Which shapes that has 2 pairs of equal length

The maximum profit if the profits per acre are $75 for corn and $40 for soybeans is $371,255.83. Therefore, the correct option is c.

To find the maximum profit from planting corn and soybeans, we can use linear programming. Let's first define the variables and write the constraints.

Let x be the number of acres of corn and y be the number of acres of soybeans.

1. Total acre constraint: x + y ≤ 6,000

2. Fertilizer/herbicide constraint: 9x + 3y ≤ 40,501

3. Labor constraint: 0.75x + y ≤ 5,250

The objective function to maximize is the profit function: P(x,y) = 75x + 40y

Now, we will use the Solver to find the maximum profit:

Step 1: Set up a spreadsheet with the constraints and the objective function.

Step 2: Go to the Data tab and click on Solver. If Solver is not available, you may need to add it in Excel Options.

Step 3: Set the objective function by selecting the cell with the profit function.

Step 4: Choose "Max" for the objective.

Step 5: Add the constraints by selecting the corresponding cells.

Step 6: Click on "Solve" and the Solver will find the optimal values for x and y.

After using Solver, we find that the optimal values are x = 4,363.89 (corn) and y = 1,636.11 (soybeans), which yields a maximum profit of $371,255.83. Therefore, the correct answer is c: $371,255.83

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Answer:

3

Step-by-step explanation:

gd=14cm

dc=17cm

then,

gd-dc

14cm-17cm

0=14cm-17cm

0=-3

0+3

3

Answer:

mean-76.3285

median-79

mode-95

Step-by-step explanation:

mean-

Answer:

d= -125

Step-by-step explanation:

Add 2 to 23

-d/5 < 25

Multiply 5

-d< 125

Divide by -1

d<-125

Change it to equals

d= -125

Answer:

A: =105

Step-by-step explanation:

The number of combinations of random samples of 5 students can be 792.

Given, 12 groups of students

We have to select random samples of 5 students,

Here we will use the combination formula,

Cₙ,ₓ = n! / x! (n - x)!

Here n=12 and x=5

Cₙ,ₓ = 12! / 5! (7!)

Cₙ,ₓ = 479,001,600 / (120) × (5040)

Cₙ,ₓ = 792

Therefore the possible ways of selecting the random samples of 5 students are 792.

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Answer:

i dont understand it

Step-by-step explanation:

i have attached an image of the bearing of 075°

Answer:

The property tax increases by 35

Step-by-step explanation:

The number 333 in the equation is a constant.  It is added to the total no matter how many years after 1990.  The 35 is what is increasing every year after 1990.

The main answer to your question is 942 square inches. To arrive at this answer, you need to use the formula for the surface area of a cylinder, which is A = 2πr(r + h)

where r is the radius of the cylinder and h is its height. In your case, the radius is half of the diameter, which is 5 inches, so r = 2.5 inches. The height of the cylinder is 30 inches. Plugging these values into the formula, you get A = 2π(2.5)(2.5 + 30), which simplifies to A = 942 square inches.
To find the surface area of a cylinder with dimensions 5 inches (diameter) and 30 inches (height), you'll need to use the formula:

Surface Area = 2 * pi * r * (r + h)

where r is the radius (half of the diameter) and h is the height.

Step 1: Calculate the radius (r). Since the diameter is 5 inches, the radius (r) is half of that: r = 5/2 = 2.5 inches.

Step 2: Plug the radius and height into the formula.
Surface Area = 2 * pi * 2.5 * (2.5 + 30)

Step 3: Calculate the surface area.
Surface Area = 2 * 3.1416 * 2.5 * (2.5 + 30)
Surface Area = 2 * 3.1416 * 2.5 * 32.5
Surface Area ≈ 514.718 square inches

The main answer is that the surface area of the cylinder is approximately 514.718 square inches. This is the result of using the formula for the surface area of a cylinder and plugging in the given dimensions.

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The equation is given as follows:

d = 50t.

Velocity is given by the change in the distance divided by the change in the time, hence the following equation is built to model the relationship between these three variables:

v = d/t.

The bird can fly 400 kilometers in 8 hours, hence the velocity is given as follows:

v = 400/8

v = 50 km/h.

Then the equation is given as follows:

d = vt

d = 50t.

The complete problem is:

"An albatross is a large bird that can fly 400 kilometers in 8 hours at a constant speed. Write an equation to represent the distance d, in kilometers, of each bird after t hours".

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The coordinate of the centroid of the given triangle will be at (-2.33,5).

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The given triangle with vertices has been drawn.

The midpoint of H( – 6, 3) and F(1, 5) will be as,

x = (-6 + 1)/2 = -2.5

y = (3 + 5)/2 = 4 so D(-2.5,4)

The coordinate of the centroid will intersect 2:1 of the median from the vertex side.

Thus by intercept formula,

x = (2 × -2.5 + 1 × -2)/(2 + 1) and y = (2 × 4 + 1 × 7)/(2 + 1)

x = -2.33 and y = 5

So the coordinate of vertices will be (-2.33,5).

Hence "The specified triangle's centroid's coordinate will be at (-2.33,5)".

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Answer:

\(y = (x - 3)^2 - 12\)

\((3,-12)\)

Step-by-step explanation:

Given

\(y = x^2 - 6x - 3\)

Solving (a): In vertex form

The vertex form of an equation is:

\(y = a(x - h)^2 + k\)

To do this, we make use of completing the square method.

We have:

\(y = x^2 - 6x - 3\)

------------------------------------------------------------------

Take the coefficient of x (i.e. -6)

Divide by 2; -6/2 = -3

Square it: (-3)^2 = 9

Add and subtract the result to the equation

------------------------------------------------------------------

\(y = x^2 - 6x - 3\)

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

\(y = x^2 - 6x + 9 - 12\)

Factorize \(x^2 - 6x + 9\)

\(y = x^2 - 3x-3x + 9 - 12\)

\(y = x(x - 3)-3(x - 3) - 12\)

Factor out x - 3

\(y = (x - 3)(x - 3) - 12\)

Express as squares

\(y = (x - 3)^2 - 12\)

Hence, the vertex form of \(y = x^2 - 6x - 3\) is: \(y = (x - 3)^2 - 12\)

Solving (b): State the coordinates of the vertex.

In \(y = a(x - h)^2 + k\); the vertex is: (h,k)

The vertex of \(y = (x - 3)^2 - 12\) will be \((3,-12)\)

Answer:

(2•5y to the 7th power)

Step-by-step explanation:

Step 1:  (2y to the 4th power • 5) • y to the 3rd power

Step 2:  (2•5y to the 4th power) • y to the 3rd power

Step 3:  3.1    y to the 4th power multiplied by y to the 3rd power = y to the  (4 + 3) power = y to the 7th power

Final answer:  (2•5y to the 7th power)

The expression \(2y^{4} * 5y^{3}\)  is equal to 10\(y^{7}\).

When two expressions with exponents are multiplied, it is called multiplying exponents. The multiplication of exponents involves certain rules depending upon the base and the power.

When the terms with the same base are multiplied, the powers are added, i.e., \(a^{m}\) × \(a^{n}\) = \(a^{{m+n}}\)

According to the question

\(2y^{4} * 5y^{3}\)

Now,

Using the multiplying exponent rule :

the terms with the same base are multiplied, the powers are added, i.e., \(a^{m}\) × \(a^{n}\) = \(a^{{m+n}}\)

Therefore,

As, base y is common in both the terms

= 10\(y^{4+3}\)

= 10\(y^{7}\)

Hence, the expression \(2y^{4} * 5y^{3}\)  is equal to 10\(y^{7}\).

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For the given mean of 50 and standard-deviation of 10, the expected value will be 50.

The "Expected-Value", also known as the mean or average, is a measure of central tendency. It represents the average value that we would expect to obtain if we were to repeatedly sample from a distribution.

In this case, We have a mean of 50 and a standard-deviation of 10. The mean is the average value of the data set, and it serves as an estimate of the expected value. So, when the mean is given as 50, the expected value is also 50.

The standard deviation, quantifies the variability or dispersion of the data points around the mean. While the standard deviation provides valuable information about the spread of the data, it does not directly affect the expected-value calculation.

