x+ 4. =-6

x. =-6-4

x. =-10

3)2(x-1)=-200

2x-2 =-200

2x. = -200+2

2x. = -198

x. = -198/2

x. = -99

4)2x+(-3) =-23

2x-3. =-23

2x. =-23+3

2x. =-20

x. =-20/2

x. = -10

what is the answer to 54785 plus 43543546546546

Answers

43543546601331 is the answer

what is the median of, 50, 30, 40, 10, 20, 80, 60, 90, 10, 30, 110, 70?

Answers

Answer:

45

Step-by-step explanation:

median is the middle number after arranging a set of numbers in ascending or descending order.

let's arrange the set of numbers above in ascending order

10, 10, 20, 30, 30, 40 50, 60, 70, 80, 90, 110

since there are 12 digits in total, count out five digits starting from extreme left and also count out five digits starting from extreme right.

the two numbers left in the middle are 40 and 50.

median 40+50/2 = 90/2= 45

The graph of which of the following will be perpendicular to the graph of y = 2x – 4? A. 2x + y = 4 B. 4x – 2y = 4 C. y = –2x + 8 D. 2x + 4y = 1 Please select the best answer from the choices provided

200 Points !!!!!!

Answers

The linear function that has a graph perpendicular to y = 2x – 4 is given by:

D. 2x + 4y = 1

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

If two lines are perpendicular, the multiplication of their slopes is of -1. The line y = 2x + 4 as a slope of 2, hence the slope of the perpendicular line will be given by m as such:

[tex]2m = -1[/tex]

[tex]m = -\frac{1}{2} = -0.5[/tex]

Hence option D is correct, as:

2x + 4y = 1

4y = -2x + 1

y = -0.5x + 0.25

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

A six-sided number cube is rolled and the proportion of 3s is calculated. The graph shows the long-run relative frequency of 100 rolls of this die. A graph titled proportion of threes has frequency on the x-axis, and probability on the y-axis. The graph increases, and then stays steady around y = 0.17. Which conclusion can be drawn from this graph? There is a 20% chance of rolling a 3 with this die. The long-run frequency of rolling a 3 appears to be about 0.17. Because the probabilities on the left part of the graph fluctuate so much, we cannot conclude that this is a fair number cube. This number cube must be fair because each outcome of rolling a 1, 2, 3, 4, 5, or 6 has the same probability of occurring.

Answers

The conclusion that can be drawn from this graph on the long-run frequency of 100 rolls is The long-run frequency of rolling a 3 appears to be about 0.17.

What does the graph show?

At the 0.17 probability, the proportion of 3s calculated levels off from around the 40th roll to the 100th roll.

This means that the long-run frequency of rolling a 3 is around 0.17 because this was the probability seen for most of the rolls over time.

Find out more on long-run frequency at https://brainly.com/question/17179948.

#SPJ1

Write an inequality for which 3, -4 and 2,300 are solutions ​

Answers

Answer:

2x < 600

Step-by-step explanation:

The students in Dale's grade voted to select a guest speaker. 3 students voted for a famous
athlete. The other 22 students in Dale's grade voted for a famous actor. What percentage of
the students voted for the athlete?

Answers

Answer:

12

Step-by-step explanation:

3/(22 + 3) voted for athelete

multiply everything by 4 to get fraction over 100

12/(88 + 12) voted for athelete

that means 12 percent voted for athelete

The number of slugs in a garden t days from now is p, where
Po= 100
Pt+1= 1.06pt
ork out the number of slugs in the garden 3 days from now.

Answers

Answer:

..........

..........

....

x

i

an

Answer:

119.1

Step-by-step explanation:

Pt+1=1.06x100

P3=106^3x100

=119.1016

Which statements are true about the solution 2< x -7


First one to give CORRECT answer within 5 minutes gets-

12 points
Brainlist

Answers

Answers:

x > 9

Graph has open circle

Arrow points to the right

======================================

Reason:

Add 7 to both sides to go from the original inequality to 9 < x, which is the same as x > 9

The graph will involve an open circle at 9. We don't include this endpoint because there isn't "or equal to" in the inequality sign.

