Triangle OPQ is shown below with line RS passing through points R and S:
R
S
If triangle OPQ is dilated about the center of the triangle to create triangle O'P'Q', what can you
conclude about segments RS and R'S'? (6 points)
Segment O'Q' is perpendicular to segment R'S'.
Line RS is parallel to line R'S'.
Line RS is perpendicular to line R'S:
Point P' passes through line RS.

Shahina can make apple crumble for 6 people with 550g of apple

From the question, we have the following parameters that can be used in our computation:

For 8 people it is:

700g of apple, 40g butter, 240g sugar and 180g flour

This means that the grams of apple for 1 person is

Apple unit rate = 700g of apple/Number of people

Substitute the known values in the above equation, so, we have the following representation

Apple unit rate = 700g of apple/8

For 6 people, we have the following equation

Amount = Apple unit rate * Number of people

Substitute the known values in the above equation, so, we have the following representation

Amount = 6 * 700g of apple/8

Evaluate

Amount = 525g of apple

525g of apple is less than 550g of apple

Hence, she can make apple crumble for 6 people

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Solving this equation gives us a half-life of approximately 1.36 years. Rounded to two decimal places, the half-life of this substance is 1.36 years.

The half-life of a substance is the amount of time it takes for half of the atoms in a sample of the substance to decay.

To find the half-life, you can use the following formula:

half-life = (time) * ln(2) / ln(initial mass / final mass)

half-life = (1 year) * ln(2) / ln(32 mg / 25.5 mg)

Solving this equation gives us a half-life of approximately 1.36 years.

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Answer: 1.5 hours

Step-by-step explanation:

I assume you’re trying to find how much time she is doing other activity.

2 1/4 - 3/4 is equal to:

2.25-0.75

That equals 1.5.

Santiago creates a playlist of Latin dance music. The playlist contains bachata, salsa, and mambo tracks, as shown in the table. Santiago puts the playlist on shuffle mode. What is the probability that the first track he hears is a salsa track?

Answer:8/20

Step-by-step explanation:i did the quiz and it is correct

The values of of the functions f(x)=3x+2 and g(x)=x²-x are: (14) 14, (15) 26, (16) -4, (17) 2, (18)12, (19) 42 (20)7, (21)2, (22)2, (23)5 (24) 3x+5 (25) 9b²-3b

We should know that in each of the functions, we have to substitute the given values

The given functions are

f(x)=3x+2

g(x)=x²-x

(14) f(x)=3x+2

Substitute for x

f(4)=3*4+2

f(x)=12+2=14

(15) f(8)=3x+2

f(8)=3*8+2

Substitute for x

f(x)=24+2 = 26

(16) f(-2)=3*-2+2

Substitute for x

f(-2)=-6+2

f(x)=-4

(17) g(2)=2²-2

Substitute for x

g(x)=4-2

g(x)=2

(18) g(-3)=3²-(-3)

Substitute for x

g(x)=9+3 = 12

(19)g(-6)=-6²-(-6)

g(x)=36+6 = 42

(20) f(2)+1

Substitute for x

=2*3+1

=6+1

=7

(21)  f(1)-1

3*1-1 = 2

(22) g(2) -2

2²-2

4-2=2

23 = g(-1)+4

-1²+4

1+5=5

(24) f(x+1)

Substitute for x

= 3(x+1)+2

=3x+3+2

=3x+5

(25) g(3b)

Substitute for x

=(3b)²-3b

9b²-3b

In conclusion, the values of the values of of the functions f(x)=3x+2 and g(x)=x²-x are: (14) 14, (15) 26, (16) -4, (17) 2, (18)12, (19) 42 (20)7, (21)2, (22)2, (23)5 (24) 3x+5 (25) 9b²-3b

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Answer:

72

Step-by-step explanation:

We are told that line AC divides angle BAE in half or "bisects" it. We are also told that line AD divides angle CAE in half as well. Lastly we are giving the value of angle DAE which is 36.

Since line DA split angle CAE in half and we have half of the value, that means that the measure of angle CAE is 36 times 2 which is 72.

72 happens to be our answer for angle BAC because angle BAC is half of the largest angle BAE, which was divided in two by line AC.

Hope this helps!

The possible slope of the line is (c) 3

From the question, we have the following parameters that can be used in our computation:

This means that the line is ascending from left to right in which case, the slope of the line is positive.

So, the possible values of the slope include the set of numbers greater than 0.

From the options, we have (c) 3

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The solution is

a) The compound interest for the second period is $ 2.01 and the amount after the second period is $ 404.01

b) The compound interest for the first period is $ 114.125 and the amount is $ 18,374.125

The compound interest for the second period is $ 114.83828125 and the amount after second period is $ 18,488.96

What is Compound Interest?

Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.

The formula for calculating Compound Interest is

A = P ( 1 + r/n )ⁿᵇ

where A = Final Amount

P = Principal

r = rate of interest

n = number of times interest is applied

b = number of time periods elapsed

Given data ,

a)

Let the principal be P = amount after first period =  $ 402

Now , the rate of interest r = 6 %

The compound interest is calculated by compounding monthly

Now , the interest for the second period = ( PRT / 100 x 12 )

Substituting the values in the equation , we get

The interest for the second period = ( 402 x 6 x 1 ) / 1200

The interest for the second period = $ 2.01

The amount after the second period = amount after first period +  interest for the second period

The amount after the second period = 402 + 2.01

The amount after the second period = $ 404.01

b)

Let the principal be P = $ 18260

The rate of interest r = 2.5 %

The compound interest is calculated by compounding quarterly

Now , the interest for the first period = ( PRT / 4 x 100 )

Substituting the values in the equation , we get

The interest for the first period = ( 18260 x 2.5 ) / 400

The interest for the first period = 45650 / 400

The interest for the first period = $ 114.125

The amount for the first period = 18260 + 114.125

The amount for the first period = $ 18,374.125

Now , the principal for the second period = interest + amount of first period

The principal for the second period = $ 18,374.125

The rate of interest = 2.5 %

The interest for the second period = ( PRT / 4 x 100 )

Substituting the values in the equation , we get

The interest for the second period = ( 18374.125 x 2.5 ) / 400

The interest for the second period = 45935.3125 / 400

The interest for the second period = $ 114.83828125

The amount for the second period = 18,374.125+ 114.84

The amount for the second period = $ 18,488.96

Hence , the amount and interest is calculated

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Yes, a post hoc test should be performed after an ANOVA with three or more levels if the ANOVA finds a significant result.

Post hoc tests are used to determine which specific levels within the factor are responsible for the significant result.

1. An ANOVA is performed to test if there is a significant difference between the means of three or more levels of a factor.

2. If the ANOVA finds a significant result, then a post hoc test should be performed to determine which specific levels within the factor are responsible for the significant result.

3. Post hoc tests compare the means of each level of the factor to determine which levels are significantly different from each other and which are not.

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The probability of men whose height falls between 70 and 73 inches is  0.273. Therefore, the percent of men whose height falls between 70 and 73 inches is 27.3%. Therefore, the solution is 27.3%.

The standard deviation is a quantity that reveals how much variance from the mean there is, including spread, dispersion, and spread. A "typical" variation from the mean is shown by the standard deviation. Because it uses the data set's original units of measurement, it is a well-liked measure of variability.

We are informed that the heights of men in the U.S are normally distributed with a mean of 70 inches and a standard deviation of 3 inches. We need to determine the percent of men whose height falls between 70 and 73 inches. We would first evaluate the probability that the height of a randomly selected individual would fall between 70 and 73 inches;

This can be done in stat-crunch;

Click Stat, highlight on Calculators then click Normal

In the pop-up window that appears click Between

Enter the given values of mean and standard deviation; 70 and 3 respectively

Enter the values 70 and 73 in the next set of boxes in that order

Finally, click on compute;

Stat-Crunch returns a probability of 0.273. Therefore, the percent of men whose height falls between 70 and 73 inches is 27.3%. Therefore, the solution is 27.3%.

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Answer:

The length of the sides of the second pentagon would be half of 5 inches, or 2.5 inches. This is because when you halve the length of a line, the new line is half as long as the original.

As per the sign system of the Cartesian plane coordinates of A' will be (x,-y).

The cartesian plane is defined in mathematics as a two-dimensional coordinate plane formed by the intersection of the x- and y-axes. The origin is the point where the x- and y-axes intersect perpendicularly.

Quadrant one (QI) is the top right fourth of the coordinate plane, where all coordinates are positive. Quadrant two (QII) is the coordinate plane's top left fourth. Quadrant three (QIII) is the fourth from the bottom left. Quadrant four (QIV) is the fourth from the bottom right.

Given:

The direction of rotation = clockwise, (from the first quadrant to forth quadrant then third quadrant, and so on)

Angle of rotation = 90° about the origin

According to the question, let's take our start point as A(x, y)

So, A( x, y) will lie in the first quadrant.

After 90° rotation about the origin A' will lies in fourth quadrant.

As per the sign system of the Cartesian plane coordinates of A' will be (x,-y).

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The python program code is written to find the area of the shape.

The size of a region on a planar or curved surface is expressed mathematically as area. The term "surface area" refers to the area of an open surface or the perimeter of a three-dimensional object, whereas "plane area" refers to the area of a shape or planar lamina.

The program is given as:

print('Please, enter sides lengths:')

# Getting sides lengths

a, b, c, d, e = map(float, (input('A = '), input('B = '), input('C = '), input('D = '), input('E = ')))

# Finding a rectangle area

rect_area = a * b

# Finding a triangle area

triang_height = (c**2 - (a / 2)**2)**0.5

triang_area = 0.5 * a * triang_height

# Sum area

area = rect_area + triang_area

print('Total room area: %f' % area)

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The correct option regarding the correlation coefficient of the data-set is given as follows:

C. As budgets increased, the gross revenue increased; r = 0.62.

The correlation coefficient is an index between -1 and 1 that measures the relationship between two variables, as follows:

The coefficient is obtained with a correlation coefficient calculator, inserting the points of the data-set into the calculator.

From the table given by the image, the points are given as follows:

(0.3, 2.05), (0.25, 0.39), (0.2, 1.35), (0.2, 1.24), (0.2, 0.63), (0.18, 0.79), (0.18, 0.53), (0.18, 0.35).

Inserting these points into a calculator, the value of the coefficient is given as follows:

r = 0.62.

Meaning that there is a positive relation amount the variables, and option C is correct.

Option D would be correct if 0.62 was the slope of the line of best fit, hence this is not the case.

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Answer:

answer is attached.

Step-by-step explanation:

The correct option regarding whether the two functions are inverse functions is given as follows:

B. No, because the composition does not result in an answer of x.

Two functions are inverses of each other if the composition of these two function has a result of x.

From the image given at the end of the answer, the two functions in this problem are defined as follows:

Their composition is given as follows:

[tex](G \circ F)(x) = G(\sqrt{x} + 4)[/tex]

[tex](G \circ F)(x) = (\sqrt{x} + 4)^2 - 4[/tex]

[tex](G \circ F)(x) = x + 8\sqrt{x} + 16 - 4[/tex]

[tex](G \circ F)(x) = x + 8\sqrt{x} + 12[/tex]

The composition does not result in x, hence the two functions are not inverses and the correct statement is given by statement B.

The problem is given by the image shown at the end of the answer.

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the value of y is 3 when the value of x is 8.

what is proportional relationship?

When two variables are correlated in a manner that their ratios are equal, this is known as a proportional relationship. In a proportional connection, one variable is always a constant value multiplied by the other, which is another way to think of them. The "constant of proportionality" is the term used to describe that constant.

Given x and y will have a proportional relationship if the ratio of x to y will be equal for all given values.

Given y is inversely proportional to x

When x=3, y=1/x = 8

So when x = 8 the value of y =3

Hence the value of y is 3 when the value of x is 8.

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Answer:

n = 4

Step-by-step explanation:

2:8 ==> 2/8

1:n ==> 1/n

2/8 = 1/n

n * 2/8 = n * 1/n

2n/8 = 1

8 * 2n/8 = 8 * 1

2n = 8

n = 8/2

n = 4

For 10 days that bag will last when Mr. Eder's buys 6 pound bag of dog food, using kg to pound conversion and simple basic arithmetic operation.

How to convert kg to pound ?

We know that 1 Kg = 2.20 pound.

The dog is to eat 1/4 * 2.20 = 0.55 pound food

Weight of bag brought by him = 6 pound

The basic operations are :

Addition : (+) To get sum of two or more values

e.g. a = 3, b = 5

Addition = 3+5

              = 8

Subtraction : (-) The result of subtraction is the “difference”

e.g. Subtraction of a and b = a-b

                                             = 3-5

                                            = -2.

Multiplication : (*) The result of multiplication is the “product”

e.g. Multiplication of a and b = 3*4

                                                = 12

Division : (/) The result of division is the “quotient”

e.g. Division of 4 and 2 is = 4/2

                                           = 2.

so, the number of days bag can be used = 6/0.55

                                                                     = 10.90

So, the bag can be used for complete 10 days.

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There will be 40% chance that the team will win.

Odds, are given as (chances for success) : (chances against success) or vice versa.

If odds are stated as an A to B chance of winning then the probability of winning is given as P(winning) = A / (A + B) while the probability of losing is given as P(Losing) = B / (A + B).

For 2 to 3 odds for winning:

P(winning) = 2/2+3

                 = 2/5

                 = 0.4

⇒ The percent chance of winning is 40.

Therefore, 40% is the required answer.

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Answer: 3.74 inches.

Step-by-step explanation: We can use the following to help us solve this proportion:

1.4 / 1.54 = 3.4 / x (where x is the unknown value that we are trying to solve)

1.54 / 1.4 = 1.1

x / 3.4 = 1.1

The only number that can make the following above true is 3.74, so that is your answer.

