50 POINTS!!!!
Analyze the graph of the cube root function shown
on the right to determine the transformations of the
parent function. Then, determine the values of a, h,
and k in the general equation.
y = a3x - h + k
h =
k=
Answer:
Let's solve for h.
y=a3x−h+k
Step 1: Flip the equation.
a3x−h+k=y
Step 2: Add -a^3x to both sides.
a3x−h+k+−a3x=y+−a3x
−h+k=−a3x+y
Step 3: Add -k to both sides.
−h+k+−k=−a3x+y+−k
−h=−a3x−k+y
Step 4: Divide both sides by -1.
−h
−1
=
−a3x−k+y
−1
h=a3x+k−y
Answer:
h=a3x+k−y
Let's solve for k.
y=a3x−h+k
Step 1: Flip the equation.
a3x−h+k=y
Step 2: Add -a^3x to both sides.
a3x−h+k+−a3x=y+−a3x
−h+k=−a3x+y
Step 3: Add h to both sides.
−h+k+h=−a3x+y+h
k=−a^3x+h+y
Answer:
k=−a^3x+h+y
Step-by-step explanation:
The required values are h = 1 and k = 4 the given cube root function.
What is the cube root function?The cube root function is a function that takes the cube root of its input. The formula for the cube root function is:
f(x) = ∛x
The graph is given in the question, as shown.
To find the symmetric center of the cube root function, we need to find the point on the function that is equidistant from the two opposite sides of the function graph.
Since the given cube root function is an odd function, it is symmetric about the point (1, 4).
So, the symmetric center of the cube root function is the point (1, 4).
Thus, h = 1 and k = 4
Therefore, the required values are h = 1 and k = 4 the given cube root function.
Learn more about the cube root function here:
https://brainly.com/question/29082141
#SPJ2
The complete question would be as:
15-2X = -45 how do I show My work for this?
Answer:15-2x=-45
15-2=13
13=-45
Step-by-step explanation:
I hope that helps you!
Answer:
x = 30
Step-by-step explanation:
15 - 2x = -45
+ 2x to both sides
15 = 2x - 45
+ 45 to both sides
60 = 2x
divide both sides by two
x = 30
A theater sold 465 tickets for the morning show and 576 tickets for the evening show. The theater makes $16 for each ticket sold. How much money did the theater make selling tickets for the morning show? ANSWE QUICKKK
Find the missing side. Round to the nearest tenth
Answer:
x = 12.5
Step-by-step explanation:
From the diagram,
Applying
tanФ = Opposite/Adjacent...................... Equation 1
From the diagram,
Given: Opposite = 16, Adjacent = x, Ф = 52°
Substitute these values into equation 1
tan52° = 16/x
make x the subject of the equation
x = 16/tan52°
x = 16/1.27994
x = 12.5.
Select Parameter or Statistic to classify each statement.
1.) 85% of those surveyed were in favor of bike lanes.
Parameter or Statistic
2.) Each member of the soccer team has an average of 2 jerseys.
Parameter or Statistic
3.) Of the 100 swim teams surveyed across America, 23 practice 10 hours a week.
Parameter or Statistic
4.) The golf team's average score is 79.
Parameter or Statistic
Answer:
1) Statistic
2) Parameter
3) Statistic
4) Parameter.
Step-by-step explanation:
Parameter: is a number that describes the whole population.
Statistic: is a number that describes a sample.
The difference is:
50% of the cats are nice (parameter, because talks about all the cats)
out of 100 cats surveyed, 39 are nice (statistic, because talks about a sample of 100 cats)
Then:
1) 85% of those surveyed were in favor of bike lanes.
This only refers to the surveyed people, so this only refers to a sample (and not the population that this sample represents) then this is a statistic statement.
2) Each member of the soccer team has an average of 2 jerseys.
In this case, we are talking about the whole population (the soccer team) then this is a parameter
3) Of the 100 swim teams surveyed across America, 23 practice 10 hours a week.
Here the information is about the sample (only 100 swim teams). So here the correct option is statistic.
4) The golf team's average score is 79
Here the information is about the average score for the entire golf team, so this information is about all the population in the golf team, then in this case the correct option is parameter.
