Answers
Coordinates of the original figure: (-2, 2), (-2, 0), and (2, 2).
Coordinates of the final transformed figure: (-4, 4), (-4, 2), and (4, 4).
What is a coordinate system?
In geometry, a coordinate system is a system that uses one or more numbers or coordinates to uniquely determine the location of points or other geometric elements on a manifold, such as Euclidean space.
In the original figure, we can plot the coordinates, and we get
For dark blue dot = (-2, 2)
For red dot = (-2, 0)
For light blue dot = (2, 2)
After applying a scale factor of '2', we get the new coordinates as
For dark blue dot = (-4, 4)
For red dot = (-4, 2)
For light blue dot = (4, 4)
Hence,
Coordinates of the original figure: (-2, 2), (-2, 0), and (2, 2).
Coordinates of the final transformed figure: (-4, 4), (-4, 2), and (4, 4).
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Related Questions
please help lol I need help
Answers
The expression can be expanded as 125/64
Evaluating an ExpressionTo evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations.
To solve this problem, we need to evaluate the expression given;
For this, we can find the cube of the numerator and cube of the denominator.
(5/4)³ = 125/64
The solution to the problem is 125/64
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victoria deposited $5000 into a savings account that earns an annual simple interest rate of 0.3%. To the nearest tenth of a year, how long will it take for the account to reach $5500?
Answers
It will take 33.33 years for the account to reach $5500
What is simple interest?
Simple interest is defined as the direct crediting of cash flows related to an investment or deposit.
We know,
Victoria deposited into a savings account $5000
Annual simple interest rate of 0.3%.
Formula of Simple Interest
A = P(1 + rt)
5500 = 5000(1 + 0.003t)
5500 = 5000 + 15t
15t = 500
[tex]t = \frac{500}{15} = 33.33[/tex]
It will take 33.33 years for the account to reach $5500
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write a function that will standardize a multivariate normal sample for arbitrary n and d. that is, transform the sample so that the sample mean vector is zero and sample covariance is the identity matrix. to check your results, generate multivariate normal samples and print the sample mean vector and covariance matrix before and after standardization.
Answers
The function that will standardize a multivariate normal sample is
Ф(X) = (1/2π)^(p/2).|M|^(-1/2).exp(-1/2(X-m)'M^(-1)(X-m))
According to a multivariate normal distribution with mean vector m and variance-covariance matrix M, then this random vector, X , will have the joint density function as shown:
Ф(X) = (1/2π)^(p/2).|M|^(-1/2).exp(-1/2(X-m)'M^(-1)(X-m))
where, |M| denotes the determinant of the variance-covariance matrix M and M^(-1) is just the inverse of the variance-covariance matrix M.
Hence, the function that will standardize a multivariate normal sample is
Ф(X) = (1/2π)^(p/2).|M|^(-1/2).exp(-1/2(X-m)'M^(-1)(X-m))
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what sample size is necessary for a 90% confidence interval about the mean height of a shrub if we want a margin of error of 0.5 inches and the population standard deviation is known as 1.3 inches.
Answers
The sample size necessary for a 90% confidence interval about the mean height of a shrub with a margin of error of 0.5 inches and a population standard deviation of 1.3 inches is 18.
Margin of error is defined as the degree of the sampling errors in statistics. It can be calculated using the formula below.
MOE = z x (SD / √n)
where MOE = margin of error = 0.5 inches
z = found by using a z-score table
SD = sample standard deviation = 1.3 inches
n = sample size
At 90% confidence interval, the area in each tail of the standard normal curve is 5, and the cumulative area up to the second tail is 95.
(100 - 90) / 2 = 5
100 - 5 = 95
Find 0.95 in the z-table to get the value of z.
At p = 0.95, z = 1.647
Plug in the values to the formula and solve for the sample size, n.
MOE = z x (SD / √n)
0.5 = 1.647 x (1.3 / √n)
√n = 1.647(1.3) / 0.5
n = 18.34
n = 18
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y=3/4x−1/2 linear equation
Answers
The equation's graph is a straight line: y= 3/4x - 1/2.