Let me know if this is right! :)

Answer:

1. Scalene Triangle

2. 135 degrees

3. 80 degrees

I don't have much time for the rest, i'm sryyyyy

I hope i could helppp :3

Answer:

B=20

C = 40  

These are the answers

Domain: x > –6; range: all real numbers are the domain and range of f (x).

What is domain and range ?

The range of values that can be plugged into a function is known as its domain. The x values for a function like f make up this set (x).

                              The collection of numbers that the function assumes is known as its range. After we enter an x value, the function outputs this sequence of values.

we need to remove all the values of x such that

x + 6 ≤ 0

Solving for x, we get

x ≤ -6

So the only values of x allowed are the ones that make the next inequality true:

x > -6.

Thus we can write the domain as:

D {x | x ∈ R | x > -6}

Where the second part, x ∈ R, is usually ignored, as we assume that x is a real number .

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Answer:

2 or B

Step-by-step explanation:

The answer above is correct.

Answer:

  30°

Step-by-step explanation:

You want the angle of elevation to a point 2900 feet up that is 5800 feet distant on a straight line.

The sine of the angle is the ratio of the height to the straight-line distance.

  sin(θ) = h/d = 2900/5800 = 1/2

  θ = arcsin(1/2) = 30°

The angle of elevation is 30° from the base to the top.

Answer: When doing a problem like this I always draw an example so I can see it. If you do that you see a right triangle with the hypothenuse, 2500 feet, is the distance from the top to the base. The opposite side is 1250 feet. Then remember  sine= o/h, (opposite side over hypothenuse). So divide 1250/2500 and you get .5  Now take your calculator and use "inv" or sin-1 button to get the answer of the angle. x = 30

sinθ 1250/2500 = 1/2; θ = sin-1(1/2) = 30°

Step-by-step explanation:

Answer:

The first answer on the bottom goes with the picture on top.

The second answer on the bottom goes with the table on the bottom.

Step-by-step explanation:

It is just asking you to list the x values and the y value.  The x values are the domains and the y values are the ranges.  That's it.

The fraction of a box that can be filled with the leftover textbooks is 10.

What is a fraction?

A fraction is a number that represents a part of a whole or a part of a collection. It is written in the form a/b, where a is called the numerator and b is called the denominator.

To find the fraction of a box that can be filled with the leftover textbooks, we need to first find the total number of textbooks that are leftover. We can do this by subtracting the number of fourth-grade textbooks and the number of fifth-grade textbooks from the total number of textbooks that can fit in a box:

Leftover textbooks = (28 textbooks/box) - (125 textbooks) - (191 textbooks)

= 28 textbooks - 125 textbooks - 191 textbooks

= -288 textbooks

Since there are -288 leftover textbooks, we can fill -288/-28 =-288/-28=10 boxes with the leftover textbooks.

Hence, the fraction of a box that can be filled with the leftover textbooks is therefore 10/1 = 10.

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The fraction of a box that can be filled with leftover textbooks is 125/7

What is the fraction?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

To find the fraction of a box that can be filled with leftover textbooks,

we need to first determine the total number of textbooks that will fit in a box.

Since a box can hold 28 textbooks, and the school has bought 125 Fourth Grade math textbooks and fifth-grade math textbooks,

the total number of textbooks the school has is 125 + 125 = 250 textbooks.

To find the fraction of a box that can be filled with leftover textbooks,

we can divide the total number of leftover textbooks by the total number of textbooks that fit in a box.

Since there are 250 leftover textbooks and a box can hold 28 textbooks, the fraction of a box that can be filled with leftover textbooks is 250/28.

Simplifying this fraction, we get:

250/28 = (250/14)/(28/14) = (250/14)/2 = 125/7

Therefore, the fraction of a box that can be filled with leftover textbooks is 125/7.

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Answer:

6/5

Step-by-step explanation:

slope = m = y2-y1/x2-x1

change in y: 7-1 = 6

change in x: 10-5 = 5

slope = 6/5

Answer:

The answer is 2

Step-by-step explanation:

y2-y1/x2-x1

The area expression as products is 7 * (8 + 6)

From the question, we have the following parameters that can be used in our computation:

Area = 54 + 42

Express 54 as a product of 7 and 8

So, we have the following representation

Area = 7 * 8 + 42

Express 42 as a product of 7 and 6

So, we have the following representation

Area = 7 * 8 + 7 * 6

Factor out 7

This gives

Area = 7 * (8 + 6)

Hence, the expression using GCF is 7  * (8 + 6)

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