We shade to the right due to the "greater than"

This visually shows all values larger than 9.

A motorcycle rides from point P to Q to R to S and finally to P in a circular path as shown in the below figure. Find a) the distance travelled by motorcycle. b) the displacement​

Answers

The distance covered by the motorcycle is 31.4 km and displacement will be equal to 0.

What is Distance and Displacement ?

Distance and Displacement both are the measure of the movement of an Object from one point to another.

Distance is a scalar quantity while Displacement is a vector quantity , and so it depends upon direction.

Distance travelled will always be positive but Displacement can be positive , negative and zero.

A motorcycle rides from point P to Q to R to S and finally to P in a circular path as shown in the below figure

The missing figure is attached with the answer.

(a) The distance covered by the motorcycle is

2πr = 2 * 3.14 * 5 = 31.4 km

(b) The displacement will be equal to 0 as the starting and the ending point is same.

To know more about Distance and Displacement

https://brainly.in/question/47777661

#SPJ1

A. 3/5
B. 3/10
C. 1/5
D. 1/2

Answers

It’s definitely all of the above there all basiclalu the same factor answer it’s just with different numbers

rhea got a new e-scooter. She wanted to show it to her friend on the way to the library.Her friend ronan's house is due north of her house. Adter showing he new scooter she went to library which is due west from ronaks house.while returning back she drove 17km diagonally to her house find distance between rhea and her friends house. How far is the library from ronaks house.
(Urgent!!)

Answers

The distance between rhea and her friend's house could be 8 km and The distance of the library from the rocks house could be 15 km.

What is Pythagoras' Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2    

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

rhea got a new e-scooter. She wanted to show it to her friend on the way to the library.

Her friend Ronan's house is due north of her house.

After showing him the new scooter she went to the library which is due west from rocks house.

while returning back she drove 17km diagonally to her house.

By Pythagoras' theorem

|AC|^2 = |AB|^2 + |BC|^2    

Here we can assume that

AB = The distance between rhea and her friend's house.

BC = The distance of the library from rocks house.

The triplet of the 17 would be (8, 15, 17)

So, we can say that the AB could be 8 km and BC could be 15 km or vice versa.

Learn more about Pythagoras' theorem here:

https://brainly.com/question/12105522

#SPJ1

Use ruler and compasses to bisect line AB.

Answers

Step-by-step explanation:

open ur compass more than half of the line and draw arc from both end. connect the line from 2 point of from the two arc

may someone help me with this problem? Thank you!

Answers

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

Let's find the value of given expression for x = 5 ~

[tex]\qquad \sf  \dashrightarrow \:3(3x + 5)[/tex]

[tex]\qquad \sf  \dashrightarrow \:9x + 15[/tex]

now, plug in the value of x as 5

[tex]\qquad \sf  \dashrightarrow \:9(5) + 15[/tex]

[tex]\qquad \sf  \dashrightarrow \:45 + 15[/tex]

[tex]\qquad \sf  \dashrightarrow \:60[/tex]

so, the equivalent value is 60

It is 11x I believe

Which type of angle is < 3 ?

Answers

Answer: C

Step-by-step explanation:

See attached image.

Find the value of x in the given
right triangle.
7
X
10
x = [ ? ]

Answers

The value of x in the given right triangle is approximately 7.14

How to find unknown side in a right triangle?

Hypotenuse = 10opposite = xAdjacent = 7

Hypotenuse² = opposite² + adjacent ²

10² = x² + 7²

100 = x² + 49

100 - 49 = x²

51 = x²

x = √51

x = 7.14142842854284

Approximately,

x = 7.14

Learn more about right triangle:

https://brainly.com/question/2217700

#SPJ1

The Algebra Club has decided to rent a convention center for their annual Algebra Gala. The cost for the rental will be split evenly among the attendees, which means that the price per person varies inversely with the number of people attending.

If 25 people attend, the cost will be $30 per person.

How many people would need to attend to get the cost under $20 per person?

A) 28
B) 38
C) 48
D) 58​

Answers

B (25*30=750)
(750/20=37.5) and since people are counted round to the nearest whole number so at least 38 people must attend for the price to be under $20

If you place a 39-foot ladder against the top of a building and the bottom of the ladder is 33 feet from the building how tall is the building?

Answers

Answer:

Formulate

Based on the given conditions, formulate:

[tex] \sqrt{3 {9}^{2} } - 3 {3}^{2} [/tex]

Evaluate

Evaluate the equation/expression:

20.78461

SO THE ANSWER IS 20.78461

Answer:

20.78 feet

Step-by-step explanation:

[tex]39^{2} =h^{2} +33^{2} \\1521= h^{2} +1089\\h^{2}= 1521-1089\\h^{2} =432h= 20.78[/tex]

Question 19 of 25
5x
x²-11x
= 1. Solve for x.
4
O A. X = 16
OB. x= 3
O C. x = 6
OD. x = 22

Answers

Quadratic equations are equation that has degree of 3. The value of x from the quadratic equation is 3

Factorizing the quadratic equation

Quadratic equations are equation that has degree of 3. Given the following equation;

5x²-11x = 1

Equate to zero

5x²-11x - 1 = 0

Find the solution using quadratic solution

[tex]x=\frac{11\pm\sqrt{121-4(5)(-1)}}{2(5)}\\x=\frac{11\pm\sqrt{141} }{10} \\x=\frac{11\pm11.87 }{10} \\x=\frac{22.87}{18}\\ x\approx 3[/tex]

Hence the value of x from the quadratic equation is 3

Learn more on function here: https://brainly.com/question/1214333

#SPJ1

a) Work out the size of angle x. b) Give reasons for your answer. + A E C xº B F 105° G D H​

Answers

Check the picture below.

4.9t+0.3=5.6t+0.72 I need help on my work lol

Answers

The first step that we must take before attempting to solve the problem is to understand what the problem is asking us to do and what is given to us to help accomplish that goal.  Although it does not explicitly state that we must solve for t, this is usually what the problem statement would be asking if we just receive and expression like this.  What is given to us to accomplish that goal is the expression [tex]4.9t+0.3=5.6t+0.72[/tex].

Now that we have completed that step, we can move onto the next part which is actually solving the problem.  The next step that we should take when solving for the unknown, in this case t, is to subtract 4.9t from both sides.

Subtract 4.9t from both sides

[tex]4.9t+0.3=5.6t+0.72[/tex][tex](4.9t-4.9t)+0.3=(5.6t-4.9t)+0.72[/tex][tex]0.3=(5.6t-4.9t)+0.72[/tex][tex]0.3=(0.7t)+0.72[/tex]

Now that we got all of the t's to one side, let us isolate t completely and the next step that we should take is to subtract 0.72 from both sides.

Subtract 0.72 from both sides

[tex]0.3=0.7t+0.72[/tex][tex]0.3 - 0.72=0.7t+0.72 - 0.72[/tex][tex]0.3 - 0.72=0.7t[/tex][tex]-0.42=0.7t[/tex]

The final step that we need to take to isolate t would be to divide both sides by 0.7 which would remove the coefficient from the unknown variable t and divide 0.7 from -0.42

Divide both sides by 0.7

[tex]-0.42=0.7t[/tex][tex]\frac{-0.42}{0.7}=\frac{0.7t}{0.7}[/tex][tex]\frac{-0.42}{0.7}=t[/tex][tex]-0.6=t[/tex]

Therefore, after fully narrowing down the solution we were able to determine that the solution of the unknown variable or t is equal to -0.6

You are a travel agent contacted by the Alonzo family who plans for a three-day summer vacation in Hong Kong. You are to present to them a variety of transportation packages within their allotted budget. The package should interest all the members of the family, namely: Mr. and Mrs. Alonzo; Joshua, their 24-year old son; and Bea, their 12-year old daughter. Create a diagram showing the variety of transportation options for all the family members to choose from. Explain how you arrived at those options.​

Answers

Answer:

[tex]\huge\bold\color{pink}{- Magdonal -}[/tex]

magpakailanman

[tex]\pink{\rule{1pt}{999999pt}}[/tex]

Suppose you have two bags of marbles that are in a box. bag 1 contains 7 white marbles, 6 black marbles, and 3 gold marbles. bag 2 contains 4 white marbles, 5 black marbles, and 15 gold marbles. the probability of grabbing the bag 1 from the box is twice the probability of grabbing the bag 2.
create a simulation to estimate the probability of pulling a gold marble. assume you put the marble back in the bag each time you pull one out. make sure to run the simulation enough times to be confident in your final result.

Answers

Suppose you have tow marbles that’s are bid bag 1 and 2

The circular fountain in
front of the courthouse has a radius of
9.4 feet. What is the circumference of
the fountain? Round to the nearest
tenth.

Answers

Answer:

59.1 feet

Step-by-step explanation:

The formula for the circumference of a circle in C=2πr. Since the radius of the circle is given, all you have to do is plug it into the equation.

C=2πr

C=2π(9.4)

C=18.8π feet  <-- this is the exact answer

C=59.1 feet

1. explain the steps to use coordinates in
calculating the perimeter and area of
polygons? explain your procedure when
working with diagonal sides and irregular
shapes on the coordinate plane. 2. explain
how the distance formula and slope formula
are used to classify various quadrilaterals and
triangles.

Answers

Use the distance formula to measure the lengths of the sides.Use the slope to check whether the sides are perpendicular and form right angles.Use the slope to check whether the diagonals are perpendicular to each

We need to explain the steps to use coordinates in calculating the perimeter and area of the polygon.

We need to explain the procedure when working with diagonal sides and irregular shapes on the coordinate plane.

The location of a point in the XY-plane is determined by coordinates. The vertex, which is the point where two lines of a shape meet to form a corner, is a unique place. We can determine the perimeter and area of a figure after we have the coordinates for all of its vertices.

Steps to calculate the perimeter and area of a polygon:

Step 1: Plot the given points on the graph.

Step 2: Connect the points and identify the figure.

Step 3: Determine lengths by counting the grid lines.

Step 4: Use a formula to calculate the perimeter and area if one exists.

Step 5: If there are no formulas for a figure, the perimeter can be calculated by summing the lengths of the sides. We might estimate the area without an area formula by counting the number of small squares enclosed.

Note: If you are using diagonal to calculate the area, then use the distance formula to calculate the length of the diagonal.

We need to explain how the distance formula and slope formula

are used to classify various quadrilaterals and triangles.

Distance formula: [tex]\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1} )^{2} }[/tex]

The length of a triangle's sides can be calculated using the distance formula. If the lengths of all three sides are equal, the triangle is said to be equilateral.An isosceles triangle is formed when the lengths of any two sides are equal.If the length of the opposite sides is equal, then the quadrilateral could be a rectangle or a parallelogram.If the length of all sides is equal, then the quadrilateral could be a square or a rhombus.

Now, we use slope to find the angles i.e. If:

The product of two slopes is -1, then the lines are perpendicular and so, form right angle between them.If the slope of two lines is equal, then the lines are parallel.So, this gives us that the option 'Use the slope to check whether sides are perpendicular and form right angles' is correct.Since some quadrilaterals have the property that the diagonals are perpendicular bisectors of each other

Use the distance formula to measure the lengths of the sides.Use the slope to check whether the sides are perpendicular and form right angles.Use the slope to check whether the diagonals are perpendicular to each

To learn more about coordinate geometry visit:

https://brainly.com/question/18269861

#SPJ1

Use the standard deviation values of the two samples to find the standard deviation of the sample mean differences.

sample standard deviation
red box 3.868
blue box 2.933
then complete each statement.

the sample size of the session regarding the number of people would purchase the red box,
n
1
, is .

the sample size of the session regarding the number of people would purchase the blue box ,
n
2
, is .

the standard deviation of the sample mean differences is approximately .

Answers

The standard deviation of the sample mean differences is 4.854

How to determine the standard deviation of the sample mean differences?

The table of values is given as:

Sample      Standard deviation

Red box     3.868

Blue box   2.933

The standard deviation of the sample mean differences is calculated using:

[tex]\sigma = \sqrt{\sigma_1^2 + \sigma_2^2}[/tex]

This gives

[tex]\sigma = \sqrt{3.868^2 + 2.933^2}[/tex]

Evaluate the expression

[tex]\sigma = 4.854[/tex]

Also, the table of value do not give any information regarding the sample size.

This means that the sample size of the session regarding the number of people would purchase the red box and the blue box are unknown

Hence, the standard deviation of the sample mean differences is 4.854

Read more about standard deviation at:

https://brainly.com/question/15858152

#SPJ1

Consider the expressions 7y + 5 − 3 and 7y + 2. Which statement is true?

Answers

The two expressions are equivalent because they have the same value regardless of the number of substituted in for y

consider the given figure

Answers

Step-by-step explanation:

mark me brainlist please!!

the answer is A

Graph a line that contains the point (6, -5) and has a slope of -2/3.

Answers

We know that the equation of the line is in the form [tex]y=-\frac{2}{3}x+b[/tex]. To find b, we can use the fact that (6,-5) lies on the line, meaning that both sides of the equation are equal when x=6 and y=-5.

[tex]-5=-\frac{2}{3}(6)+b\\-5=-4+b\\b=-1[/tex]

Hence, the equation of the line is [tex]y=-\frac{2}{3}x-1[/tex], and its graph looks something like follows.

Step by Step Explanation:

Other Questions
HELP MEEEEEEEEEEEEEEEE Which graph does not represent a function of x? AB is tangent to circle O at B. The diagram is not drawn to scale. If AB =15 in and AO =20, what is the length of the radius (r)? Round the answer to the nearest tenth. How did income tax affect people?People who owned property paid more taxes.People who bought lots of goods paid more taxes.People who had higher medical bills paid more taxes.People who made less money paid fewer taxes. What were the Articles of Confederation?A. a convention of fifty-five delegates in PhiladelphiaB. the first constitution of the United StatesC. a collection of essays supporting the ConstitutionD. a group that opposed the Constitution Which phenomenon in the late 19th and early 20th centuries contributed to a change in the data on this map? A. The regulation of railroads B. Temperance C. The formation of labor unions D. Lynching A small clothing store sells 3 different types ofaccessories: 20% are scarves, 60% are ties, andthe other 40 accessories are belts. If half of theties are replaced with scarves, how many scarveswill the store have? Which of the following statements is the most likely explanation for why Japan so actively sought to claim foreign lands during its imperial period? 4.5% of what number is 46.116? PLEASE HELP ASAP. WILL GIVE BAINLIEST! How does technology influence how the types of energy sources are used? Give an example to support your answer. Read the sentence.While we could never prove it, we suspected him of duplicity, so we were never able to fully trust him despite his numerous good deeds.What is the most likely definition of "duplicity?counterfeitingcunningdeterminationdishonesty Which actions could david have taken to improve his communication on this issue? check all that apply. talk more until his parents understood him practice active listening show respect to his parents change his opinion to match that of his parents use techniques to diffuse his anger How can the modern era be distinguished from other eras in history What type of function is f(x) = 2x -14? ExponentialLogarithmicPolynomial Rational How did the Ursulines most focus on women?through educationthrough sacramentsthrough jobsthrough missions What does this statement indicate about the use of the atomic bomb in World War II? PLEASE HELP!!! WILL GIVE BRAINLIEST!!! The Artic Circle runs just south,north or west of iceland. Read the paragraph.All afternoon, my sister and I tried to convince our parents to take us to the see the latest blockbuster movie. Our parents complained that they were too tired and had too much work to do so we stepped up and helped with chores. We told them they deserved a break and that we all could use some family time. Finally, we were able to convince them to go to the movie! My sister wanted to ask if we could go out for pizza too. I told her not to rock the boat. We were lucky enough to go to the movie.What is the meaning of the proverb in the paragraph?Do not push for changes.Avoid making quick decisions.Never give up.Be respectful of others. Please solve this question, and explain how you got the answer ty