What is the scale factor that maps A ABC onto its image AA'B'C'?24B26125A102041 2 3 4 5 6 7 8Ne
Answers
Given the information on the picture, notice that we have the following relationship between sides CA and CA' :
\(CA^{\prime}=k\cdot CA\)where k is the scale factor.
If we use the measures given and solve for k, we have:
\(\begin{gathered} 10=k\cdot5 \\ \Rightarrow k=\frac{10}{5}=2 \\ k=2 \end{gathered}\)therefore, the scale factor is k = 2
Related Questions
3) A couple will retire in 50 years; they plan to spend about £30,000 a year in
retirement, which should last about 25 years. They believe that they can earn 8
percent interest on retirement savings. If they make annual payments into a
savings plan, how much will they need to save each year? Assume the first
payment comes in one year.
Answers
There are $3,20242.29 will they need to save each year.
what is sinking fund?
The idea of a sinking fund is used in accounting and finance as a way for an individual or business to set aside money for things like retirement, future expenses, or even debt repayment.
A sinking fund is a clever way to set aside a small sum each month to save money for a particular purchase. Sinking funds operate as follows: Each month, you'll set aside money in one or more categories to be used at a later time.
Given:
P = $30,000
r = 8% = 0.08
t = 1
We have to find how much will they need to save each year.
Consider, the formula
\(A = P\frac{(1+r)^n-1}{r(1+r)^t} \\A = 30000\frac{(1+0.08)^2^5-1}{0.08(1 + 0.08)^2^5} \\A = 320243.28565\)
A = 320243.29
Hence, there are $3,20242.29 will they need to save each year.
To know more about sinking fund, click on the link
https://brainly.com/question/29278117
#SPJ1
Suppose we have a random sample of size n = 5 from a continuous uniform distribution on the interval [0, 1]. Find the probability that the third largest observation in the
sample is less than 0.7.
Answers
The probability that the third largest observation in the sample is less than 0.7 is 0.2401 = 24.01%.
How do we calculate?The sample size n = 5,
Therefore the order statistics will be represented as X₁, X₂, X₃, X₄, and X₅.
Probability that X₃ is less than 0.7:
Since X₃ is the third largest observation = (X₁ and X₂) < 0.7.
The probability that X₃ is less than 0.7 is (0.7)² = 0.49.
The Probability that X₁ and X₂ < or equal to 0.7 is found as:.
The probability that both X₁ and X₂ are less than or equal to 0.7 is (0.7)² = 0.49 because in a continuous uniform distribution, the probability of any single observation being less than 0.7 is 0.7 - 0 = 0.7.
We then get the product of both cases:
Probability = 0.49 * 0.49 = 0.2401
Learn more about Probability at:
https://brainly.com/question/24756209
#SPJ1
Plsss help me, I need this right or I’m gonna fail, I’m so confused, I will give you Brainlist
Answers
Answer:
The answer should be both 6-8 and 4-6
Step-by-step explanation:
Considering 6 is at the end and the start it is able to go into both places.
you can have the points
Answers
Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the region the integral represents, and find the area using geometry. ∫ 3 0 | 8 x − 10 | d x
Answers
Please find attached
thank you
The area of Integral is 19 sq units.
What is Integral?An integral in calculus is a mathematical concept that can be used to represent an area or an expanded version of an area. The basic components of calculus are integrals and derivatives. The terms antiderivative and primal are additional terms for integral.
In mathematics, an integral is either a number representing the region under a function's graph for a certain interval or a new function, the derivative of which is the original function (indefinite integral).
Given:
∫ 3 0 | 8 x − 10 | d x
Now, the graph touches the x axis
when 8x- 10 = 0
x= 10/8
x= 5/4
and, When x = 0, y = 10.
So, the limit range will be x = 0 to x = 5/4.
Now, Area of First triangle
= 10 x 5/4 x 1/2
= 25/4
and, Area of second triangle
= 14 x (3- 10/8) x 1/2
= 7 x 7/4
= 49/4
Hence, the total Area = 25/4 + 49/4 = 19 sq. units
Learn more about integration here:
https://brainly.com/question/18125359
#SPJ5
I'm a little confused.
(2y+14.6+3.8)-(34.8m+15.6+2y)
Answers
Answer:
5.6
Step-by-step explanation:
You most likely will end up putting it in slope form y=mx+b
(2y+14.6+3.8)-(34.8m+15.6+2y) collect like terms
(2y+18.4)-(34.8m + 15.6 + 2y) = 2.8 + 34.8m
2y-2y= 0
18.4 - 15.6= 2.8
34.8m -0 = 34.8m
2.8 + 34.8m ( I think we should further simplify)
so minus 2.8 on both sides
34.8m = -2.8(divide by 34.8 on both sides)
m = -7/87
Plug in
(2y+14.6+3.8)-(34.8(-7/87)+15.6+2y) collect like terms
(2y+18.4)-(-2.8 + 15.6 + 2y) collect like terms
(18.4)-(12.8)= 5.6
2y-2y = 0
34.8(-7/87)= -2.8
18.4 - 12.8 = 5.6
Help me please please help me
Answers
explain 3 factors that should be considered in the construction of index numbers
Answers
1. selection of index number: during the construction of index number it is to be kept in mind that the selection of the index number should be correct accordingly.
2. selection of formula: while the construction of index numbers it is compulsory to select the correct formula for the given question.
3. selection of price: selection of prices should be done accordingly while constructing the index numbers.`
construction of index number is also available in two parts:
1. simple
2. weighted
1. simple: the simple method is classified into simple aggregative and simple relative.
2. weighted: the weighted method is classified into a weighted aggregative and weighted average.
read more about the construction of numbers at:
https://brainly.in/question/55819681
Please do fast doesn't have to be long explanation
Answers
1. The Mean and Standard Deviation should be used by the restaurant manager to measure the volume of soap served in each cup per day.
2. To determine the most popular car type, the Highway officer should use the Mode.
3. To compute the yearly salary of all employees in a company, the researcher should use the Median and Quartiles.
4. The actuary should use the Mean and Standard Deviation to record the reported age at death of residents in the state.
5. To determine the most common gas price, the researcher should use Mode.
What is the mean?The mean is the average of a data set.
Standard deviations are squared variations from the mean.
What is the mode?The mode is the value with the most often common occurrence in a data set.
What are median and quartiles?The median is a division of a data set into a lower half and an upper half.
Quartiles represent middle values or the median.
The lower and upper quartiles are the middle values of the lower half and the upper half, respectively.
Learn more about the measures of central tendencies at https://brainly.com/question/28180169
#SPJ1
PLEASE ANSWER ASAP!!11
Answers
Answer:
60.5
Step-by-step explanation:
assuming that each small squares is 1 × 1
\(\frac{1}{2} \times base \times height\\\\\frac{1}{2} \times 11 \times 11\\ \\\frac{121}{2}\\\\60.5 unit ^2\)
Translate the sentence into an equation. will mark brianliest The product of 6 and a number is 108. What is the solution to the equation? a 18 x b 22 x x c 102 x d 648
Answers
Answer:
6 * x = 108
Step-by-step explanation:
Answer:
18. its correct, i did unit rev on edge
Step-by-step explanation:
Hi there! I need help understanding the following graph question. y=2 * 1/2. the number 1/2 has what looks like a letter exponent above the one. Please zoom attached picture. The answer is A not the circled answer. Does it apply to the formula y=mx+b?
Answers
Given the following exponential equation:
\(y=2\cdot(\frac{1}{2})^x\)For x = 0, we have:
\(y=2\cdot(\frac{1}{2})^0=2\cdot1=2\)Then, the y-intercept must be y = 2. Now, for x = -2:
\(y=2\cdot(\frac{1}{2}){}^{-2}=2\cdot(2)^2=2\cdot4=8\)Looking at D, we see that the y-intercept is 4, so this graph does not correspond to the equation. Looking at B and C, we see that y ≠ 8 for x = -2, so we discard them.
For A:
We see that y = 8 for x = -2, and the y-intercept is 2. Then, this is the corresponding graph of the equation.
Answer: A
m=-19 & n=6
7 + 4n - m
Answers
Answer:
50
Step-by-step explanation:
7+4×6=31
31+-19=50
the answer is 50
Write an equation of the line, with a slope of -3 and y- intercept of 9, in slope-intercept form
Answers
Answer:
JLKACQSCVWMNDV
Step-by-step explanation:
QSQW VMBW DVNWD VMW V
Answer:y = -3x +9
Step-by-step explanation:
Identify each of the following as rational or irrational
√23
104.42
√64
49.396
10.97846727460
Answers
√23-irrational
104.42-rational
√64-irrational
49.396-rational
10.97846727460-rational
Answer:
1-irrational 2-rational 3-rational 4-rational 5-irrational
Step-by-step explanation:
A student is trying to identify the composition of a pure metal block by determining its density. The student records the mass to be 20.0g. The rectangular block is 3.00cm x 4.00cm x 1.40cm. Calculate the density (in g/cm^3). Express your answer to the correct number of significant figures.
Answers
The block's density can be calculated using the equation d=25g/8.4 cm.
What are equations?Two things are equal, according to an equation.
For instance, 10 + 2 equals 6 + 6.
Simply put, this means that 10 plus 2 equals or is the same as 6 plus 6.
In an equation, the unknown could be present, as in 10 + x = 6 + 6.
So, find the block's volume first:
= Length * Width * Height
= 2 x 3 x 1.4
= 8.4 cm
Now that you know the volume and the mass, you can add them to the density formula, which is as follows:
= Mass / Volume
Assuming density is represented by the symbol b, the formula would be:
d = 25 g / 8.4 cm
Therefore, the block's density can be calculated using the equation d=25g/8.4 cm.
Know more about equations here:
https://brainly.com/question/28937794
#SPJ4
Correct question:
A student is trying to identify the composition of a pure metal block by determining its density. The student records the mass of the sample to be 25.00 g. The rectangular block is 2.0 cm x 3.0 cm x 1.4 cm.
Which equation is necessary to determine the density sample?
make x subject
u= cos 0.5x
Answers
By making x the subject of the formula in this equation u = cos(0.5x) gives x = 2cos⁻¹(u).
How to make x the subject of the formula?In Mathematics and Geometry, an equation can be defined as a mathematical expression which shows that two (2) or more thing are equal. This ultimately implies that, an equation is composed of two (2) expressions that are connected by an equal sign.
In this exercise, you are required to make "x" the subject of the formula in the given mathematical equation by using the following steps.
By taking the arc cosine of both sides of the equation, we have the following:
u = cos(0.5x)
cos⁻¹(u) = 0.5x
By multiplying both sides of the mathematical equation by 2, we have the following:
2 × cos⁻¹(u) = 0.5x × 2
x = 2cos⁻¹(u)
Read more on expression here: brainly.com/question/25767785
#SPJ1
Myrna is buying a new rug for her living room. It it spilt into 3 panels, as shown in the diagram. What is the area of the rug, in the square feet?
Answers
Answer:
The answer is 96 square feet because if you look at the first rectangle (the one on the top left), you should multiply 5 times 6 which equals 30. (The reason you would do this is because you want to find the area of all of the rectangles first and then add them together in order to get the total area of the rug.) Then, you would look at the second rectangle (the one on the right), and you would multiply 8 times 6 which is 48. Next, you would look at the last rectangle (the one on the lower left) and multiply 6 times 3 which is 18. Finally, you have to add 30+48+18 and then you would get your final answer which is 96 square feet.
3 4 7 11 next two terms are
Answers
Answer:
18 and 29 are the following terms in the series pattern as a result.
Step-by-step explanation:
The series pattern 1, 3, 4, 7, and 11 is given, and the two next numbers in the series is to be found
Let's find the logic behind the series pattern arrangement
Term one is one, and term two is three.
The third term appears to be the sum of the first and second terms
= 3+4 = 7
The fourth term appears to be the sum of previous two terms
= 4+7 = 11
Accordingly, the following term should be equal to the sum of the two terms before it, which is 7+11 = 18 , using the same pattern.
Similarly Next term is = 11+18 = 29 , using the same pattern.
18 and 29 are the following terms in the series pattern as a result.
To know more about Terms
https://brainly.in/question/25728179
#SPJ4
Using long division, what is the quotient of 3x^4 + 20x^3+ 14x^2+ 17x + 30 and X+6?
Answers
See the attatched file.
A teacher will select 7 students in a class of 10 to participate in a social experiment. How many different groups are possible?
Answers
Answer:
the answer is 7/10=0.70
Answer:
7 gropus thats how manh
Solve (2^2x+1)-9(2^x)+4=0
Answers
x₁ = - 1
x₂ = 2
Step-by-step explanation:2²ˣ⁺¹ - 9ₓ2ˣ + 4 = 0
2²ˣₓ2 - 9ₓ2ˣ + 4 = 0
2ˣ = n
2n² - 9n + 4 = 0
2n² - n - 8n + 4 = 0
n(2n - 1) - 4(2n - 1) = 0
(2n - 1)(n -4) = 0
2n - 1 = 0 => n₁ = 1/2
n - 4 = 0 => n₂ = 4
2ˣ = 1/2 => 2ˣ = 2⁻¹ => x₁ = - 1
2ˣ = 4 => 2ˣ = 2² => x₂ = 2
Solve the system of equations y=x^2-3x+2
y=-9x-3
Answers
Point Form:
(3, 0)
Equation Form:
x = 3, y = 0
WILL GIVE 5 STARS
Angela plays soccer and golf for a total of 125 minutes every day. She plays soccer 45 minutes more than she plays golf.
