4√90 in simplest radical form.

the optimal solution to maximize Z is x1 = 25 and x2 = 0, with Z = 3000.

To solve the given linear programming model graphically, we need to plot the feasible region and identify the corner points to find the optimal solution. Here's the step-by-step process:

1. Plot the constraints:

  - Plot the line x1 = 40 (vertical line at x1 = 40).

  - Plot the line x2 = 10 (horizontal line at x2 = 10).

  - Plot the line 20x1 + 10x2 = 500 (which can be rewritten as 2x1 + x2 = 50).

  - Shade the feasible region that satisfies all the constraints.

2. Identify the corner points:

  - Determine the coordinates of the corner points where the boundary lines intersect.

3. Evaluate the objective function:

  - Calculate the value of the objective function Z = 120x1 + 80x2 for each corner point.

4. Determine the optimal solution:

  - Select the corner point that maximizes the objective function Z.

Here's the graphical representation of the feasible region:

      |

 40   |           C

      |          /

      |         /

      |        /

      |       /

      |      /

      |     /    Feasible Region

 10   |_____/_________________

      0   10  20  30  40  50

            0`

The corner points of the feasible region are:

A: (0, 0)

B: (0, 10)

C: (25, 0)

D: (20, 5)

Now, we evaluate the objective function Z = 120x1 + 80x2 for each corner point:

Z(A) = 120(0) + 80(0) = 0

Z(B) = 120(0) + 80(10) = 800

Z(C) = 120(25) + 80(0) = 3000

Z(D) = 120(20) + 80(5) = 2400

From the above calculations, we can see that the maximum value of Z occurs at point C: (25, 0).

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Answer:

8.25

Step-by-step explanation:

(-10,-7) (-8,1) find the distance between the two points show work.

The formula for calculating the distance between the two points is expresses as;

D = √(x2-x1)²+(y2-y1)²

D = √(-8+10)²+(1+7)²

D = √(2)²+8²

D = √4+64

D = √68

D = 8.25

Hence the distance between the two points is 8.25

The statement "When conducting a one sample hypothesis test of means or proportions, I am comparing the mean or proportion of a sample to a benchmark mean or proportion" is true.

When conducting a one sample hypothesis test, the goal is to determine whether the sample mean or proportion is significantly different from a known or hypothesized population mean or proportion. This known or hypothesized value serves as the benchmark for comparison, and the hypothesis test assesses the likelihood of obtaining the observed sample result under the assumption that the benchmark value is true.

The null hypothesis represents the assumption that there is no significant difference between the sample and the benchmark, and the alternative hypothesis represents the possibility that the sample result is statistically different from the benchmark. By comparing the sample to the benchmark, we can determine whether the sample provides evidence to reject or fail to reject the null hypothesis, and ultimately make inferences about the population based on the sample data.

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Answer:

total no. of rows in garden= 345 each row contains= 48 flowers

total no. of flowers in the garden= 345*48=16560

Answer:

16,560

Step-by-step explanation:

No of rows = 345

No. of flowers in each row = 48

Estimated no of flowers in the garden

= No of rows * No of flowers in each row

= 345*48

= 16,560

The distance between the two points. (-1, 6). (2.8) is 3.61 units

The points are given as: (-1,6) and (2,8)

The distance is calculated using:

\(d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}\)

This gives

\(d = \sqrt{(-1 -2)^2 + (6 -8)^2}\)

Evaluate the sum of squares

\(d = \sqrt{13}\)

Evaluate the exponent

d = 3.61

Hence, the distance between the two points. (-1, 6). (2.8) is 3.61 units

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Answer:

The probability is 1/36.

Step-by-step explanation:

2/3 are dog owners

1/6 are cat owners

1/6 are bird owners

If you choose two owners, there is a 1/6 chance that you will choose a cat owner and a 1/6 chance you will choose a bird owner. Each of these are independent, so you simply multiply 1/6 by 1/6.

1/6 * 1/6= 1/36

Answer:

The Properties of parallelogram are

a) Opposite sides are equal

b) All angles are not 90°

The Properties of trapezium are

a) One pair of opposite side is parallel

b) side of adjacent angle and non parallel side

of trapezium is 180°

The Properties of rhombus are

a) All sides are equal

b) All angles are not 90°

The correct statement is that F(x) < 0 over the intervals (-0.7, 0.76) and (2.5, ∞).

