Is Figure A’B’C’D’ a reflection of Figure ABCD? Explain.

A graph showing two figures, each on one side of a diagonal line. Figure A B C D has coordinates A 2 comma 2, B 4 comma 4, C 8 comma 4, and D 10 comma 2. Figure A prime B prime C prime D prime has coordinates A prime 12 comma negative 8, B prime 14 comma negative 6, C prime 14 comma negative 2, and D prime 12 comma zero.


Yes; it is a reflection over the x-axis.



Yes; it is a reflection over the y-axis.



Yes; it is a reflection over line f.



No; it is not a reflection.

Answer:

i got 27

Step-by-step explanation:

Answer:

\($\frac{5\sqrt{2} }{2}$\)

Step-by-step explanation:

\(x: \text{opposite side of the angle of 45\º}\)

\(5: \text{hypotenuse of the right triangle}\)

\($\sin(\theta)=\frac{\text{opp}}{\text{hyp}} \Rightarrow \sin(45\º)=\frac{x}{5} $\)

\($\text{Once }\sin(45\º)=\frac{\sqrt{2} }{2} $\)

\($\frac{\sqrt{2} }{2} =\frac{x}{5} \Rightarrow 2x=5\sqrt{2} \Rightarrow x=\frac{5\sqrt{2} }{2} $\)

You can just remember that 5 is the diagonal of a square of side length x.

\($5=x\sqrt{2} \Rightarrow x=\frac{5}{\sqrt{2} } \Rightarrow x=\frac{5}{\sqrt{2} } \cdot \frac{\sqrt{2} }{\sqrt{2} } = \frac{5\sqrt{2} }{2} $\)

The spring constant k is approximately 35 N/m.

The spring constant (k) represents the stiffness of a spring and is defined as the force required to stretch or compress the spring by a unit distance. In this case, we are given that the spring is stretched by a force of 13.5 N, resulting in a displacement of 0.5 meters.

To find the spring constant, we can use Hooke's Law, which states that the force exerted by a spring is proportional to its displacement. Mathematically, this can be expressed as F = kx, where F is the force, k is the spring constant, and x is the displacement.

Using the given values, we have:

13.5 N = k * 0.5 m

Solving for k, we find:

k ≈ 35 N/m

Therefore, the spring constant for this system is approximately 35 N/m.

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The probability that exactly 10 laboratories commit errors in a re-accreditation time period is approximately 8.34 × 10^(-9).

To find the probability of exactly 10 laboratories committing errors in a re-accreditation time period, we can use the Poisson probability formula, given that laboratory errors follow a Poisson distribution with an average of 30 errors per time period.

Step 1: Identify the parameters
The Poisson distribution has one parameter, λ (lambda), which represents the average number of events (in this case, laboratory errors) in a given time period. Here, λ = 30.

Step 2: Apply the Poisson formula
The probability of observing k events in a Poisson distribution is given by the formula:

P(k) = (e^(-λ) * λ^k) / k!

Where e is the base of the natural logarithm (approximately 2.718), λ is the average number of events, k is the number of events we are interested in, and k! represents the factorial of k.

Step 3: Calculate the probability

We want to find the probability of exactly 10 laboratories committing errors (k = 10). Plug in the values into the formula:

P(10) = (e^(-30) * 30^10) / 10!

P(10) ≈ (2.718^(-30) * 30^10) / 3,628,800

Using a calculator, we find that the probability is approximately 8.34 × 10^(-9).

So, the probability that exactly 10 laboratories commit errors in a re-accreditation time period is approximately 8.34 × 10^(-9).

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Answer:

how do we find this out

Step-by-step explanation:

If a storage facility charges $1 per cubic yard and the storage space is 32 ft. The storage charge is $1999.97.

What is mathematical conversions?

Mathematical conversions refer to the process of changing one unit of measurement to another unit of measurement that is equivalent in value.

First, we need to convert the dimensions from feet to yards, since the rate is given per cubic yard.

32 feet = 10.6667 yards (dividing by 3)

160 feet = 53.3333 yards (dividing by 3)

10 feet = 3.3333 yards (dividing by 3)

Next, we can calculate the volume of the storage space in cubic yards by multiplying the three dimensions:

Volume = 10.6667 yards x 53.3333 yards x 3.3333 yards

Volume = 1999.97 cubic yards (rounded to two decimal places)

Finally, we can calculate the storage charge by multiplying the volume by the rate:

Charge = 1999.97 cubic yards x $1/cubic yard

Charge = $1999.97

Therefore, the storage charge is $1999.97.

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The solution:

Given the point A = (7,5)

We are required to find the coordinate of point B, where point B is the reflection of point A over the x-axis.

Note:

When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is taken to be the additive inverse. That is,

So, in this case,

Therefore, the correct answer is B(7,-5)

Answer:c

Step-by-step explanation:

Answer:

C) A- 35% B- 45% C- 20%

Step-by-step explanation:

edge 2023

After solving, E(X² + 3) is 11.2 write up to first decimal place.

We must compute the expected value of the random variable X² + 3 based on the above distribution in order to determine E(X² + 3).

Let's first determine what each number of x will equal for X² + 3:

For x = 1: (1² + 3) = 4

For x = 2: (2² + 3) = 7

For x = 2: (2² + 3) = 7

For x = 4: (4² + 3) = 19

We next multiply each value by the associated probability, f(x):

For x = 1: (0.2 × 4) = 0.8

For x = 2: (0.3 × 7) = 2.1

For x = 2: (0.1 × 7) = 0.7

For x = 4: (0.4 × 19) = 7.6

In order to obtain the anticipated value, we finally add these values:

E(X² + 3) = 0.8 + 2.1 + 0.7 + 7.6 = 11.2

E(X² + 3) is therefore equal to 11.2 (rounded to the next decimal point).

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The complete question is given below:

The mean of a random variable X is a measure of its average value or expected value. In this exercise, we are given the probabilities associated with each possible value of X. To find the mean of X, we need to multiply each value by its corresponding probability and sum them up.

To calculate the mean of X, we multiply each value (1, 2, 3, 4) by its corresponding probability (p, 0.4, 0.25, 0.3) and sum them up:Mean of X = (1 * p) + (2 * 0.4) + (3 * 0.25) + (4 * 0.3)Simplifying the expression, we have:Mean of X = p + 0.8 + 0.75 + 1.2Combining the terms, we getMean of X = p + 2.75Therefore, the mean of X is given by the expression 2.75 + p. Hence, the correct answer is option b) 2.75 + p.

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The least accurate measurement among the options provided is 18050 m.Therefore, among the given options, 18050 m is the least accurate measurement due to its higher number of significant figures.

To determine the least accurate measurement, we need to consider the number of significant figures in each measurement. The measurement with the fewest significant figures indicates lower accuracy.

Among the options given:

a. 208 m has three significant figures.

b. 18050 m has five significant figures.

c. 0.08 m has two significant figures.

d. 0.750 m has three significant figures.

e. 12.0 m has three significant figures.

The measurement with the least accurate value is 18050 m because it has the highest number of significant figures among the options. A higher number of significant figures suggests a greater level of precision and accuracy in the measurement.

Significant figures represent the digits in a number that contribute to its precision. They include all the non-zero digits and any zeros that appear between non-zero digits or after a decimal point. In this case, the measurement 18050 m has five significant figures, indicating a high level of precision and accuracy.

On the other hand, measurements with fewer significant figures imply less precision and accuracy. For example, the measurement 0.08 m has only two significant figures, suggesting less certainty in the measurement compared to 18050 m.

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We need to know about z-score to solve the problem. The z-score of the soda is 0.6

A z-score tells you how many standard deviations away an individual data falls from the mean. We can calculate z-score from the standard deviation and mean of the data. In this question we know that the cost of a soda is $1.15 and the mean is $1.00 and the standard deviation is $0.25.We need to calculate the z-score of the soda with the given information.

z-score=x-μ/σ=1.15-1.00/0.25=0.15/0.25=0.6

Therefore the z-score of the soda is 0.6

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Answer:

< B = 94

Step-by-step explanation:

Remark

You should edit the question. The way you wrote it, , it looks like you have to square two binomials. That isn't the way it is given I don't think. You are told that A and B are supplementary. That means

A+B = 180

Equation

(8x + 6) + (7x + 24) = 180          Remove the brackets

Solution

8x + 6 + 7x + 24 = 180              Collect like terms

15x + 30 = 180                           Subtract 30 from both sides

15x = 180 - 30

15x = 150                                   Divide by 15

x = 150 / 15

x = 10

Answer

What you need is <B

<B = 7x + 24

<B = 7*10 + 24

<B = 70 + 24

<B = 94

There are 70 different committees possible combinations from the 8 students in the class, where no member has any specific responsibilities.

To find the number of different committees possible, we will use the concept of combinations. In this case, we have 8 students and need to choose 4 of them to form a committee. A combination is a selection of items from a larger set, such that the order of the items does not matter.

Step 1: Identify the number of items in the set (n) and the number of items to be chosen (r). Here, n = 8 and r = 4.

Step 2: Use the formula for combinations, which is C(n, r) = n! / (r!(n-r)!), where C(n, r) represents the number of combinations, n! denotes the factorial of n, and r! denotes the factorial of r.

Step 3: Calculate the factorials involved in the formula. Factorial of a number is the product of all positive integers less than or equal to that number.
- 8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40,320
- 4! = 4 × 3 × 2 × 1 = 24
- (8-4)! = 4! = 24

Step 4: Substitute the values into the formula and calculate the number of combinations.
C(8, 4) = 40,320 / (24 × 24) = 40,320 / 576 = 70

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Answer:

ok, here is your answer

Step-by-step explanation:

The answer is (d) 258.000 g and 2.58×10^-2g.Both numbers have the same number of significant figures, which is six.The first number, 258.000 g, has three significant figures after the decimal point, and three before the decimal point. The zeros after the decimal point are significant because they are part of a measured quantity.The second number, 2.58×10^-2g, is written in scientific notation. It also has six significant figures because the number 2.58 has three significant figures, and the exponent -2 has two significant figures.-

The convergence or divergence of the series  Σ \((-4)^n * n^2\) cannot be determined using the Ratio Test alone. Alternating Series Test or Comparison Test, may be needed.

To determine the convergence or divergence of the series Σ \((-4)^n * n^2\) using the Ratio Test, we need to examine the limit of the absolute value of the ratio of consecutive terms:

lim (n→∞)\(|((-4)^(n+1) * (n+1)^2) / ((-4)^n * n^2)|.\)

Simplifying this expression, we have:

lim (n→∞) |\((-4)^(n+1)\) * (n+1)² / \((-4)^n * n^2\)|.

Using the properties of exponents, we can rewrite this expression as:

lim (n→∞) |(-4) * (n+1)² / (-4) * n²|.

Canceling out the common factors, we have:

lim (n→∞) |(n+1)² / n²|.

Expanding the numerator and denominator, we get:

lim (n→∞) |(n² + 2n + 1) / n²|.

As n approaches infinity, the terms 2n and 1 become insignificant compared to n². Therefore, we can neglect them in the limit:

lim (n→∞) |n²/ n²| = lim (n→∞) 1 = 1.

Since the limit is equal to 1, the Ratio Test is inconclusive. The test does not provide definitive information about convergence or divergence.

Therefore, we cannot determine the convergence or divergence of the series Σ \((-4)^n * n^2\) using the Ratio Test alone. Additional tests, such as the Alternating Series Test or Comparison Test, may be necessary to establish convergence or divergence.

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Answer:

B

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

edge

To solve this question we will use the following diagram:

Notice that the area of the shaded region is the area of the rectangle with length 14 and width 7 minus 2 times a quarter of the area of a circle with radius 7, meaning:

Reducing the above expression we get:

Answer: The best estimation of the area of the shaded region is option A) 21.

Answer:

m=6

Step-by-step explanation:

-3m+4m=6

m=6

Answer:

m= 6

Step-by-step explanation:

-3m - 6 = -4m

-6 = -m

the "m" cannot be negative soooo

6 = m

The  probability of 6 successes in 7 independent trials with a probability of success 0.65 is 0.3052.

Using the binomial probability formula, the probability of x successes in n independent trials with a probability of success p can be calculated as:

P(x) = (n choose x) * p^x * (1-p)^(n-x)

where "n choose x" represents the number of ways to choose x items from a set of n items, and is calculated as:

(n choose x) = n! / (x! * (n-x)!)

So, for the given parameters nequals=7, pequals=0.65, xequals=6, we have:

P(6) = (7 choose 6) * 0.65^6 * (1-0.65)^(7-6)
     = 7 * 0.65^6 * 0.35^1
     = 0.3052

Therefore, the probability of 6 successes in 7 independent trials with a probability of success 0.65 is 0.3052.

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The expression of the additional tiles added to Design 2 square floor design is (8x + 15).

Let 'x' be the length of a side of the square floor design. Then, the total number of tiles required for the square floor design is given by \(x^2\)

Now, if Howard must add 5 tiles to two of the sides and 3 tiles to the other two sides, then the dimensions of the new square will be (x + 5) and (x + 3). Thus, the total number of tiles required for the new square will be: (x + 5) × (x + 3).

In order to determine the expression for the number of additional tiles added to Design 2 square floor design, we will subtract the number of tiles required for the original square floor design from the number of tiles required for the new square.

Thus, the expression for the number of additional tiles added to Design 2 square floor design is given by: \((x + 5) \times (x + 3) - x^2\)

Now, we will simplify the above expression: \(x^2 + 3x + 5x + 15 - x^2\)

So, additional tiles added to Design 2 square floor design = 8x + 15

Therefore, the expression for the number of additional tiles added to Design 2 square floor design is: (8x + 15).

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Answer:

x=67/3

Step-by-step explanation:

First, to make soliving easier, we have to convert 3 2/3 to an improper fraction which is 11/3 because 3 goes into 9 3 times but has 2 left over.

so now we have x + 11/3 = 26

You have to subtract 11/3 from both sides so the variable can be isolated. To do that, subtract 26/1 - 11/3. They have a common denominator of 3 so you end up with 78/3 - 11/3 = 67/3

so you end up with

x=67/3

In the successor set, we add a new element to the original set, which is the set itself. This is denoted by the union symbol (∪) followed by the element we are adding, {1, 2, 3}.

The resulting set is {1, 2, 3, {1, 2, 3}}, indicating that the successor set includes the original set as well as the new element.

Essentially, the successor of a set adds the set itself as a new element to the original set.

This concept is often used in mathematical set theory and has applications in various branches of mathematics and computer science.

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Answer:

====================

Triangle inequality theorem states that the sum of any two sides must be greater than the remaining side.

We see 10 + 10 = 20, so this is contradicting the mentioned theorem, therefore these lengths are not good to form a triangle.

We see 10 + 10 = 20, so this is contradicting the mentioned theorem, therefore these lengths are not good to form a triangle.

Given,

The lengths of triangle is given as:

10 , 10 and 20

To check the following three lengths form a right triangle.

Now, According to the question:

What is triangle inequality theorem ?

The triangle inequality theorem describes the relationship between the three sides of a triangle. According to this theorem, for any triangle, the sum of lengths of two sides is always greater than the third side.

So, The length of triangle are 10, 10, 20

10 + 10 = 20

We see 10 + 10 = 20, so this is contradicting the mentioned theorem, therefore these lengths are not good to form a triangle.

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9514 1404 393

Answer:

  (x -6)^2 = x^2 -12x +36

Step-by-step explanation:

The distributive property is useful for finding the products of polynomials.

  (x -6)^2 = (x -6)(x -6) = x(x -6) -6(x -6)

  = x^2 -6x -6x +36

  = x^2 -12x +36

The total amount at the lowest price is $936, the total amount at the highest price is $1224, and the amount saved is $288.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

The table is in the picture, please refer to the picture.

Tony needs to purchase 3,600 oz of vegetable oil for his catering business.

Lowest unit price = 26 cents per ounce

Total price at this rate = 3600×26 = 93600 cents = $936

The highest unit price = 34 cents per ounce

Total price at this rate = 3600×34 = 122400 cents = $1224

Total saving he purchases the container that has the lowest unit price:

= 1224 - 936

= $288

Thus, the total amount at the lowest price is $936, the total amount at the highest price is $1224, and the amount saved is $288.

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Step-by-step explanation:

y=mx+b

let (-2,1)

x,y

1 =1/2(-2)+b

1 = -1+b

1+1=b

b=2

Answer:

(-11,-4) and (-5,-7)

Step-by-step explanation:

the rule (x,y)→(x−7,y+2) means the x-value of the coordinate decreases by 7, and the y-value of the coordinate increases by two.

Apply the rule to the 1st question by plugging in the coordinates:

(x,y)→(x−7,y+2)

(−4,−6)→((-4)−7,(-6)+2)

(−4,−6)→(-11,-4)

Let's use the same process for the 2nd question:

(x,y)→(x−7,y+2)

(2,−9)→((2)−7,(-9)+2)

(2,−9)→(-5,-7)

The probability of event A or event B occurring, P(A or B), is 0.78.

To find the probability of the union of events A or B, denoted as P(A or B), we can use the formula:

P(A or B) = P(A) + P(B) - P(A and B)

Given that P(A) = 0.6, P(B) = 0.6, and P(A and B) = 0.42, we can substitute these values into the formula:

P(A or B) = 0.6 + 0.6 - 0.42

          = 1.2 - 0.42

          = 0.78

Therefore, the probability of event A or event B occurring, P(A or B), is 0.78.

To calculate P(A or B) x 5, we multiply the result by 5:

P(A or B) x 5 = 0.78 x 5 = 3.9

Therefore, P(A or B) x 5 is equal to 3.9.

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