consider the function y=-2-cos(x-pi). What effect does pi have on the basic graph?
Answers
Using translation concepts, it is found that pi is the phase shift of the graph, and since it is negative, the graph is shifted right pi units.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
In this problem, the change is given as follows:
x -> x - pi
It means that the change is in the domain, in which pi is the phase shift of the graph, and since it is negative, the graph is shifted right pi units.
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Related Questions
each function
f(x)=-4x-5;
ion for
Find ƒ(1)
for the given
Answers
When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.
The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.
Replacing x with 1, we have:
ƒ(1) = -4(1) - 5
Simplifying further:
ƒ(1) = -4 - 5
ƒ(1) = -9
Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.
Let's break down the steps taken to arrive at the solution:
1. Start with the function f(x) = -4x - 5.
2. Replace x with 1 in the function.
3. Evaluate the expression by performing the necessary operations.
4. Simplify the expression to obtain the final result.
In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.
It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.
Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.
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A coach spent $975.84 on new uniforms for his team. If he bought uniforms for 16 players, how much did each uniform cost? Use r to represent the price of each uniform.
Answers
Answer: for each of the players' uniform it would be $60.99
Step-by-step explanation:
so here would be the equation written out.
975.84=16x
so, to get x by itself you would need to divide by 16.
x=60.99
Brittany asked her classmates: How much time, in minutes, do you spend reading each day? Here are the results: 10, 20, 20, 20, 30, 30, 30, 30, 30, 40, 40, 40, 60, 60, 60 Display the data in a line plot, a histogram, and a box plot. Next to each graph, write down something you notice about the data. Upload your completed plots here.
Answers
The line plot, histogram, and box plot provide different visual representations of the reading time data. By analyzing these plots, we can observe the distribution and characteristics of the data, such as central tendency, spread, and outliers.
Line Plot:
A line plot displays data points on a number line, representing the frequency or count of each value.
In this case, the line plot will show the minutes spent reading on the x-axis and the count of students on the y-axis.
For the given data, the line plot will show 10, 20, 30, 40, and 60 on the x-axis, with the corresponding counts displayed above each value.
Histogram:
A histogram displays data distribution by dividing the range of values into intervals or bins and representing the frequency of values falling into each bin.
The histogram will have the minutes spent reading on the x-axis and the count or frequency of students on the y-axis.
The intervals will be 10-19, 20-29, 30-39, 40-49, and 50-59, with the last interval being 60+.
The height of each bar in the histogram will represent the number of students falling into each interval.
Box Plot:
A box plot (also known as a box-and-whisker plot) provides a visual representation of the distribution of data, including measures of central tendency and variability.
The box plot will show a horizontal line inside a box, with whiskers extending from the box, and possibly individual data points beyond the whiskers.
The box will represent the interquartile range (IQR), showing the middle 50% of the data.
The line within the box will represent the median value.
The whiskers will indicate the minimum and maximum values, excluding outliers.
By analyzing these plots, you can observe the central tendency, spread, and distribution of the reading time data. For example, you can identify any outliers, notice the most common reading durations, and observe any patterns or trends within the dataset.
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Could y’all PLEASE HELP
Answers
Answer:
should be complementary angles
i need help with this ^
Answers
Can anyone tell me the standard form of this parabola equation?
4y^2-x-24y+30=0
And this Circle equation in standard form.
