The graph of the parent function, y=√x transformed to produce the graph of y=√-2x as D. It is horizontally compressed by a factor of 2 and reflected over the y-axis.
How to explain the graphThe graph of y=√-2x is obtained from the graph of y=√x by applying two transformations: a horizontal compression by a factor of 2 and a reflection over the y-axis.
To see this, we can use the following steps:
Start with the graph of y=√x, which is a curve that passes through the origin and increases without bound as x increases.
To compress the graph horizontally by a factor of 2, we replace x with x/2 in the function. This gives us y=√(x/2), which is equivalent to y=(1/√2)√x. This transformation squeezes the graph horizontally by a factor of 2, making it steeper and narrower.
To reflect the compressed graph over the y-axis, we replace x with -x in the function. This gives us y=(1/√2)√-x, which is equivalent to y=(1/√2)i√x, where i is the imaginary unit. This transformation flips the graph horizontally, reflecting it over the y-axis.
Therefore, the correct answer is that the graph of y=√-2x is horizontally compressed by a factor of 2 and reflected over the y-axis.
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Convert the unit rate: 60 mi/h = Ft/s
Please help me!
1 mile = 5,280 feet.
60 miles x 5,280 = 316,800 total feet.
1 hour = 3,600 seconds.
316,800 feet / 3,600 seconds = 88 feet per second.
The answer is 88 ft/s
PLEASE HELP IF I DONT GET THIS IN 10 MIN ILL BE TOAST
Answer:
your answer will be
1 -y is a variable
3- y is a term
4 -9 is a constant
6- 9 is a term
Step-by-step explanation:
if i'm wrong please correct me i hope i helped though
leila and joe are two partner's in a business. leila makes $2 in profits for every $5 that jo makes if jo makes $25 profit on the first item they sell, how much profit does leila make
Answer:
$10
Step-by-step explanation:
I HOPE THIS HELPS YOU OUT WITH YOUR QUESTION! PLZ LET ME KNOW IF IT DID! IT MAKES ME FEEL GOOD THAT SOMEONE APPRECIATES IT! ANYWAY, IF YOU HAVE A FEW MINUTES PLZ GOT TO MY PROFILE AND THANK MY ANSWERS (THE MORE THE MERRIER)
The diameter of a round skating
rink is 15 m. Find the circumference
of the rink to the nearest meter.
Answer: 47 meters
Step-by-step explanation:
The equation for the diameter of a circle is \(C=d\pi\), so we just multiply the diameter (15) by \(\pi\). \(15\pi\), or roughly 47.1238898038. Rounded to the nearest meter, 47 meters. Also, happy pi day!
(Click on the picture to see question) please help me!
Hi there! Using one of the logarithmic property below:
\( \large \boxed{ log_{a}(b) = n \longrightarrow {a}^{n} = b}\)
From the equation:
\( \large{ log_{2}(y) = x + 7}\)
Therefore,
\( \large{ {2}^{x + 7} = y} \\ \large{y = {2}^{x + 7} }\)
Answer
y = 2^(x+7) the second choice.$35.24
with a
20% tip
Answer:
$42.288
Step-by-step explanation:
20%=0.2
0.2*35.24=7.048
35.24+7.048=42.288
the functio f(x)=square root is translated using the rule (x,y) --> (x-6,y+9) to create A(x). which expression describes the range of A(x)?
Answer: Range is \(y \ge 9\)
Explanation:
The range of \(f(x) = \sqrt{x}\) is \(y \ge 0\)
In other words, it's the set of nonnegative real numbers.
We only focus on the y values. We go from y to y+9, which means we shift each (x,y) point 9 unit sup.
Since we shifted 9 units up, we add 9 to each y value and that effectively moves the lowest point in the range (0) up nine units.
So we go from \(y \ge 0\) to \(y \ge 9\)
If you need the range in interval notation, then you would write \([9, \infty)\). Note the square bracket next to the 9 so we include this as part of the range.
Will give Brainliest!!!!!!!
Answer:
\(56e \geqslant 53 \geqslant \)
Hi
What is 60 + 9.000000000
Answer:
69
Step-by-step explanation:
Answer:
69.000000000
Step-by-step explanation:
add 60 plus 9.000000000 and you get 69.000000000
what is the perimeter of this tile 3 3
Answer: it’s 12 in
Step-by-step explanation:
I did it and got it right in I-ready
This graph represents the flight path of a model rocket launched in a park.
What do the key features of the curve represent in terms of the flight path of the rocket?
Chose from the drop-down to match each situation.
ill give brainlyest to the first to correctly answer this
The drop down menu is used to match each situation as below.
1. The rocket reached its maximum the x-value of the vertex
height in 5 s.
2. ground level the y-intercept
3. The rocket launcher was the y-value of the point containing
on the ground. the x-intercept on the right
4. The rocket was in the air 10 the x-intercept on the right
5. The maximum height of the the y-value of the vertex
rocket is 50 ft.
6. the time the rocket was the x-value of the point containing the
launched y-intercept
What is the key feature of the curveThe key features of the curve such as the x intercept is the point the launcher and the rocket were on ground.
The vertex is the point the rocket had the maximum and height.
Generally, the curve traces a parabolic path
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A zip wire runs between two posts, 25m apart. The zip wire is at an angle of 10∘ to the horizontal. Calculate the length of the zip wire.
The length of the zip wire is approximately 25.42 meters.
To calculate the length of the zip wire, we can use trigonometry and the given information about the angle and the distance between the two posts.
Given:
Distance between the two posts: 25m
Angle of the zip wire to the horizontal: 10°
We can use the trigonometric function cosine (cos) to find the length of the zip wire. Cosine relates the adjacent side to the hypotenuse of a right triangle.
In this case, the adjacent side is the distance between the two posts (25m) and the hypotenuse is the length of the zip wire that we want to calculate.
Using the cosine function:
cos(angle) = adjacent/hypotenuse
cos(10°) = 25m/hypotenuse
To find the hypotenuse (length of the zip wire), we can rearrange the equation:
hypotenuse = 25m / cos(10°)
Using a calculator or trigonometric tables, we can find the value of cos(10°) to be approximately 0.9848.
Therefore, the length of the zip wire is:
hypotenuse = 25m / 0.9848 ≈ 25.42m
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Which rule describes the function whose graph is shown?
Answer: B
Step-by-step explanation:
from edge
Answer:
B
Step-by-step explanation:
Edge 2022
Slope = 3/4 and y intercept of 1
Answer:
It's in the attached file below :)
Step-by-step explanation:
75,232 = ___ in
expanded form
Answer:
seventy-five thousand two hundred thirty-two
Step-by-step explanation:
An image of a rectangular prism is shown below: Part A: If a cross section of the prism is cut perpendicular to the base, what would be the shape of the resulting cross section? Explain your answer. (5 points) Part B: If a cross section of the prism is cut diagonal to the base, what would be the shape of the resulting cross section? Explain your answer. (5 points)
A: it would be a rectangular prism as well! a section perpendicular to the base is parallel to the sides of the prism
B: the section would be a triangular prism!
whenever I get those questions, I always imagine a small cube of cheese, and if you have trouble imagining sections etc, I'd really suggest trying it! it sharpens your mind and helps you understand how it looks! otherwise, a great program for visualizing math problems is geogebra. it not only helps you draw everything out but solves your problems half of the time tbh
46. The table shows the temperature (in degrees) for eight consecutive days as well as the
respective number of ice cream cones an ice cream shop sold on each of these days.
Temperature 68 77 83 85 89 94 96 99
Number of Cones 403 447 457 465 489 503 543 576
About how many ice cream cones would you expect the shop to sell if the temperature one day
is 106 degrees? Find a line of best fit for this data and use it to make your prediction.
0579 cones
0585 cones
O 602 cones
(617 cones
A line of best fit for this problem is y = 5.08x + 46.59. The number of ice cream cones that you would expect the shop to sell if the temperature one day is 106 degrees is; 585 cones
How to find the line of best fit?A graph of the scatter plot and line of best fit is as shown in the attached file.
The temperature in this problem is the independent variable, or x. This is due to the fact that we are assuming that the particular number of ice cream cones sold will depend on the temperature. Therefore, we can say that the number of ice cream cones will be the dependent variable, or y.
Therefore in our graphing calculator, we will enter temperature in the first list and then the number of cones in the second.
Sequel to drawing the scatter plot, we run the linear regression; we get the values for a and b in our equation, y = ax + b:
a = 5.08
b = 46.59
Therefore, the equation is;
y = 5.08x + 46.59.
Entering our temperature of 106 degrees, for x gives;
y = 5.08(106) + 46.59
= 585.07
≈ 585
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The Unit Circle
Determine the coordinates of the point on the unit circle corresponding to the given central angle. If necessary, round your results to the nearest hundredth.
29°
a. (0.87, 0)
b. (0.87, 0.48)
c. (0.48, 0.87)
d. (1, 0.48)
Please select the best answer from the choices provided
Answer:
B. (0.87, 0.48)
Step-by-step explanation:
I calculated it logically
Steps to solve 5x +3 = 25x – 2
Answer: so you have to rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation. There are 3 possible answers x=1
x=6
x=0
I hope this helps if not I’m rlly sorry.
3 1/3 divided by 1 1/5
Answer:
25/9
Step-by-step explanation:
3 1/3 ÷ 1 1/5
3 1/3 = 10/3
1 1/5 = 6/5
10/3 ÷ 6/5 = 10/3 x 5/6 = 50/18 = 25/9
So, the answer is 25/9
help me with this please
Answer:
i have no idea good luck i will try to get the answer for ya though
Step-by-step explanation:
.
Help pls i dont understand this
The percent change in the number of water bottles the company manufactured from February to April is 19.5%, to the nearest percent.
What is the percentage?A % is a quantity or ratio that, in mathematics, represents a portion of one hundred. A dimensionless relationship between two numbers can be represented in a variety of ways, such as through ratios, fractions, and decimals.
The total number of water bottles the company manufactured in February, March, and April.
In February, the company manufactured 4,100 water bottles. In March, the company manufactured 7% more water bottles than in February, which is 7/100 * 4,100 = 287 water bottles.
Therefore, the total number of water bottles the company manufactured in March is 4,100 + 287 = 4,387 water bottles. In April, the company manufactured 500 more water bottles than in March, which is 4,387 + 500 = 4,887 water bottles.
This is calculated as (4,887 - 4,100) / 4,100 = 0.195 or 19.5%.
Therefore, the percent change in the number of water bottles the company manufactured from February to April is 19.5%, to the nearest percent.
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how do you turn 372800 into scientific notation
Answer:
3.78x10^5
Step-by-step explanation:
A company considers buying a machine to manufacture a certain item. When tested, 28 out of 600 items produccd by the machine were found defective. Do the data support the hypothesis that the defect rate of the machine is smaller than 3%, at the 5% significance level?
H0:p≥0.03
Ha:p<0.03
α=0.05
Critical value z=−1.645
Reject H0 if z<−1.645
Test statistic
⇒Z0=X¯¯¯¯¯−μoσ/n√=>0.0467−0.030.03∗0.97/600√=14.057
Therefore, we fail to reject H0. There isn't enough evidence to say that defect rate of machine is smaller than 3%.
Answer:
The p-value of the test is 0.9918 > 0.05, which means that we fail to reject \(H_0\), as we do not have enough evidence to say that defect rate of machine is smaller than 3%.
Step-by-step explanation:
The null and alternate hypothesis are:
H0:p≥0.03
Ha:p<0.03
The test statistic is:
\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)
In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.
0.03 is tested at the null hypothesis:
This means that \(\mu = 0.03, \sigma = \sqrt{0.03*0.97}\)
28 out of 600 items produced by the machine were found defective.
This means that \(n = 600, X = \frac{28}{600} = 0.0467\)
Value of the test-statistic:
\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)
\(z = \frac{0.0467 - 0.03}{\frac{\sqrt{0.03*0.97}}{\sqrt{600}}}\)
\(z = 2.4\)
P-value of the test:
The p-value of the test is the probability of finding a sample proportion below 0.0467, which is the p-value of z = 2.4.
Looking at the z-table, z = 2.4 has a p-value of 0.9918.
The p-value of the test is 0.9918 > 0.05, which means that we fail to reject \(H_0\), as we do not have enough evidence to say that defect rate of machine is smaller than 3%.
9-x=1-(x+14)
solve for x
Answer: x has no solution
Step-by-step explanation:
9-x=1-(x+14)
9-x=1-x-14
23-x=1-x
22-x=-x
0=22 ==> x has no solution
Which measurement is the same for Charles and Jermod?
median
Orange
Olower quartile
Oupper quartile
These dot plots show how many minutes Charles and Jermod spent on homework per day
for three weeks.
15 20 25 30
40 45 50 55 60
Charles's Homework (minutes per day)
15 20 25 30 35 40 45 50 55 60
Jermod's Homework (minutes per day)
Which measurement is the same for Charles and Jermod?
The measurement is the same for Charles and Jermod are lower quartile and upper quartile. Therefore, options C and D are the correct answer.
From the given dot plot.
The number of minutes Charles spent on homework.
15, 15, 20, 20, 25, 30, 30, 30, 30, 30, 45, 50, 55, 60, 60.
Here, lower quartile = 20
Upper quartile = 50
Median = 30
Range = 60-15
= 45
The number of minutes Jermod spent on homework.
15, 15, 15, 20, 20, 30, 35, 45, 45, 45, 50, 50, 55, 55.
Here, lower quartile = 20
Upper quartile = 50
Median = 45
Range = 55-15
= 40
Therefore, options C and D are the correct answer.
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10 people ate pie and 1 person ate cake. How many more people at the pie than the cake?
Answer:
9
Step-by-step explanation:
10 subtract 1 is 9.
Given:
10 people ate pie
1 person ate cake
No of people who ate the pie than the cake
10-1 =9
factorise fully (please help)
Answer:
(2ab + 1) • (4a2b2 + 2ab + 1)
——————————————
8
this is the answer I ended up with
What happens if you can write a function as a composite in different ways? Do you get the same derivative each time? The Chain Rule says you should. Find
dy/dx if y=x by using the Chain Rule with y as a composite of the following functions. Complete parts (a) and (b) below.
Using the Chain Rule, we have: dy/dx = f'(g(x)) * g'(x) = 1 * 1 = 1.The derivative of y with respect to x is 1.
When we compose a function, it may be possible to write it in a variety of different ways. Differentiating such functions can result in different derivatives, but the Chain Rule indicates that the derivatives of the compositions should be the same regardless of how the function is written, if the function is continuous and differentiable.For instance, consider the function f(x) = sin(x²). It can be written as f(g(x)) where g(x) = x² and f(x) = sin(x). Furthermore, it can be written as f(h(x)) where h(x) = x² and f(x) = sin(x). These are both compositions of functions, but they are different compositions that lead to different derivatives.However, if the function is a composite of differentiable functions, the Chain Rule tells us that the derivative of a composite function is the derivative of the outer function multiplied by the derivative of the inner function.
To find dy/dx if y = x using the Chain Rule with y as a composite of the following functions, we must first rewrite y as a composite function: y = f(g(x)) where g(x) = x and f(x) = x. This composite function can be written in a variety of different ways, such as y = f(h(x)) where h(x) = x and f(x) = x, or y = f(k(x)) where k(x) = x and f(x) = x. However, regardless of how we write it, the Chain Rule tells us that the derivative of y is equal to the derivative of the outer function (f(x) = x) multiplied by the derivative of the inner function (g(x) = x).
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i need help with the question
The intersection points are: (0, -3) and (10, 2)
The bounded area is -20.83 unit²
How to find the intersection points?(a) The intersection points of the line and curve are the points where the line and curve meet. Thus, the intersection points are:
(0, -3) and (10, 2)
(b) The integral terms of y which gives the area bound are:
a = -3, b = 2 (These are the y values of the intersection points)
Since we have x = y² + 3y and x = 2y + 6, we can say:
y² + 3y = 2y + 6
y² + 3y - 2y - 6 = 0
y² + y - 6 = 0
Thus, h(y) =
Using a = -3 and b = 2 with h(y) = y² + y - 6, we have the bounded area as:
\(Area = \int\limits^b_a {y} \, dy\)
\(Area = \int\limits^{2}_{-3} {(y^{2} + y - 6}) \, dy\)
Integrating the area:
Area = [y³/3 + y²/2 - 6y + C]²₋₃
Area = [2³/3 + 2²/2 - 6(2)] - [(-3)³/3 + (-3)²/2 - 6(-3)]
Area = [8/3 + 2 - 12] - [-9 + 4.5 + 18]
Area = [-22/3] - [27/2]
Area = -125/6
Area = -20.83 unit²
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