What is a straight line?A straight line is a line with an infinite length and no curves. A straight line can also be drawn between any two places, but its endpoints must stretch into the infinite.When two places A (x1, y1) and B (x2, y2) are connected by the shortest path possible, and the line ends are stretched to infinity, a straight line is the result.acc to our question-
There are an endless number of solutions to a linear equation with two variables, and we can obtain each one as a pair of numbers.
Draw the two-variable linear equation's graph by plotting these values on a coordinate plane.
Using the slope and y-intercept is the simplest approach to graph something in slope-intercept form because that information is already available.
Follow all of the instructions listed below to plot the equation's graph.
Step 1: When x = 0, the y-intercept is 0, and y would then equal -1/2. (0, -1/2) are the points.
Step 2: Since the slope is 3/4 rise over run, go three up (rise) and four across (run).
Step 3: The slope of the line is upward since the slope in the equation, not negative.
Step4; There are two points, draw a line connecting the two points.
hence,The equation's graph is a straight line: y= 3/4x - 1/2.
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Write an equation for the nth term of the arithmetic sequence, then find the a10
-3,-1,1,3
Answers
An equation for the nth term of the arithmetic sequence is aₙ=a+(n-1)d and a₁₀ of sequence -3,-1,1,3 is 15.
What is Sequence?A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
Given,
-3,-1,1,3 is a sequence.
An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same.
We know that nth term of arithmetic sequence is aₙ=a+(n-1)d
-3,-1,1,3
First term a=-3
Common difference d=-1-(-3)=-1+3=2
We need to find the 10th term
a₁₀=-3+(10-1)(2)
a₁₀=-3+9(2)
a₁₀=-3+18
a₁₀=15
Hence, an equation for the nth term of the arithmetic sequence is aₙ=a+(n-1)d and a₁₀ of sequence -3,-1,1,3 is 15.
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Isosceles and Equilateral Triangles !
Answers
3 is divided by the difference of 4 and a number
Answers
Answer:
[tex] \frac{3}{4 - x} [/tex]
find the volume of the frustum by calculating the radius
Answers
The value of 'r' is 15 cm. Then the volume of the frustum will be 2625 cm³.
What is the volume?Volume is a measurement of three-dimensional space that is utilized. It is frequently mathematically quantified using SI-derived units or different imperial or US traditional units. The concept of length is linked to the notion of capacity.
By the similar triangle, then the value of r is calculated as,
r/30 = 20/40
r = 15 cm
Then the volume of the frustum is calculated as,
V = 1/3 × (30/2)² × 40 - 1/3 × (15/2)² × 20
V = 1/3 × [9000 - 1125]
V = 1/3 × 7875
V = 2625 cm³
The value of 'r' is 15 cm. Then the volume of the frustum will be 2625 cm³.
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How do I find the measure of the triangles? Help.
Answers
Answer:
Step-by-step explanation: I am guessing that it is 180
force
area
A block exerts a force of 9 N on the ground.
Calculate the pressure the block exerts on the ground, in N/m², when
it is
a) flat on the ground, so that the area of its base is 0.04 m².
b) standing up on its side, so that the area of its base is 0.015 m².
pressure =
Answers
A block exerts a force of 9 N on the ground.
Calculate the pressure the block exerts on the ground, in N/m², when it is
a) 225N/m^2
b) 600N/m^2
Define pressure.
Force applied per unit area is the definition of pressure. P=FA, where F is the force acting perpendicular to the surface area A, is the formula used to calculate pressure mathematically. Having only magnitude and no directional vector properties, pressure is a scalar quantity. The pascal (Pa), or one newton per square meter (N/m 2), is the industry standard for measuring pressure.