2x^2+2y^2-18x-10y+7=0
Answers
Answer:
\(x=4y^2-24y+30\)
\((x-4.5)^2+(y-2.5)^2=23\)
Step-by-step explanation:
Standard form of a sideways parabola: \(x=ay^2+by+c\)
Given equation:
\(4y^2-x-24y+30=0\)
Add x to both sides:
\(4y^2-24y+30=x\)
\(\implies x=4y^2-24y+30\)
--------------------------------------------------------------------------------------------
Standard form of circle equation
\((x-a)^2+(y-b)^2=r^2\)
(where (a,b) is the center and r is the radius)
Given equation:
\(2x^2+2y^2-18x-10y+7=0\)
Group like terms:
\(2x^2-18x+2y^2-10y+7=0\)
Divide by 2:
\(x^2-9x+y^2-5y+3.5=0\)
Factor by completing the square for each variable:
\((x-4.5)^2-20.25+(y-2.5)^2-6.25+3.5=0\)
Rearrange into standard form:
\((x-4.5)^2+(y-2.5)^2=23\)
Therefore, the circle has a center at (4.5, 2.5) and a radius of √23
Please please someone help me im begging
Answers
Answer:
P'(5, 3)K'(3, 1)Y'(1, 4)Step-by-step explanation:
You want the coordinates of the vertices of triangle PKY after it has been rotated 180° CW about the origin.
Rotation 180°Rotation about the origin by 180° is equivalent to reflection across the origin. Rotation clockwise or counterclockwise has the same result. The transformation of coordinates is ...
(x, y) ⇒ (-x, -y) . . . . . . only the sign changes
ApplicationApplying this transformation to the given points, you have ...
P(-5, -3) ⇒ P'(5, 3)
K(-3, -1) ⇒ K'(3, 1)
Y(-1, -4) ⇒ Y'(1, 4)
suppose that a number written as a decimal has an infinite number of non- repeating digits after the decimal point. What is this number called
Answers
Answer: Irrational number
If the decimal digits repeat forever, then the repeating decimal is considered rational.
For instance, 2/99 = 0.020202020202... where the "02" repeats forever
If we don't have such a pattern, then we cannot write the decimal as a fraction of two integers and the number is not rational. So it is irrational.
put $1000 in an account the account earns $100 simple interest in four years what is the annual interest rate
Answers
Answer: 2.5%
2x² + 5x, what will it a Perfect Square? make
Answers
Answer:
2x² + 5x + c = 0
For this quadratic equation to have one double root, the discriminant must equal 0.
5² - 4(2)(c) = 0
25 - 8c = 0
c = 25/8
2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.
Explanation:2x² + 5x is not a perfect square.
A perfect square is an expression that can be factored into the square of a binomial. To determine if an expression is a perfect square, we can look at the coefficient of x². In this case, the coefficient is 2, which is not a perfect square.Learn more about Perfect Square here:https://brainly.com/question/34063927
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(a movie rental website charges $5.00 per month for membership and $1.25 per movie)
25. Marissa has $18.50 this month to spend on movie rentals
A. how many movies can she view this month
b. Marisa thinks she can afford 11 movies in one month. What mistake could she be making
Pls help me have mean math teacher ;((
Answers
Answer:
a.)she can view 10 movies. b.) One mistake she could be making is that she isn't adding the website fee to her total.
Step-by-step explanation:
Solve for x.
23
13
[21
Answers
Answer:
x = 24
Step-by-step explanation:
The angles are supplementary therefor
(5x + 13) + (x + 23) = 180
Combine like terms
6x + 36 = 180
Subtract 36 from both sides
6x = 144
Divde both sides by 6
x = 24
Answer:
5x+13+x+23=180°[exterior corresponding angle is supplementary.
6x=180-36
x=144/6
x=24
Which best describes how a credit card works?
The credit card company extends you a line of credit. You then pay a small percentage of the cost of those purchases in one annual payment.
The credit card company extends you a line of credit. You purchase "stuff" and the purchase gets directly paid with funds in your checking account.
The credit card company extends you a line of credit. This is free money that you can use to purchase the "stuff" that you need.
The credit card company extends you a line of credit. You purchase "stuff" and then have the choice to pay the balance in full or a minimum payment each month.
Answers
Answer:
D
Step-by-step explanation:
The credit card company extends you a line of credit. You purchase "stuff" and then have the choice to pay the balance in full or a minimum payment each month.
