A family buys 6 airline tickets online. The family buys travel insurance that costs $18 per ticket. The total cost is $1,140. Let x represent the price of one ticket. Write an equation for the total cost. Then find the price of one ticket
Which equation represents this situation?
O A. 1.140 = 18(x+6)
OB. 1.140 = 6x + 18
0C18 = 6x + 1,140
OD 1.140 = 6(x + 18)

For a one-tailed hypothesis test (upper tail), the p-value is computed to be .034. If the test is being conducted at the 5% level of significance, the null hypothesis C. is rejected

A one-tailed hypothesis test refers to a statistical test in which the alternative hypothesis is either greater than or less than the null hypothesis, but not both. Since the problem states that it is a one-tailed hypothesis test (upper tail), the alternative hypothesis, H1, will be a greater than or > sign. Hypothesis testing is the method of determining whether or not an assertion about a population parameter is consistent with sample data. A hypothesis test is conducted to assist in deciding between two competing hypotheses. One hypothesis is the null hypothesis (H0), which is a statement of the population parameter that is being tested.

In a hypothesis test, the null hypothesis is rejected if the test statistic falls in the rejection region. The test statistic, which measures the distance between a sample estimate and the null hypothesis, is used to assess whether or not the null hypothesis should be rejected. Reject the null hypothesis if the p-value is less than or equal to α. Since the p-value of 0.034 is less than the level of significance, α, of 0.05, the null hypothesis will be rejected, according to the question above. Therefore, option C is correct.

The Question was Incomplete, Find the full content below :

For a one-tailed hypothesis test (upper tail), the p-value is computed to be .034. If the test is being conducted at the 5% level of significance, the null hypothesis

a. could be rejected or not rejected depending on the sample size.

b. could be rejected or not rejected depending on the sample mean.

c. is rejected.

d. is not rejected.

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Step-by-step explanation:

(1$) 7+ ($5) 4 + ($10) 11=22 bills

7+20+110=137$

Answer:

Step-by-step explanation:

To calculate the amount of ice needed for this sculpture, we would apply the formula for determining the volume of a rectangular base pyramid which is expressed as

Volume = 1/3 × base area × height

Since the base is rectangular, base area = length × width = 3 × 5 = 15 m

Given that height = 3.6m, therefore, the amount of ice needed for this sculpture is

1/3 × 15 × 3.6 = 18 m³

Answer: To calculate the amount of ice needed for this sculpture, we would apply the formula for determining the volume of a rectangular base pyramid which is expressed as Volume = 1/3 × base area × heightSince the base is rectangular, base area = length × width = 3 × 5 = 15 mGiven that height = 3.6m, therefore, the amount of ice needed for this sculpture is 1/3 × 15 × 3.6 = 18 m³

Step-by-step explanation:

A function f(x) = -(x+4)^2 + 2 has vertex (-4,2) which is a maximum point and a function g(x) = (x-2)^2 - 2 has vertex (2,-2) which is a minimum point.

In this question we have been given two functions  f(x) = −(x + 4)2 + 2 and g(x) = (x − 2)2 − 2which  have been rewritten using the completing-the-square method.

We need to determine if the vertex for each function is a minimum or a maximum.

We know that, the vertex form of a quadratic function is f(x) = a(x – h)2 + k, where a, h, and k are constants.

The graph of parabola is at (h, k).

So, the vertex of the quadratic function f(x)=-(x+4)^2+2 is (-4,2)

The vertex of quadratic function g(x) =(x-2)^2-2 is vertex (2,-2)

The graph of both the functions is shown below.

A vertex (-4,2) is a maximum point of function f(x) = −(x + 4)2 + 2  and a vertex (2,-2) is a minimum point of function g(x) = (x − 2)2 − 2

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The vertex of the equation is (x, y) = (2, 0). This also makes sense since the equation is a parabola that opens downward, meaning the lowest point is at the vertex.

The function f(x) = −(x + 4)2 + 2 is in vertex form and can be written as:

f(x) = −(x + 4)2 + 2 = −(x + 4)2 + 4 − 2

Using the completing-the-square method, the equation can be rewritten as:

f(x) = −(x + 4)2 + 4 − 2 = −(x + 4)2 + 4 − 4 + 2 = −(x + 4)2 + 4 = −(x + 4 + 2)(x + 4 − 2)

Now, we can determine the vertex of the equation. To do this, we can set the equation equal to 0.

