Use the graph to answer the question. Graph of a polygon ABCD with vertices at 4 comma 4, 12 comma 4, 12 comma 8, 4 comma 8 and a second polygon A prime B prime C prime D prime with vertices at 1 comma 1, 3 comma 1, 3 comma 2, 1 comma 2. Determine the scale factor used to create the image. one half 2 one fourth 2.5

Answer:

The quotient of 837 divided by 26 is approximately 32.2692 (rounded to four decimal places).

since its on a straight line we instantly know that u+100=180 since a straight line is 180 degrees. From thay we can easily find out that u=180-100=80. So u is 80 degrees. Also pls mark as brainliest answer thx.

Answer:

u=180

Step-by-step explanation:

The two angles add together to form a straight line, so they add to 180

100+u = 180

u = 180-100

u= 80

It should be noted that to select the location of -2 and -9 on the number line, the steps are given below.

Draw a number line with zero in the center and a positive direction to the right and a negative direction to the left.

Find the position of -9 by counting 9 units to the left of zero on the number line. Mark this point with a dot or a cross.

Find the position of -2 by counting 2 units to the left of zero on the number line. Mark this point with a dot or a cross.

Label the points as -9 and -2 to indicate their values.

Your number line should now have two marked points at positions -9 and -2.

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The measure of  angle CFE is determined as 29⁰.

The measure of angle CFE is calculated by applying the following formula.

The intersecting chord theorem, also known as the intersecting chords inside and outside theorem, is a geometric property that applies to chords (line segments that connect two points on the circumference of a circle) that intersect inside or outside a circle.

Based on the angle of intersecting chord theorem, we will have the following equation.

m∠CFE = ¹/₂( arc angle CE )

arc CE = 360 - 302 (sum of angles in a circle)

arc CE = 58⁰

m∠CFE = ¹/₂ x 58

m∠CFE = 29⁰

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Answer:

40 m²

Step-by-step explanation:

Area of triangle:

To find the area of triangle, multiply the base and area and then divide it by 2.

      base = b = 8 m

height      = h = 10m

      [tex]\boxed{\bf Area \ of \ triangle = \dfrac{1}{2}*b*h}[/tex]

                                     [tex]= \dfrac{1}{2}*8 * 10\\\\= 4 * 10\\\\= 40 \ m^2[/tex]

The depreciation expense for each year is 1,000,000 shs.

Accumulated depreciation up to year 6 is 6,000,000 shs.

The depreciation using the straight line method is given by the formula:

Depreciation expense per year = (Initial cost - Salvage value) / Useful life

Initial cost = 5,000,000 + 800,000 + 1,500,000 = 7,300,000 shs.

Salvage value = 1,300,000 shs.

Depreciation expense per year = (7,300,000 - 1,300,000) / 6

                                                    = 6,000,000 / 6

                                                    = 1,000,000 shs.

Thus, the depreciation expense for each year is 1,000,000 shs.

Accumulated depreciation up to year 6 = Depreciation expense per year * Number of years

Accumulated depreciation up to year 6 = 1,000,000 * 6 = 6,000,000 shs.

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The number of people who play only football is |A' ∩ B' ∩ C'| = 25. So, 25 people play only football.

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It involves the use of various methods and techniques to draw conclusions from data and make informed decisions.

The main goal of statistics is to provide a systematic approach to understanding and interpreting data, which can be used in a wide variety of fields, including business, social sciences, engineering, medicine, and many others. Statistics is used to study and analyze various types of data, including numerical, categorical, and ordinal data, as well as time series and spatial data.

Let A, B, and C be the sets of people who play football, baseball, and hockey, respectively. We know that:

|A| = 61, |B| = 65, |C| = 72

We also know that:

|A ∩ B ∩ C| = 22, |A ∪ B ∪ C| = 141, |A' ∩ B' ∩ C'| = 11

where A', B', and C' denote the complements of A, B, and C, respectively.

We can use the principle of inclusion-exclusion to find the number of people who play only two games. This principle states that:

|A ∪ B ∪ C| = |A| + |B| + |C| - |A ∩ B| - |A ∩ C| - |B ∩ C| + |A ∩ B ∩ C|

Using the given values, we can substitute and simplify to get:

141 = 61 + 65 + 72 - |A ∩ B| - |A ∩ C| - |B ∩ C| + 22

|A ∩ B| + |A ∩ C| + |B ∩ C| = 75

We also know that an equal number of people play only two games, so let x be that number. Then:

|A ∩ B| = |A ∩ C| = |B ∩ C| = x

Substituting into the previous equation, we get:

3x = 75

x = 25

Therefore, 25 people play only two games. To find the number of people who play only football, we need to subtract the number of people who play baseball and hockey from the number of people who play only two games:

|A' ∩ B ∩ C| = x = 25

|A' ∩ B ∩ C'| = 11

|A' ∩ C ∩ B'| = x = 25

|A ∩ B' ∩ C'| = x = 25

|A' ∩ B| = 65 - (25 + 11) = 29

|A' ∩ C| = 72 - (25 + 11) = 36

|A' ∩ B' ∩ C| = 61 - (25 + 11) = 25

|A ∩ B' ∩ C| = 141 - (29 + 25 + 36 + 11) = 40

Therefore, the number of people who play only football is:

|A' ∩ B' ∩ C'| = 25

So, 25 people play only football.

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The indicators which would cause you to reject normality for a sample of data are:

A histogram of the data shows bar heights decreasing from left to right.

A histogram of the data shows bar heights decreasing from right to left.

In statistics, a sample refers to a group of individuals, objects, or observations selected from a larger population. The sample is chosen to represent the population and to provide information about the characteristics, behavior, or preferences of the population. Sampling is a common method used in statistical analysis to estimate population parameters, such as the mean or standard deviation. By analyzing the sample data, researchers can draw inferences about the population from which the sample was drawn.

Here,

Both of these indicators suggest that the data is not symmetric and may have a skewed distribution. The following indicators suggest that the data is likely normally distributed:

A normal probability plot of the data follows a linear pattern.

A histogram of the data shows that all bars have similar heights.

A normal probability plot is a graphical tool used to assess the normality of a data set. If the plot follows a straight line, it suggests that the data is normally distributed. Similarly, a histogram with bars of similar heights suggests that the data is symmetric and may be normally distributed.

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Answer:

We can use the formula for simple interest to solve this problem:

I = Prt

where I is the amount of interest earned, P is the principal (the initial amount invested), r is the annual interest rate (as a decimal), and t is the time (in years).

In this problem, we know that P = $6,000, r = 0.08, and I = $1,680. We want to find t, the time required to earn $1,680 in interest.

Substituting these values into the formula, we get:

$1,680 = $6,000 x 0.08 x t

Simplifying and solving for t, we get:

t = $1,680 / ($6,000 x 0.08) = 3.5 years

Therefore, it will take 3.5 years for $6,000 invested at 8% interest to earn $1,680 in interest.

The two middle terms, -11w and +11w, cancel each other out, leaving only the first and last terms. This is why there is no middle term with a variable in the factorization of the difference of squares pattern.

When expanding a binomial expression in the form of (a + b)ⁿ, the middle term can be found using the following formula:

Middle term coefficient = nC(k), where k = (n+1)/2 if n is odd, and k = n/2 or (n/2 + 1) if n is even. The middle term coefficient is then multiplied by the product of a raised to the power of (n-k) and b raised to the power of k.

The difference of squares pattern is a special algebraic pattern that arises when we factor a polynomial that is the difference between two perfect squares. For example,

x² - y² = (x+y)(x-y)

When we apply this pattern to the expression w - 121, we can rewrite it as:

w² - 11²

And, we can use the difference of squares pattern to factor it as:

(w + 11)(w - 11)

Notice that there is no middle term with a variable in this factorization. This is because when we multiply (w + 11)(w - 11), the middle term cancels out.

To see why this happens, let's expand the product:

(w + 11)(w - 11) = w² - 11w + 11w - 121

The two middle terms, -11w and +11w, cancel each other out, leaving only the first and last terms. This is why there is no middle term with a variable in the factorization of the difference of squares pattern.

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With the given compound interest, Total amount paid is $5,593.20 and you paid $1,379.40 more for the loan due to your bad credit score.

What is Compound interest?

Compound interest is the interest calculated on the initial principal as well as on the accumulated interest from previous periods. In other words, it is the interest earned not only on the principal amount but also on the interest previously earned.

Now,

To find the monthly payment, we can use the loan payment formula:

P = (Pv*r)/(1-(1+r)⁻ⁿ)

where P is the monthly payment, Pv is the present value of the loan, r is the monthly interest rate, and n is the total number of payments.

For your loan with a 15% APR, the monthly interest rate is 15%/12 = 1.25%.

For a 5-year loan with monthly payments, the total number of payments is 5 x 12 = 60.

So, plugging in the values, we get:

P = (5000*0.0125)/(1-(1+0.0125)⁻⁶⁰)) = $116.21

Your total amount paid over 5 years is:

Total amount paid = P x n = $116.21 x 60 = $6,972.60

For your friend's loan with a 5% APR, the monthly interest rate is 5%/12 = 0.42%.

Using the same formula as above, we get:

P = (5000*0.0042)/(1-(1+0.0042)⁻⁶⁰) = $93.22

Your friend's total amount paid over 5 years is:

Total amount paid = P x n = $93.22 x 60 = $5,593.20

The difference in the total amount paid is:

$6,972.60 - $5,593.20 = $1,379.40

Therefore, you paid $1,379.40 more for the loan due to your bad credit score.

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Remaining distance left to cover his goal = 13/8 miles

Distance is an object's overall motion in a directionless fashion. Regardless of the starting or ending point, distance can be defined as the amount of space an object has covered.

In mathematics, a fraction is used to represent a portion or component of the whole. It stands for the equally important components of the whole. The numerator and denominator are the two components of a fraction. The numerator is the number at the top, while the denominator is the number at the bottom. The denominator specifies the total number of equal parts in the whole, whereas the numerator specifies the number of equal parts taken.For example, 5/10 is a fraction.

Here, 5 is a numerator and 10 is a denominator.

According to question,

Total distance by sam = 7/2 miles

Distance walked before lunch = 9/8 miles

Distance walked after resting = 3/4 miles

Remaining distance needed to cover = 7/2-(9/8+3/4)

                                                             =7/2-15/8

                                                             =13/8 miles

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The probability that y is between 5.1 and 5.7 is approximately 0.4292.

Probability is a way to gauge how likely or unlikely something is to happen. It is a number between 0 and 1, where 0 denotes an improbable event and 1 denotes an inevitable one.

Since the sample size is large (n = 70), we can use the Central Limit Theorem to approximate the sampling distribution of the sample mean as normal with mean μ = 5 and standard deviation σ/sqrt(n) = 2/sqrt(70) ≈ 0.24.

Now we want to find the probability that y, the sample mean, is between 5.1 and 5.7. We can use the standard normal distribution to do this by standardizing y:

z = (y - μ) / (σ / sqrt(n)) = (y - 5) / 0.24

The probability that y is between 5.1 and 5.7 is equivalent to the probability that z is between:

z1 = (5.1 - 5) / 0.24 ≈ 0.42

and

z2 = (5.7 - 5) / 0.24 ≈ 2.92

Using a standard normal distribution table or calculator, we can find that the probability of z being between z1 and z2 is approximately 0.4292.

Therefore, the probability that y is between 5.1 and 5.7 is approximately 0.4292.

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Answer: We can solve this problem by counting the number of trees that have at least 21 apples and subtracting the number of trees that have at least 80 apples.

Let T be the total number of trees in the orchard, and let n1 be the number of trees that have at least 21 apples, and n2 be the number of trees that have at least 80 apples. Then the number of trees that have at least 21 apples but fewer than 80 apples is:

n1 - n2

To find n1 and n2, we need to know the distribution of the number of apples on each tree. Without this information, we can't find an exact answer. However, we can make some reasonable assumptions and estimate the answer.

Assuming that the number of apples on each tree follows a normal distribution with mean μ and standard deviation σ, we can use the empirical rule (also known as the 68-95-99.7 rule) to estimate the proportion of trees that have at least 21 apples and at least 80 apples. According to this rule:

- Approximately 68% of the trees will have a number of apples within one standard deviation of the mean.

- Approximately 95% of the trees will have a number of apples within two standard deviations of the mean.

- Approximately 99.7% of the trees will have a number of apples within three standard deviations of the mean.

Assuming that the mean number of apples per tree is around 50 (a reasonable estimate based on typical apple orchard data), and that the standard deviation is around 20 (based on empirical data), we can estimate the proportion of trees that have at least 21 apples and at least 80 apples as follows:

The lower bound for the number of apples on a tree that is one standard deviation below the mean is around 30. Therefore, approximately 16% of the trees will have at least 21 apples.

The upper bound for the number of apples on a tree that is two standard deviations above the mean is around 90. Therefore, approximately 2.5% of the trees will have at least 80 apples.

Using these estimates, we can calculate an approximate number of trees that have at least 21 apples but fewer than 80 apples as follows:

n1 - n2 = 0.16T - 0.025T = 0.135T

Therefore, approximately 13.5% of the trees in the orchard have at least 21 apples but fewer than 80 apples. If we know the exact distribution of the number of apples on each tree, we could calculate a more precise answer.

Step-by-step explanation:

Answer:

One possible rational function that satisfies the given properties is:

r(x) = (x-2)(x-6) / [(x-3)(x-5)]

Step-by-step explanation:

x-intercepts at (2,0) and (6,0)

The x-intercepts are the points where the function crosses the x-axis, i.e., where the function value is zero. Since we are given that the function has x-intercepts at (2,0) and (6,0), we know that the function can be factored as:

r(x) = A(x-2)(x-6)

where A is a constant that we need to determine.

A hole at x=1 and vertical asymptotes at x=5 and x=3

A hole in a rational function occurs when there are factors in the numerator and denominator that cancel out, leaving a "hole" in the graph. In this case, we are given that there is a hole at x=1, which means that there must be a common factor of (x-1) in both the numerator and denominator. So, we can write:

r(x) = A(x-2)(x-6) / (B(x-1)(x-3)(x-5))

where B is another constant that we need to determine.

We are also given that there are vertical asymptotes at x=5 and x=3, which means that the denominator must have factors of (x-5) and (x-3) that do not cancel out with any factors in the numerator. So, we can write:

r(x) = A(x-2)(x-6) / (B(x-1)(x-3)(x-5)) = [A(x-2)(x-6)] / [(B(x-1))(x-3)(x-5)]

End behavior given by x → ∞ ,f(x) → 1 and x → -∞ ,f(x) → 1

The end behavior of a rational function is determined by the degree of the numerator and denominator. Since the numerator and denominator in this case have the same degree (3), we know that the end behavior is given by the ratio of the leading coefficients, which is A/B. We are told that the end behavior approaches 1 as x approaches infinity or negative infinity, so we can set A/B = 1 and solve for A in terms of B:

A/B = 1, so A = B

Putting it all together

We now have enough information to write the equation for the rational function with the given properties:

r(x) = A(x-2)(x-6) / (B(x-1)(x-3)(x-5))

Using A = B, we get:

r(x) = A(x-2)(x-6) / [A(x-1)(x-3)(x-5)]

Canceling out the common factor of (x-1) in the numerator and denominator, we get:

r(x) = (x-2)(x-6) / [(x-3)(x-5)]

which is the equation for the desired rational function.

Answer: It is similar to triangle ABC and has coordinates A′(8, −12), B′(4, −16), and C′(−20, 8)

Step-by-step explanation: Dilated triangles are never congruent, only similar (unless the dilation factor is exactly 1).

The coordinates of an image dilated about the origin are those of the pre-image multiplied by the dilation factor. For example,

 A' = 2A

 A'(8, -12) = 2×A(4, -6)

These facts are all you need to know to choose the correct answer (shown above).

Answer: 1/2

Step-by-step explanation:

I took the quiz!

The probability of picking a blue marble or a marble with an odd number is 7/9.

We can use set theory to calculate the probability of picking a blue marble or a marble with an odd number. Let B be the set of blue marbles and O be the set of marbles with odd numbers. Then, we need to calculate the probability of the union of B and O.

P(B or O) = P(B U O) = P(B) + P(O) - P(B and O)

We know that P(B) = 4/9 and P(O) = 5/9. To calculate P(B and O), we need to count the number of marbles that satisfy both conditions, i.e., they are blue and have an odd number. There are two such marbles: B1 and B3.

Therefore, P(B and O) = 2/9, and the probability of picking a blue marble or a marble with an odd number is:

P(B or O) = P(B U O) = P(B) + P(O) - P(B and O) = 4/9 + 5/9 - 2/9 = 7/9

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Answer:

interquartile range = 6

Step-by-step explanation:

the interquartile range is the difference between the upper quartile Q₃ and the lower quartile Q₁

Q₃ is the value at the right side of the box, that is 86

Q₁ is the value at the left side of the box, that is 80

interquartile range = Q₃ - Q₁ = 86 - 80 = 6

Answer:

Step-by-step explanation:

We need to find a number which increased by 3.5 of itself equals 621.

Let that number be x.

x increased by 3.5 of itself equals 621 implies x+ 3.5x = 621.

x(1+3.5) = 621

x(4.5) = 621

x = 621/4.5

x = 138

Therefore the required number is 138.

Answer: 138

Step-by-step explanation:

We need to find a number which increased by 3.5 of itself equals 621.

Let that number be x.

x increased by 3.5 of itself equals 621 implies x+ 3.5x = 621.

x(1+3.5) = 621

x(4.5) = 621

x = 621/4.5

x = 138

Therefore the required number is 138.

Answer:

33 thats with the 1 dollar subtracted for the entry fee

Step-by-step explanation:

first you add all the number of marbles you have then you get 41 then divide it by 12 because you have 2 gold and 10 silver and you get 3.4 and multiply that by 10 because its 6 and 4 and you get 34 subtract the entry fee

Check the picture below.

so we can just look at it as the LCD and 4 and 5 is 20, so they'll have a simultaneous sale every 20 days or every LCD time.

The answer to the question is   O 216 square units

Answer:

False.

To determine if the sequence 2, 8, 18, 32, ... can be represented by the explicit function f(x) = 2x^2, we can test whether this formula generates the terms of the sequence.

When x = 1, we have f(1) = 2(1)^2 = 2, which is the first term of the sequence.

When x = 2, we have f(2) = 2(2)^2 = 8, which is the second term of the sequence.

However, when x = 3, we have f(3) = 2(3)^2 = 18, which is the third term of the sequence. But the fourth term of the sequence is 32, which is not generated by the formula f(x) = 2x^2 when x = 4.

Therefore, the sequences 2, 8, 18, 32, ... cannot be represented by the explicit function f(x) = 2x^2.

We can show by the uniqueness theorem that the linear transformation, Y = aX + b, is also a normal random variable because the resultant probaility density fnction of Y equals: f(y) = (1/√(2πa^2σX^2)) * exp(-(y-aμX-b)^2/(2a^2σX^2)).

To show that the linear transformation, Y = aX + b is a normal random variable, we need to demonstrate that it satisfies the properties of a normal distribution. This means that it should have a bell-shaped probability density function, mean, and variance.

We can prove that it meets the mean condition this way:

E(Y) = E(aX + b) = aE(X) + b = aμX + b

Next, we can prove that it meets the variance condition thus:

Var(Y) = Var(aX + b) = a^2Var(X) = a^2σX^2

Lastly, the probability density function is given as f(y) = (1/√(2πa^2σX^2)) * exp(-(y-aμX-b)^2/(2a^2σX^2)). This proves that the conditions for a normal random variable is met.

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Answer: 8,336

Step-by-step explanation:

So 1 meter is equal to 100 centimeters. All you have to do is multiply 83.36 by 100.

83.36 * 100 = 8,336

Hope this helps!!! :)

Okay, here are the step-by-step solutions:

(a) To find the total interest earned:

* Lisa opened the account with $600.

* The interest rate is 4% annually.

* The account earns simple interest for 5 years.

So:

Interest rate = 4%

Principal amount = $600

Time = 5 years

Interest = (Interest rate) x (Principal amount) x (Time)

= (0.04) x ($600) x (5 years)

= $200

Therefore, the total interest earned is $200

(b) To find the total amount in the account (principal + interest):

Principal amount = $600

Interest earned = $200

Total amount = Principal amount + Interest earned

= $600 + $200

= $800

So the total amount in the account including interest is $800

Does this make sense? Let me know if you have any other questions!

Answer: To find the temperature reading separating the bottom 82% from the top 18%, we need to find the z-score that corresponds to the 82nd percentile, and then use it to find the temperature value. We can use GeoGebra to find the z-score and the corresponding temperature value as follows:

Click on the "Functions" icon and select "InvNorm" function.

Enter the percentile value, which is 0.82 for the 82nd percentile.

Enter the mean and standard deviation values, which are 0 and 1 for this problem.

Click on the "Evaluate" button to find the z-score.

The resulting z-score is 0.934, rounded to 3 decimal places.

This means that the temperature reading separating the bottom 82% from the top 18% is 0 + (0.934)(1.00) = 0.934°C above freezing.

Rounded to the nearest 1000th, this value is 0.934°C.

Therefore, P32, the temperature reading separating the bottom 82% from the top 18%, is approximately 0.934°C.

Step-by-step explanation:

None of the given options A, B, C, or D is correct as they all provide different answers.

what is algebra?

Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas.

The question asks for the equivalent of 6 × 2. This means that we need to find a number that is equal to the result of multiplying 6 and 2 together.

When we multiply 6 and 2, we get:

6 × 2 = 12

So, the equivalent of 6 × 2 is 12.

However, none of the answer options provided matches this answer.

Option A suggests that the equivalent of 6 × 2 is 2 × 1, which is equal to 2, not 12.

Option B suggests that the equivalent of 6 × 2 is 3 × 2, which is equal to 6, not 12.

Option C suggests that the equivalent of 6 × 2 is 9 × 3, which is equal to 27, not 12.

Option D suggests that the equivalent of 6 × 2 is 18 × 1/2, which is equal to 9, not 12.

Therefore, none of the options provided is correct.

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April bought 16 kilograms of soil in total.

We need to add the amounts of soil she used for her violets and tulips. Since April used kilograms for violets and tulips, we need to convert the 3,000 grams to kilograms before we can add them up.

April bought:

9 kilograms of soil for violets

4 kilograms of soil for tulips

3 kilograms of soil for daisies (since 3,000 grams is 3 kilograms)

Therefore, April bought 16 kilograms of soil in total.

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