This is the only one that makes sense because of the last sentence which you have the choice to pay in full or a minimum payment
The option that best describes how a credit card works is D. The credit card company extends you a line of credit. You purchase "stuff" and then have the choice to pay the balance in full or a minimum payment each month.
It should be noted that a credit card company typically extends a line of credit to an individual. Then the individual can purchase "stuff" and then have the choice to pay the balance in full or a minimum payment each month.In conclusion, the correct option is D.
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a snake manufacturer has 6.72 pounds of trail mix that will be packaged in bags containing 0.32 pounds each how many packages of trail mix can be filled
Answers
Answer: The snake manufacturer will be able to fill 21 packages of trail mix.
Step-by-step explanation:
Divide the number of pounds(6.72) by the amount that each package/bag can filled with(0.32). Another way to think about it is divide the product by one factor and you will get the other factor.
6.72(product) ÷ 0.32(factor) = 21(factor)
Which means that if you put 6.72 pounds of trail mix into 0.32lb. bags, you will be able to fill 21 of those bags with trail mix.
To check your work, multiply both factors and you should receive the same product. A simple factor x factor = product.
0.32(factor) x 21(factor) = 6.72(product). Your original amount.
Answer:
6
Step-by-step explanation:
because 6.72-0.32 is 6.4 you round the four down and get 6
Identify the level of measurement of the data, and explain what is wrong with the given calculation. In a set of data, mood levels are represented as 0 for bad, 1 for OK, and 2 for good. The average (mean) of the 637 mood levels is 0.9.
The data are at the______ of measurement.
a. ordinal
b. nominal
c. interval
d. ratio
Answers
Answer:
a. ordinal
Step-by-step explanation:
A level of measurement refers to a classification which is used to illustrate the attributes of the values assigned to variables. Basically, there are four (4) levels of measurement for a variable and these are;
1. Ratio: data can be arranged in an ordering scheme and subtracting its differences is meaningful with respect to the value of true zero. Examples are height, price, weight, distance etc.
2. Nominal: is characterized by data that are non-numerical, comprises of categories, labels or names and can't be arranged in an ordering scheme.
3. Interval: data can be arranged in an ordering scheme and subtracting its differences is meaningful. Examples are year, temperature, time etc.
4. Ordinal: data can be arranged in an ordering scheme but subtracting its differences is meaningless or impossible. Examples are happy, sad etc.
Therefore, the data are at the ordinal level of measurement because mood levels were represented as 0 for bad, 1 for OK, and 2 for good.
However, what is wrong with these given calculation; "average (mean) of the 637 mood levels is 0.9." is that the data presented in the question cannot be used to find an average (mean) because the various mood levels were not stated or given, which is a prerequisite for calculating the average (mean) of a population.
Suppose that the relation S is defined as follows.
s={(3, 0), (1, 2), (4, -1), (3, 9)}
Give the domain and range of S.
Write your answers using set notation.
Answers
The most appropriate choice for relation, domain and range will be given by-
Domain of S = {3, 1, 4}
Range of S = {0 , 2, -1, 9}
What is relation, domain and range?
A relation over set A and B is the subset of the cartesian product A x B.
Domain of a relation is the set of values for which the relation is defined.
Range is the set of solution obtained on putting the values of domain.
The relation S is defined as follows
S = {(3, 0), (1, 2), (4, -1), (3, 9)}
Now the set of values for which the relation is defined is the domain of the relation
For each ordered pair, the first number gives the values to be put in S. So the first number of every ordered pair is the domain.
So domain of S = {3, 1, 4}
Now, the second number gives the solution after putting the numbers in S.
So the second number of every ordered pair represents the range.
So, range of S = {0 , 2, -1, 9}
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Desert Shores, California is located at an elevation that is below sea level. What is a possible elevation of Desert Shores, California?
A) 600 ft.
B) 500 ft.
C) -- 200 ft.
D) 0 ft.
Answers
Answer:
C) -- 200 ft.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
That is the only negative answer
Simplify each expression. Justify each step
4 x 9 x 50 =
Plz fast
Answers
So, at first, this looks a little bit tricky but, we can actually break it down and then multiply with easy numbers.
First off, we can multiply 4 by 9 which is 45 however, we still have that major 50 so, to make it easier, we can just change the 50 to a 5 and then add the 0 at the end when we get our answer.
45 * 5
= 225
Lastly, we just need at put and add a zero (0) to our answer so, in conclusion, the answer to this question is: 2250.
A student ran out of time on a multiple choice exam and randomly guessed the answers for two problems. Each problem had 5 answer choices – a, b, c, d, e – and only one correct answer. What is the probability that she answered both of the problems correctly? Write your answer as a fraction in simplest form
Answers
The probability that the student, who ran out of time on a multiple choice exam and randomly guessed the answers for two problems, answered both of the problems correctly is ⁹/₂₅.
What is the probability?Probability refers to the likelihood of an expected outcome occurring out of many possible outcomes.
Probability is computed as the quotient of expected outcome over total outcomes.
The number of questions left = 2
The number options of for each question = 5
Since there are 5 options for each question, 4 of which are wrong, the probability of getting both wrongs is:
⁴/₅ x ⁴/₅ = ¹⁶/₂₅ = 0.64 or 64%
Therefore, probability of getting both questions correct is 36% (1 - 64%) or ⁹/₂₅ (1 - ¹⁶/₂₅).
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I need help find the value ok k the diagram is not to scale
Answers
Answer:
73⁰
Step-by-step explanation:
it's so simple... we know total angle of a traingle is 180⁰
so
62⁰+45⁰+k⁰ = 180⁰
107⁰+k⁰=180⁰
k = 180⁰ - 107⁰
K=73⁰
Which equation shows the relationship between X, the number of minutes and y, the price
Answers
The equation that shows the price to rent a scooter for any number of minutes will be D. y=0.15x
How to compute the equation?It is illustrated that the price of the scooter rental is $0.15 per minute. Therefore, 1 minute = $0.15
Jana rented a scooter for $60 minutes. This will be:
= 0.15 × 60
= $9
To frame an equation that shows the price to rent a scooter for any number of minutes :
Let us take,
The variable 'y' = the total price.
The variable 'x' = number of minutes for rental.
Total price = price of rent per minute × any number of minutes
y = 0.15 × x
y = 0.15x
Therefore, the appropriate equation is y = 0.15x.
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City scooters charges customers by the minute to rent an electric scooter. Jana rented a scooter for $60 minutes and paid $9. Write an equation that shows the price to rent a scooter for any number of minutes
The price of the scooter rental is $0.15
A: x=9y
B: y=9x
C: x=0.15y
D: y=0.15x
Answer: y=0.15x
Step-by-step explanation:
I ready
11-2n and 4-5n
Solve it
Answers
Answer:
\(n=2\frac{1}{3}\)
Step-by-step explanation:
Im assuming you mean
\(11-2n=4-5n\)
Solve
\(11-2n=4-5n\)
add \(5n\) to both sides
\(11+3n=4\)
subtract \(11\) from both sides
\(3n=-7\)
divide both sides by 3
\(n=2\frac{1}{3}\)
In ΔHIJ, h = 33 cm, i = 61 cm and j=39 cm. Find the area of ΔHIJ to the nearest square centimeter.
Answers
Thus, the area of ΔHIJ using the Heron's formula is found as 580.47 square centimeter.