Solution Explained:
Given, Force = 9N
For each part of the question we will use the formula
Pressure = Force / Area (Since, Force = Pressure X Area)
a) Here, Area = 0.04m^2
So using the formula, we have
P = 9/0.04 = 225N/m^2
b) Here, Area = 0.015m^2
So using the formula, we have
P = 9/0.015 = 600N/m^2
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Check the month and dollar value that represent a correct ordered pair. In April, Cathy's Clothmart had a profit of $3,000. In May, the profit was $4,000. In June, the profit was $5,000. April May June July $1,000 $2,000 $4,000 $6,000
Answers
The Cathy's Clothmart job had a profit comprises of pairings of the form (x,y), where the two integers are paired because of some relation.
In this instance, the relation is effectively "in month x it truly had a profit y" The ordered pairs are then, in a really significant sense, (April, 3000), (May, 4000), and (June, 5000). The ordered pairs can be written as follows if the month's number is used to identify them: (4,3000), (5,4000), They generally believed that both kinds of ordered pairings are generally correct.
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May, 4,000
The only correct pair is may and 4,000 because the other options don't have the proper profit to represent the corresponding months.
There are 728 calories in eight ounces of a certain ice cream. How many calories are there in two pounds? \text{1 pound}=\text{16 ounces} 1 pound=16 ounces Before you try that problem, answer the question below. How many ounces will you need to find the number of calories for?
Answers
Answer:
Step-by-step explanation:
author link
adioabiola
Ace
12K answers
42.2M people helped
Answer:
1,008 calories
Step-by-step explanation:
504 calories in eight ounces
How many calories are there in one pound
1 pound = 16 ounces
504 calories = 8 ounces
x calories = 1 pound
Recall, 1 pound = 16 ounces
504 calories : 8 ounces = x calories : 16 ounces
504 / 8 = x / 16
Cross Multiply
504 * 16 = 8 * x
8,064 = 8x
Divide both sides by 8
x = 8,064 / 8
= 1,008
x = 1,008 calories
Therefore, there are 1,008 calories in one pound
List all factors of the numerator and denominator. Use gcf method to simplify Creduce) each fraction. You must show work
Answers
The simplified form of the given fraction is, 2/3.
What is greatest common factor?
The largest gap between the two integers is considered to be the biggest common factor. Firstly, make a list of each number's prime factors to determine its largest common factor. The ages of 18 and 24 have one 2 and one 3. The GCF of 18 and 24 is obtained by multiplying them, therefore 2 * 3 = 6.
Consider, the given fraction [tex]\frac{48}{72}[/tex]
The divisors of 48 are, 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.
The divisors of 72 are, 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.
So, from above the greatest common factor of 48 and 72 is 24.
Therefore,
[tex]\frac{48}{72} = \frac{24(2)}{24(3)} = \frac{2}{3}[/tex]
Therefore, the simplified form of the given fraction is, 2/3.
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Roscoe is a professional groomer.
What is the unit rate for grooming per hour?
5 dogs per hour
15 dogs per hour
3 dogs per hour
1 dog per hour
Answers
You need to divide the 15 dogs by the 3 hours to get your one hour.
The football team played 10 games and won 7 games. What was its winning percentage?
Answers
Answer: 70%
Step-by-step explanation:
Percentage is always out of 100. And 10x10 =100 so you do the same to 7 multiply it by ten then your answer is 70 which is 70%.
If 2,000 mL can fit in a certain glass jar, how many liters can fit in 4.5 of these jars?
Answers
Answer: 9,000 mL
Step-by-step explanation:
If you multiply 2,000 by 4, you would get 8,000 & if you multiply .5 by 2,000, you get 1,000. If you add both the totals, you would end up with a final answer of 9,000 mL.
Which number is greatest?
57
10
O 5. 84
51
√33, 5. 84,
0 5. 7
OV33
51
9
Answers
The greatest number among the given numbers is= 57
What are greatest numbers?largest and smallest number formation We are aware of how to list the numbers in both ascending and descending order. The highest number is created by placing the specified digits in ascending order, and the lowest number is created by placing them in descending order, as we have already learned.. A number has more places when the digit at the very left is in that position. Therefore, to increase the value of the number, the largest digit should be positioned at the very left of the number.The digit 0 is never written at the very leftmost position when one of the given digits is 0, but rather in the second place from the left to obtain the smallest number.learn more about greatest numbers click here:
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At a carnival game, it cost Noah $12 to toss 30 rings. Fill out a table of equivalent ratios and plot the points on the coordinate axes provided.