Value of subjective concept that refers to the word of important that an individual group of people places on the something it is often associated with principal beliefs and the standard that are accepted by society when you can be seen as a matter of how important something is true person of organization it is often seen as a reflection of funds for view and can help to save decision.

This can be seen by looking at the function's minimum and maximum values and its points of intersection with the x- and y-axes. The minimum value of (1.9, negative 5.7) is to the left of the x-axis, indicating that the function is negative over the interval (-0.7, 0.76). The maximum value of (0, 2) is above the x-axis, indicating that the function is negative over the interval (2.5, ∞).

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If the mean weight of 4 backfield members on the football team is 211lb and the mean weight of the 7 other players is 203lb, the mean weight of the 11-person team is 206lb.

The mean refers to the average of the data value.

The mean can be computed as the quotient of the total value divided by the number of items in the data set.

The mean weight of 4 backfield members on the football team = 211lb

The total weight of the 4 backfield members = 844lb (211 x 4)

mean weight of the 7 other players on the football team = 203lb

The total weight of the 7 other players = 1,421lb (203 x 7)

The total weight of the 11 football team members = 2,265lb (844 + 1,421)

The average or mean weight of the 11 members = 205.9lb (2,265 ÷ 11)

= 206lb

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Answer:

Each t-shirt costs about $9.46

Step-by-step explanation:

We can represent as the function

\(f(x)=28x+30\)

\(295=28x+30\)

\(265=28x\)

\(x=9.46\)

Answer:

That's the 9.46

Step-by-step explanation:

//////__/////////////_/////

Answer:

Step-by-step explanation:"To solve this equation, you can start by distributing the 0.20 and 0.30 terms. Then, you can simplify the equation by combining like terms. After that, you can isolate the variable Z on one side of the equation by adding or subtracting terms from both sides. Finally, you can solve for Z. The solution is Z = 1000. Does that help?"

Answer:

that's how you it first divide by 4 then by 6 then by 2 then 1

The square root of 21353641 by the division method is approximately 4621.

To find the square root of 21353641:

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gradient, in mathematics, a differential operator applied to a three-dimensional vector-valued function to yield a vector whose three components are the partial derivatives of the function with respect to its three variables. The symbol for gradient is ∇.

Electrical potential acting on an ion and driving it in one direction or another is the definition of an electrical gradient..

The migration of particles (solutes) from a region of higher concentration to a region of lower concentration, separated by a membrane, is referred to as a concentration gradient.

An ion can travel across a membrane depending on the concentration of a solute thanks to an electrochemical gradient, which combines an electrical gradient with a concentration gradient.

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The measure of ∠B = 50°.

We have two angles ∠A and ∠B which are supplementary to each other.

Two angles are said to be supplementary if their sum is equal to 180°.

Mathematically -   x + y = 180°

According to the question -

∠A = (5x + 30)° and

∠B= (x +30)°,

Now, ∠A and ∠B are supplementary angles. Therefore -

∠A + ∠B = 180°

(5x+30)+(x+30) = 180

5x+30+x+30=180

6x+60=180

6x=180-60

6x = 120

x = 120/6

x = 20

Now measure of ∠B = x+30

∠B = 20+30

∠B = 50°

and ∠A = 5x+30

∠A = 5(20)+30

∠A = 100+30

∠A = 130°

Hence we get the measure of the ∠A and ∠B as 130° and 50°

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Answer:

16968

Step-by-step explanation:

Answer:

16,968

Hope this helps :)

Answer:

A-a product that assists a person in breaking a tobacco habit

Step-by-step explanation:

Answer:

a product that assists a person in breaking a tobacco habit

Step-by-step explanation:

Answer:

3,850

Step-by-step explanation:

have a good day!!

To determine the graphed on the axes below as a piecewise function

The equation of line using two-point form will be

Thus for each of the line the range of values are

Answer:

93.75 pounds

Step-by-step explanation:

Set up a proportion where x is the weight of a person on Earth:

\(\frac{200}{32}\) = \(\frac{x}{15}\)

Cross multiply and solve for x

32x = 3000

x = 93.75

So, the person would weigh 93.75 pounds on Earth

On Earth, a person weighing 93.75 pounds would weigh around 15 pounds on the moon.

A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other.

If a person who weighs 200 pounds on Earth would weigh about 32 pounds on the moon, we can set up the following proportion to find the weight of a person on Earth who would weigh 15 pounds on the moon:

200 pounds : 32 pounds = x pounds : 15 pounds

200 pounds / 32 pounds = x pounds / 15 pounds

⇒ 200/32 = x/15

Apply the Cross-multiplication operation, we get:

⇒ 200 × 15 = 32 × x

Solving for x, we get:

⇒ x = (200 × 15) / 32

⇒ x = 3000/32

Apply the division operation

⇒ x = 93.75 pounds

Therefore, a person who weighs 93.75 pounds on Earth would weigh about 15 pounds on the moon.

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Answer: Parallel and same slope

Step-by-step explanation: Parallel means that the lines will never cross, which is shown in the picture. Basically they won't intersect.

branliest plssss :)

If repetitions of colors are allowed, there are 59,049 possible selections of collars for the 5 cats.

If Dave can choose from 9 different colors for each of his 5 cats, then he has 9 choices for the first cat, 9 for the second cat, and so on. To find the total number of possible selections, we can multiply the number of choices for each cat together:

9 x 9 x 9 x 9 x 9 = 59,049

In this case, there are 9 ways to choose the collar color for the first cat. Since Dave can choose from the same 9 colors for each of the 5 cats, so he has 9 choices for each cat. Therefore, by the principle of counting, the total number of ways to choose collars for all 5 cats is:

Therefore, if repetitions of colors are allowed, there are 59,049 possible selections of collars for the 5 cats.

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The z-score of an appliance that failed after 64 months is 2.

To find the z-score:

The given parameters are:

The z-score is then computed as follows:

We have the following for an appliance that stopped working after 64 months:

So, the equation becomes:

Compare and contrast the differences:

Calculate the quotient:

Therefore, the z-score of an appliance that failed after 64 months is 2.

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Susie should report $0 gross income on her tax return.

The true statement is (c) In 2021, the deduction for medical expenses cannot exceed a ceiling calculated as 10% of AGI for a taxpayer age 65 years or older.

For the first question about Susie's gross income, the discount she received on the landscaping services does not count as gross income.

The correct answer is (a) $0.

For the second question, to calculate the modified adjusted gross income (MAGI) of $37,600, we need more information about the taxpayer's specific deductions, exemptions, and adjustments.

Without that information, it is not possible to determine the exact amount of gross income.

Therefore, the answer cannot be determined from the given information.

Moving to the next question, the correct statement is (c) In 2021, the deduction for medical expenses cannot exceed a ceiling calculated as 10% of AGI for a taxpayer age 65 years or older.

This means that medical expenses for taxpayers under the age of 65 cannot exceed 7.5% of their AGI for 2021.

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Let's break this problem down step by step.

First, we can work out the weight of one white ball by subtracting the weight of 6 white and 3 orange balls (20 pounds) from the weight of 2 white and 5 orange balls (8 pounds):

Weight of 1 white ball = 8 - 20 = -12

Next, we can work out the weight of one orange ball by subtracting the weight of 2 white and 5 orange balls (8 pounds) from the weight of 6 white and 3 orange balls (20 pounds):

Weight of 1 orange ball = 20 - 8 = 12

Now that we know how much one white and one orange ball weigh, we can work out the weight of 4 white and 4 orange balls together:

Weight of 4 white and 4 orange balls = (4 x -12) + (4 x 12) = 0

Therefore, the weight of 4 white and 4 orange balls together is 0 pounds.

By solving two given simultaneous equations using algebra, we find that the combined weight of 4 white balls and 4 orange balls is 16 pounds.

The subject matter of this question pertains to simultaneous equations. The equations in question are, 2w + 5o = 8 and 6w + 3o = 20, where w stands for the weight of a white ball and o stands for the weight of an orange ball. We can solve these equations to find the individual weights of these balls. After finding these values, we substitute these into a new equation, 4w + 4o, to find the total weight of 4 white and 4 orange balls together. By solving these equations, we find that the weight of 4 white balls and 4 orange balls together is 16 pounds.

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Answer: Raquel

Step-by-step explanation: If you’re reflecting then obviously it’s going to be in a new spot because it flips to somewhere new

Two steps that will complete the list correctly are:

4. The original measurement should be multiplied by the conversion factors.

5. Verify that it makes sense.

A conversion factor can be used to switch from one set of units to another by multiplying or dividing a number. When a conversion is necessary, the appropriate conversion factor to an equivalent value must be applied.

Let's use an example of converting from inches to centimeters to address this query.

10 inches should be converted to cm.

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The class midpoint for the class 235.0-265.9 is 250.45.

The class midpoint for the class 235.0-265.9 in the frequency distribution can be determined by finding the average of the lower class limit and the upper class limit.

In this case, the lower class limit is 235.0 and the upper class limit is 265.9. To find the class midpoint, we add the lower class limit and the upper class limit and then divide the sum by 2.

Class midpoint = (lower class limit + upper class limit) / 2

For the class 235.0-265.9:

Class midpoint = (235.0 + 265.9) / 2

Class midpoint = 500.9 / 2

Class midpoint = 250.45

Therefore, the class midpoint for the class 235.0-265.9 is 250.45.

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1. c = -2/3

2. P(Y > k) = -2/3 * (3 / (-2)) = 1

3.  P(Z > k) = 1 * 1 = 1.

4. The probability mass function of Z is a constant function equal to 1 for all values of k.

(i) To find the value of c, we need to calculate the normalizing constant that ensures the sum of probabilities equals 1 for the probability mass function of Y.

We know that for k ≥ 2, P(Y = k) = c * (3).

To find the value of c, we sum up the probabilities for k = 2, 3, ...

∑P(Y = k) = ∑[c * (3)] = c * ∑(3) = c * (3 + 3 + ...)

Since Y is a discrete random variable, the sum ∑(3) is an infinite geometric series with a common ratio of 3 and the first term 3.

Using the formula for the sum of an infinite geometric series, we have:

∑(3) = 3 / (1 - 3) = 3 / (-2) = -1.5

Therefore, we have:

c * (-1.5) = 1

Solving for c, we get:

c = -2/3

(ii) To find P(X > k), we sum up the probabilities of X being greater than k:

P(X > k) = P(X = k+1) + P(X = k+2) + ...

Using the given probability mass function for X, we have:

P(X > k) = [()(k+1) + ()(k+2) + ...]

Simplifying, we get:

P(X > k) = [(k+1)* + (k+2)* + ...]

Similarly, for P(Y > k), we have:

P(Y > k) = ∑[c*(3)] from k+1 to infinity

P(Y > k) = c * ∑(3) from k+1 to infinity

Using the same infinite geometric series formula, we get:

P(Y > k) = c * (3 / (1 - 3)) from k+1 to infinity

P(Y > k) = -2/3 * (3 / (-2)) = 1

(iii) To find P(Z > k), we can consider the minimum of X and Y.

Since X and Y are independent, we have:

P(Z > k) = P(X > k) * P(Y > k)

From the previous calculations, we know that P(X > k) = P(Y > k) = 1.

Therefore, P(Z > k) = 1 * 1 = 1.

(iv) The probability mass function of Z is given by:

P(Z = k) = P(X > k) * P(Y > k) = 1 * 1 = 1

So, the probability mass function of Z is 1 for all values of k.

In summary, the probability mass function of Z is a constant function equal to 1 for all values of k.

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The answer is -2.461. To find the average value of a function f(x) over a closed interval [a, b], we use the following formula:

avg(f) = (1/(b-a)) * integral(a to b) f(x) dx

In this case, we have:

f(x) = 3xsin(x), a = 1, b = 7

So the average value of f on the interval [1, 7] is:

avg(f) = (1/(7-1)) * integral(1 to 7) 3xsin(x) dx

= (1/6) * [-3xcos(x) + 3sin(x)] from 1 to 7

= (1/6) * [-21cos(7) + 21sin(7) + 3cos(1) - 3sin(1)]

Using a calculator to evaluate, we get:

avg(f) ≈ -2.461

Therefore, the answer is -2.461

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