Explain about the Heron's formula:Heron of Alexandria (c. 62 ce) is credited with developing the Heron's formula, which determines the area of a triangle in regards of the lengths of its sides. If the side lengths are represented by the symbols a, b, and c: √s(s - a)(s - b)(s - c)
where s = half the perimeter,
s = (a + b + c)/2.
given data:
In ΔHIJ,
h = 33 cm, i = 61 cm and j =39 cm.semi -perimeter s = (i + j + h) / 2
s = (33 + 61 + 39) / 2
s = 66.5
Now,
s - h = 66.5 - 33 = 33.5
s - i = 66.5 - 61 = 5.5
s - j = 66.5 - 39 = 27.5
area of ΔHIJ = √s(s - h)(s - i)(s - j)
area of ΔHIJ = √66.5*33.5*5.5*27.5
area of ΔHIJ = √336947.1875
area of ΔHIJ = 580.47
Thus, the area of ΔHIJ using the Heron's formula is found as 580.47 square centimeter.
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If APR on credit card is 17.8% what is the daily percentage rate (DPR)?
Answers
The daily percentage rate (DPR) for the given Annual Percentage Rate (APR) on credit card is 17.8% is equal to 0.048%.
Given the Annual Percentage Rate (APR) on credit card is 17.8%.
Now, we need to find the daily percentage rate (DPR) for the given yearly percentage on credit card.
To find your current annual percentage rate, look at your monthly statements. To determine the daily percentage rate (DPR), divide the annual percentage rate (APR) by 365 (the number of days in a year).
So, given APR = 17.8%
Now, daily percentage rate will be:
⇒ Daily percentage rate = Annual Percentage Rate ÷ 365
⇒ DPR = APR / 365
⇒ DPR = 17.8% ÷ 365
⇒ DPR = 0.048%
Therefore, daily percentage rate (DPR) is equal to 0.048%.
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HELP Will mark brainlist
Answers
Answer:
Its B since the decimals are lower than the data.
If there are penguins in the aquarium is full of fish, then this is an octopus write
this in Symbolic form
Answers
The compound statement "If there are penguins and the aquarium is full of fish, then this is an octopus" can be written in symbolic form as: r ∧ q → o
How to explain the informationLet's assign variables to represent the statements:
q: The aquarium is full of fish.
r: There are penguins.
The compound statement "If there are penguins and the aquarium is full of fish, then this is an octopus" can be written in symbolic form as: r ∧ q → o
∧ represents the logical operator "and" which connects the statements r and q.
→ represents the logical operator "implies" or "if...then".
o represents the statement "this is an octopus".
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What are the steps for solving and graphing 2x - 3y = 9?
please help!
Answers
Answer:
Step-by-step explanation:
Question 6 of 10
How does the graph of f (x) = 3 (4)−5+ relate to its parent
function?
A. The parent function has been translated up.
B. The parent function has been translated to the right.
C. The parent function has been stretched.
D. The parent function has been compressed.
Answers
In this case, f(x) = 3(4)−5+ has been stretched and translated up from the parent function. The correct options are A & C.
The graph of the function f(x) = 3(4)−5+ has been transformed from the parent function by the following ways: Translation and vertical stretch of the parent function.
When a function is transformed from its parent function, the transformed function may be shifted up or down, left or right, or stretched or compressed horizontally or vertically from the parent function. In this case, f(x) = 3(4)−5+ has been stretched and translated up from the parent function.
What is a parent function? A parent function is the most basic function of a family of functions that retains its shape and behavior. The parent function serves as a template for all other functions in the family.
The properties and behavior of a function depend on the parent function, which acts as a standard for the transformation of a function from the parent function.
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how many inches would represent 315 miles
Answers
Answer: 19,958,400
Step-by-step explanation: Multiply the length value by 63360.
315 x 63,360 = 19,958,400
Which statement is a counterexample to:
"All basketball players are more than 6 feet tall."
Answers
Answer:
Always when we have a statement like:
"all of {some group} have {a given property}"
A counterexample of this is:
"There exists at least one element of the given group that does not meet the property"
Then we have the statement"
All basketball players are most than 6 ft tall
The counterexample would be:
There exist one basketball player that measures 6ft
or
There exist one basketball player that measures less than 6ft