Answers
The equivalent ratios table is:
Toss Dollars
5 2
30 12
45 18
See the diagram in the attachment that shows the plotted points.
What are Equivalent Ratios?Equivalent ratios are ratios that have the same value when they are compared together.
For example, 4/6 = 2/3, therefore, the equivalent ratios are 2:3 and 4:6.
Create an equation that models equivalent ratios that can be used to complete the table if:
x = toss
y = dollars
Therefore, given that 30 toss equals $12,
Constant of proportionality, k = y/x = 12/30
k = 2/5.
Plug in the value of k into y = kx:
y = 2/5x.
Therefore:
2 dollars (y = 2), will give:
2 = 2/5(x)
x = 10/2
x = 5 toss
45 tosses (x = 45) will need:
y = 2/5(45)
y = 18 dollars
The equivalent ratios table would be:
Toss | Dollars
5 2
30 12
45 18
The graph below shows the points, (5, 2), (30, 12), and (45, 18), where y = dollars, and x = toss.
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Help me with these questions (all of them 1 to 19 )
Answers
Answer:
answer for 17 is 5+5+8which is 200 cm
Answer:
1 - 9p
2 - 4y
Step-by-step explanation:
1: 3p+2p+4p Since there all common terms you can just add them together! So it would be 9p!
2: 3y + (-y) + 2y
Lets make this easier to understand.
3y -1y + 2y (I added the one because the y technically is a 1.)
Since they are all like terms because they all have y it is pretty easy to solve now! So it would be 4y!
(WILL DO MORE LATER)
Ms. Grace bought 3 bags of dog treats for $7.38. What is the cost per bag of dog treats?
Answers
Answer:
$2.46
Step-by-step explanation:
7.38/3 = 2.46
2.46 x 3 = 7.38
Solve S = 2πrh for h
Answers
Answer: [tex]h=\frac{S}{2πrh}[/tex]
Step-by-step explanation:
= Solve S = 2πrh:
= [tex]h=\frac{S}{2πrh}[/tex]
A shelf and bracket are shown below. The shelf is
perpendicular to the wall.
Note: The figure is not drawn to scale.
What angle (x), in degrees, does the bracket make
with the wall?
Answers
Using the concept of the sine function, the bracket made an angle of 51.37° with the wall.
What is a sine function?The sine of an angle is represented by the trigonometric function sin x, where x is the angle under consideration. The ratio between a right-angled triangle's perpendicular and the hypotenuse is known as the sine function. In other words, the hypotenuse is the ratio of the side opposite to the angle being discussed, and its value changes as the angle do. The sine function is used in physics to depict sound and light waves.
Use the trigonometric function sinθ = perpendicular/ hypotenuse
From the given figure, in accordance with ∠x
Perpendicular = 2.5 ft
Hypotenuse = 3.2 ft
So, sinx = 2.5/ 3.2
sinx = 0.78125
x = sin⁻¹(0.78125)
x = 51.37°
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the two scatterplots below show the relationship between final and mid-semester exam grades recorded during several years for a statistics course at a university. (a) based on these graphs, which of the two exams has the strongest correlation with the final exam grade? explain. (b) can you think of a reason why the correlation between the exam you chose in part (a) and the final exam is higher?
Answers
a) Exam 2 has the strongest correlation with the exam grade, according to the graphs below. Since the points are arranged in a positive band that extends from bottom left to upper right.
b) Because there is a positive association and there is little dispersion of points, the correlation between exams and the final exam is higher.
Define correlation.The link between variables is described by correlation. It can be characterized as strong or weak, as well as positively or negatively.
Given,
The two scatterplots below show the relationship between final and mid-semester exam grades recorded during several years for a statistics course at a university.
a) Exam 2 has the strongest correlation with the exam grade, according to the graphs below. Since the points are arranged in a positive band that extends from bottom left to upper right.
b) Because there is a positive association and there is little dispersion of points, the correlation between exams and the final exam is higher.
