A sequence of transformations is applied to ACDE to create AC'D'E'.
Select all of the sequences of transformations that could be applied to ACDE so that ACDE = AC'D'E'.
A clockwise rotation of 90 degrees and then a dilation by a scale factor of 2.
A dilation by a scale factor of 2 and then a reflection across the y-axis.
A clockwise rotation of 90 degrees and then a reflection across the y-axis.
A translation 5 units down and then a dilation by a scale factor of 2.
A translation 5 units down and then a clockwise rotation of 90 degrees.
A reflection across the y-axis and then a translation 5 units down.
Answers
The option 1 "A clockwise rotation of 90 degrees and then a dilation by a scale factor of 2", option 3 "A clockwise rotation of 90 degrees and then a reflection across the y-axis." and option 5 "A translation 5 units down and then a clockwise rotation of 90 degrees." are correct.
In the given question,
A sequence of transformations is applied to ACDE to create AC'D'E'.
We have to select all of the sequences of transformations that could be applied to ACDE so that ACDE = AC'D'E'.
Firstly we learn about Transformation
A point, line, or geometric object can be changed in four different ways that are all collectively referred to as transformations. The pre-image is the shape of the object as it was originally, and the transformed shape of the object is termed the image.
We can transform an object by translation, rotation, reflection, and enlargement.
So according to explanation we can see that
Option 1 is correct because in this option we transform the ABCD by rotation of 90 degrees and then a dilation by a scale factor of 2. In this option only shape is changing.
Option 2 is not correct because in this option we used both dilation by a scale factor of 2 and then a reflection across the y-axis. In this option shape and size both changes.
Option 3 is also correct because in this option we rotate 90 degree in clockwise direction and then a reflection across the y-axis. So there only change the position.
Option 4 is not correct because there is a translation by 5 units down and then a dilation by a scale factor of 2. It will change the shape and direction both.
Option 5 is correct because there is a translation by 5 units down and then a clockwise rotation of 90 degrees. It will change only shape.
Option 6 is not correct because there is reflection across the y-axis and then a translation 5 units down.
Hence, the option 1,3 and 5 are correct.
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Related Questions
the general convention is to reject a hypothesis if your data analysis indicates that there is a probability that a hypothesis is incorrect. True or False
Answers
The general convention is to reject a hypothesis if your data analysis indicates that there is a probability that a hypothesis is incorrect. This is False.
What is probability?Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.
After a performing a test, scientists can reject the null hypothesis meaning there is a definite, consequential relationship between the two phenomena
In this case, the convention is to accept a hypothesis if your data analysis indicates that there is a probability that a hypothesis is incorrect.
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can you please help me with this. whoever helps me with this I'll make brilliantist
Answers
Answer:
1. 12/5, 12 to 5, 12:5
2. ?
3.?
4. GCF = 2 LCM = 10
5. ?
6. rate = 42/6 unit rate= $7 per book
7. ?
8. 12/48 = 25/100
9. 36 days
10. y = x * 2, y = x -3
11. 3 · (4^2 - 5) · 2, (3^3 + 3) · 4 ÷ 3
12. Solve = 4 I dont know how to model it
suppose that10% of people are left handed. if7people are selected at random, what is the probability thatexactly 2 of them are left handed?
Answers
Given that 10% of people are left-handed, the likelihood that there will be exactly 2 left-handed individuals is 0.098415. if a random selection of 7 people is made.
what is percentage ?10%, a comparative figure denoting one hundredth of any quantity. One percent (symbolized as 1%), being the hundredth component, is represented as 100 percent, while 200 percent signifies twice the amount specified. percentage. Math percentile is a related topic.
As a result:
10% of people identify as left-handed.
P(left-handed) = 0.1 is the probability of success.
Selection number (n) equals six
The number of left hands in the selection (x) is precisely 2 P(6, 2) = 6C2 * 0.1 * (1 - 0.1) (6-2)
P(6, 2) = 15 * 0.01 * 0.6561\P(6, 2)
= 0.098415
Given that 10% of people are left-handed, the likelihood that there will be exactly 2 left-handed individuals is 0.098415. if a random selection of 7 people is made.
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A cylinder with radius 3 feet and height 5 feet is there. What is the volume of the cylinder? Round answer to the nearest hundredth.
Answers
Answer:
volume of cylinder
= πr²h
= π×3²×5
= π×9×5
=45π
= 141.37 cubic feet
Hello, pleas help me with this geometry question. It’s about the area of sectors. Thanks :) (question in image below).
