Figure ABC is reflected about the x-axis to obtain figure A′B′C′: Triangle ABC is located on the coordinate plane with vertex A at negative 5 comma 4, vertex B at negative 2 comma 4, and vertex C at negative 4 comma 1. Triangle A prime B prime C prime is located with vertex A prime at negative 5 comma negative 4, vertex B prime at negative 2 comma negative 4, and vertex C prime at negative 4 comma negative 1. Which statement best describes the relationship between the two figures? (4 points) Group of answer choices Figure ABC is bigger than figure A′B′C′. The measure of angle A is equal to the measure of angle B′. The measure of angle C is equal to the measure of angle B′. Figure ABC is congruent to figure A′B′C′.

Answer:

S = 3 * 9 = 27

Step-by-step explanation:

S = 3 * 9

S = 27

Step-by-step explanation:

S=3×9=3×3×3=3³=27is youranswer

To improve the fairness of a passenger survey on a railway line, it would be ideal to over-sample data from groups that are less likely to be represented in the regular ridership during peak hours of 7:00 am to 5:00 pm. One such group could be passengers who use the railway line during off-peak hours, such as early mornings or late evenings.

Over-sampling these groups will provide a more comprehensive picture of the ridership patterns and preferences of all passengers, rather than just those who use the railway line during peak hours. This approach will lead to a more accurate assessment of the passenger experience and needs and, therefore, allow for better decision-making when it comes to improving services and amenities.

Other groups that could be over-sampled include passengers with disabilities, seniors, and students who may have different transportation needs and experiences compared to the general ridership. By considering the unique experiences and needs of all passengers, railway companies can work towards creating a more inclusive and accessible transportation system.

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Answer:

The factors of the number 18 are: 1, 2, 3, 6, 9, 18. If you add them up, you will get the total of 39.

The value of x is 42.

To determine the value of x, we need to analyze the given information regarding the scale factor between Figure A and Figure B.

The scale factor is expressed as the ratio of the corresponding side lengths or dimensions of the two figures.

Let's assume that the length of a side in Figure B is represented by 'x'. According to the given information, Figure A is a scale copy of Figure B with a scale factor of 2/7. This means that the corresponding side length in Figure A is 2/7 times the length of the corresponding side in Figure B.

Applying this scale factor to the length of side x in Figure B, we can express the length of the corresponding side in Figure A as (2/7)x.

Given that the length of side x in Figure B is 12, we can substitute it into the equation:

(2/7)x = 12

To solve for x, we can multiply both sides of the equation by 7/2:

x = (12 * 7) / 2

Simplifying the expression:

x = 84 / 2

x = 42

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The relation R is transitive, as demonstrated through the matrix method where every pair (x, y) and (y, z) in R implies the presence of (x, z) in R, based on the matrix representation.

To demonstrate this using the matrix method, we construct the matrix representation of the relation R. Let's denote the elements of the set {a, b, c, d} as rows and columns. If an element exists in the relation, we place a 1 in the corresponding cell; otherwise, we put a 0.

The matrix representation of relation R is as follows:

\(\left[\begin{array}{cccc}1&1&1&1\\1&1&1&1\\0&0&1&0\\1&1&1&1\end{array}\right]\)

To check transitivity, we square the matrix R. The resulting matrix, R^2, represents the composition of R with itself.

\(\left[\begin{array}{cccc}4&4&3&4\\4&4&3&4\\2&2&1&2\\4&4&3&4\end{array}\right]\)

We observe that every entry \(R^2\) that corresponds to a non-zero entry in R is also non-zero. This verifies that for every (a, b) and (b, c) in R, the pair (a, c) is also present in R. Hence, the relation R is transitive.

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The interquartile range is a useful tool for measuring variability in a set of data because it overcomes the difficulty of the range being influenced too much by extreme values

The interquartile range is a measure of variability that is commonly used in statistics to describe the spread of a set of data. It is particularly useful because it overcomes the difficulty of the range being influenced too much by extreme values.

In mathematical terms, the interquartile range is defined as the difference between the upper quartile (Q3) and the lower quartile (Q1).

The upper quartile represents the 75th percentile of the data and the lower quartile represents the 25th percentile of the data.

This means that 25% of the data falls below the lower quartile and 75% of the data falls above the upper quartile.

The interquartile range provides a better representation of the spread of the data because it eliminates the influence of extreme values.

These values, also known as outliers, can have a significant impact on the range and can make it appear as though the data is more spread out than it actually is.

By using the interquartile range, the outliers are excluded and a more accurate representation of the spread of the data is obtained.

Therefore, option (a) is correct.

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The equation cos(x - y) = cos(x) - cos(y) is not an identity.

To show that the equation cos(x - y) = cos(x) - cos(y) is not an identity, we need to find a value for x and a value for y such that the left and right sides of the equation are defined but not equal.

Let x = π/2 and y = 0. Then, we have:

cos(x - y) = cos(π/2 - 0) = cos(π/2) = 0

cos(x) - cos(y) = cos(π/2) - cos(0) = 0 - 1 = -1

Since 0 and -1 are not equal, we have found a value for x and a value for y such that the left and right sides of the equation are not equal. Therefore, the equation cos(x - y) = cos(x) - cos(y) is not an identity.

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The value of ST is 3

The given parameters are:

RT = 8

RS = 5

To calculate ST, we make use of the following straight line theorem

RT = RS + ST

This gives

8 = 5 + ST

Subtract 5 from both sides

ST = 3

Hence, the value of ST is 3

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The Solution.

The correct answer is 2 right angles.

Answer:

5 hours

Step-by-step explanation:

Given

\(y = 420 + 72x\) --- Revenue

\(y = 24x^2 + 180\) --- Overhead cost

Required

Determine the hours for break even

To do this, we simply equate both expressions as follows:

\(24x^2 + 180 = 420 + 72x\)

Collect Like Terms

\(24x^2 - 72x + 180 - 420 = 0\)

\(24x^2 - 72x -240 = 0\)

Divide through 24

\(x^2 - 3x - 10 = 0\)

Expand:

\(x^2 -5x + 2x -10 = 0\)

Factorize:

\(x(x -5) + 2(x -5) = 0\)

\((x + 2)(x -5) = 0\)

\(x + 2 = 0\ or\ x - 5 = 0\)

\(x = -2\ or\ x = 5\)

But x can't be negative because it represents time.

So, x = 5 hours

Answer: A

Step-by-step explanation:

Answer:

Step-by-step explanation:

(-1,-9)

The exact y-coordinate of the center of mass of the system is 9/10.

To find the y-coordinate of the center of mass of the system, we can use the formula:

y_cm = (m1y1 + m2y2 + m3y3 + m4y4) / (m1 + m2 + m3 + m4)

where m1, m2, m3, and m4 are the masses and y1, y2, y3, and y4 are the corresponding y-coordinates of the points P1, P2, P3, and P4.

Substituting the given values, we get:

y_cm = (31 + 25 + 14 + 4(-2)) / (3 + 2 + 1 + 4)

y_cm = (3 + 10 + 4 - 8) / 10

y_cm = 9/10

Therefore, the exact y-coordinate of the center of mass of the system is 9/10.

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Answer:

6×16

Step-by-step explanation:

6×16 the answer is 42 I believe

Janae will have $ 95 in her account after 10 days.

A sequence of numbers that has a fixed common difference between any two consecutive numbers is called an arithmetic progression (A.P.)

Given,

Amount in Janae's account = $ 50

Amount she wishes to save for 10 days = $ 5

This scenario models an arithmetic progression(A.P)

In an A.P,

a _n = a + (n-1)d

where a _n = nth term, a is the first term, n is the no. of terms and d is the common difference.

In this question, a = 50, n = 10, d = 5 and we have to find out a _n

Therefore, a _n = 50 + (10-1)x5

                         = 50 + 45 = 95

Answer:- Janae will have $ 95 in her account after 10 days.

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75 percent

percent increase =[(21-12)/12]×100 °/•

= (9×100)/12

=75°/•

Answer:

30

Step-by-step explanation:

Answer:

Shreya gave 30 pieces of gum away.

Step-by-step explanation:

Equation: 65-?=35

Switch it up: 65-35=30

Solved Equation*65-30=35*

The probability P(X ≤ 27) is approximately 0.0228 or 2.28%.

To find the probability P(X ≤ 27), where X is a normally distributed random variable with mean 30 and standard deviation 1.5, we can use the standard normal distribution.

The standard normal distribution has a mean of 0 and a standard deviation of 1. To calculate the probability P(X ≤ 27) using the standard normal distribution, we need to convert the value 27 into a z-score.

The z-score formula is given by:

z = (X - μ) / σ

Where X is the value we want to convert, μ is the mean, and σ is the standard deviation.

In this case, X = 27, μ = 30, and σ = 1.5.

Calculating the z-score:

z = (27 - 30) / 1.5

z = -3 / 1.5

z = -2

Once we have the z-score, we can use a standard normal distribution table or a calculator to find the corresponding probability.

Using a standard normal distribution table, the probability of P(Z ≤ -2) is approximately 0.0228.

Therefore, the probability P(X ≤ 27) is approximately 0.0228 or 2.28%.

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Answer:

288.99 dollars.

Step-by-step explanation:

first you will find 15% of 399 then subtract 339 with the 15%(50)=288.99$

The product of the expression 5x(x²) is 5x³.

1. Write down the given expression: 5x(x²)
2. Apply the distributive property, which states that a(b + c) = ab + ac. In this case, we have a single term inside the parentheses, so the expression becomes: 5x * x²
3. Multiply the coefficients (numbers) together: 5 * 1 = 5
4. Multiply the variables together, which means adding the exponents since they have the same base (x): x¹* x² = x⁽¹⁺²⁾ = x³
5. Combine the result from steps 3 and 4: 5x³

The product of the expression 5x(x²) can be found by multiplying the coefficients (numbers) and adding the exponents of the variables (letters). In this case, we have 5 times x times x squared.

5 times x equals 5x, and x squared means x times x, so we can rewrite the expression as:

5x(x²) = 5x(x*x) = 5x³

So, the product of the expression 5x(x²) is 5x³.

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Answer:

  A.  (f-g)(x) = -7x -3

Step-by-step explanation:

(f -g)(x) = f(x) -g(x) = (-3x -5) -(4x -2)

  = -3x -5 -4x +2

  = -3x -4x -5 +2

  (f -g)(x) = -7x -3

Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently.

Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently, it is recommended to consider creating a new dependent entity to represent the values. This can help to simplify the design and make it easier to manage and maintain. The new entity can be linked to the original entity through a relationship, allowing each value to be processed independently while still maintaining the integrity of the data. Overall, this approach can improve the efficiency and effectiveness of the system, making it easier to work with and providing better results for the end user.

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Answer:

11.7

Step-by-step explanation:

a = 1/2bh

93.6 = 1/2(16)h

93.6 = 8h  Divide both sides by 8

11.7 = h

Answer:

\(c= 11.7 \text{ mi}\)

Step-by-step explanation:

To solve for c, we can construct an equation using the triangle area formula.

\(\text{area} = \dfrac{1}{2} \times \text{base} \times \text{height}\)

↓ plugging in the given measurements

\(\text{base} = 16 \text{ mi}\)     \(\text{area} = 93.6 \text{ mi}^2\)

\(93.6 \text{ mi}^2 = \dfrac{1}{2} \times 16 \text{ mi} \times \text{height}\)

↓ replacing height with c

\(93.6 \text{ mi}^2 = \dfrac{1}{2} \times 16 \text{ mi} \times c\)

↓ executing multiplication

\(93.6 \text{ mi}^2 = 8 \text{ mi} \times c\)

↓ dividing both sides by 8 mi

\(\dfrac{93.6 \text{ mi}^2}{8 \text{ mi}} = \dfrac{8\text{ mi} \times c}{8 \text{ mi}}\)

\(11.7 \text{ mi} = c\)

Answer:

\(\frac{5}{24}\)

Step-by-step explanation:

\(\frac{5x^3}{6}\) × \(\frac{1}{4x^3}\) ( cancel x³ on numerator/ denominator )

= \(\frac{5}{6}\) × \(\frac{1}{4}\)

= \(\frac{5(1)}{6(4)}\)

= \(\frac{5}{24}\)

Answer:transversive property

Step-by-step explanation:

The order of values in ascending order will be -4<-2<2<2.64<4<16 as the definition of ascending order says, "When numbers are arranged in ascending order, they are done so from smallest to largest".

When numbers are arranged in ascending order, they are done so from smallest to largest. Climbing down the stairs of numbers starting with their highest value is another way to think of descending. The slide is descended while moving down it. Ascending order, in which the numbers are arranged from lower value to higher value, is the opposite of descending order. A number can be arranged in ascending order by going from smallest to largest from left to right.

Here,

4²=16

-√4=-2

√4²=4

-2√4=-4

6-4=2

√7=2.64

-4<-2<2<2.64<4<16

According to the definition of ascending order, "When numbers are arranged in ascending order, they are done so from smallest to largest," the order of values in ascending order will be -4<-2<2<2.64<4<16.

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Answer:

180-25 is the anwser

Step-by-step explanation:

Option (c) \(0.\)

Step-by-step explanation:

Put x = -1 Then,

\(g( - 1) = {( - 1)}^{3} + 3 {( - 1)}^{2} + 3( - 1) + 1\)

\(g( - 1) = - 1 + 3 - 3 + 1\)

Here, -1 , +1 gets cancelled and +3 , -3 gets cancelled. Hence,

\(g( - 1) = 0.\)

Answer:

g-1 =0

Step-by-step explanation:

x+1 is factor then f(−1)=0

Replace x in p(x) by −1 we get

f(x)=x

3

+3x

2

+3x+1

or,f(−1)=(−1)

3

+3(−1)

2

+3(−1)+1

or,f(−1)=−1+3−3+1

or,f(−1)=0