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the mean cost of domestic airfares in the united states rose to an all-time high of $385 per ticket. airfares were based on the total ticket value, which consisted of the price charged by the airline plus any additional taxes and fees. assume domestic airfares are normally distributed with a standard deviation of $110. answer to four decimals. what is the probability domestic airfare is $250 or less.
Answers
The probability 11.1% of domestic airfares within the United States are $250 or less.
Define the term standard deviation?A square root of variance is used to calculate the standard deviation, a statistic that illustrates how distributed widely a dataset is in relation to its mean. By evaluating the deviation of each data point from the mean, the standard deviation may be approximated as the square root of variance.The formula for the z score is -
z = (x - μ)/σ
In which,
μ = mean = $385 per ticketσ = standard deviation = $110x = sample value = $250 or less.Substitute the value in formula.
P(x ≤ 250) = (250 - 385)/100
P(x ≤ 250) = -1.22
Select the p value from negative z score table;
P(x ≤ 250) = 0.111
P(x ≤ 250) = 11.1%
Thus, 11.1% of domestic flights within the United States are $250 or less.
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How many zeros are in the graph for x^3+8x^2+11x-20? How you know they are the zeros? What does this tell us about the graph?
Answers
Answer:
There are 2 zeros. You know they are zeros because they are the only two points that intercept the x-axis. There is one touch zero and one bounce zero, meaning there are both even and odd multiplicities in the graph.
A seamstress usually sews 55 pieces per day. on a certain day,
she sews 77 pieces. what is the percent increase in the number
of pieces she sews on that day?
Answers
The percentage increase in the number of pieces she saws on that day is 40%.
Here it is given that a seamstress sews 55 pieces per day.
But on a certain day, 77 pieces were sewn.
We have to find the percentage increase in the number of pieces she sews on that day.
So first we have to find the increase in the number of pieces she sews.
Increase in the number = 77 - 55
= 22
The original number per day = 55
Formula to find the percentage increase in the number.
Percentage increase = Increase in number/ original number × 100
Now putting the values in the equation:
Percentage increase = 22 / 55 × 100
= 2/5 × 100
= 40%
Therefore there is a 40% increase in the number of pieces.
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a simple random sample is group of answer choices a sample that gives every possible sample of the same size from the same population the same chance to be selected. a sample that selects equal numbers of individuals from each stratum. any sample that gives every individual the same chance to be selected. a sample that contains the same percent of each subgroup in the population. any sample that is selected without replacement.
Answers
It is also called as Random Sample experiment.
What is random sample experiment?Random assignment is a technique used in experimental research to divide individuals from your sample into several groups using randomness.With this approach, each sample participant has a known or equal chance of being assigned to either the experimental group or the control group.In an experiment, random assignment and random selection are both possible. Imagine that 500 people are randomly chosen from a population to take part in your study.A subset of a statistical population called a simple random sample is one in which each member has an equal chance of being chosen. A straightforward random sample is intended to be an objective depiction of a group.Hence, it is an random experiment.
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Are the ratios 3:12 and 1:4 proportional? Show your work.
Explain:
Answers
Answer:
Yes
Step-by-step explanation:
3:12 both have a common factor of 3 you divide both sides by 3 to get 1:4
Help Help Pls Begging Brainliest!!!!!!!!!!!!!!!!
Our school flag is a rectangle. We are changing to a new rectangular flag design. The length of the new flag is 20% greater than the length of the old flag, and the width of the new flag is 10% less than the width of the old flag, The old school flag is 25 square feet. What is the area of the new flag?
Answers
Answer:
27 square feet-------------------------------
Let the sides of the old rectangle are l and w.
Its area isA = lw = 25New flag has dimensionsLength is 20% greater = 1.2lWidth is 10% less = 0.9wArea of new flagA = 1.2l × 0.9w = 1.08 lwA = 1.08×25 = 27Answer: Hence the answer is 27 square feet.
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