Answers
Answer:
39.27 square units
Step-by-step explanation:
In circle E with m∠DEF = 70∘ and DE=8, we want to find the area of sector DEF. To do this, we can use the formula for the area of a sector:
A_sector=1/2 r^2⋅
α
where r is the radius of the circle and α is the central angle in radians. In our case, r=8 and α=70 ∘ ⋅ π/180∘ = 7π/18 radians
Now, we can plug these values into the formula:
A_sector = 1/2(8^2) ⋅ 7π/18 = 32 ⋅ 7π/18 ≈ 39.27
So, the area of sector DEF is approximately 39.27 square units, rounded to the nearest hundredth.
The area of sector DEF in circle E is approximately 6.10 square units, rounded to the nearest hundredth.
To find the area of sector DEF in circle E, we need to use the formula for the area of a sector:
Area of sector = (Central angle / 360°) * π * r^2
where "Central angle" is the measure of angle DEF in degrees, "r" is the radius of the circle (DE in this case).
Given that m/DEF = 70° and DE = 8, we can calculate the area of sector DEF as follows:
Area of sector = (70° / 360°) * π * 8^2
Now, perform the calculations step by step:
Area of sector = (70/360) * π * 64
Area of sector = (7/36) * π * 64
Area of sector ≈ 3.14 * (7/36) * 64
Area of sector ≈ 3.14 * 1.9444
Area of sector ≈ 6.10 (rounded to two decimal places)
Therefore, the area of sector DEF in circle E is approximately 6.10 square units, rounded to the nearest hundredth.
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Probability:
Person A and Person B are playing archery together. Assume their abilities to fire the arrow at the target are exactly the same, and the probability of getting the target is 0.5 for both of them.
Now that given A has fired 201 arrows and B has fired 200 arrows, what is the probability that A gets more targets than B?
Answers
If Person A and Person B are playing archery together. the probability that A gets more targets than B is 0.5, or 50%.
How to find the probability?The number of targets hit by A and B follows a binomial distribution with parameters n = 201 and n = 200, respectively, and p = 0.5.
To find the probability that A gets more targets than B, we need to find the probability that A hits more than 100 targets (since 100 is the average number of targets hit by each player). We can use the normal approximation to the binomial distribution to do this.
The mean of the difference in the number of targets hit by A and B is:
E(A - B) = E(A) - E(B) = np - np = 0
The variance of the difference in the number of targets hit by A and B is:
Var(A - B) = Var(A) + Var(B) = np(1-p) + np(1-p) = 100
The standard deviation of the difference is then:
SD(A - B) = sqrt(Var(A - B)) = 10
Using the normal distribution approximation, we can standardize the difference in number of targets:
Z = (X - E(A - B)) / SD(A - B)
where X is the number of targets that A hits.
P(A hits more targets than B) = P(A - B > 0)
= P(Z > (0 - 0) / 10)
= P(Z > 0)
= 0.5
Therefore, the probability that A gets more targets than B is 0.5, or 50%. This means that there is an equal chance that A will hit more targets than B as there is that B will hit more targets than A.
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The Earth has a mass of about 6 x 10^24 kg. Neptune has a mass of 1.8 x 10^27kg. How many times bigger is Neptune than Earth
Answers
Answer:
300 times bigger.
Step-by-step explanation:
That would be (1.8 * 10^27 ) / (6 * 10^24)
= 0.3 * (10^27/10^24)
= 0.3 * 10^3
= 3 * 10^2
= 300.
4 times a number is 12 less than the square of that number. Find the positive solution
Answers
Answer:
I think its 6
im not 100%sure
Step-by-step explanation:im in 7th grade tho
But can i get brainless
Answer:
6
Step-by-step explanation:
Have a good day :)
What is an equivalent expression for 3x+5x-1
Answers
Answer:
8 x - 1
Step-by-step explanation:
Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s).
(HOW DO YOU SOLVE EQIVALENT EXPRESSIONS)
Answer:
8x-1
Step-by-step explanation:
3x+5x=8x
8x-1
You add up the numbers that have the same variables, then add the extra numbers to numbers you solved.
find the critical value(s) and rejection region(s) for the type of z-test with level of significance . include a graph with your answer. right-tailed test, a=0.03.
Answers
Answer:
c
Step-by-step explanation:
The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.
The critical value(s) and rejection region(s) for the type of z-test with a level of significance a = 0.03 and a right-tailed test are as follows :Step 1: Determine the critical value of zThe critical value is calculated by using the normal distribution table and the level of significance. A right-tailed test will have a critical value of zα. For a level of significance of 0.03, we will look for the z-value that corresponds to 0.03 in the normal distribution table.Critical value for a = 0.03 is z = 1.88 (approx).Step 2: Determine the Rejection Region The rejection region for a right-tailed test is defined as any z-value that is greater than the critical value. That is, if the test statistic is greater than 1.88, we reject the null hypothesis at the 0.03 level of significance, and if it is less than or equal to 1.88, we fail to reject the null hypothesis.Therefore, the rejection region for a right-tailed test with a level of significance of 0.03 is as follows:Rejection Region: Z > 1.88 OR Z ≤ -1.88Graph: The graph for the given values will be as follows:The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.
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Find the global maximum and the global minimum values of function f(x, y) = x² + y² + x²y + 4 y²+x²y +4 on the region B = {(x, y) € R² | − 1 ≤ x ≤ 1, R2-1≤x≤1, -1≤ y ≤1}.
Answers
Therefore, the global maximum value of the function on the region B is 12, and the global minimum value is 4.
To find the global maximum and minimum values of the function f(x, y) = x² + y² + x²y + 4y² + x²y + 4 on the region B = {(x, y) ∈ R² | −1 ≤ x ≤ 1, -1 ≤ y ≤ 1}, we need to evaluate the function at its critical points within the given region and compare the function values.
1. Critical Points:
To find the critical points, we need to find the points where the gradient of the function is zero or undefined.
The gradient of f(x, y) is given by:
∇f(x, y) = (df/dx, df/dy) = (2x + 2xy + 2x, 2y + x² + 8y + x²).
Setting the partial derivatives equal to zero, we get:
2x + 2xy + 2x = 0 (Equation 1)
2y + x² + 8y + x² = 0 (Equation 2)
Simplifying Equation 1, we have:
2x(1 + y + 1) = 0
x(1 + y + 1) = 0
x(2 + y) = 0
So, either x = 0 or y = -2.
If x = 0, substituting this into Equation 2, we get:
2y + 0 + 8y + 0 = 0
10y = 0
y = 0
Thus, we have one critical point: (0, 0).
2. Evaluate Function at Critical Points and Boundary:
Next, we evaluate the function f(x, y) at the critical point and the boundary points of the region B.
(i) Critical point:
f(0, 0) = (0)² + (0)² + (0)²(0) + 4(0)² + (0)²(0) + 4
= 0 + 0 + 0 + 0 + 0 + 4
= 4
(ii) Boundary points:
- At (1, 1):
f(1, 1) = (1)² + (1)² + (1)²(1) + 4(1)² + (1)²(1) + 4
= 1 + 1 + 1 + 4 + 1 + 4
= 12
- At (1, -1):
f(1, -1) = (1)² + (-1)² + (1)²(-1) + 4(-1)² + (1)²(-1) + 4
= 1 + 1 - 1 + 4 + (-1) + 4
= 8
- At (-1, 1):
f(-1, 1) = (-1)² + (1)² + (-1)²(1) + 4(1)² + (-1)²(1) + 4
= 1 + 1 - 1 + 4 + (-1) + 4
= 8
- At (-1, -1):
f(-1, -1) = (-1)² + (-1)² + (-1)²(-1) + 4(-1)² + (-1)²(-1) + 4
= 1 + 1 + 1 + 4 + 1 + 4
= 12
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Write a verbal expression for each algebraic expression.
6n squared
The product if 6 and n squared
Answers
Answer:
6+n=0
n=0-6
n=-6
now,
-6*-6
36
the slopes of the search functions for the control subjects and the split-brain patients differed in what way?
Answers
Therefore , the solution of the given problem of slope comes out to be less consistent than that of the split-brain patients.
Define slopeThe slope of a line determines how steep it is. Equations predicated on gradients might experience gradient overflow. One can determine the slope by dividing the midpoint of the run (length difference) between two points by the rise (vertical differentiation) between the same two points. The equation of the hill type with the notation y = mx + b is used to model the fixed path problem.
Here,
Given :
A slope having search functions for the control subjects and
the split-brain patients is different because
In general, the control participants' performance was less consistent than that of the split-brain patients.
Therefore , the solution of the given problem of slope comes out to be less consistent than that of the split-brain patients.
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Use the drawing tool(s) to form the correct answer on the provided graph.
Plot the axis of symmetry and the point where the maximum value occurs for this function:
h(x) = -(x + 2)2 + 8.
Answers
Point where the maximum value occurs: (-2, 8)
The graph for the given function h(x) = -(x + 2)2 + 8 is shown below:
Graph of h(x) = -(x + 2)² + 8
The axis of symmetry is a vertical line that divides the parabola into two equal halves.
The vertex of the parabola lies on the axis of symmetry.
The axis of symmetry for the given function:
h(x) = -(x + 2)² + 8 is x = -2
The point where the maximum value occurs is the vertex of the parabola.
The vertex of the parabola is at (-2, 8).
Therefore, the axis of symmetry and the point where the maximum value occurs for the given function
h(x) = -(x + 2)² + 8 are as follows:
Axis of symmetry: x = -2
Point where the maximum value occurs: (-2, 8)
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One glass of lemonade uses 2/3 cup of lemonade mix
How many glasses of lemonade can Stephanie make with 3 cups of lemonade mix?
Answers
Answer:
12
Step-by-step explanation:
Find the unknown measures. Round lengths to the nearest tenth and angle measures to the nearest degree.
AC =
BC=
∡C=
degrees
Answers
Answer:
AC= 6.3 units (nearest tenth)
BC= 2.8 units (nearest tenth)
∠C= 64°
Step-by-step explanation:
Please see attached picture for full solution.
using the elimination method how do I find x and y for the following problem:
4x-7y=13
4x + 7y = -29
Answers
Answer:
8x= -16
x=-2
Step-by-step explanation:
1. add 4x+4x=8x
2. subtract -7y+7y=0
3. subtract 13-29= -16
4. divide -16 by 8x= -2
you basically align the variables and solve down.
How many feet are in 12 mins if 260ft/min
Answers
if its assumptions are met, the analysis of variance technique is appropriate when ____.
Answers
Answer:
comparing the means of three or more groups
Step-by-step explanation:
hat formula is used to gain information about an individual data value when the variable is normally distributed?
Answers
The formula used to gain information about an individual data value when the variable is normally distributes is, Z = (X - μ)/σ.
What is standard normal distribution?
The standard normal distribution, also known as the z-distribution, is a unique type of normal distribution in which the mean and standard deviation are both equal to 1.
Any normal distribution's values can be transformed into z scores to standardize it.
Z scores indicate the number of standard deviations away from the mean that each value represents.
The Z score is determined by the number of standard deviations above or below the mean for the standard normal distribution.
When a variable (let's say X) is normally distributed, then to get insights from its distribution, we transform it (i.e. X) into standardized variable (which constitutes "Standard" Normal Distribution).
Standardized variable, Z, is given by (X - μ)/σ
Hence, option B is correct answer. Z = (X - μ)/σ.
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Complete question:
Complete question is attached below.
The graph of f(x) = x² is shown.
Use the parabola tool to graph the function g(x) = (1/5x)².
To graph a parabola, first plot the vertex, and then plot another point on the parabola.
Answers
Answer:
look at the attached file
Step-by-step explanation:
have a great day and thx for your inquiry :)
Cecelia planted 11 new flowers in her garden. The flowers were either yellow, which cost $1.60 each at the market, or purple, which cost $1.80 each. Cecelia paid a total of $18.20 when purchasing the flowers.
How many yellow flowers did Cecelia plant?
yellow flowers
PLEASE HELP ME
Answers
Answer:
8 yellow and 3 purple
Step-by-step explanation:
HELP ASAP!!!
Solve for m in the following equation.
4m/3= 8
m= 10
m= 6
m= 2
m= 96
You buy three more than twice as many pounds of apples as bananas. If you bought seven pounds of apples, how many pounds of bananas did you buy?
What is the correct equation and solution for this problem?
3p – 2 = 7; p = 3 pounds
2p – 3 = 7; p = 5 pounds
3p + 2 = 7; p = 3 pounds
2p + 3 = 7; p = 2 pounds
Thank you!!
Answers
I hope you get it right… please like :)
Answer:
1. STEPS FOR SOLVING LINEAR EQUATION
\( \frac{4m}{3} = 8\)
Multiply both sides by 3.
4m=8×3
Multiply 8 and 3 to get 24.
4m=24
Divide both sides by 4.
\(m = \frac{24}{4} \)
Divide 24 by 4 to get 6.
m=6
2. 2p+3=7; p=2 pounds
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answers
Answer:
\(t = 2.86 \: s\)
The ball remains in the air for 2.86 seconds.
Step-by-step explanation:
A baseball is hit into the air, and its height above the ground is described by the function
\(H(t) = -16t^2 + 45t + 2\)
Where H(t) represents the height of the ball t seconds after it is hit.
The ball remains in the air before it hits the ground.
When the ball hits the ground,
\(H(t) = 0\)
So,
\(0 = -16t^2 + 45t + 2\)
The equation may be solved using the quadratic formula.
\($t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$\)
Where
\(a = -16 \\\\b = 45 \\\\c = 2 \\\\\)
So,
\(t=\frac{-(45)\pm\sqrt{(45)^2-4(-16)(2)}}{2(-16)} \\\\t=\frac{-45\pm\sqrt{(2025 - (-128)}}{-32} \\\\t=\frac{-45\pm\sqrt{(2153}}{-32} \\\\t=\frac{-45\pm 46.4004}{-32} \\\\t=\frac{-45 + 46.4004}{-32} \: and \: t=\frac{-45 - 46.4004}{-32}\\\\t= -0.04 \: and \: t = 2.86 \\\\\)
Since the time cannot be negative, discard the negative value and accept the positive value
\(t = 2.86 \: s\)
Therefore, the ball remains in the air for 2.86 seconds.
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answers
Answer:
x=17 degrees
Step-by-step explanation:
All 3 angles = 180 degrees
So 90 + 54 + (x+19) = 180
Combine like terms
163 + x = 180
Subtract 163 from both sides
x = 180-163
x = 17
A polynomial function has a root of -4 with multiplicity 4, a root of -1 with multiplicity 3, and a root of 5 with multiplicity 6. If
the function has a positive leading coefficient and is of odd degree, which could be the graph of the function?
Answers
Answer:
lower graph
Step-by-step explanation:
• Odd degree , positive leading coefficient
Then end behaviour is
As x → - ∞ then y → - ∞
As x → + ∞ , then y → + ∞
The graph also has roots at x = - 4, x = - 1 and x = 5
These features are displayed in the lower graph
The graph of the function is shown in second graph.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
A polynomial function has a root of -4 with multiplicity 4, a root of -1 with multiplicity 3, and a root of 5 with multiplicity 6.
Hence, Condition is, Odd degree and positive leading coefficient
Then end behavior is,
As x → - ∞ then y → - ∞
As x → + ∞ , then y → + ∞
Here, The graph also has roots at x = - 4, x = - 1 and x = 5
Hence, All of the above is shown in second graph.
Thus, Second graph is correct.
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Xander was in the lead for 75% of the laps during PE. If the race lasted 12 laps, how many laps did Xander lead?
Answers
Answer:
9 laps
Step-by-step explanation:
75% of something is the same as three-fourths, or multiplying by 0.75
12 x 0.75 = 9
or you can divide by 4 and then multiply by three if you know what to separate the original number into
12/4 = 3 3 x 3 = 9
A public library spends $32,351 on new hardcover books. Each new book cost $17. How many books does the library purchase?
Answers
Suppose a group of friends are trying to decide what type of food to have at a party. They decided to start a ranking system where first place votes get 3 points, second place votes get 2 points and third place votes get 1 point. All other places receive no points. The winning food was chips and dip with 23 points. If it received 5 first place votes and 4 third place votes, how many second place votes did it receive?
Answers
So, chips and dip received 2 second place votes.
The total number of points received by chips and dip is equal to 3 points per first place vote + 2 points per second place vote + 1 point per third place vote. Therefore, the total number of points received by chips and dip can be represented by the equation: 3x + 2y + z = 23, where x is the number of first place votes, y is the number of second place votes, and z is the number of third place votes.
We know that chips and dip received 5 first place votes and 4 third place votes, so we can substitute these values into the equation to get: 3(5) + 2y + 1(4) = 23
Solving for y gives us: y = (23 - 3(5) - 1(4))/2
Substituting the values for x and z and simplifying the expression gives us: y = (23 - 15 - 4)/2
This simplifies to: y = 4/2
Dividing 4 by 2 gives us: y = 2
Therefore, chips and dip received 2 second place votes.
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find the values of x and y in the figure
Answers
\( \frac{5}{y} = \frac{5 + 3 }{y + x} \)
\(5(y + x) = y( 5 + 3)\)
\(5y + 5x = 8y\)
\(5x = 8y - 5y\)
\(5x = 3y\)
\( \frac{x}{y} = \frac{3}{5} \)
\(x = 3\)
\(y = 5\)