0 = −(x + 4 + 2)(x + 4 − 2)

From this equation, we can solve for x to get the x-coordinate of the vertex.

x = −2

Now, we can plug this x-coordinate into the equation to get the y-coordinate of the vertex.

f(−2) = −(−2 + 4)2 + 4 = 0

Therefore, the vertex of the equation is (x, y) = (−2, 0). Since the y-coordinate of the vertex is 0, this means that the vertex is a minimum. This makes sense since the equation is a parabola that opens downward, meaning the lowest point is at the vertex.

We can use the same method for the function g(x) = (x − 2)2 − 2. First, we can rewrite the equation using the completing-the-square method.

g(x) = (x − 2)2 − 2 = (x − 2)2 − 4 + 2 = (x − 2)2 − 4 = (x − 2 + 2)(x − 2 − 2)

Set the equation equal to 0 and solve for x to get the x-coordinate of the vertex.

0 = (x − 2 + 2)(x − 2 − 2)

x = 2

Plug this x-coordinate into the equation to get the y-coordinate of the vertex.

g(2) = (2 − 2)2 − 4 = 0

Therefore, the vertex of the equation is (x, y) = (2, 0). Since the y-coordinate of the vertex is 0, this means that the vertex is a minimum. This also makes sense since the equation is a parabola that opens downward, meaning the lowest point is at the vertex.

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Answer:

Really?!?! Welp I'm here for it.

Step-by-step explanation:

Answer:

x2- 2x+1 =x2-x-x+1

=x(x-1) -1(x-1)

=(x-1)(x-1)

We need to keep it this way as this is the simplest way of expressing its factors.

-1

9514 1404 393

Answer:

  b.  9^(x-3) = 9^3

Step-by-step explanation:

Realizing that 729 = 9^3, we can rewrite the equation ...

  9^(x -3) = 729

as ...

  9^(x -3) = 9^3 . . . . . . matches the second selection

__

Recognizing that 9 = 3^2, a couple of other equivalent forms can be made.

  (3^2)^(x -3) = (3^2)^3

  3^(2x-6) = 3^6

or, taking the square root, ...

  3^(x -3) = 3^3

None of these forms match any answer choices.

_____

The solution will be found by matching exponents:

  x -3 = 3

  x = 6

Answer:

b

Step-by-step explanation:

got it right

Answer:

267.9 \(cm^{3}\)

Step-by-step explanation:

volume of a circle = 4/3 * π *\(r^{2}\)

=4/3 *3.14 *\(8^{2}\)

=12.56/3 *64

=803.84/3

=267.94

=267.9 \(cm^{3}\)

Answer:

√104

Step-by-step explanation:

missing side = \(\sqrt{15^2-11^2} = \sqrt{225-121} = \sqrt{104}\)

Answer:

Eres una idiota

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

I did this on a quiz and I got it right :)

The statement in part b) is TRUE. If Q is an Orthogonal matrix, then Q^-1 is equal to its transpose, Q^T.

a) The statement "Given matrix A, A⊥ and A⊥⊥ are orthogonal complements" is FALSE.

To understand why, we need to define the terms "orthogonal complement" and "orthogonal matrix."

In linear algebra, the orthogonal complement of a subspace is the set of all vectors that are orthogonal (perpendicular) to every vector in that subspace. If we have a subspace A, its orthogonal complement is denoted by A⊥.

Now, the orthogonal complement of A⊥ is denoted as A⊥⊥. It consists of all vectors that are orthogonal to every vector in A⊥.

In general, it is not true that A⊥ and A⊥⊥ are orthogonal complements. A⊥⊥ is the subspace that contains all vectors orthogonal to the vectors in A⊥, not the original subspace A.

b) The statement "If Q is an orthogonal matrix, then Q^-1 = Q^T" is TRUE.

An orthogonal matrix is a square matrix in which the columns are mutually orthogonal unit vectors (orthonormal). The inverse of an orthogonal matrix is equal to its transpose.

By definition, if Q is an orthogonal matrix, then Q^T is the transpose of Q. The transpose of a matrix swaps its rows and columns.

When we take the inverse of an orthogonal matrix, Q^(-1), it is equivalent to Q^T. Therefore, Q^-1 = Q^T for an orthogonal matrix.

This property holds true for orthogonal matrices and is an important characteristic of these matrices. It ensures that the product of a matrix and its transpose (or inverse) preserves the orthogonality of the vectors in the matrix.

In summary, the statement in part b) is TRUE. If Q is an orthogonal matrix, then Q^-1 is equal to its transpose, Q^T. However, the statement in part a) is FALSE. A⊥ and A⊥⊥ are not orthogonal complements.

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You can find no - down payment home and farm loans in addition to grants to start rural businesses at The U.S. Department of Agriculture.

The USDA provides multiple loan and grant opportunities to those residing in rural areas, such as the USDA Rural Development Guaranteed Loan Program and the USDA Beginning Farmer and Rancher Loan Program.

The Small Business Administration SBA has an array of small business loan and grant options, such as the Microloan Program and the 7(a) Loan Program.

Government bodies at the state and local levels frequently provide their own loan and grant initiatives tailored to assist those residing in rural areas and running businesses within such communities. Nonprofit organizations have a range of loan and grant initiatives that cater to the needs of inhabitants and enterprises in rural areas.

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The height is equal to the radius, the height of the cone to the nearest tenth of a centimetre is 14.98 cm. A cone with equal height and radius has volume 1234 cm³. To find the height of the cone, we will use the formula for the volume of a cone: V = 1/3πr²h

A cone with equal height and radius has volume 1234 cm³. To find the height of the cone, we will use the formula for the volume of a cone: V = 1/3πr²h

where: V is the volume of the cone, π is pi (3.14), r is the radius of the cone, h is the height of the cone

We are given that the height and radius of the cone are equal, so we can substitute r for h. Also, we know the volume of the cone is 1234 cm³. So:

1234 = 1/3πr²h

1234 = 1/3πr²(r)

1234 = 1/3πr³ (since r = h)

Now we can solve for r: 1234 * 3 / π = r³

3747.22 = r³

r ≈ 14.98 cm

Since the height is equal to the radius, the height of the cone to the nearest tenth of a centimetre is 14.98 cm.

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The capitalized cost for the solid waste treatment plant, based on a 6% MARR, is approximately $579 million.

To calculate the capitalized cost for the solid waste treatment plant, we need to determine the present value of all the costs over the project's lifespan.

The costs involved in the project are as follows:

Initial installation cost: $35 million.

Minor repair and renovation (R&R) after 10 years: $14 million.

Major R&R after 20 years: $18 million.

Operating and maintenance (O&M) costs each year, increasing at a compound rate of 6% per year.

First, let's calculate the present value of the O&M costs over the 20-year period: Using the TVM Factor Table calculator, the present value factor for a 6% MARR and 20 years is 10.206.

The total O&M costs over 20 years can be calculated as follows: O&M costs for the first year: $3 million. O&M costs for the subsequent years: $3 million * (1 + 0.06) + $3 million * (1 + 0.06)^2 + ... + $3 million * (1 + 0.06)^19.

Using the formula for the sum of a geometric series, the O&M costs over the 20-year period can be calculated as: O&M costs = $3 million * (1 - (1 + 0.06)^20) / (1 - (1 + 0.06)) = $3 million * (1 - 1.418519) / (-0.06) = $3 million * (-0.418519) / (-0.06) = $2.91038 million.

Now, let's calculate the present value of the costs: Present value of the initial installation cost: $35 million.

Present value of the minor R&R cost after 10 years: $14 million * 10.206 (present value factor for 6% MARR and 10 years) = $142.884 million. Present value of the major R&R cost after 20 years: $18 million * 10.206^2 (present value factor for 6% MARR and 20 years) = $371.001 million.

Present value of the O&M costs: $2.91038 million * 10.206 = $29.721 million. Finally, the capitalized cost of the solid waste treatment plant is the sum of all the present values: Capitalized cost = $35 million + $142.884 million + $371.001 million + $29.721 million = $578.606 million.

Rounding the final answer to the nearest whole number, the capitalized cost for the solid waste treatment plant is $579 million.

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The complete question is:

A new solid waste treatment plant is to be constructed in Washington County. The initial installation will cost $35 million (M). After 10 years, minor repair and renovation (R&R) will occur at a cost of $14M will be required; after 20 years, a major R&R costing $18M will be required. The investment pattern will repeat every 20 years. Each year during the 20 -year period, operating and maintenance (O\&M) costs will occur. The first year, O\&M costs will total $3M. Thereafter, O\&M costs will increase at a compound rate of 6% per year. Based on a 6% MARR, what is the capitalized cost for the solid waste treatment plant? Click here to access the TVM Factor Table calculator. $ Carry all interim calculations to 5 decimal places and then round your final answer to a whole number. The tolerance is ±25,000.

The SymPy function that is used to display a graph of a mathematical function is plot().

SymPy is a Python library for symbolic mathematics that aims to become a full-featured computer algebra system while keeping the code as easy as possible in order to be comprehensible and easily extensible.

A plot is a graphical representation of a function or data set that is drawn in a coordinate plane. It allows you to see patterns and trends in your data that may not be apparent from looking at a list of numbers. SymPy is a Python library for symbolic mathematics that includes the plot() function for generating plots of mathematical functions.

