The function h(x) is given below.
h(x) = {(3,-5), (5, -7), (6, -9), (10, -12), (12, -16)}
Which of the following gives h-¹(x)?
O {(3, 5), (5, 7), (6, 9), (10, 12), (12, 16)}
O {(-5, 3), (-7, 5), (-9, 6), (-12, 10), (-16, 12)}
O {(3,-5), (5, -7), (6, -9), (10, -12), (12, -16)}
O {(5, 3), (7, 5), (9, 6), (12, 10), (16, 12)}

Answer:

Given that ΔABC ≅ ΔFED is congruent by the SSS Congruence Theorem, the rigid transformations that map ΔABC onto ΔFED are B. reflection, then translation.

Step-by-step explanation:

ΔABC ≅ ΔFED are congruent by the SSS Congruence Theorem.

Hence, the rigid transformations that map ΔABC onto ΔFED by reflection and then translation.

Answer:Given that ABC  FED are congruent by the SSS Congruence Theorem, the rigid transformations that maps ABC onto FED are: B reflection, then translation.

Step-by-step explanation:Reflection is a from of transformation whereby a figure is flipped over a line of reflection, making both figures exactly the same shape and size after the transformation.

Translation is also another form of transformation whereby all the points of a figure are shifted at exactly the same distance and in the same direction without being resized, reflected nor rotated.

Answer:

9 times 8x9=72

Step-by-step explanation:

hope this helps

if you have anymore questions ask me

Answer:  9 laps

Step-by-step explanation:

1. Divide: 72/8 = ?

2. Solve: 72/8=9

Answer:

Three years later, the coffin was still full of Jello.

Answer:

the last one should be the answer

Answer: -1 5/8 + 3 or -13/8 + 3

Step-by-step explanation:

1/2 (3/4x + 10) - 2 (x + 1)

3/8x + 5 - 2x - 2

Combine like terms

3/8x - 2x + 5 - 2

-1 5/8 + 3

      or

-13/8 + 3

Answer:

C) 32 mpg

This is because to get his miles per gallon,

We divide 634 miles by 19.8 miles to give us 32.0202020....... rounded to 32 mpg

There are 9 cans of soup and the 4 frozen dinners that were purchased.

Let x = the number of cans of soup purchased.

Let y = the number of frozen dinners purchased.

Lincoln purchased a total of 13 cans of soup and frozen dinners. This means that

x + y = 13 ..... i

x = 13 - y

The equation will be illustrated as

250x + 550y = 4450 .... ii

Substituting x = 13 - y into equation ii, it becomes

250(13 - y) + 550y = 4450

3250 - 250y + 550y = 4450

- 250y + 550y = 4450 - 3250

300y = 1200

y = 1200/300

y = 4

4 frozen dinners

Substituting y = 4 into x = 13 - y, it becomes

x = 13 - 4 = 9

9 cans of soup.

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For your first answer 2=x+5/17 your second answer is 29. This is because "x" is the number that you need to bake which is 29. Therefore, 31/17=2

Answer:

x^2 -6x + 9

Step-by-step explanation:

(x-3) (x-3) = x^2 - 6x + 9

Answer:

x>-2

Step-by-step explanation:

-9x-15<3

•Move the constant to the right

9x<3+15

•calculate

-9x<18

•Divide both sides

A risk profile from PrecisionTree lists: A. all possible outcomes and their corresponding utility.

In Mathematics and Statistics, a decision tree is sometimes referred to as PrecisionTree and it can be defined as a tree-like model that is used by mathematicians, statisticians, and researchers as a decision support tool, in order to graphically display decisions with respect to their potential outcomes, consequences, utility, and resource costs.

This ultimately implies that, a decision tree is used for making decisions in business management by graphically displaying all the possible (expected) outcome of a decision in layers.

A risk profile can be defined as a distribution that is associated with a specific action. This ultimately implies that, a risk profile lists all the possible economic outcomes (monetary values) and provides the corresponding probability or utility of each.

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Complete Question:

A risk profile from PrecisionTree lists"

a. all possible outcomes and their corresponding utility.

b. the full probability distribution,

c. the nodes and branches for each possible outcome

d. all options and their possible outcomes

The 6th percentile of the normal distribution with mean μ = 48 and standard deviation σ = 5 is approximately 40.25.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The z-score corresponding to the 6th percentile is the value z such that the area under the standard normal curve to the left of z is 0.06.

We can then use the formula for converting a z-score to a raw score in a normal distribution:

x = μ + zσ

Substituting the values we have:

x = 48 + (-1.55)5

x = 40.25

Therefore, the 6th percentile of the normal distribution with mean μ = 48 and standard deviation σ = 5 is approximately 40.25.

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Answer:

16 cups

Step-by-step explanation:

Answer:

16 is the answer

Answer:

-28e-13

Step-by-step explanation:

Distribute -4 to 7e and 4.

-4 x 7e = -28e

-4 x 4 = -16

Next, put them together.

3-28e-16

=-28e - 13

Using the Chain Rule, dz/dt = -80t^8 cos(5t^5) - 16t^3 sin(5t^5).

To find dz/dt using the Chain Rule, we need to differentiate z = 4x cos(y) with respect to t. Given x = t^4 and y = 5t^5, we can substitute these expressions into z. Thus, z = 4(t^4)cos(5(t^5)).

Taking the derivative of z with respect to t, we apply the Chain Rule. The derivative of 4(t^4)cos(5(t^5)) with respect to t is given by 4(cos(5(t^5)))(4t^3) - 20(t^4)sin(5(t^5))(5t^4). Simplifying, we have -80t^7 cos(5t^5) + 16t^3 sin(5t^5). Therefore, dz/dt = -80t^8 cos(5t^5) - 16t^3 sin(5t^5).

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Answer:

No they will no have the same strength. So what I did was find a common number between them so between 8 and 6 they both can be multiplied to 24. So 6 goes into 24 4 times so I multiplied 3 times 6 and then 8 goes into 24 3 times so I multiplied 3 and 5 and so the final answer is that bart has more strong fertilizer

Step-by-step explanation:

6*4=24 4*3=12

8*3=24  5*3=15

The digits missing from the equation are 100, 10 and 1 respectively. The solution has been obtained by using the concept of algebraic equation.

What is algebraic equation?

If a mathematical phrase has variables, constants, and algebraic operations, it is said to be "algebraic" (addition, subtraction, etc.). The expression must contain the equals sign and satisfy the algebraic equation.

We are given an expression as

3. 58 × 100[(3 × 1) + (5 × 0. 1) + (8 × 0. 01)] × 100

On multiplying, we get

= (3 × 100) + (5 × 10) + (8 × 1)

= 358

Hence, the digits missing from the equation are 100, 10 and 1 respectively.

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The two integers whose product is 136 are 17 and 8.

Let x be one of the integers. Then, the other integer is 3x - 7. The product of the two integers is given by:

x * (3x - 7) = 136

Expanding and solving for x, we get:

x^2 - 7x + 136 = 0

Using the quadratic formula, we can find the two solutions for x:

x = (-(-7) ± √(\((-7)^2\) - 4 * 1 * 136)) / (2 * 1)

x = (7 ± √(49 + 544)) / 2

x = (7 ± √593) / 2

Since x must be an integer, we round down the decimal to the nearest integer to get:

x = 8 or x = 9

Since x represents one of the integers, the other integer is 3x - 7, so:

3x - 7 = 3 * 8 - 7 = 17

Therefore, the two integers are 8 and 17, and their product is 136.

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When comparing two numbers, there are a few different things you might be interested in: which is larger, which is smaller, or whether they are equal.

In this case, we can see that both numbers are negative, which means they are to the left of zero on the number line. In general, the further left a number is on the number line, the smaller it is. Therefore, we can say that:

-2.25 > -3

In other words, -2.25 is larger (closer to zero) than -3.

The following is true for the t test for independent means:T test for independent means is a parametric inferential test used for making comparisons between two groups' means.

The t test for independent means can only be performed if there are two different groups or conditions.The t test for independent means assumes that the data are approximately normally distributed and that the variances of the two groups are equal.The t test for independent means can be used to examine whether or not there is a significant difference between the means of the two groups.The t test for independent means' null hypothesis is that there is no significant difference between the means of the two groups. If the t statistic obtained from the test is greater than the critical value, the null hypothesis will be rejected, indicating that there is a significant difference between the means of the two groups.The t test for independent means is an excellent way to compare two groups when the data are approximately normally distributed and the variances are equal.

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Answer:

1. x=1

2. x=-1

3. No solution

4. x=2

5. x= -6

Step-by-step explanation:

Thus, the obtained area of sector for the given circle is found as 43.96 in².

Two radii that meet at the centre to form a sector define a circle. The sector is the portion of the circle created by these two radii. Knowing a circle's central angle assessment and radius measurement are both crucial for solving circle-related difficulties.

The curved portion that runs along the circle's perimeter and joins the ends of a two radii that make up a sector is known as the sector arc.

given data:

Formula for the area of sector:

area of sector = Ф /360 * (πr²)

area of sector = 140/360 * (3.14 *6²)

area of sector = 7/18 * 3.14 *36

area of sector = 43.96 in²

Thus, the obtained area of sector for the given circle is found as 43.96 in².

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The steps in evaluating each of the following expressions is shown below.

An expression is a mathematical equation which shows the relationship that exist between two or more numerical quantities or variables.

15 - 35/7 - 2 + 3 - 4

15 - (35/7) - 2 + 3 - 4 (bracket and division)

15 - 5 - 2 + 3 - 4 (regroup)

15 + 3 - 5 - 2 - 4 (subtract and add)

18 - 11 = 7.

10 + 2(9 - 5) - 16/18

10 + (2 × 4) - 8/9 (bracket and division)

10 + 8 - 8/9 (add)

18 - 8/9 (subtract)

162/9 - 8/9 = 17 1/9 or 154/9.

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Complete Question:

Show your steps in evaluating each of the following expressions. The steps count 4 points each, the answer is 1 point.

A. 15 - 35/7 -2 + 3 -4

B. 10 + 2(9 - 5) - 16/18

Based on the calculations, statements 3 and 4 could be true. The derivative could be a put with H₀ = -5 and H₁ = 0.125, or a call with H₀ = -5 and H₁ = 0.125.

To determine which statement could be true, let's analyze the possible outcomes and their corresponding values:

- Underlying value at expiration (H₁=1) is $0 when the underlying is worth $50.

- Underlying value at expiration (H₁=2) is $5 when the underlying is worth $10.

- Return on investment (R) is 1.25.

We can calculate the possible values of H₀ (underlying value at the start) using the formula:

H₀ = H₁ / R

1) Derivative is a put with H₀ = 5 and H₁ = -0.125:

H₀ = -0.125 / 1.25 = -0.1

This does not match the given values of H₀. Therefore, this statement is not true.

2) Derivative is a call with H₀ = 5 and H₁ = -0.125:

H₀ = -0.125 / 1.25 = -0.1

This does not match the given values of H₀. Therefore, this statement is not true.

3) Derivative is a put with H₀ = -5 and H₁ = 0.125:

H₀ = 0.125 / 1.25 = 0.1

This matches the given value of H₀. Therefore, this statement could be true.

4) Derivative is a call with H₀ = -5 and H₁ = 0.125:

H₀ = 0.125 / 1.25 = 0.1

This matches the given value of H₀. Therefore, this statement could be true.

Based on the calculations, statements 3 and 4 could be true. The derivative could be a put with H₀ = -5 and H₁ = 0.125, or a call with H₀ = -5 and H₁ = 0.125.

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Based on the sample data and the hypothesis test, there is sufficient evidence to support the claim that the population mean μ is greater than 29 at the significance level of 0.05.

What is the mean and standard deviation?

The standard deviation is a summary measure of the differences of each observation from the mean. If the differences themselves were added up, the positive would exactly balance the negative and so their sum would be zero. Consequently, the squares of the differences are added.

To test the claim about the population mean μ at the level of significance α, we can perform a one-sample t-test.

Given:

Claim: μ > 29 (right-tailed test)

α = 0.05

σ = 1.2 (population standard deviation)

Sample statistics: x = 29.3 (sample mean), n = 50 (sample size)

We can follow these steps to conduct the hypothesis test:

Step 1: Formulate the null and alternative hypotheses.

The null hypothesis (H₀): μ ≤ 29

The alternative hypothesis (Hₐ): μ > 29

Step 2: Determine the significance level.

The significance level α is given as 0.05. This represents the maximum probability of rejecting the null hypothesis when it is actually true.

Step 3: Calculate the test statistic.

For a one-sample t-test, the test statistic is given by:

t = (x - μ) / (σ / √(n))

In this case, x = 29.3, μ = 29, σ = 1.2, and n = 50. Plugging in the values, we get:

t = (29.3 - 29) / (1.2 / √(50))

= 0.3 / (1.2 / 7.07)

= 0.3 / 0.17

≈ 1.76

Step 4: Determine the critical value.

Since it is a right-tailed test, we need to find the critical value that corresponds to the given significance level α and the degrees of freedom (df = n - 1).

Looking up the critical value in a t-table with df = 49 and α = 0.05, we find the critical value to be approximately 1.684.

Step 5: Make a decision and interpret the results.

If the test statistic (t-value) is greater than the critical value, we reject the null hypothesis; otherwise, we fail to reject the null hypothesis.

In this case, the calculated t-value is approximately 1.76, which is greater than the critical value of 1.684. Therefore, we reject the null hypothesis.

hence, Based on the sample data and the hypothesis test, there is sufficient evidence to support the claim that the population mean μ is greater than 29 at the significance level of 0.05.

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Answer:

6 1/4

Step-by-step explanation:

1/2 = 2/4

2/4 + 3/4 = 5/4 which is 1 1/4 simplified.

Then add the whole numbers, 2 + 3 = 5

5 + 1 1/4 = 6 1/4

Tomas rides 6 1/4 miles everyday.

The correct option among the following statement is B. 72 percent of the variation in the dependent variable is  curvature explained by the model.

R-squared (R²) is a statistical measure that represents the proportion of the variance for a dependent variable that's explained by an independent variable or variables in a regression model

Whereas correlation explains the strength of the relationship between an independent and dependent variable, R-squared explains to what extent the variance of one variable explains the variance of the second variable.

Hence, if an estimated regression model Y = a + b*x + e, yielded an R^2 of 0.72, we can conclude that 72 percent of the variation in the dependent variable is explained by the model.

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Creating a discussion question, evaluating prospective solutions, and brainstorming and evaluating possible solutions are steps in problem-solving.

What is problem-solving?

Problem-solving is the method of examining, analyzing, and then resolving a difficult issue or situation to reach an effective solution.

Problem-solving usually requires identifying and defining a problem, considering alternative solutions, and picking the best option based on certain criteria.

Below are the steps in problem-solving:

Step 1: Define the Problem

Step 2: Identify the Root Cause of the Problem

Step 3: Develop Alternative Solutions

Step 4: Evaluate and Choose Solutions

Step 5: Implement the Chosen Solution

Step 6: Monitor Progress and Follow-up on the Solution.

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The critical point is (-1, 3), The function has a relative minimum at (-1, 3), and there are no saddle points.

What is saddle point?

In mathematics, a saddle point refers to a point on a surface or in a function where it is neither a local minimum nor a local maximum but exhibits a unique property.

To find the critical points, relative extrema, and saddle points of the function \(f(x, y) = x^2 + y^2 + 2x - 6y + 5,\) we need to find the partial derivatives with respect to x and y and set them equal to zero.

Partial derivative with respect to x:

∂f/∂x = 2x + 2

Partial derivative with respect to y:

∂f/∂y = 2y - 6

Setting these partial derivatives equal to zero and solving for x and y, we have:

2x + 2 = 0 -> x = -1

2y - 6 = 0 -> y = 3

The critical point is (-1, 3).

To determine the nature of the critical point, we can use the second partial derivative test. We need to calculate the second partial derivatives:

\(\partial^2f/\partial x^2 = 2\\\\{\partial^2 f}/{{\partial y^2}} = 2\\\\\partial^2f/\partialx \partial y = 0\\)

Calculating the discriminant \(D = (\partial^2f/\partial x^2)(\partial^2f/\partial y^2) - (\partial^2f/\partial x\partialy)^2\), we have:

\(D = (2)(2) - (0)^2 = 4\)

Since D > 0 and \((\partial^2f/\partial x^2) > 0\), we can conclude that the critical point (-1, 3) is a relative minimum.

Therefore, the function has a relative minimum at (-1, 3), and there are no saddle points.

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The general solution for the trigonometric equation given is \(\frac{5\pi }{3} + 2\pi n\), where n is an integer.

Given a trigonometric equation.

We have to find the general solution to the trigonometric equation.

Given trigonometric equation is,

-√3 csc θ = 2

We have to find the general solution to the trigonometric function.

That is, all the values of θ for which the equation holds.

-√3 csc θ = 2

-√3 (1/ sinθ) = 2

-√3 / sinθ = 2

sinθ = -√3 / 2

θ = sin⁻¹ (-√3/2)

  = - sin⁻¹ (√3/2)  [Since sin⁻¹ (-x) = - sin⁻¹ (x)]

We know that,

sin⁻¹ (√3/2) = 60 degrees = π/3

Now, -π/3 is same as 2π - π/3 = 5π/3

And the period of sine function is 2π.

Hence the general solution is,

θ = 5π/3 + 2πn, where n is an integer.

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Answer: i have had this question before and got it right but i forgot i wish i could help

Step-by-step explanation: