how do you find the area of a trapezoid that is on a rectangle​

Answer: 24

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

c

In a two-period endowment economy, the new tax scheme might imply a Pareto improvement compared to the initial situation with no taxes. However, it is not possible to generalize it as the situation might be different for various tax schemes.

The Pareto improvement is an improvement in which at least one party is better off, while no one is worse off. It is impossible to determine whether a new tax scheme in a two-period endowment economy implies a Pareto improvement without knowing the specifics of the tax scheme. As a result, the answer to this question is contingent on the specifics of the tax scheme, as well as the situation of the two-period endowment economy discussed in class.

The lifetime utility function of each consumer is time separable and is given by U(c, d) = u(c). This formula represents the utility function, which implies that the lifetime utility of each consumer is dependent on the consumption of goods and services. Therefore, the Pareto improvement, in this case, depends on the tax scheme and how it affects the consumption of goods and services.

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The first scatter plot does not have a zero correlation.

Option(a) is correct.

A statistic called correlation gauges how much two variables change in connection to one another.

Correlation quantifies correlation but cannot determine whether x causes y or vice versa, or whether a third component is responsible for the association.

A scatterplot may make it easier to spot correlation, particularly when the variables have a non-linear but nevertheless significant association.

Zero means there is no correlation between the two variables under comparison.

A 0 correlation indicates that there is no relationship between the two variables according to the correlation statistic. This merely indicates that there isn't a linear relationship, not that there isn't any link at all. The first scatter plot does not represent a linear relationship, thus, it has zero correlation.

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Answer:

As the height of warehouse is greater than the height of crate, the crate will fit in the warehouse.

Step-by-step explanation:

Given that

Volume of cube = V = 2197 cubic feet

Side of cube = a =?

Height of ware house = h = 14 feet

In order for the crate to fit in the warehouse the height of crate has to be less than the height of warehouse i.e. a<h

In order to check this we have to find the side/height of crate

So,

\(V = a^3\\2197 = a^3\)

Taking cube root on both sides

\(\sqrt[3]{a^3} = \sqrt[3]{2197}\\\sqrt[3]{a^3} = \sqrt[3]{13^3}\\ a = 13\ feet\)

So the height of cube is 13 feet.

Comparing the height of c and height of ware house we can conclude that

Height of Warehouse > Height of crate

h>a

14>13

As the height of warehouse is greater than the height of crate, the crate will fit in the warehouse.

Answer:

x = 11

Step-by-step explanation:

The lower base angles are congruent, so

4x + 41 = 85 ( subtract 41 from both sides )

4x = 44 ( divide both sides by 4 )

x = 11

In a simple linear regression model we use the normal quantile plot of the residuals to evaluate if it is reasonable to assume the error term come from a normal distribution.

In a simple linear regression model, the normal quantile plot of the residuals is a graphical tool used to assess the normality assumption of the error term (also known as the residual). The error term represents the difference between the actual value of the dependent variable and the predicted value by the model.

Assuming that the error term follows a normal distribution is important for various reasons. Firstly, the normal distribution is a very common assumption in statistics, and many statistical methods rely on it. Secondly, a normal distribution of the error term is essential for making reliable predictions and for computing valid confidence intervals.

The normal quantile plot of the residuals compares the distribution of the residuals against a theoretical normal distribution. The plot consists of a straight line if the residuals are normally distributed. However, if the plot shows deviations from the straight line, it indicates non-normality in the residuals.

If the normality assumption is not satisfied, we need to explore the reasons for the non-normality and consider alternative methods to analyze the data, such as non-parametric methods.

Therefore, the normal quantile plot of residuals is an essential diagnostic tool in simple linear regression, as it allows us to evaluate the assumption of normality and make appropriate adjustments to the model.

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Answer:

1232 yards or 3696 feet or 44352 inches or 0.7 of a mile

Step-by-step explanation:

Answer:

14x4 so the answer would be 56 laps

Step-by-step explanation:

Answer:

-48

Step-by-step explanation:

Answer:

\(-48\)

Step-by-step explanation:

\(--------------------------------------------\)

\(1\cdot-6\) = \(-6\)

\(2\cdot-6\) = \(-12\)

\(3\cdot-6\) = \(-18\)

\(4\cdot-6\) = \(-24\)

\(5\cdot-6\) = \(-30\)

\(6\cdot-6\) = \(-36\)

\(7\cdot-6\) = \(-42\)

\(8\cdot-6\) = \(-48\)

\(Answer\) ↑

\(--------------------------------------------\)

Hope this helps! <3

\(--------------------------------------------\)

Answer:

D

Step-by-step explanation:

plato

Answer:

Step-by-step explanation:

(a + b + c)³ = a³ + b³ + c³ + 3a²b + 3a²c + 3ab² + 3cb² +3 ac² + 3bc² + 6abc

a = 5a  ;  b =y   ; c = z

(5x + y + z)(5z + y + z )(5z + y +z) = (5x + y +z)³

= (5x)³ + y³ +z³ + 3(5x)²y + 3(5x)²z + 3(5x)*y² + 3*z*y² + 3*5x*z² + 3*y*z² + 6*5x*y*z

= 125x³ + y³ +z³ + 3*25x²y + 3*25x²*z + 15xy² + 3zy² + 15xz² + 3yz² + 35xyz

= 125x³ + y³ + z³ + 75x²y + 75x²z + 15xy² + 3zy² + 15xz² + 3yz² + 35xyz

So, if the machine in 4.5.2 is traded in, approximately R615,060 extra needs to be paid.

To calculate the depreciated value of the machine after 6 years, we can use both simple interest and compound interest.

4.5.1 Depreciation at simple interest rate:
The formula for simple interest is:
Depreciated value = Initial value - (Initial value * depreciation rate * time)
In this case, the initial value is R900,000, the depreciation rate is 5% (or 0.05), and the time is 6 years. Plugging in these values into the formula, we get:
Depreciated value = R900,000 - (R900,000 * 0.05 * 6) = R900,000 - R270,000 = R630,000

So, the depreciated value of the machine after 6 years, with simple interest depreciation, is R630,000.

4.5.2 Depreciation at compound interest rate:
The formula for compound interest is:
Depreciated value = Initial value * (1 - depreciation rate)^time
Again, the initial value is R900,000, the depreciation rate is 5% (or 0.05), and the time is 6 years. Plugging in these values into the formula, we get:
Depreciated value = R900,000 * (1 - 0.05)^6 = R900,000 * 0.95^6 ≈ R900,000 * 0.7351 ≈ R661,590

So, the depreciated value of the machine after 6 years, with compound interest depreciation, is approximately R661,590.

4.6 To determine the price of the new machine in 4.5 after 6 years, we need to take into account the rate of inflation, which is 6% compounded annually. This means that the price of the new machine will increase by 6% each year.

To calculate the price of the new machine, we can use the formula for compound interest:
New price = Initial price * (1 + inflation rate)^time
In this case, the initial price is R900,000, the inflation rate is 6% (or 0.06), and the time is 6 years. Plugging in these values into the formula, we get:
New price = R900,000 * (1 + 0.06)^6 ≈ R900,000 * 1.4185 ≈ R1,276,650

So, the price of the new machine after 6 years, with the 6% inflation rate, is approximately R1,276,650.

To calculate how much extra needs to be paid if the machine in 4.5.2 is traded in, we need to subtract the depreciated value of the machine in 4.5.2 from the price of the new machine.
Extra payment = Price of new machine - Depreciated value of machine in 4.5.2
Plugging in the values, we get:
Extra payment = R1,276,650 - R661,590 ≈ R615,060

So, if the machine in 4.5.2 is traded in, approximately R615,060 extra needs to be paid.

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Answer:

A baseball diamond is a square with sides of 90 feet. What is the distance to the nearest tenth of a foot between home and second base?

Step-by-step explanation:

127.3 feet This problem requires the use of pythagoras theorem. Ignore the face that it's a baseball diamond. All you're concerned with is that you have a square that's 90 feet per side and you want to know what the length of the diagonal. So you have a right triangle with 2 sides of 90 feet each and you want to know the length of the hypotenuse. The formula is C^2 = A^2 + B^2 Both A and B are 90, so plugging them into the formula gives C^2 = 90^2 + 90^2 = 8100 + 8100 = 16200 So C^2 = 16200 Take the square root of both sides C = 127.2792 Round to the nearest tenth, giving C = 127.3

Answer:

8:125

Step-by-step explanation:

24/375

simplify by dividng each by 3

= 8:125

Answer:

79.

Step-by-step explanation:

Replace the x by -5 and simplify:

f(-5) = 3(-5)^2 + (-5) + 9

       = 75 - 5 + 9

       =  79.

The value of f(-5) will be 79.

Step-by-step explanation:

An expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s) is called a polynomial.

The following table gives special names given to polynomials of low orders.

polynomial order polynomial name

2                         quadratic polynomial

3                         cubic polynomial

4                        quartic

5                         quintic

6                         sextic

Here, the given polynomial: f(x) = 3x² + x + 9

by putting value of x = -5

\(3*(-5)^{2} + (-5) + 9\)

after putting we get,

\(75 - 5 + 9\)

On solving the above numerical we get,

\(79\).

So our final answer would be 79 on putting x = -5 in the given polynomial : f(x) = 3x² + x + 9

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Explanation

Step 1

let x represents the numbers of days you can stay at the beach

then,

You estimate that it will cost $160 a day for food, entertainment and hotel, plus $230 round trip airfare.

so

but, you have only $1200, so the total needs to be smaller or equal than 1200

Step 2

solve the inequality

it means you can stay maximum 6 days

I hope this helps you

Here is a diagram of the points described:

(2,3)      (2, -3)

  |             |

  |             |

  c----------d

Based on the given points, let's consider the following:

Point A: A (2, 3)

Point B: B (2, -3)

Points A and B have the same x-coordinate, indicating that they lie on a vertical line. The y-coordinate of A is greater than the y-coordinate of B, suggesting that A is located above B on the y-axis.

Now, you mentioned that points C and D are collinear. Collinear points lie on the same line. Assuming that points C and D lie on the same vertical line as A and B, but at different positions.

The points A (2,3) and B (2, -3) are collinear, but the points A, B, C, D, and F are not. This is because the points A and B have the same x-coordinate, so they lie on the same vertical line. The points C and D also have the same x-coordinate, so they lie on the same vertical line. However, the point F does not have the same x-coordinate as any of the other points, so it does not lie on the same vertical line as any of them.

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here's the solution,

volume of cone :

=》

\(v = \dfrac{1}{3} \pi {r}^{2} h\)

=》

\(21 = \dfrac{1}{3} \times 3.14 \times4 {}^{2} \times h \)

=》

\(h = \dfrac{21 \times 3}{3.14 \times 16} \)

=》

\(h = 1.253\)

height = 1.25 ft (approximate)

Answer:

I'm going to say \(\frac{4}{1}\) and \(\frac{4}{2}\)

Step-by-step explanation:

The grounded ends of the guy wires are 15 meters apart.

Using the Pythagorean theorem, we can calculate the length of the base (distance between the grounded ends of the guy wires).

Let's denote the length of the base as 'x.'

According to the problem, the height of the tower is 20 meters, and the length of each guy wire is 25 meters. Thus, we have a right triangle where the vertical leg is 20 meters and the hypotenuse is 25 meters.

Applying the Pythagorean theorem:

x² + 20² = 25²

x² + 400 = 625

x² = 225

x = √225

x = 15

Therefore, the grounded ends of the guy wires are 15 meters apart.

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Answer:

C

Step-by-step explanation:

1/18 x³y + 7/18 xy²

1/18 xy (x² + 7y)

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

Equation A

Equation B

Answer:

\(200\pi\) or 628.3185

Step-by-step explanation:

Area of a semicircle is equal to \(\frac{\pi r^{2}}{2}\). So, when the radius is 20, the area of the semicircle will be \(\frac{\pi (20)^{2} }{2} =\frac{400\pi }{2} =200\pi =628.3185\).

Answer:

x = 6

Step-by-step explanation:

2(8x + 1) + 1 = 99 ( subtract 1 from both sides )

2(8x + 1) = 98 ( divide both sides by 2 )

8x + 1 = 49 ( subtract 1 from both sides )

8x = 48 ( divide both sides by 8 )

x = 6

Answer:

x=6

Step-by-step explanation:

2(8x+1)+1=99

Step 1: Simplify both sides of the equation.

2(8x+1)+1=99

(2)(8x)+(2)(1)+1=99(Distribute)

16x+2+1=99

(16x)+(2+1)=99(Combine Like Terms)

16x+3=99

16x+3=99

Step 2: Subtract 3 from both sides.

16x+3−3=99−3

16x=96

Step 3: Divide both sides by 16.

16x

16

=

96

16

x=6

The annual rate of return for the investment in the new oil well should approximately be 90.28%

To calculate the annual rate of return for the investment in the new oil well, we need to consider the net cash flows over its useful life. The net cash flow is the difference between the annual revenues and expenses, taking into account the initial cost and salvage value.

The net cash flow for each year is calculated as follows: Net Cash Flow = Annual Revenues - Annual Expenses - Depreciation

Using the given values, we can calculate the net cash flows for each year:

Year 1: $131,925 - $81,000 - $47,400 = $3,525

Year 2-9: $131,925 - $81,000 = $50,925

Year 10: $131,925 - $81,000 + $11,000 = $61,925

Now, we can calculate the total net cash flows over the 10-year period: Total Net Cash Flows = Year 1 + Year 2-9 + Year 10

= $3,525 + ($50,925 * 8) + $61,925

= $427,825

To determine the annual rate of return, we divide the total net cash flows by the initial investment: Annual Rate of Return = (Total Net Cash Flows / Initial Investment) * 100%

= ($427,825 / $474,000) * 100%

= 90.28%

Therefore, the annual rate of return for the investment in the new oil well is approximately 90.28%. This indicates the profitability of the investment over its useful life.

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Answer:

the black graph is the graph of

y = f(x). Choose the equation for the

red graph.

1

1

a.

b.

c.

d.

y = f(x+3)

y = f(x-3)

y + 3 = f(x)

y-3=f(x)

Given,

The time for the reading is 31 minutes.

The mean for the reading is 29.

The standard deviation for the reading is 4.

The time for the math is 26 minutes.

The mean for the math is 32.

The standard deviation for the math is 2.

The time for the science is 40 minutes.

The mean for the science is 31.

The standard deviation for the science is 4.

The expression for z score is,

The z score for reading is,

The z score for math is,

The z score for science is,

Hence, the z score of reading is 0.5, math is -3 and science is 2.25.

Answer:

Step-by-step explanation:

hope this helps!

There are 5,040 different ways that the first seven students in line can be ordered.

An arrangement is a permutation of a set of objects in mathematics where the order of the things is important. An arrangement is specifically an orderly succession of unique elements drawn from a set.

Consider the set "A, B, C," for instance. This set can be arranged in six different ways: ABC, ACB, BAC, BCA, CAB, and CBA. The three components of the set are stated in a precise order in each of these configurations.

The number of ways that 7 students can be arranged in a line is 7! (7 factorial) which is equal to:

7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5,040

Therefore, there are 5,040 different ways that the first seven students in line can be ordered.

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Answer:

I suggest that you use Socratic to solve this.

Step-by-step explanation:

Answer:

\(x=\frac{-3}{2}\)

Step-by-step explanation:

\(2 + 4 ( x + 1 ) = 0\)

\(2 + 4x + 4 = 0\)

\(6 + 4x = 0\)

\(4x = -6\)

\(x = \frac{-3}{2}\)