Answer:
Statistic
Parameter
Statistic
Parameter
Step-by-step explanation:
i took the test :)
Give an example of tangents in the real world that have not been presented in this lesson.
Explain how you know the tangent and the radius in your example are perpendicular.
This is in relation to tangent lines and not cosine, sine, etc!
My example is attached via photo!
Answer:
Hey! Sorry im too late lol but here-
Step-by-step explanation:
Example of tangent in the real world-
When a stone gets tied at one end of a string & the other end is rotated, then the stone will form a circle.
How you know the tangent and radius are perpendicular:
The radius is formed vertically and is completely straight, while the tangent is completely straight but horizontal. You can draw a right triangle angle between the radius and tangent line by adding a third line, and a right angle is 90 degrees. So, this forms a perpendicular line.
Hope this helped :))
Part A: The path of the ball in relation to the curved path of the thrower
Part A: The path the ball takes is perpendicular to the hand, bat or feet at the point of last contact
Reason for the selection:
Part A
A real world example of tangents is the direction of a ball immediately it is released and the circular path of the motion, that provides the force input that is given to the ball to cause it to move in the required direction
The tangent is the path the ball takes immediately it is moving without contact to the bat, hand or feet that causes it to move
The circular path is the motion of the hand, leg, bat or feet that makes before the ball is released
The radius is the hand, leg, or bat that rotates in a circular path, so as to move the ball
Part B
How the radius is perpendicular to the tangent
The radius, such as the leg kicking a ball is perpendicular to the tangent of the which is the path of the ball because a kick to send the ball into air, the orientation of leg at the point the ball leaves is perpendicular to the angle of elevation with which the ball is launched
Learn more about tangents here:
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PLEASE HELP
On the graph below, Point A is located at the intersection of angle θ and the unit circle.
What are the exact coordinates of point A?
Use the on-screen keyboard to type the answer in the box below.
https://imgur.com/a/UwbnsCV
Answer:
1/2,
Step-by-step explanation: Please find the attached image of unit circle.
We have been given that the measure of angle t is 60 degrees. We are asked to find the x-coordinate of the point where the terminal side intersects the unit circle.
We know that x-coordinate on unit circle represents cosine and y-coordinate represents sine of a given angle.
We can see from our attachment that x-coordinate of the point at angle 60 degrees is , therefore, x-coordinate of the angle of 60 degrees, where the terminal side intersects the unit circle is .
Find the amount of wood trim needed to frame a circular window with a diameter of 1.75 ft. Use 3.14 for n.
Answer:
2.40 ft I believe
Step-by-step explanation:
divide diameter by two
put 3.14 time diameter divided by two and square it
Which statement is true?
Group of answer choices
An equilateral triangle is never an acute triangle.
An isosceles triangle is sometimes a scalene triangle.
An acute triangle is always an equilateral triangle.
A equilateral triangle is always an isosceles triangle.
Answer:
An equilateral is always an isosceles triangle.
Step-by-step explanation:
An employer wants to determine the amount of job satisfaction experienced by his employees. Which sampling
method is most likely to result in undercoverage?
Answer:
C: Employees are assigned to one of four pay scales. Randomly select a pay scale and survey every employee in that pay scale
Step-by-step explanation:
Looking at the given options, the one that will likely result in undercoverage will be option C. This is because even after assigning employees to any of the 4 payscales, when randomly selecting for survey, he picked only one pay scale and surveyed every on there. Since he didn't include at least one person in the other pay scales, he will not have covered every pay scale which he will need to make a conclusion on job satisfaction experienced by his employees.
expand : log3(x^3/81y^2)
Answer:
Use rules of logarithms to expand.
2
log
3
(
x
)
−
4
−
4
log
3
(
y
)
Step-by-step explanation:
A pound of chocolate costs 8 dollars. Kala buys p pounds. Write an equation to represent the total cost c that Kala pays.
Answer:
8p=c
Step-by-step explanation:
For questions like this, it isn't asking for a numerical answer or anything complicated. It's mainly just using common sense and figuring out what you would do if you had actual numbers instead of variables. You would multiply the amount of pounds (p) by the cost per pound of $8, and that would be your answer (c). I hope I could help.