To illustrate, the following code generates a plot of the function y = x^2 over the domain [-5,5].

Code:from sympy import plot, symbols, cosx = symbols('x')plot(x**2, (x, -5, 5))

The plot() function has the following arguments:

x: The mathematical expression for the function to plot.

(x, a, b): The tuple specifying the variable x and the domain [a,b].

The plot() function also accepts a number of other optional parameters for customizing the plot, such as the title, labels, and line style.

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The value that represents the variable x in the trapezoid is 108 degrees

From the question, the trapezoid represents the given parameter

We can see that the trapezoid is an isosceles triangle

This means that the angle x and y are congruent

The sum of angles is a trapezoid is 360 degrees

So, we have the following summation equation

x + x + 72+ 72 = 360

Evaluate the like terms

So, we have

2x + 144= 360

This gives

2x = 216

Divide by 2

x = 108

Hence, the value of x is 108 degrees

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Answer:

4

Step-by-step explanation:

-4 - (-8) Note: a negative negative equals a positive. There for it is just the same as saying -4 + 8

The volume of a square base pyramid with edge length of 5 cm and height of 7 cm is 58. 33 cm³

The volume of a pyramid is decribe as follows:

volume of a pyramid = 1 / 3 Bh

where

Therefore,

B = 5² = 25 cm²

volume of the pyramid = 1 / 3 × 25 × 7

volume of the pyramid = 175 / 3

volume of the pyramid = 58.3333333333

volume of the pyramid = 58. 33 cm³

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Answer:

C. 58 1/3 cm^3

Step-by-step explanation:

Answer:

$0.56, or 56¢.

Step-by-step explanation:

According to the picture, there are two dimes, two nickels, a penny, and a quarter.

A penny is worth $0.01.

A nickel is worth $0.05.

A dime is worth $0.10.

A quarter is worth $0.25.

2(0.1) + 2(0.05) + (0.01) + (0.25) = 0.2 + 0.1 + 0.01 + 0.25 = 0.3 + 0.26 = 0.56.

So, Vivian is using $0.56, or 56¢, to buy a toy. That's a cheap one!

Hope this helps!

Answer:

There would be 2,120 dollars in that account

Answer:

Step-by-step explanation:

A=P(1 - r/n)^nt

A = 5,000 (1 - 0.03/1)^(1)12)

A = 5,000 (1 - 0.03)^2

A = 5,000 (0.9)^2

A = $5,314.06

Answer:

Step-by-step explanation:

∠A + ∠B = 90    {∠A & ∠B are complementary}

x + 16 + x - 12 = 90

x + x + 16 - 12 = 90       {Combine like terms}

2x  + 4 = 90        { Subtract 4 form both sides}

        2x = 90 - 4

        2x = 86          {divide both sides by 2

        x   = 86/2

           x = 43

Within the relevant range, a curvilinear cost function can be graphed as a curved line. A curvilinear cost function is a cost function where the total cost changes as a function of the level of activity, but not at a constant rate.

This means that as the level of activity increases, the cost per unit may increase or decrease, resulting in a curved relationship between the level of activity and the total cost. In order to determine the optimal level of activity, a manager can use calculus to find the point where the marginal cost equals the marginal revenue.

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Answer:

If this is the equation you meant to type (3x + 10 = 13x) then the answer is x = 1.

If this is the equation you meant to type (3x - 10 = 13x) then the answer is x = -1.

The three congruent triangles in this problem are given as follows:

LPN, MPL and PLN.

When triangles have the same side lengths, they are called congruent.

For a circle, we need to know that:

Hence, for this triangle, we have that:

The three triangles in this problem are given as follows:

LPN, MPL and PLN.

Since each triangle is composed by two segments that represent the radius of the circle and one segment representing the diameter, they have the same side lengths, hence they are congruent triangles.

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Answer:

-2, -1, 0, 1, 2.

Solution

Let x be the middle term of this sequence of 5 terms.

Then the sequence is x-2, x-1, x, x+1, x+2.

The sum of the terms is (x-2) + (x-1) + x + (x+1) + (x+2) = 5x.

Thus 5x = 0.

It gives x = 0.

So the sequence is -2, -1, 0, 1, 2.

Answer:

k=-15

Step-by-step explanation:

3(2x-5)=6x+k

open the bracket by multiplying the contents of the bracket by +3

6x-15=6x+k

collect.like.terms(C.L.T)

6x-6x-k=+15

-k=+15 or

-k=15

switch the signs equal to sign(=)

k=-15

Answer:

-3x, where x is the number of yards lost on the first play.

Step-by-step explanation: