Answer:
5x to the 2nd power
Step-by-step explanation:
The equation of the newly translated graph is y = 5x².
What is an equation?A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation. The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The translated graph is represented by the equation y = 5x². The graph of the two equations is attached with the answer below.
Therefore, the equation of the newly translated graph is y = 5x².
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PLEASE. HELP ASAPPP!! WILL MARK BRAINLIEST
Triangle D has been dilated to create triangle D′. Use the image to answer the question.
Answer:
To find the scalar value, simply choose one side of D and one did of D’ and divide them to find the scalar. We can verify that we have the correct scalar by performing this division on each related edge. Below I will do D to D’ represented like D/D’:
4.8 / 1.2 = 4
5.2 / 1.3 = 4
3.6 / x = 4
Knowing that the scaling for each edge is 4, we can solve for x.
3.6 / 3 = x
1.2=x
So we know the edges for D are 4.8, 5.2, and 3.6 respectively to D’ scaled by 1/4. So we can determine that the edges for D’ are 1.2, 1.3, and 1.2 respectively to D scaled by 4.
So if we go D’ to D, we scale by 4. If we go D to D’, we scale by 1/4.
Answer:
1/4 (*^▽^*)
Step-by-step explanation:
How did you decide where to place your line of best fit? Describe your reasoning.
Based on your data, describe the relationship between age and the number of U.S. states a person can name in 60 seconds.
Do you see any areas in your data or points that could be considered clusters or outliers? Explain your answer in complete sentences.
Trolls will be reported
Answer:So I don’t know the other 5 points because you didn’t give the data about the age and number of US states named in 60 seconds, but using the 5coordinate points you gave, I was able to make this line of best fit.
So basically the units are counting up by 5.
The x axis is age in years and y axis is the number of US states named in 60 seconds.
Since you didn’t give me the data to make the other 5 points, I can’t really answer the last question, but from the graph that I did make, there are no points that would be considered outliers, and there are no clusters in sight.
(BTW THIS IS IMPORTANT!! - when you use the data to add the other 5 points, there might be an outlier or more then one outlier. And there might be a cluster. Just look at it after you graph the last 5 and change the answer I gave you if there is an outlier or cluster)
Step-by-step explanation:
PLease solve it as fast has you can
Answer:
\(f^{-1}\left(f(576)\right)=\boxed{576}\)
\(f^{-1}(-7)+f(-7)=\boxed{13}\)
Step-by-step explanation:
The inverse of an invertible function with the domain of all real numbers is obtained by reflecting the original function across the line y = x, which swaps the input and output values of the function. Therefore, (x, y) → (y, x).
Given table:
\(\begin{array}{lrrrrrr}\vphantom{\dfrac12}x&-7&11&-13&6&5&-9\\\cline{1-7}\vphantom{\dfrac12}f(x)&7&12&8&-7&13&5\end{array}\)
Inverse function:
\(\begin{array}{lrrrrrr}\vphantom{\dfrac12}x&7&12&8&-7&13&5\\\cline{1-7}\vphantom{\dfrac12}f^{-1}(x)&-7&11&-13&6&5&-9\end{array}\)
If we have a function f(x), the inverse function is denoted as f⁻¹(x), and it has the property that f⁻¹(f(x)) = x for all valid inputs x in the domain of f(x).
Therefore:
\(\large\boxed{f^{-1}\left(f(576)\right)=576}\)
The value of f(-7) is the value of f(x) when x = -7. Therefore, reading from the original table, f(-7) = 7.
The value of f⁻¹(-7) is the value of f⁻¹(x) when x = -7. Therefore, reading from the inverse function table, f⁻¹(-7) = 6.
Therefore:
\(\large\boxed{\begin{aligned}f^{-1}(-7)+f(-7)&=6+7\\&=13\end{aligned}}\)
A carnival has a duck-pond booth. You choose a rubber duck at random. The mark on the bottom of the duck tells you whether you won a small, medium, or large prize, or no prize at all. There are 73 ducks floating in the pond. There are 5 ducks marked as large-prize winners, 11 ducks marked as medium-prize winners, and 24 ducks marked as small-prize winners. Find the theoretical probability of winning a medium prize at the duck pond. Express your answer as a decimal. If necessary, round your answer to the nearest thousandth.
Let's break down this problem step by step.
First, let's understand what's happening here. There's a carnival game where you can pick one duck from a pond. Each duck has a mark under it that might make you a winner of a prize. Some ducks are marked with large prizes, some with medium, some with small, and the rest don't win you any prize.
The total number of ducks in the pond is 73.
Out of these 73 ducks:
- 5 are marked for a large prize,
- 11 are marked for a medium prize,
- 24 are marked for a small prize.
We are asked to find the theoretical probability of picking a duck that has a medium prize mark. The theoretical probability is basically a fraction that compares the number of ways something can happen with the total number of outcomes.
Here, the number of ways you can win a medium prize is equal to the number of ducks that have a medium prize mark, which is 11.
The total number of outcomes is just the total number of ducks you can choose from, which is 73.
The probability (P) of winning a medium prize is then:
P(medium prize) = (Number of medium-prize ducks) / (Total number of ducks)
= 11/73
To convert this fraction to a decimal, simply divide 11 by 73:
= 11 ÷ 73
≈ 0.1507 (rounded to the nearest thousandth)
So, the probability of winning a medium prize at the duck pond is about 0.151 or 15.1%. Imagine, for every 100 ducks you pick (if there were that many), about 15 of them would win you a medium prize.
The theoretical probability of winning a medium prize at the duck pond is ≈ 0.150
To find the theoretical probability of winning a medium prize at the duck pond, we need to determine the ratio of the number of medium-prize-winning ducks to the total number of ducks in the pond.
The total number of ducks in the pond is given as 73.
The number of medium-prize-winning ducks is given as 11.
Therefore, the probability can be calculated as follows:
Probability of winning a medium prize = (Number of medium-prize-winning ducks) / (Total number of ducks)
Probability of winning a medium prize = 11 / 73
To express the answer as a decimal, we divide 11 by 73:
Probability of winning a medium prize ≈ 0.150
Rounded to the nearest thousandth, the theoretical probability of winning a medium prize at the duck pond is approximately 0.150
To better understand how to find theoretical probability of winning medium prize at the duck pond:
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Using coordinates of the labeled points to find a point slope equation of the line
Answer:
y +4= -3 ( x-3)
Step-by-step explanation:
The point slope form of a line is
y-y1 = m(x-x1)
The point requested is (3,-4)
y - -4= m ( x-3)
y +4= m ( x-3)
The slope of the line is positive since it goes from the top left to the bottom right
The slope can be found from (0,5) and (3,-4)
m = (y2-y1)/(x2-x1)
= (5 - -4)/(0-3)
= (5+4)/(0-3)
= 9/-3
= -3
y +4= -3 ( x-3)
The slope in all answer choices is 3 or -3.
Since the line is going down, the slope is going to be negative (-3).
Point slope form: y - y1 = m(x - x2)
We are given a point in the question so use it to fill in the equation.
y + 4 = -3(x - 3)
Best of Luck!
Question 5(Multiple Choice
HELP QUICKKKKKKJJ
Worth 1 points)
(04.02 LC)
Solve the following system of equations:
x + 3y = -4
X + 5y = -6
(1, 1)
(-1, 1)
(1, -1)
(-1,-1)
i'm so confuzzled, please help
Step-by-step explanation:
0.5% of w is 12 is what they are asking
0.5% of w = 12. Only the first answer has the equation equal to 12, so the first part is
\(12 = 0.005 \times w\)
Now to solve it, we want to get W alone, we can do that by dividing 0.005 on both sides. Since right now it's being multiplied we must do the opposite
\(w = \frac{12}{0.005} = 2400\)
Answer:
0.5% of w is 12 is what they are asking0.5% of w = 12. Only the first answer has the equation equal to 12, so the first part isNow to solve it, we want to get W alone, we can do that by dividing 0.005 on both sides. Since right now it's being multiplied we must do the opposite
Step-by-step explanation:
Question 10(Multiple Choice Worth 5 points)
(04.02 LC)
The graph represents function 1 and the equation represents function 2:
A graph with numbers 0 to 4 on the x-axis and y-axis at increments of 1. A horizontal straight line is drawn joining the ordered pairs 0, 3 and 4, 3.
Function 2
y = 4x + 1
How much more is the rate of change of function 2 than the rate of change of function 1?
1
2
3
4
Answer:
Step-by-step explanation:
3
Which angles are supplementary to <5?
Explain your reasoning.
Answer:
Both <6 and 7 would be supplementary to <5
Step-by-step explanation:
Supplementary means two angles that add up to 180 degrees, and 180 degrees is a straight line. Taking that into account adding <6 and 5 add up to 180 together. Same with <8 and 5.
help me with b, please :)
Answer:11.25
Step-by-step explanation:
The number 5.25 is increased by one which is 6.25 then you add it by one again you get 7.25 but if you add 2 you get 9.25 so you add 2 to 9.25
how to write this in a inequality 69.50 dollars + 5 dollars is 74.50 dollars add 5 dollars 79.50 add 5 dollars again and 84.50
69.50 +(3 x 5) = 84.5
Note- It seems something is missing from this problem,I answered you other question you may want to look their for better explanation of the problem.
HOPE THIS HELPS & GOOD LUCK.
Add the following rational numbers: -1/6 and 3/10
Step-by-step explanation:
I hope it's helpful for you..
Answer:
4/30
Step-by-step explanation:
So first of all you want to convert both fractions so that they have a common denominator (30)
-1/6= -5/30
3/10=9/30
Next, you want to picture a number line in your head. Now picture -5/30 on the number line, and move 9/30 steps. Bringing you to 4/30.
How I did that:
9-5 (negative amount)=4 (amount you have after getting rid of the 5 steps that took you to 0)
5r + 15 = 0 ........?
Answer: R would equal -3
Step-by-step explanation:
5 x -3 = -15
-15 + 15 = 0
Answer:
r = -3
Step-by-step explanation:
Simplifying
5r + 15 = 0
Reorder the terms:
15 + 5r = 0
Solving
15 + 5r = 0
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-15' to each side of the equation.
15 + -15 + 5r = 0 + -15
Combine like terms: 15 + -15 = 0
0 + 5r = 0 + -15
5r = 0 + -15
Combine like terms: 0 + -15 = -15
5r = -15
Divide each side by '5'.
r = -3
Simplifying
r = -3
i need so much help but i have no help!!
Answer:
A: 8^2+y^2=12^2
Step-by-step explanation:
pythagorean theorom is a^2+b^2=c^2
the legs are a and b and c is the hypothenuese
we know a is 8 and c is 12 so lets fill it in
8^2+b^2=12^2
b side is known as "y" so let's replace b with y
8^2+y^2=12^2
and this matches answer option A
Hopes this helps
A ball shaped like a sphere has a radius of 2.7 centimeters. Which measurement is closest to the volume of the ball in cubic centimeters?
A. 122.15 cm³
B. 33.93 cm³
C. 82.45 cm³
D. 46.38 cm³
???????????????????????????
Answer:
12 and 78 are complementary.
80 and 100 are supplementary.
50 and 50 are neither.
Step-by-step explanation:
Hope it helps! =D
PLEASE HELP ME. if you get answer right congrats
Answer:
Should be 32
Step-by-step explanation: 96 divided by 15 is 6.2 then 6.2 times 5 is 32.
ayo need help
Karen has 12 items in her suitcase. Which is the most reasonable prediction for the total weight of her suitcase?
a. 6 lbs
b. 8 lbs
c. 11 lbs
d. 15 lbs
Answer:
D
Step-by-step explanation:
i would just that because a suitcase is pretty heavy by itself so that's pretty reasonable yk
The length of ribbons found at a seamstress are listed. 3, 11, 11, 13, 13, 21 What is the appropriate measure of variability for the data shown, and what is its value? The mean is the best measure of variability and equals 11. The median is the best measure of variability and equals 11.5. The range is the best measure of variability and equals 18. The IQR is the best measure of variability and equals 2.
Answer:
(d) The IQR is the best measure of variability and equals 2.
Step-by-step explanation:
You want the best measure of variability of the data set {3, 11, 11, 13, 13, 21}.
VariabilityMean and median are measures of the center of the set of data, not its variability. The variability is measured by the range, interquartile range (IQR), or standard deviation.
Here, the range is the difference between the maximum and minimum values, 21 -3 = 18. The quartiles are 11 and 13, so the IQR is 13 -11 = 2.
OutliersThe minimum and maximum values are more than 1.5×IQR = 3 away from the upper and lower quartile values, so can be considered to be outliers. When we exclude the outliers from the data set, we have ...
{11, 11, 13, 13}
The best measure of the variability is the IQR, which is 2—corresponding to choice 4.
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Mimi, Cici, and Aaron started watching the anime one piece. Cici has seen 4 more episodes than Mimi, and Aaron has seen twice as many episodes as Cici. Altogether, they have seen 48 episodes. Find the number of episodes each person has seen.
Answer:
Cici: 4
Mimi: 22
Aaron: 22
Step-by-step explanation:
Btw brainliest me plss :(
Okay so here is my answer...
Cici: 22
Mimi: 12
Aaron: 14
I'm sorry if its wrong! brainliest would be appreciated! Also YESSS ANIME <3
What would be the function for {(-6, 4), (5, -1), (0, 3), (-2, 4)}
Answer:
So the easiest way to do this is to break it up in to domain(x) and range(y) in a two column chart so the (X) go on one side and the (y) go on the other side
Step-by-step explanation:
-6 4
5 -1
0 3
-2 4
the points do not form a line or a parabola
please help me with this math question Graph this line using the slope and y-intercept:
Answer:
(8,1) (15,2) (22,3) (29,4) (36,5) (43,6)
Step-by-step explanation:
Answer:
Step-by-step explanation:
The equation y=7x+1 is written in slope intercept form. That would be:
y=mx+b
m is the slope
b is the y intercept, or where the line first is seen on the y axis.
Because b=1, the y intercept is 1.
Because m=7, the slope is 7.
STEP 1: GRAPH THE Y INTERCEPT.
Since b=1, the line crosses the y intercept when y=1. So graph y=1 on the coordinate plane.
STEP 2: GRAPH THE SLOPE
Do this by going up 7, then right 1. Because 7 is a positive number, you go up.
hope this helps !!! brainliest would be appreciated :D
Word Problems (WITH EXPLANATION)
In the rectangle below, the line MN cuts the rectangle into two regions. Find x, the length of segment NB, so that the area of the quadrilateral MNBC is 40% of the total area of the rectangle.
The length of segment NB is 0.833
Finding x, the length of segment NBFrom the question, we have the following parameters that can be used in our computation:
The rectangle
The area of the rectangle is
Area = (20 + x) * 10
The area of MNBC is
Area = 1/2 * 10 * (x + 20 + x - 5)
Area = 5(2x + 15 )
The area of the quadrilateral MNBC is 40% of the total area of the rectangle
So, we have
5(2x + 15) = 40% * (20 + x) * 10
5(2x + 15) = 4* (20 + x)
When evaluated, we have
x = 0.833
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Answer:
X=1
Step-by-step explanation:
The total area of the rectangle is 20x10=200
so the area of MNBC is: 40%x200=80
MC= 20-5=15
so (x+15).10/2=80 (according to the trapezoidal area formula)
x=1
so the answer is 1
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HELP ME PLS PLS PLS and thank you pls do it quik
Answer:
Sorry, I'm late
Step-by-step explanation:
It would be D because it would be 11 cubed or 11 to the third power. So 11x11x11. 11x11=121. 121x11=1,331
A model spaceship costs $15.99 before tax. The tax on the model spaceship is 8%.
What is the total cost of the model spaceship? Round your answer to the nearest cent.
Enter your answer in the box.
I will give Brainliest to correct answer.
Answer:
$17.27
Step-by-step explanation:
Did the math and thats what I got! I hope I helped
Answer:
The person who answered this question first is correct
Proof:
a bag contains 8 cards numbered from 1 through 8 jeremiah records the experimental probability of randomly choosing the number 5 after 50, 100, 150, and 200 trials for which number of trials would you expect the experimental probability to be closest to 1/8 ?
options
— 50 trials
— 100 trials
— 150 trials
— 200 trials
Answer:
150
Step-by-step explanation:
150/100 basically 15/100 is the most closest to (equivalent) to 1/8
Help me please :) its very hard
Answer:
Answer B
Step-by-step explanation:
You need to first find the surface area of the triangular prism.
In order to do that, we need to first know the length of the base of the triangles on both side. So, I used the pythagorean theorem (a²+b²=c²) after making the triangle a right triangle by cutting it in HALF.
a²+b²=c²
a²+2.6²=3²
a²+6.76=9
Subtract 6.76 on both sides
a²=2.24
a=√2.24
a=1.49666295471
Now, we know that the base of HALF of the triangles on both sides of the prism is 1.496......
We need to MULTIPLY this by 2 to get the full length. So, the length of the bases of both triangles is 2.99332590942
The height of the triangles is 2.6
We are going to first find the area of one triangle and multiply it by 2, to get the area of both triangles.
Area of a triangle = base x height ÷ 2
2.6 x 2.99332590942= 7.78264736449
7.78264736449 ÷ 2 = 3.89132368224
3.89132368224 x 2 (because we have 2 triangles) =7.78264736449 cm squared
Now, we know the area of both triangles, but we now need to add the add the surface area of the rectangles in the net.
Area of a rectangle = length x width
We know that all of the three rectangles are equal in size, and that the length of each one of them is 15 cm. However, the width/height of each one is unknown. We will find out the height of each one by looking at the length of the base of the triangle attached to the first one. We know that because of the base of the triangles = 2.99332590942, the width of the attached rectangles are 2.99332590942. We found this using the Pythagorean theroem (look above).
15 x 2.99332590942= 44.8998886413
44.8998886413 x 3 (because we have 3 of the same rectangles)= 134.699665924 cm squared
Now, we must ADD the surface area of the rectangles AND the triangles.
7.78264736449 (triangles) + 134.699665924 (the three rectangles)= 142.482313288 cm squared.
The CLOSEST OPTION to the answer we got is ANSWER B because it is 142.8 cm squared, which is the closest to the answer we got which was 142.482313288 cm squared.
I really hope this helps :)
Answer:
the answer is B
Step-by-step explanation:
50** POINTS! 7th Grade, Geometry. Thankyou.
The equation g equals three fifths' times m represents the proportional relationship of the number of gallons of water (g) used by a washing machine over a certain period of time, in minutes (m). Create a written description for the equation
best answer will get brainiest
Answer:
For each gallon of of water the washing machine uses, it runs for three-fifths of a minute
Step-by-step explanation:
How can I find the cube root of 64?
Answer:
4
Step-by-step explanation:
The cube root of 64 is the number which when multiplied by itself three times gives the product as 64. Since 64 can be expressed as 2 × 2 × 2 × 2 × 2 × 2. Therefore, the cube root of 64 = ∛(2 × 2 × 2 × 2 × 2 × 2) = 4.
The cube root of 64 is 4.
Before solving the question, let's understand the concept of cube root.
The cube root of a number is the value obtained by multiplying it by itself three times or thrice. When we multiply 3 by itself three times, we get 3 x 3 x 3 = 27 = 3³, so the cube root of 27 is 3. Thus, we can say that the cube root gives a value that is basically cubed.
The cube root is denoted by ∛
Now, we will find the cube root of 64.
Firstly, we have to find factor 64.
64 = 2 × 2 × 2 × 2 × 2 × 2.
64 = ∛4³
64 = 4
Therefore, the cube root of 64 is 4.
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