Cooper invested $3,100 in an account paying an interest rate of 2%
compounded quarterly. Robert invested $3,100 in an account paying an
interest rate of 3 % compounded continuously.After 12 years, how much
more money would Robert have in his account than Cooper, to the nearest
dollar?
Answer:
Robert will have $481 more in his account than Cooper.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Continuous compounding:
Similar to compound interest:
[tex]A(t) = P(1 + r)^t[/tex]
Cooper:
Cooper invested $3,100 in an account paying an interest rate of 2% compounded quarterly. This means that [tex]P = 3100, r = 0.02, n = 4[/tex]
After 12 years is A(12). So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(12) = 3100(1 + \frac{0.02}{4})^{4*12}[/tex]
[tex]A(12) = 3938.5[/tex]
Cooper will have $3938.5 in his account.
Robert:
Robert invested $3,100 in an account paying an interest rate of 3 % compounded continuously. So [tex]P = 3100, r = 0.03[/tex].
After 12 years.
[tex]A(t) = P(1 + r)^t[/tex]
[tex]A(12) = 3100(1 + 0.03)^{12}[/tex]
[tex]A(12) = 4419.9[/tex]
Robert will have $4419.9 in his account.
How much more money would Robert have in his account than Cooper, to the nearest dollar?
4419.9 - 3938.5 = 481.4
To the nearest dollar, Robert will have $481 more in his account than Cooper.
PLEASE HELP!Write the standard form of equation with p=sqrt3, 0=150°
Answer:
I heard it's not b
Step-by-step explanation:
was A the correct answer?
The results of a survey of 38 students and the foreign language they are studying are shown in the two-way frequency table. Language Gender Chinese French Spanish Total Girl 4 7 10 21 Boy 1 1 15 17 Total 5 8 25 38 What fraction of the surveyed students are taking Chinese? of the surveyed students are taking Chinese.
Answer:
5/38
Step-by-step explanation:
A fraction is a quantity that is not a whole number. In maths, a fraction usually has a numerator and a denominator.
The numerator is the number above. While the denominator is the number below
an example of a fraction = [tex]\frac{4}{5}[/tex]
4 is the numerator while 5 is the denominator
fraction of the surveyed students are taking Chinese = total number of students surveyed / total number of students surveyed
5/38
You are a school photographer taking individual and class pictures for 2 classes of 21 students each. On average, each individual picture takes 3 minutes and a class picture takes 10 minutes. About how long should it take you to take all of the pictures? A 1 hour 3 minutes B 1 hour 13 minutes C 2 hours 6 minutes D 2 hours 16 minutes E 2 hours 26 minutes
Answer:
C 2 hours
Step-by-step explanation:
hope it's helpful
thank you
A roulette wheel has 383838 slots, of which 181818 are red, 181818 are black, and 222 are green. In each round of the game, a ball is tossed in the spinning wheel and lands in a random slot. Suppose we watch 777 rounds of this game, and let RRR represent the number of rounds where the ball lands in a red slot.
Answer:
Of the 777 rounds of the game in about 368 the ball will land in a red slot.
Step-by-step explanation:
Since a roulette wheel has 383838 slots, of which 181818 are red, 181818 are black, and 222 are green, and in each round of the game, a ball is tossed in the spinning wheel and lands in a random slot, supposing we watch 777 rounds of this game, to determine the approximate number of rounds where the ball lands in a red slot, the following calculation must be performed:
383838 = 100
181818 = X
181818 x 100/383838 = X
18,181,800 / 383838 = X
47.3684 = X
100 = 777
47.3684 = X
47.3684 x 777/100 = X
36,805.24 / 100 = X
368.05 = X
Therefore, of the 777 rounds of the game in about 368 the ball will land in a red slot.
What is the sum? Complete the equation.