Part A: Write a pair of linear equations to show the relationship between the number of minutes Angela plays soccer (x) and the number of minutes she plays golf (y) every day. (5 points)
Part B: How much time does Angela spend playing golf every day? (3 points)
Part C: Is it possible for Angela to have spent 80 minutes playing soccer every day? Explain your reasoning.
Answers
A: The linear equations are x + y = 125 and x = y + 45.
B: Everyday Angela spends 40 minutes in playing golf.
C: No, it is not possible for Angela to spend 80 minutes playing soccer every day.
What is a linear equation?
A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
Part A:
Let x be the number of minutes Angela plays soccer every day
Let y be the number of minutes Angela plays golf every day
According to the problem statement the linear equations are -
x + y = 125 (total time playing both sports is 125 minutes)
x = y + 45 (Angela plays 45 more minutes of soccer than golf)
Part B:
Substitute x = y + 45 into the first equation -
(y + 45) + y = 125
Use the addition operation -
2y + 45 = 125
2y = 80
y = 40
Angela spends 40 minutes playing golf every day.
Part C:
If Angela spends 80 minutes playing soccer every day, then
x = 80
y + 45 = 80 (using the equation x = y + 45)
y = 35
But this would mean that she plays golf for 35 minutes and soccer for 80 minutes, which adds up to a total of 115 minutes.
This is not possible since the problem states that Angela plays both sports for a total of 125 minutes every day.
Therefore, it is not possible for Angela to have spent 80 minutes playing soccer every day.
To learn more about linear equation from the given link
https://brainly.com/question/2226590
#SPJ1
How are quarts and gallons related?
Answers
Answer:A quart contains 4 cups or 2 pints while a gallon contains 16 cups or 8 pints. Hence, a liquid gallon is equal to 4 liquid quarts.
Step-by-step please give me brainiest and have a nice day :)
316 round to the nearest 100
Answers
Answer:
300
Step-by-step explanation:
round the number up to the nearest hundred if the last two digits in the number are 50 or above. round the number down to the nearest hundred if the last two digits in the number are 49 or below.
Answer:
300
Step-by-step explanation:
300 IS CLOSER THEN 400
Select ALL the correct answers.
Which shapes have the same volume as the given rectangular prism?
8 cm
15cm
base area = 50 cm
Answers
A.) 15cm 5cm height base area 50 cm
B.) 8cm 5cm height base area 50 cm
C.) 24 cm height base area 50 cm
D.) 18 cm 15 cm height base area 50 cm
Answers
Answer: I think it’s A the cylinder
Step-by-step explanation:
For PLATO users, the answers are the cylinder and the cone, NOT EITHER OF THE PYRAMIDS!!! Your welcome....
Mr.Henry needs to distribute materials to make colored fans to the students in a craft class.The materials that are needed are glue,scissors,and paper.He has 30 bottles of glue,15 pairs of scissors and 60 sheets of colored paper.Every student must receive the same materials.What is the maximum number of students that Henry can distribute this material to,with no material left over?
Answers
Answer:
He can distribute these materials to the maximum of 15 children
Ximena pays a flat cost of $44.50 per month and $4 per gigabyte. She wants to keep her bill at $50.10 per month. How many gigabytes of data can she use while staying within her budget?
Answers
Answer:
Ximena can use 1 gigabytes of data
Step-by-step explanation:
The first thing you want to do is subtract
51.10 - 44.50 = 5.6
5.6 is the amount of money she will have to spend on data
With each gigabyte costing 4 dollars and only 5 dollars to spend
she can only use one gigabyte
According to a poll, 80% of Americans report being afflicted by stress. Suppose a random sample of 1,200 Americans is selected. Complete parts (a) through (d) below.
a. What percentage of the sample would we expect to report being afflicted by stress?
Answers
The percentage of the sample selected at random that would be expected to be afflicted by stress would also be = 80%
How to calculate the percentage afflicted by stress?The percentage of a data set is when part of the data is represented per 100 with a symbol of %.
It was stated in the question that 80% of Americans report being afflicted by stress.
Therefore when a sample is randomly selected from an American population, the percentage that is expected to be afflicted by stress should also be 80%.
Learn more about percentage here:
https://brainly.com/question/24339661
#SPJ1