Help appreciated!!!

Consider a dilation of polygon ABCDEF from center O with scale factor r resulting in its image, polygon A'B'C'D'E'F'.

If EDC measures 117° then the measure of E'D'C' is___ If AB measures 1.8 inches and A'B' measures 4.5 inches, then the scale factor r is____

Name one segment from polygon ABCDEF and one segment from polygon A'B'C'D'E'F' that are parallel.​

The two towns are distance 60 miles apart in the real world if they are 3 inches apart on a map with a scale of 1 inch to 20 miles.

60 miles

1 inch = 20 miles

3 inches = 20 miles x 3 = 60 miles

The scale of a map is a way of expressing the relationship between the distances on the map and the actual distances in the world. If the scale on a map is 1 inch to 20 miles then it means that 1 inch on the map represents 20 miles in the real world. If two towns are 3 inches apart on the map, then this means that the actual distance between them is 3 times the scale, or 3 x 20 miles = 60 miles.

The two towns are 60 miles apart in the real world if they are 3 inches apart on a map with a scale of 1 inch to 20 miles.

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(a) P(z < -0.83) = 0.7967

(b) P(z > 1.07) = 0.1423

(c) If P(z > a) = 0.2033, then a = 0.84

To find the probabilities using the ∠-table (cumulative probabilities under the standard normal distribution), follow these steps:

(a) P(z < -0.83):

Look up the value -0.8 in the leftmost column of the table and the value 0.03 in the top row. The corresponding value in the table is 0.2033. Since the table provides values for positive z-scores, we can use the symmetry property of the standard normal distribution to find the desired probability:

P(z < -0.83) = 1 - P(z < 0.83) = 1 - 0.2033 = 0.7967

(b) P(z > 1.07):

Look up the value 1.0 in the leftmost column of the table and the value 0.07 in the top row. The corresponding value in the table is 0.8577. Since the table provides values for positive z-scores, we need to find the complement of the desired probability:

P(z > 1.07) = 1 - P(z < 1.07) = 1 - 0.8577 = 0.1423

(c) If P(z > a) = 0.2033, find the value of a:

Using the table, we find that the closest value to 0.2033 in the table is 0.20, which corresponds to a z-score of -0.84. Since we are interested in the upper tail, the desired value of a is the negative of the z-score:

a = -(-0.84) = 0.84

Therefore, the answers are:

(a) P(z < -0.83) = 0.7967

(b) P(z > 1.07) = 0.1423

(c) If P(z > a) = 0.2033, then a = 0.84

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The solution of the DTDS is xn = (0.63)^n * 41 grams, where n represents time in hours.

a) The updating function f(x) for the discrete time dynamical system (DTDS) can be derived from the given information that the body eliminates 37% of the alcohol present in the body per hour.

Since 37% of the alcohol is eliminated, the amount remaining after one hour can be calculated by subtracting 37% of the current amount from the current amount. This can be expressed as:

f(x) = x - 0.37x

Simplifying the equation:

f(x) = 0.63x

b) The initial condition for the DTDS is given as Peter having 41 grams of alcohol in his body after consuming three alcoholic drinks. Therefore, the initial condition is:

x0 = 41 grams

c) To find the solution of the DTDS with the given initial condition, we can use the updating function f(x) and iterate it over time.

For n hours, the solution is given by:

xn = f^n(x0)

Applying the updating function f(x) repeatedly for n times:

xn = f(f(f(...f(x0))))

In this case, since the function f(x) is f(x) = 0.63x, the solution can be written as:

xn = (0.63)^n * x0

Substituting the initial condition x0 = 41 grams, the solution becomes:

xn = (0.63)^n * 41 grams

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Answer:

45% of students prefer vanilla ice cream.

Step-by-step explanation:

549 + 671 = 1220 total students

549 / 1220 = 0.45 or 45%

Answer:

81.82 or 122.22 one of them sorry I'm not very specific :0

Step-by-step explanation:

Expressing or writing 7+21 as a product of two factors requires the application of Distributive Property

The expression that shows 7+21 written as a product of two factors is

7(1 + 3).

       a (b + c) = ab + ac

Where

a is the common factor

We are given the expression:

7 + 21

Splitting this into two factors using the distributive property

7 + 21

The common factor for 7 and 21 is 7

Hence, by factorising we have:

7 + 21 = 7(1 + 3)

Therefore, the expression that shows 7+21 written as a product of two factors is :

7(1 + 3)

The correct option is D

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Answer: x= -4

Step-by-step explanation: slope = (y2-y1)/(x2-x1).