8+(-18) =
for a March past competition on sports day the house captain of one house cut 25 pieces of ribbon each 1/2 metre in length.what was the length of ribbon cut altogether
Answer:
not lenguague spanish
Step-by-step explanation:
that bad
Figure abc is a triangle with a base of 22 inches if abc is dilated by a scale factor of 0.5 what will be the base of the figure
Answer:
11
Step-by-step explanation:
Scale factor 0.5 means 1/2
so multiply base length with scale factor
22×0.5 = 11
The County Fair features rides, exhibitions, and games of chance. Luca decides to play Wheel of Letters. To play the game, contestants spin a wheel with 26 equal sections, lettered A through Z. If the pointer lands on any letter in the phrase “COUNTY FAIR,” the contestant wins a prize.
Part B:
Of the first 52 contestants, exactly 12 contestants win the game. How does the actual number of winners compare to the expected number of winners? What needs to happen for the experimental probability to approach the theoretical probability? Explain.
Answer:
woow
Step-by-step explanation:
Answer:
Step-by-step explanation:
cheese
Factor this trinomial. Your answer should consist of two binomials.
n^2-11n +28
Answer:
(n-4)(n-7)
Step-by-step explanation:
hopefully that helps
Heather had 20 stickers. She bought 27 stickers from a store in the mall and got 6 stickers for her birthday. Then Heather gave 4 of the stickers to her sister and used 11 to decorate a greeting card. How many stickers does Heather have left?
Answer:
38 stickers
Step-by-step explanation:
20+27=47
47+6=53
53-4=49
49-11=38
20+27+6-(4+11)=38 stickers
elementary math! please help Mark brainlist
Answer: 1 minute and 43 seconds faster
Step-by-step explanation:
Answer:
1 minute and 43 seconds faster
Step-by-step explanation:
Find the volume of cylinder
Answer:
1539.4 rounded
Step-by-step explanation:
Have a great day
Pls pls pls pls help pls
Answer:
only 5
Step-by-step explanation:
Directions: Use the information given to write the equation of the circle in standard form.
16. center:(-10,-4), point on circle: (4, -2) 17. center: (-9, -3), point on circle: (-11, 2) 18. center: (5.-7), point on circle: (-3,-1)
19. center: (8,2), point on circle: (14,-1) WO
Answer:
subject?
Step-by-step explanation:
What number must you add to the polynomial below to complete the square?
x2 + 15x
Answer:
The number [tex]\frac{225}{4}[/tex] is added to the polynomial below to complete the square.
Step-by-step explanation:
Perfect square binomial:
A perfect square binomial is given by:
[tex](a + b)^2 = a^2 + 2ab + b^2[/tex]
In this question:
We have that:
[tex]a^2 + 2ab + b^2 = x^2 + 15x + ?[/tex]
Since [tex]a = x[/tex], we have that:
[tex]2ab = 15x[/tex]
[tex]2b = 15[/tex]
[tex]b = \frac{15}{2}[/tex]
Completing the square:
The term that completes the square is [tex]b^2[/tex]. So
[tex]b^2 = (\frac{15}{2})^2 = \frac{225}{4}[/tex]
The number [tex]\frac{225}{4}[/tex] is added to the polynomial below to complete the square.
From a bag containing 6 white balls, 3 black balls and 13 red balls, two balls are drawn at random. What is the probability that they are both red without replacement?
a) 26/77
b) 9/10
c) 1/2
d)5/77
Answer:
Probability [Both ball red without replacement] = 26 / 77
Step-by-step explanation:
Given:
Number of white ball in beg = 6 balls
Number of black ball in beg = 3 balls
Number of red ball in beg = 13 balls
Find:
Probability [Both ball red without replacement]
Computation:
Probability of first red ball = Number of red ball in beg / [Total balls in beg]
Probability of first red ball = 13 / [6 + 3 + 13]
Probability of first red ball = 13 / 22
Probability of Second red ball = Number of remaining red ball in beg / [Total balls in beg without replacement]
Probability of Second red ball = [13 - 1] / [6 + 3 + 12]
Probability of Second red ball = 12 / 21
Probability [Both ball red without replacement] = [Probability of first red ball][Probability of Second red ball]
Probability [Both ball red without replacement] = [13/22][12/21]
Probability [Both ball red without replacement] = 26 / 77
A beach volleyball court is 9 meters wide and 17 meters long. The rope used for the boundary line costs $4.00 per meter. How much would it cost to buy a new boundary line for the court?