Therefore, the required expected-value is 50.

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The given question is incomplete, the complete question is

How to find expected value for given mean as 50 and standard deviation as 10?

The expected value can be found by using the formula: Expected Value = mean. It represents the average outcome of a random variable.

The expected value, also known as the mean or average, is a measure of central tendency in probability and statistics. It represents the average outcome of a random variable. To find the expected value given the mean and standard deviation, you can use the formula:

Expected Value = Mean

The mean is the sum of all the values divided by the number of values. It gives us a measure of the central location of the data. The standard deviation, on the other hand, measures the spread or variability of the data. It tells us how much the values deviate from the mean.

The formula for standard deviation is the square root of the variance. Variance is the average of the squared differences from the mean. By knowing the mean and standard deviation, you can calculate the expected value.

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I know that C(k+n−1,n) denotes the number of ways n indistinguishable books can be placed on k distinguishable shelves. But I'm not too sure how multiplying that by n! will give us the solution to the question

C(k+n−1,n)×n!

On a side note, when we are given a question that requires us to arrange n distinguishable objects into k distinguishable bins, is it correct to say that to obtain the answer we simply just have to multiply n! to the number of ways required to arrange n indistinguishable objects into k distinguishable bins.

1) The books are indistinguishable, the shelves are distinguishable

There are n books and k−1 dividers, so this is a sequence of n+k−1 stars that we will choose k−1 of the stars to turn into dividers, resulting in n stars representing books and k−1 dividers. The answer is:

                                             (n+k−1k−1)

2) The books are indistinguishable, the shelves are indistinguishable

This is just the number of ways in case 1 divide by k! because case 1 counted distinguishable shelves, which implicitly counted the permutation of the shelves. So we explicit divide by the permutation of the shelves for indistinguishable shelves. The answer is:

                                          (n+k−1k−1)k!

3) the books are distinguishable, the shelves are distinguishable, and the order of the books on each shelf matters do this 2 stages. First, there are n! ways of arranging the books. Then, for each arrangement, use the stars and dividers method in case 1 to place k−1 dividers, which there are (n+k−1k−1) ways. The answer is:

                                           n!×(n+k−1k−1)

4) the books are distinguishable, the shelves are indistinguishable, and the order of the books on each shelf matters

this is just like the relationship between case 1 and case 2, so we divide by the result from case 3 by k!. The answer is:

                                          n!×(n+k−1k−1)k!

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Answer:

Step-by-step explanation:

If all the pencils together weigh 112 g and one rolls off and the new weight is 105 g, then one pencil weighs 7 g.  Therefore, the weight of 7 pencils will be

7 pencils * 7g/pencil = 49 g

A situation where peace is being enforced refers to a peacekeeping mission.

Peacekeeping missions refer to actions by regional and global international bodies to maintain the peace in an area.

For instance, if there has been conflict in an area, a peacekeeping force will work to prevent further violence between the parties in conflict.

An example of such missions include the United Nations Peacekeeping mission to the Democratic Republic of Congo and the African Union Peacekeeping mission to Somalia.

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Answer:

Well elimination is basically multiplying a number to make it possible for it to cancel out

We can multiply the first equation by 2

2(x+2y=-1)

This would be

2x+4y=-2

Its still the same thing but just with non simplified numbers

We can now do any method really to solve

I will just do the subtraction method

2x+4y=-2

-2x+y=4

Solve

2x-2x=0

4y-y= 3y

-2-4= -6

3y= -6

Now solve

y=-2

To find x subsitute in “y” and find ”x”.

x+2*-2=-1

x-4=-1

x=3

y= -2

x= 3

Answer:

Step-by-step explanation:

DB then AB CD

The angular coordinate, angular velocity, and angular acceleration of the flywheel are: (a) At t = 0, θ = θ0 = 0.5 rad, ω = 0, and α = 12π²θ0 = 23.55 rad/s².

(b) At t = 0.125 s, θ = 0.267 rad, ω = 4.116 rad/s, and α = -69.08 rad/s².

The given equation for the angular displacement of the flywheel is θ=θ0e(-3πcos(4πt)). Here, θ0 = 0.5 rad. To find the angular velocity and angular acceleration, we need to differentiate θ with respect to time.

θ = θ0e(-3πcos(4πt))

ω = dθ/dt = -12π²θ0e(-3πcos(4πt))sin(4πt)

α = d²θ/dt² = -48π³θ0e(-3πcos(4πt))(cos(4πt) - 2)sin(4πt)

Substituting t = 0, we get:

(a) At t = 0, θ = θ0 = 0.5 rad, ω = dθ/dt = 0, and α = d²θ/dt² = 12π²θ0 = 23.55 rad/s².

(b) At t = 0.125 s, θ = 0.267 rad, ω = dθ/dt = 4.116 rad/s, and α = d²θ/dt² = -69.08 rad/s².

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\(\dfrac{0.25}a = -0.25\\\\\implies 0.25 = -0.25 a\\\\\implies a = \dfrac{0.25}{-0.25} =-1\\\\\\\text{Hence the answer is}~ -1.\)

Answer:

well, when you divide 1/.25 you get 4 so 1^.25 is the correct answer to all questions where you need to find the answer

Step-by-step explanation:

The degrees of freedom used in the the t distribution is 86.

We have to calculate the degrees of freedom using the given formula. The t distribution is used as the population mean and standard deviation is not known. The data of two samples from two different population are given, using which we have to compute degrees of freedom.

Given,

n1=40, n2=50

\(\bar{x_{1} }\)=32.2 , \(\bar{x_{2} }\)= 30.1

s1=2.8 , s2= 4.1

The

The degrees of freedom formula is given by

\(df=\frac{\left(\frac{s_1{ }^2}{n_1}+\frac{s_2^2}{n_2}\right)^2}{\frac{1}{n_1-1}\left(\frac{s_1^2}{n_1}\right)^2+\frac{1}{n_2-1}\left(\frac{s_2^2}{n_2}\right)^2} \\\)

Substituting the given values, we get

\(df=\frac{\left(\frac{2.8^2}{40}+\frac{4.1^2}{50}\right)^2}{\frac{1}{40-1}\left(\frac{2.8^2}{40}\right)^2+\frac{1}{50-1}\left(\frac{4.1^2}{50}\right)^2}\)

Further simplifying, we get

\(d f=\frac{(0.5322)^2}{0.0032917}\)

df= 86.04

Therefore, the degrees of freedom used after rounding off to the nearest integer is 86.

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Each installment will be approximately $15,280.55.

To calculate the equal six-monthly installment, we can use the formula for the present value of an annuity.

Principal amount (P) = $500,000

Interest rate (r) = 12% per annum = 12/100 = 0.12 (compounded monthly)

Number of periods (n) = 20 (since there are 20 equal six-monthly installments)

The formula for the present value of an annuity is:

\(P = A * (1 - (1 + r)^(-n)) / r\)

Where:

P = Principal amount

A = Equal installment amount

r = Interest rate per period

n = Number of periods

Substituting the given values into the formula, we have:

$500,000 = \(A * (1 - (1 + 0.12/12)^(-20)) / (0.12/12)\)

Simplifying the equation:

$500,000 = A * (1 - (1.01)^(-20)) / (0.01)

$500,000 = A * (1 - 0.6726) / 0.01

$500,000 = A * 0.3274 / 0.01

$500,000 = A * 32.74

Dividing both sides by 32.74:

A = $500,000 / 32.74

A ≈ $15,280.55

Therefore, each installment will be approximately $15,280.55.

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Answer:

159 cubic km.

Explanation:

The given figure is a triangular prism. To calculate the volume, we use the formula below:

First, the base area is calculated:

• The base of the Triangular Cross-section = 10 km

• Perpendicular Height = 5.3 km

The length of the prism = 6 km

Therefore, the volume:

The volume of the figure is 159 cubic km.

It is correct to say that any point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment.

Any point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment. What is a perpendicular bisector? A perpendicular bisector is a line that intersects a line segment and forms a 90-degree angle. It divides the line segment into two equal halves.Each point on the perpendicular bisector of a line segment is equidistant from the endpoints of the segment. This means that the distance from any point on the line to one endpoint of the segment is the same as the distance to the other endpoint of the segment.

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