Find a function of the form
or (picture) whose graph matches the function shown below:

Find A Function Of The Form Or (picture) Whose Graph Matches The Function Shown Below:

Answers

Answer 1

The sinusoidal function of the form y = A·sin(k·x) + C that matches the function in the graph is; y = 4·sin((π/5)·x) - 1

What is a sinusoidal function?

A sinusoidal function is a periodic function based on the sine or cosine functions.

The form of the function is y = A·sin(k·x)

The peak and trough of the graph are; (-7.5, 3), (-2.5, -5)

The amplitude of the function is therefore; A = (3 - (-5))/2 = 4

The vertical shift of the function is; C = (3 + (-5))/2 = -1

The period of the graph (Number of input x-values required to complete a cycle) = 2.5 - (-7.5) = 10 = 2·π/k

Therefore; k = 2·π/10 = π/5

The horizontal shift can be found as follows;

When x = 0, y = -1, therefore;

-1 = 4 × sin(π/5 × (0 - θ)) - 1

arcsin(0/4) = π/5 × (- θ)

θ = 0

The sinusoidal function is therefore;

y = 4·sin((π/5)·x) - 1

Learn more on sinusoidal functions here: https://brainly.com/question/29529184

#SPJ1


Related Questions

Let f(x) = 1/x+2 and g (x) = 1/x-3. Find (f/g) (x). Assume all appropriate restrictions to the domain. help!!!!

Answers

Answer:

  x ≠ -2 or 3

Step-by-step explanation:

No denominator can be zero, so ...

  x +2 ≠ 0

  x ≠ -2

__

  x -3 ≠ 0

  x ≠ 3

__

  g(x) ≠ 0 . . . . . true for all x; no restriction needed for this

__

The appropriate restrictions are x ∉ { -2, 3 }.

Find the measure of the numbered angles in each rhombus

Find the measure of the numbered angles in each rhombus

Answers

Answer:

Step-by-step explanation:

I thought those lines mean that they are equal meaning that the number is 68.

Mr. Lai buys 2 1/4 pounds of red apples and 1 3/8 pounds of green apples. How many more pounds of red apples does he buy?

Answers

The answer is 3 5/8 pounds

Answer:

Mr. Lai buys 2 1/4 pounds of red apples and 1 3/8 pounds of green apples. How many more pounds of red apples does he buy?

2. Amir's community center has an evening art class. He pays $5 every time he goes to the class. His cost, C(a), is given by C(a) = 5a, where a is the number of art classes Amir attends.
a. Identify the independent variable and tell what it represents.

b. Identify the dependent variable and tell what it represents.

Answers

Answer: a. The independent variable in the equation C(a) = 5a is a. It represents the number of art classes Amir attends.


b. The dependent variable in the equation C(a) = 5a is C(a). It represents the cost Amir incurs as he attends art classes. The dependent variable is dependent on the independent variable because the cost will change as the number of classes attended changes.

The answer is the letter A

PLS HELP IMA MARK BRAINLIEST

PLS HELP IMA MARK BRAINLIEST

Answers

Answer:

3/5

Step-by-step explanation:

The probability of a number greater than 6 is 4/10 or 2/5

The probability of getting a blue is 2/10 or 1/5

U add 1/5 and 2/5 which gives u 3/5

Hope this helps

Mark em brainiest pls

The correct answer is 1/2

14. Which shows how to find 5 x 72 mentally by using the Distributive
Property?
A. 5(7) + 5(2) B. 5(70) + 5(2) C. 205 + 70) D. 5(70)+2

Answers

The answer to the question is B
Hope this helps :)

Answer:

B

Step-by-step explanation:

5(70)= 350

5(2)= 10

350+10=360

72(5)= 360

i hope this helps!

i really need help, can someone please help me with this math question

i really need help, can someone please help me with this math question

Answers

The functions for this problem are defined as follows:

(t + s)(x) = x³ + 5x².(ts)(x) = \(5x^5\)(t - s)(-2) = -28.

How to obtain the functions?

The functions for this problem are given as follows:

s(x) = 5x².t(x) = x³.

The addition and subtraction functions for this problem are given as follows:

(t + s)(x) = x³ + 5x².(t - s)(x) = x³ - 5x².

At x = -2, the numeric value of the subtraction function is given as follows:

(t - s)(-2) = -2³ - 5(-2)²

(t - s)(-2) = -28.

The product function for this problem is given as follows:

(ts)(x) = \(5x^5\)

More can be learned about functions at https://brainly.com/question/1415456

#SPJ1

find the area of a triangle whose sides are 5 m, 6 m and 9m,( use root 2 =-1.41 m)

Answers

Answer: 14.1 sq meters

Step-by-step explanation:

this question has already been answered

During practice, the players on a softball team warm up by running the bases. This graph shows the relationship between the number of hours, x, of practice the players attend and the number of minutes, y, the players spend running the bases.


How many minutes do the players spend running the bases during each hour of practice?

Answers

The number of minutes that the players spend running bases during each hour of practice is the constant of proportionality of the proportional relationship.

What is a proportional relationship?

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

In the context of this problem, the variables x and y are given as follows:

Variable x: number of hours.Variable y: time spent running the bases.

The equation for the constant is given as follows:

k = y/x.

Representing the hourly time spent running times, you can calculate it taking any point (x,y) on the graph of the function.

More can be learned about proportional relationships at https://brainly.com/question/10424180

#SPJ1

5/8 dived by 3/5

Help please

Answers

Answer:

5/6

Step-by-step explanation:

you must flip 3 over 5 and multiply

Please help me !! I need help asap

Please help me !! I need help asap

Answers

In given fractions 8/9 is 1/36 large than 31/36

Comparing Fractions:

Finding the larger and smallest fraction in between two or more fractions is known as comparing fractions.

We need to change fractions with unlike denominators into fractions with similar denominators in order to compare them. For this, we will find the denominators' Least Common Multiple (LCM).    

If the denominators are the same then it is easy to compare the fractions.

Here we have

31/36 and 8/9

To find the largest fraction convert both denominators into the same  

Here LCM(36, 9) = 36  

Now multiply both numerator and denominators of fractions with a number to change the denominators  

=> \(\frac{31}{36} \times \frac{1}{1} = \frac{31}{36}\)  

=> \(\frac{8}{9} \times \frac{4}{4} = \frac{32}{36}\)  

From the above calculations given fractions are 31/36 and 32/36

Difference = \(\frac{32}{36} - \frac{31}{36} = \frac{1}{36}\)  

   

Therefore,

In given fractions 8/9 is 1/36 large than 31/36

Learn more about Fractions at

https://brainly.com/question/14503941

#SPJ1

Gambling is an issue of great concern to those involved in college athletics. Because of this concern, the National Collegiate Athletic Association (NCAA) surveyed randomly selected student athletes concerning their gambling-related behaviors. Of the 5594 Division I male athletes in the survey, 3547 reported participation in some gambling behavior. This includes playing cards, betting on games of skill, buying lottery tickets, betting on sports, and similar activities. A report of this study cited a 1% margin of error. The confidence level was not stated in the report. Use what you have learned to find the confidence level, assuming that the NCAA took an SRS.

Answers

The confidence level in this report of survey of student atheletes concerning their gambling-related behaviors is equals to 87.88%.

The confidence interval when calculated with the two tails methods then it can be used to test the two tail hypothesis for the same parameter provided that the confidence level. We have, National Collegiate Athletic Association (NCAA) take a survey of randomly selected student athletes concerning their gambling-related behaviors.

repoted participation of students, x = 3547

Sample size,n = 5594

Margin of error, E = 1% = 0.01

The sample proportion is a number of successes divided by the sample size, p-cap = 3547/5594

= 0.6341

The margin of error is for a confidence interval for a proportion, which is determined by using the following formula is

\(CL = Zα/₂ \sqrt{ \frac{ \hat{p} \: (1- \hat{p})}{n} }\)

= Zα/₂√(1 - 0.6341)0.6341/5594

= 0.0064 Zα/₂

This margin of error also has to be equal to 1% or

0.0064 Zα/₂ = 0.01

=> Zα/₂ = 0.01/0.0064 ~ 1.55

The confidence level is the probability of obtaining this value or less extreme, determine the probability using z- table,

P(-1.55< Z < 1.55) = P(Z < 1.55) - P(Z < -1.55)

= 0.9394 - 0.0606 = 0.8788 = 87.8

Thus the confidence level is 87.88%.

To learn more about Confidence level, refer:

https://brainly.com/question/28970780

#SPJ4

At Hearth and Home the price for 2 candles is $8.00. At Homeland the price for 3 candles is $15.00. How many dollars will you save if you buy 6 candles from Hearth and Home instead of Homeland?

Answers

Answer:

answer is 6

Step-by-step explanation:

hard to explain but you have to find the price of 1 candle

Using Intermediate Value Theorem determine which of the following
function has a real root on [1,2].

Answers

Answer:

Use the Intermediate Value Theorem to prove that every cubic function has at least one real root. You will have to first argue that you can find real numbers a and b so that f(a) is negative and f(b) is positive.

Reflect (6,-4) across the -axis. Then reflect the result across the -axis. What are the coordinates of the final point?”

Answers

The coordinates of the final point after the reflections across the x-axis twice is (6, -4)

What are the coordinates of the final point?

Reflecting a point across the x-axis means that we keep the x-coordinate the same, but change the sign of the y-coordinate.

So reflecting (6,-4) across the x-axis gives us the point (6,4).

Reflecting this result again across the x-axis means that we keep the x-coordinate the same, but change the sign of the y-coordinate again.

So reflecting (6,4) across the x-axis gives us the point (6,-4).

Therefore, the final point after both reflections is (6, -4).

Read more about transformation at

https://brainly.com/question/27224272

#SPJ1

a) What is the area of the top face of this
cuboid?
b) What is the area of the bottom face of
this cuboid?
4 cm
9 cm
7 cm

Answers

The area of the top face would be 4cm and the area of the bottom face would be 9cm

The area of both the top face and the bottom face of the cuboid is 63 square centimeters (cm²).

To find the area of each face of the cuboid, we'll use the formulas for finding the area of a rectangle (which is the shape of each face of the cuboid).

Given dimensions:

Length (L) = 9 cm

Width (W) = 7 cm

Height (H) = 4 cm

a) Area of the top face of the cuboid:

The top face is a rectangle with dimensions 9 cm (length) and 7 cm (width).

Area = Length × Width

Area = 9 cm × 7 cm

Area = 63 square centimeters (cm²)

b) Area of the bottom face of the cuboid:

The bottom face is also a rectangle with dimensions 9 cm (length) and 7 cm (width).

Area = Length × Width

Area = 9 cm × 7 cm

Area = 63 square centimeters (cm²)

Therefore, the area of both the top face and the bottom face of the cuboid is 63 square centimeters (cm²).

To know more about cuboid here

https://brainly.com/question/26403859

#SPJ2

Need help with a congruent answer! NEED IT FAST PLEASEE

Need help with a congruent answer! NEED IT FAST PLEASEE

Answers

The answer is A
Hope that helps

• What can you say about the values of 180 and 2x2x3x3x5?

Answers

Answer:

2×2×3×3×5 are the prime factors of 180

Step-by-step explanation:

If you draw a factor tree, you would find that 2x2x3x3x5 are the prime factors of 180

hope this helps :)

Question 3: Mathematical proficiency and the construction of mathematics ideas. To answer this question, you need to understand paragraphs 2.12 and 2.13 in your study guide: Key to note the following concepts: constructivism and behaviourism. inductive and deductive thinking or reasoning. instrumental and relational understanding conceptual and procedural knowledge; and ● elements of mathematics proficiency. . e . (10 marks) ● 3.1 Create an activity where procedural and conceptual understanding co-exists. Revisit your content areas and choose a problem to solve and demonstrate how procedural and conceptual knowledge can be linked to the teaching and learning process. (6) 3.2 Provide an example to explain the difference between conceptual knowledge and procedural knowledge.​

Answers

Given statement solution is :- Math Proficiency conceptual knowledge involves understanding the fundamental concept of division and its relationship to fractions, enabling flexibility in solving division problems with different fractions. Procedural knowledge, on the other hand, focuses on following a specific set of steps to achieve a correct solution without necessarily comprehending the underlying concept.

3.1 Activity: Procedural and Conceptual Understanding in Action

Content Area: Fractions

Problem: Comparing Fractions

Objective: Students will demonstrate both procedural and conceptual understanding of comparing fractions.

Activity Steps:

Begin by introducing the concept of fractions and reviewing the basic procedures for comparing fractions (e.g., finding a common denominator, cross-multiplying).

Provide students with a set of fraction comparison problems (e.g., 2/3 vs. 3/4, 5/8 vs. 7/12) and ask them to solve the problems using the traditional procedural approach.

After students have solved the problems procedurally, engage them in a group discussion to explore the underlying concepts and relationships between fractions. Ask questions such as:

What does it mean for one fraction to be greater than or less than another?

Can you explain why we need a common denominator when comparing fractions?

How can you visually represent and compare fractions to better understand their relative sizes?

Introduce visual aids, such as fraction bars or manipulatives, to help students visualize the fractions and compare them conceptually. Encourage students to reason and explain their thinking.

Have students revisit the fraction comparison problems and solve them again, this time using the conceptual understanding gained from the group discussion and visual aids.

Compare the students' procedural solutions with their conceptual solutions, and discuss the similarities and differences.

Conclude the activity by emphasizing the importance of both procedural and conceptual understanding in solving fraction comparison problems effectively.

By incorporating both procedural and conceptual approaches, this activity allows students to develop a deeper understanding of comparing fractions. The procedural approach provides them with the necessary steps to solve problems efficiently, while the conceptual approach helps them grasp the underlying principles and relationships involved in fraction comparison.

3.2 Example: Conceptual Knowledge vs. Procedural Knowledge

Conceptual knowledge refers to the understanding of underlying concepts, principles, and relationships within a domain, whereas procedural knowledge focuses on knowing the specific steps or procedures to perform a task without necessarily understanding the underlying concepts.

Example: Division of Fractions

Conceptual Knowledge: Understanding the concept of division as the inverse operation of multiplication, and recognizing that dividing fractions is equivalent to multiplying by the reciprocal of the divisor. This understanding allows for generalization and application of division concepts to various fractions.

Procedural Knowledge: Following the specific steps to divide fractions, such as "invert the divisor and multiply" or "keep-change-flip" method. This knowledge involves applying the procedure without necessarily grasping the underlying concept or reasoning behind it.

In this example, Math Proficiency conceptual knowledge involves understanding the fundamental concept of division and its relationship to fractions, enabling flexibility in solving division problems with different fractions. Procedural knowledge, on the other hand, focuses on following a specific set of steps to achieve a correct solution without necessarily comprehending the underlying concept.

For such more questions on Math Proficiency

https://brainly.com/question/16149651

#SPJ8

item 992316 imagine math

Answers

Answer: To look up an answer: Locate the Item Number for the particular problem for which you want the answer. This is at the top of the screen as.

Step-by-step explanation:

4
If f(x)=3(x+5) +-, what is f(a + 2)?
x
4
A. 3(f(a)+5) +-
+5) + f(a) +2
B. 3(a+2)++2
a
C. 3(a+7)+
ST
a+2

Answers

The value of f(a + 2) is 3(a + 7)

How to evaluate the function?

The function is given as:

f(x) = 3(x+5)

Next, we substitute a + 2 for x in the above equation

f(a + 2) = 3(a + 2 + 5)

Evaluate the like terms

f(a + 2) = 3(a + 7)

Hence, the value of f(a + 2) is 3(a + 7)

Read more about functions at:

https://brainly.com/question/2456547

#SPJ1

This is how many classes students at Bronx College take this semester with the probabilities courses1 2 3 4 5 probability (distribution) of taking that many courses.1.1.6.1.1 The variance for this distribution is approximately.

Answers

Answer:

1

Step-by-step explanation:

Given the question above :

The probability distribution :

X : ___ 1 ___ 2 ___ 3 ___ 4 ____ 5

P(x): _ 0.1 __ 0.1 __ 0.6 _ 0.1 __ 0.1

The Variance : Var(X) = (Σx²*p(x)) - μ²

μ = E(X) = Σ(X * p(x)) :

Σ(X * p(x)) = (1*0.1)+(2*0.1)+(3*0.6)+(4*0.1)+(5*0.1)

μ = 3

Var(X): [(1^2*0.1)+(2^2*0.1)+(3^2*0.6)+(4^2*0.1)+(5^2*0.1)] - 3²

= 10 - 9

= 1

Hence. Variance = 1

On a number line, point C is at 8, and the midpoint E of CD is at -3.
Point D is at
on the number line.

Answers

Answer: C

Step-by-step explanation:

Point D is at -14 on the number line.

How to determine the midpoint of a line segment?

In Mathematics, the midpoint of a line segment with two end points can be calculated by adding each end point on a line segment together and then divide by two (2).

Since E is the midpoint of line segment CD, we can logically deduce the following relationship:

Line segment CD = Line segment C + Line segment D

Midpoint E = (point C + point D)/2

By substituting the given points into the equation above, we have the following:

-3 = (8 + D)/2

-6 = 8 + D

D = -6 - 8

D = -14

Read more on midpoint here: brainly.com/question/17918978

#SPJ2

Sam and Jo created a grocery list. To make it easier to look at, they each split the list into equal groups. Sam splits the list into groups of 4 and Jo split the list into groups of 6. What is the smallest number of items that could be on the grocery list?

Answers

Answer:

12

Step-by-step explanation:

The least common multiple of 4 and 6 is what we are looking for

4,8 ,12,16,20

6,12,18

The smallest number is 12

a person can pay $9 for a membership to the science museum and then go to the muses in for just $8 per visit. What is the maximum number of visits a member of the science museum can make for a total cost of $41?

Answers

Answer: 4
Explanation: If You Multiply 9x4 You’d Get 36 And The Total Cost Is $41 So Any Other Visit Over 4 Would Put You Pass The Limit Of $41

If 15% of a number is 45 and 50% of the same number is 150, find 35% of that number.v

Answers

Answer:105

Step-by-step explanation:

let the number is x

Then 15% of x = 0.15x = 45 .

x= 45/0.15

x = 300

now 50 % of x = 0.5x =150

x = 150/0.5

x= 300 (crosscheck correct)

now 35% of 300 = 0.35 ×3000

= 105

which of the following points does not lie on the graph of y=1/2x+3?
A. (10,8)
B. (-2,2)
c. ( 0,3)
d. (-6,-3)

Answers

Answer:

B

Step-by-step explanation:

From the London Summer Olympics 2012 to the Rio Summer Olympics 2016, the number of medals awarded increased by 118.5%. If 962 medals were awarded in London, how many were awarded four years later in Rio?

Answers

Answer:

1,440

Step-by-step explanation:

London 962

Rio       +118.5%

One percent of 962 is 9.62 you get that by moving the decimal place over one place, multiply by 118.5 to get 1,139.97 there is no partial medals so round to the nearest whole number and you get 1,140.

hope this helped! :) feel free to ask any questions and please mark my answer if it helped you thanks!

5/8 divided by -1/10

Answers

Abraham Lincoln's statue in the Lincoln Memorial stands 19 feet tall. Emily creates a model of the statue for art class. If Emily creates her model in
exact proportion to the original with a a height of only 1 foot, which transformation did Emily make?
O None of the Above
O Reflection
O Translation
O Dilation

Answers

Dialation because she only shrunk it
Other Questions
The ambitions of his brother Mirza kamran weekend Humayun cause against Afghan competitors. Can you please tell what it means? pls help me !!! Share Comments AutoSum - 47 Fill - Clear - Sort & Find & Filter - Select Editing M N R S Task Instructions In cell G5, create a customized error alert using the Stop style. Type the text Input Error as the error alert title and Value must be a whole number from 1 to 5 as the message text. 3:27 PM are the concerns that washington had about the nation's foreign affairs still applicable today Explain the interrelationship among health population and environment in terms of education . What is the most common central device used today to connect computers to a network? behaviors that cause hostile environment in an organization typically include Can somebody help me please with my spanish work? list the steps of reasoning that Darwin gave to explain the process of natural selection Exercise 3 Proofread each sentence for spelling, punctuation, and capitalization errors.Jack considered mr. Han, his Algebra teacher,among his personal heros. Which historical interpretation does the source most support?A. European countries had better health care systems than theUnited States after World War IB. U.S. leaders drew on wartime patriotism to promote domesticpolicies after World War I.O C. The U.S. government funded Liberty Loan and War Savingsprograms instead of health care,D. World War I greatly damaged Ohio's health care system and left itin need of major repairs. Drag each tile to the correct location.Match each food item with a culture.cornmeal porridgepastaramenpizzasushichaiJapanKenyaItaly Which action may increase the flasks carrying capacity for rotifers?A. decrease the number of microorganismsb. introduce water fleasc. decrease the size of the flaskd increase the number of microorganisms A skydiver falls 180 feet in three seconds. How far does theskydiver fall per second? Information for questions 13-18: An insurance company determines that a linear relationship exists between the cost of fire damage in major residential fires and the distance from the house to the nearest fire station. A sample of 20 recent fires in a large suburb of a major city was selected. For each fire, the following variables were recorded: x= the distance between the fire and the nearest fire station (in miles) y= cost of damage (in dollars) The distances between the fire and the nearest fire station ranged between 0.6 miles and 6.2 miles One of the most famous "crooners" to emerge from the Swing era was ________________. how was the medieval view of the underverse, mans and mans place in nature change with the discoveries What will be the new pressure of a gas if 24.5 liters of gas at a pressure of 1.00 atm is compressed to 2.00 liters? How many grams of sugar are required to make 336.6g of a 23.48%w/w solution ?Be sure to include correct Units and SigFigs How do I solve this?