(4-7)/(-7-x)

-3/-7-x=1

Multiply both sides by -7-x

-3=-7-x

Add 7 to both sides

4=-x so x = -4

The function f(x) = 4x/(x-16) has vertical asymptotes at x = 16.

To see this, we can factor the denominator:

f(x) = 4x/(x-16) = 4x/x - 16

As x approaches 16 from the left or right, the denominator x-16 approaches 0, but the numerator 4x does not. This means that the function approaches infinity or negative infinity as x approaches 16, indicating a vertical asymptote at x = 16.

To find the end behavior of the function, we can look at the behavior of the function as x approaches positive or negative infinity. We can see that f(x) = 4x/(x-16)

As x increases without bound, x-16 increases without bound. This means that the denominator becomes larger and larger, making the function approach 0 as x approaches positive infinity.

As x decreases without bound, x-16 decreases without bound as well, this means that the denominator becomes smaller and smaller, making the function approach 0 as x approaches negative infinity.

Therefore, the function has a vertical asymptote at x = 16 and approaches 0 as x approaches positive and negative infinity.

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Answer:

f(x) =. 4x/(x-16)

4x= 0 =>x=

x-16= 0

=>x=16

Asymptotes(x) =16

Step-by-step explanation:

To compare fractions with like numerators always compare denominators.

We can calculate the LCM of the numerators and then multiply the numerators by the corresponding values to make the numerators of two or more fractions the same or similar. If the numerators are similar or the same, comparisons become simple. Verify the denominators of fractions with comparable or identical numerators. The fraction decreases as the denominator increases. They are referred to as having like or the same numerators when two or more fractions have the same numerators but distinct denominators. While they are referred to as having like or the same denominators when the denominators of two or more fractions are the same.

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To maximize the enclosed area of two adjacent rectangular corrals with 800 feet of fencing, the dimensions should be 400 feet parallel to the shared side and 133.33 feet perpendicular to the shared side.

I'm glad you reached out for help with this question. To find the dimensions that will result in the maximum enclosed area for two adjacent rectangular corrals using 800 feet of fencing, we can follow these steps:
Let x be the length of the fence parallel to the shared side of the rectangles, and y be the length of the fence perpendicular to the shared side.

The total fencing used will be x + 3y = 800, since there are three y-lengths and one shared x-length.
We can rearrange the equation to solve for x: x = 800 - 3y.
The area of both rectangles combined is A = xy.

We want to maximize this area.

Substitute the equation for x into the area equation: A = (800 - 3y)y = 800y - 3y^2.
To find the maximum area, take the derivative of A with respect to y: dA/dy = 800 - 6y.
Set dA/dy to zero and solve for y: 0 = 800 - 6y => y = 800/6 = 133.33.
Find the value of x using the equation x = 800 - 3y: x = 800 - 3(133.33) = 400.
The dimensions of the corrals should be x = 400 feet and y = 133.33 feet for the maximum enclosed area.
In summary, to maximize the enclosed area of two adjacent rectangular corrals with 800 feet of fencing, the dimensions should be 400 feet parallel to the shared side and 133.33 feet perpendicular to the shared side.

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Answer:

No Solution.

Step-by-step explanation:

-(x-7)-x=-8(6+x)+6x

-x+7-x=-48-8x+6x

-x-x+7=-48-2x

-2x+7=-48-2x

-2x-(-2x)+7=-48

-2x+2x+7=-48

7=-48

no solution

If Morgan read 1 book in 2 months. then Morgan can read 1/2 book in one month.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that,

Morgan read 1 book in 2 months.

We need to find how many books can morgan read with a constant rate in one month.

To find this let us formulate an equation.

Let us consider x as books read by morgan in one month.

1/2=x/1

Apply Cross multiplication

1=2x

Divide both sides by 2.

1/2=x

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Answer:

Answer: 11

Step-by-step explanation:

Given

Jim's mom distributed  a bag of 440 Jelly beans evenly in to 20 Plastic bags

i.e.each bag has \(\frac{440}{20}=22\)  Jelly.

After the hunt, Jim has 242 Jelly. This much Jelly constitutes

\(\Rightarrow \dfrac{242}{22}=11\ \text{bags}\)

Therefore, Jim has 11 bags of Jellys

Answer:

Poorly formated. Please fix the question so it is more understandable!

Answer:

Step-by-step explanation:

What is the measure of angle IJK?

To find the measure of angle IJK, we need to use the fact that the sum of the angles in a triangle is 180 degrees. We can start by finding the measure of angle KJH, which is 180 - 84 - 50 = 46 degrees.

Next, we can use the fact that angles IJH and IJK are vertical angles (opposite angles formed by the intersection of two lines), so they have the same measure. We know that angle IJH has a measure of 84 degrees, so angle IJK also has a measure of 84 degrees.

Therefore, the measure of angle IJK is 84 degrees.

There are 13,800 different ways to have the first, second, and third place winners without any ties.

In a rubber duck regatta with 25 people competing and each person having only one entry, we can determine the number of ways to have the first, second, and third place winners by using permutations.
Step 1: Calculate the number of options for the first place winner.

There are 25 contestants, so there are 25 options for the first place.
Step 2: Calculate the number of options for the second place winner.

Since the first place winner has been determined, there are 24 remaining contestants to choose from for the second place.
Step 3: Calculate the number of options for the third place winner.

After determining the first and second place winners, there are 23 remaining contestants to choose from for the third place.
Step 4: Multiply the number of options for each place to get the total number of possible outcomes.
25 options (first place) × 24 options (second place) × 23 options (third place) = 13,800 possible outcomes.

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cos(56) * cos(562) * cos(562^2) ... cos(56*2^23) = 1/2^24

To prove the given equation, we can use the identity of cosine function known as the product-to-sum formula:

cos(A) * cos(B) = (1/2) * [cos(A + B) + cos(A - B)]

Let's rewrite the given expression using the product-to-sum formula:

cos(56) * cos(562) * cos(562^2) ... cos(562^23)

= (1/2) * [cos(56 + 562) + cos(56 - 562)] * [cos(562^2 + 562^3) + cos(562^2 - 562^3)] * ... * [cos(562^23 + 562^24) + cos(562^23 - 56*2^24)]

We can observe that in each pair of terms, one term has a positive angle and the other has a negative angle. When we multiply these pairs together, the cosine of the negative angle will cancel out with the cosine of the positive angle.

Using this property, we can simplify the expression further:

= (1/2) * [cos(56 + 562^1) + cos(56 - 562^1)] * [cos(562^2 + 562^3) + cos(562^2 - 562^3)] * ... * [cos(562^23 + 562^24) + cos(562^23 - 562^24)]

= (1/2) * [cos(562^1) + cos(562^1)] * [cos(562^3) + cos(562^3)] * ... * [cos(562^23) + cos(562^23)]

= (1/2) * [2cos(562^1)] * [2cos(562^3)] * ... * [2cos(562^23)]

= (1/2) * 2^23 * cos(562^23)

= (1/2^24) * cos(56*2^23)

Finally, since cos(56*2^23) is a constant value, we can say:

cos(56) * cos(562) * cos(562^2) ... cos(56*2^23) = 1/2^24

By applying the product-to-sum formula and simplifying the expression, we have shown that the product of the cosine values of the given sequence equals 1/2^24.

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The answer is briefly discussed

a. The condition that is normally distributed satisfied when a population standard deviation is known is YES.

b. The margin of error at the 95% confidence level can be computed using the formula:

Margin of Error (E) = Z * (σ/√n)

where Z is the z-score of the level of confidence, σ is the population standard deviation, and n is the sample size.

The z-score for a 95% confidence level can be found using the z-table or calculator and is approximately 1.96. Hence, Margin of Error (E) = 1.96 * (26.8/√64) = 9.94 ≈ 9.95.

The margin of error at the 95% confidence level is approximately 9.95 when the sample size is 64 observations.

c. The margin of error at the 95% confidence level based on a larger sample of 225 observations can be computed using the same formula:

Margin of Error (E) = Z * (σ/√n)The z-score for a 95% confidence level remains the same at approximately 1.96. Hence, Margin of Error (E) = 1.96 * (26.8/√225) = 3.16 ≈ 3.17.

The margin of error at the 95% confidence level is approximately 3.17 when the sample size is 225 observations.

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Answer:

The x-intercept indicates that he has 29 ten dollar bills

and no five dollar bills. The y-intercept indicates that he has 58 five

dollar bills and no ten dollar bills.

Step-by-step explanation:

The test statistic symbol for testing a hypothesis about a population mean is "t."

The symbol that represents a test statistic used to test a hypothesis about a population mean is typically denoted as "t" or "t-score."

In more detail, when conducting hypothesis tests for a population mean, the standard procedure involves calculating the test statistic, which measures the difference between the sample mean and the hypothesized population mean in terms of standard error.

The test statistic follows a t-distribution when certain assumptions are met, such as the sample being drawn from a normally distributed population or having a sufficiently large sample size. The t-test allows us to compare the observed sample mean to the hypothesized population mean and determine if there is sufficient evidence to support or reject the null hypothesis.

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Answer:

THIRD OPTION - Domain: (0, infinity)

Range: (-infinity, + infinity)

Step-by-step explanation:

The graph is an asymptote, therefore the domain must start at 0 and end at infinity. The range is all real numbers because eventually it will reach all y values.

3 x 3 is the prime factorization of 9.

What is a Prime factor?

A natural number other than 1 in which the only factors are 1 and on its own is referred to as having a prime factor.

In fact, the first five prime numbers are 2, 3, 5, 7, 11, and so forth.

How is the prime factor determined?

To use the division method to determine a number's prime factors, follow the following steps:

Step 1 : Divide the specified integer by the smallest prime number as the

Step 2 : Divide the quotient yet again by the smallest prime number in

Step 3: Keep on in the same fashion until the quotient reaches 1.

Step 4: Multiply all the prime factors at the conclusion.

The average of the nine elements is what?

Average is the result of dividing the total by a certain number.

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The ordered Pair that describes the location of M' is (-5,-1).

Given that a point M is located at (5,-1) on the coordinate plane and it is reflected over the y-axis to create point M'.

We know that when a point is reflected over the y-axis, the x-coordinate changes its sign. Hence the x-coordinate of M will become negative.

The formula for reflecting a point over y-axis is (x,y) → (-x,y)

Therefore, the coordinates of the new point M' would be (-5,-1).

Hence, the ordered pair that describes the location of M' is (-5,-1).

So, the correct option is D) (-5, -1).

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Part A: The coefficient of the 4th degree term in the Taylor polynomial for f(x) = sin(4x) centered at x = 0 is -1/3! = -1/6.

Part B: Using a 4th degree Taylor polynomial for sin(x) centered at x = 0, we can write g(x) = sin(0.8) ≈ P4(0.8), where P4(0.8) is the 4th degree Taylor polynomial for sin(x) evaluated at x = 0.8.

Evaluating P4(0.8) using the formula for the Taylor series coefficients of sin(x), we get P4(0.8) = 0.8 - 0.008 + 0.00004 - 0.0000014 ≈ 0.78333. This estimate is very close to 1 because sin(0.8) is close to 1, and the Taylor series for sin(x) converges very rapidly for values of x close to 0.

Part C: The series { (-1)n / (2n + 1) } has a partial sum S when x = 1. To find an interval |S - S5| = R5| for which the actual sum exists, we can use the alternating series test. The alternating series test states that if the terms of a series alternate in sign, decrease in absolute value, and approach zero, then the series converges.

Since the terms of the series { (-1)n / (2n + 1) } alternate in sign and decrease in absolute value, we know that the series converges. To find an interval |S - S5| = R5|, we can use the remainder formula for alternating series, which states that |Rn| ≤ a_n+1, where a_n+1 is the first neglected term in the series.

Since the terms of the series decrease in absolute value, we know that a_n+1 ≤ |a_n|. Therefore, we have |R5| ≤ |a6| = 1/7!, which means that the actual sum of the series exists in the interval S - 1/7! ≤ S5 ≤ S + 1/7!. Therefore, an interval for which the actual sum exists is [S - 1/7!, S + 1/7!].

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Answer:

How much will the handmade scarves and jewellery cost?

How much are they planning to spend on operating costs for their business every year?

Step-by-step explanation:

Answer:

909147718.527

Step-by-step explanation:

It's called a calculator