Please help me cool smart people

What is the length of side CD?
(EXPLAIN)

Answer:

x =  17.32 units

Step-by-step explanation:

In a right triangle tan (angle) = opposite leg / adjacent leg...

  for this triangle   tan 27° = 34 / x

      then x = 34 tan 27° = 17.32 units

1. Objective Function and Constraints:

Maximize 2x1 + 3x2 + 5x3 subject to x1 + x2 + x3 ≤ 1500, x1 + x2 ≤ 1100, x2 ≤ 800, x3 ≤ 400.

2. Using Excel Solver, find the optimal allocation of funds.

3. The maximum value of the objective function is reported by Excel Solver.

We have,

Objective Function and Constraints:

Let:

x1 = amount spent on food

x2 = amount spent on shelter

x3 = amount spent on entertainment

Objective Function:

Maximize: 2x1 + 3x2 + 5x3 (since each dollar spent on food has a satisfaction value of 2, each dollar spent on shelter has a satisfaction value of 3, and each dollar spent on entertainment has a satisfaction value of 5)

Constraints:

Subject to:

x1 + x2 + x3 ≤ $1,500 (maximum disposable income)

x1 + x2 ≤ $1,100 (amount spent on food and shelter combined must not exceed $1,100)

x2 ≤ $800 (amount spent on shelter alone must not exceed $800)

x3 ≤ $400 (entertainment cannot exceed $400)

Using Excel Solver:

In Excel, set up a spreadsheet with the following columns:

Column A: Variable names (x1, x2, x3)

Column B: Objective function coefficients (2, 3, 5)

Column C: Constraints coefficients (1, 1, 1) for the first constraint (maximum disposable income)

Column D: Constraints coefficients (1, 1, 0) for the second constraint (amount spent on food and shelter combined)

Column E: Constraints coefficients (0, 1, 0) for the third constraint (amount spent on shelter alone)

Column F: Constraints coefficients (0, 0, 1) for the fourth constraint (entertainment limit)

Column G: Right-hand side values ($1,500, $1,100, $800, $400)

Apply the Excel Solver tool with the objective function and constraints to find the optimal allocation of funds.

Once the Excel Solver completes, it will report the maximum value of the objective function, which represents the optimal satisfaction value achieved within the given budget constraints.

Thus,

Objective Function and Constraints: Maximize 2x1 + 3x2 + 5x3 subject to x1 + x2 + x3 ≤ 1500, x1 + x2 ≤ 1100, x2 ≤ 800, x3 ≤ 400.

Using Excel Solver, find the optimal allocation of funds.

The maximum value of the objective function is reported by Excel Solver.

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Answer:

Step-by-step explanation:

You have to divide both sides by the number that's multiplying x. A general example is:

To solve we have to divide both sides by a:

Answer:

multiple of 4 : 8, 12

not a multiple of 4 : 2 , 18

prime : 3, 11

not prime : 9, 15

Step-by-step explanation:

First you need to know even number.

even number is (2,8,12,18 )

next odd number (3,9,11,15)

after that find number that is multiple of 4.

multiple of 4 is 4, 8,12,16,20,24,28 and so on

so its the number of multiple of 4 is ( 8 and 12)

and the number that is not a multiple of 4 is (2,18)

next odd number, odd number is ( 3,9,11,15)

next you should know prime number,

prime number is 3, 5,7,11,13,17,19 .....

so the answer for prime number for odd number is

( 3 and 11)

next is not prime number (9 and 15)

Answer:

I believe the answer is C. I'd have to work this out on paper to be certain, but from what i worked out mentally, i got C. lol

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

It explains all ways he can learn for each topic

Gt= Graph and text

Gv= Graph and vid

(same pattern with the rest)

and at the end

T/V= both text and video

In a sequence where the 12th term is 16 and the 80th term is -120, the 1st term is 48 and the 101st term is -152.

The sequence follows a pattern where each subsequent term is obtained by subtracting a fixed value from the previous term.

To find the 1st term, we need to determine the difference between the 12th and 80th terms. The difference is calculated as (-120) - 16 = -136. Since the terms are evenly spaced, we divide the difference by the number of terms between them: -136 / (80 - 12) = -136 / 68 = -2.

Now that we know the common difference is -2, we can find the 1st term by subtracting the difference from the 12th term: 16 - (-2 * 11) = 16 + 22 = 48.

To find the 101st term, we use the same common difference: 48 + (-2 * 89) = 48 - 178 = -130.

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Answer:

Divide sparkys weight by 7 and theres your answer for solo

Step-by-step explanation: not enough info to get the number

Answer:

x = 6

Step-by-step explanation:

In order to find the value of x, first we need to prove the triangles PQS and RQS as congruent. Let us do it.

\( In\: \triangle PQS \:\& \:\triangle RQS\\\\

PS \cong SR.... (given) \\\\

\angle PSQ \cong\angle RQS... (\because QS\perp PR) \\\\

QS \cong QS... (Common \: side) \\\\

\therefore \triangle PQS \cong \triangle RQS.. (SAS \: Postulate) \\\\

\therefore PQ = QR... (BY\:CSCT) \\\\

\therefore 2x + 15 = 5x - 3\\\\

\therefore 2x - 5x = - 3 - 15\\\\

\therefore - 3x = - 18\\\\

\therefore x =\frac{-18}{-3}\\\\

\huge \red {\boxed {\therefore x = 6}} \)

Answer:
Cluster : 60,61,62,63
Gaps: 64,65 , 69,70
Outlier: 71
This is what I learned so don't blame me please!

Step-by-step explanation:

Cluster is numbers all on one side. Outlier can be the largest number or lowest. Normally the alone one.

2 will be the output of the following code snippet.

What is a snippet in coding?

What does a code snippet look like?

The output will be 2 because when two integers are divided in Java, the decimal portion is always truncated.

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The complete question is -

The following snippet of code would produce what outcome? public static void main(String 2 [] args) { int day = 5; switch (day) { case 1: System.out.println("Monday "); case 2: System.out.println("Tuesday "); case 3: System.out.println("Wednesday "); case 4: System.out.println("Thursday "); case 5: System.out.println("Friday "); case 6: System.out.println("Saturday "); case 7: System.out.println("Sunday "); break; default: System.out.println("Invalid Day "); } } Invalid Day Friday Saturday Sunday Invalid Day Friday Friday Saturday Sunday What will be the output of the following code: int x = 20; int y = 40; if (x > 10) { if (y > 50) { System.out.println("Hello, Friend."); } else { System.out.println("Goodbye, Friend."); } } else { if (y > 50) { System.out.println("Hello, Enemy:"); } else { System.out.println("Goodbye, Enemy."); } } Hello, Friend. Hello, Enemy. Goodbye, Friend. Goodbye, Enemy.

Answer:

The answer is (-3,7/2)

Step-by-step explanation:

\(2 {x}^{2} - x - 21 = 0 \\ (2x - 7)(x + 3) = 0 \\ 2x - 7 = 0 \: \: \: or \: \: x + 3 = 0 \\ x = \frac{7}{2} \: \: and \: x = - 3\)

I am a math teacher If you need any explanation you can communicate with me on Whats on this number +201557831028

Those activities that enable a person to describe in the detail the system that solves the need is called "System design".

The method of defining the components of a system consists, modules, and components, the various interfaces of those components, and the data that flows through that system is known as system design.

Some key features regarding the system design are-

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Based on the given table, the profit-maximizing level of output for company Econislife is 4 units. At this quantity, the company's profit is $40.

To determine the profit-maximizing level of output, we need to analyze the relationship between total revenue (TR) and total costs (TC) for different quantities of output. The profit can be calculated as the difference between total revenue and total costs.

Looking at the table, we can see that as the quantity increases from 1 to 5, both total revenue and total costs increase. However, at a certain point, the increase in total costs outpaces the increase in total revenue, leading to a decrease in profit.

To find the profit-maximizing level of output, we compare the profits at different quantities.

Quantity 1: TR = $28, TC = $40, Profit = TR - TC = $28 - $40 = -$12

Quantity 2: TR = $56, TC = $45, Profit = TR - TC = $56 - $45 = $11

Quantity 3: TR = $84, TC = $55, Profit = TR - TC = $84 - $55 = $29

Quantity 4: TR = $112, TC = $72, Profit = TR - TC = $112 - $72 = $40

Quantity 5: TR = $140, TC = $120, Profit = TR - TC = $140 - $120 = $20

From the above calculations, it is evident that the profit is highest at Quantity 4. Therefore, the profit-maximizing level of output for company Econislife is 4 units. At this quantity, the company's profit is $40.

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The value of the 10% trimmed mean is approximately 1.3027. To calculate the 10% trimmed mean, we need to trim off the lowest and highest 10% of the data and then find the mean of the remaining values.

First, let's sort the data in ascending order:

0.2, 0.21, 0.26, 0.3, 0.33, 0.41, 0.54, 0.57, 1.41, 1.7, 1.84, 2.2, 2.26, 3.06, 3.24

Next, we calculate the number of values to trim from each end:

10% of 15 (total number of values) = 0.1 * 15 = 1.5

Since we can't remove half a value, we round up to the nearest whole number, which is 2.

Now, we remove the two lowest and two highest values:

0.26, 0.3, 0.33, 0.41, 0.54, 0.57, 1.41, 1.7, 1.84, 2.2, 2.26

Finally, we calculate the mean of the remaining values:

(0.26 + 0.3 + 0.33 + 0.41 + 0.54 + 0.57 + 1.41 + 1.7 + 1.84 + 2.2 + 2.26) / 11 = 14.33 / 11 ≈ 1.3027

Rounding to four decimal places, the value of the 10% trimmed mean is approximately 1.3027.

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Answer: 30%

Step-by-step explanation:

To determine the appropriate warranty period for the Cook-Easy steamer, we need to use the concept of reliability engineering. The mean time before failure (MTBF) of 3535 months indicates that, on average, the steamer will operate without failure for 3535 months.

The standard deviation of 33 months tells us how much the actual failure times may deviate from the mean. To calculate the warranty period, we need to determine the failure rate of the steamer. This can be done by dividing 1 by the MTBF, which gives us a failure rate of 0.000282 failures per month.

To ensure that the manufacturer does not have more than 10% of the steamers returned, we need to calculate the proportion of steamers that will fail within the warranty period. This can be done using the normal distribution with a mean of 3535 months and a standard deviation of 33 months. We can use a z-score of 1.28 (corresponding to the 90th percentile) to find the corresponding failure time, which is 3600 months (rounded up).

Therefore, the manufacturer should offer a warranty period of 65 months (rounded up) to ensure that no more than 10% of the steamers are returned. This means that if the steamer fails within the warranty period, the manufacturer will repair or replace it free of charge.

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Answer:

-3y = -8 then you get your answer from that

Step-by-step explanation:

-3y = -8

The focus point of the parabola defined by the equation (x + 1/2)² = 20(y - 5) is located at (-1/2, 10).

To find the focus point of the parabola defined by the equation (x + 1/2)² = 20(y - 5), we can compare it to the standard form of a parabola:

(x - h)² = 4p(y - k).

In the standard form, (h, k) represents the vertex of the parabola, and p represents the distance from the vertex to the focus.

Comparing the given equation to the standard form, we can identify that h = -1/2 and k = 5.

This means the vertex of the parabola is at the point (-1/2, 5).

Next, we need to determine the value of p, which represents the distance from the vertex to the focus.

In the standard form, 4p is equal to the coefficient of (y - k).

The coefficient is 20, so we have 4p = 20. Solving for p, we divide both sides by 4, giving us p = 5.

Since p represents the distance from the vertex to the focus, and p is equal to 5, we can conclude that the focus point of the parabola is located 5 units above the vertex.

Starting from the vertex (-1/2, 5), we move vertically upward by 5 units to find the focus point, which is at (-1/2, 10).

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The area A of the rectangle as a function of the length, L of one of its sides is A = 8L - L²

The perimeter of a rectangle is P = 2(L + W) where

Given that P = 16 m,

P = 2(L + W)

16 = 2(L + W)

16/2 = L + W

L + W = 8

So, W = 8 - L

The area of the rectangle, A = LW where

Since W = 8 - L, substituting W into the equation for A, we have

A = LW

A = L(8 - L)

A = 8L - L²

So, the area A of the rectangle as a function of the length, L of one of its sides is A = 8L - L²

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The cost price of the torch is Rs 119.

Given that the torch's retail price is Rs 199.

80 rupees was made from the torch.

We need to determine the torch's cost.

Let the torch's purchase price be equal to x.

We may use the calculation to get the torch's cost;

Profit = Selling price - Cost price

Or, cost price = selling price - profit

We may get the cost price of the torch by substituting the values of selling price and profit.

x = Rs 199 - Rs 80

x = Rs 119

Therefore, the cost price of the torch is Rs 119.

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The correct statement is: double d = 123456789

In the given statements:

1. int i = 3.0; - This is incorrect because a decimal value (3.0) cannot be assigned directly to an integer variable. It should be assigned to a floating-point type variable instead.

2. float f = 4.5; - This is correct as a floating-point value (4.5) can be assigned to a float variable.

3. byte b = 123456789; - This is incorrect because the value 123456789 is outside the range of a byte (-128 to 127). It should be assigned to a data type with a larger range, such as into or long.

4. double d = 123456789; - This is correct as the value 123456789 can be assigned to a double variable.

5. boolean b = 1; - This is incorrect because the value 1 cannot be directly assigned to a boolean variable. It should be assigned with either true or false.

Among the given statements, the correct one is "double d = 123456789;", as it assigns the value 123456789 to a double variable.

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The fomula is y=mx+b

The number before x is the slope! Rise over run.

The + __ number is the y-intersect. use this number to place a point on the Y line.

Answer:

She factored out a 4 from the equation.

Step-by-step explanation:

So our original equation is 12x + 4 = 20x - 12

Anika's first steep of her equation is 3x + 1 = 5x - 3

We know that the terms were not moved around, so the first step was likely multiplication or division.

We also see that a 4 has been factored out of the entire equation, like this:

12x + 4 = 20x - 12

4(3x + 4) = 4(5x - 3)

And these 4's cancel each other out.

So, I conclude that Anika's first step was dividing the entire equation by 4 or factoring out a 4 from the equation.

=======================================================

Explanation:

The given equation y = (-2/3)x+1 is in the form y = mx+b

m = -2/3 is our slope

b = 1 is the y intercept

The y intercept is where the line crosses the vertical y axis. Because b = 1, this location is (0,1). So that's one point we can use to graph this equation.

Another point can be found using the slope

Recall that slope = rise/run

Since slope = -2/3, this means rise/run = -2/3 leading to rise = -2 and run = 3. The "rise = -2" portion tells us to go down 2 and then "run = 3" portion means we go to the right 3 units.

The "down 2, right 3" motion has us go from (0,1) to (3,-1). So (3,-1) is another point we can use. We only need two points to graph a straight line.

The diagram below provides a visual summary. It shows plotting point A as the y intercept, and then you move to point B using the "down 2, right 3" movement rule.

Answer:

Step-by-step explanation:

Answer:

4xy(3a+2b+1)

Step-by-step explanation:

1)  Find the Greatest Common Factor (GCF).

1 - What is the largest number that divides evenly into 12axy, 8bxy and 4xy?

It is 4.

2 -  What is the highest degree of \(a\)  that divides evenly into 12axy, 8bxy and 4xy?

It is 1, since a is not in every term.

3 -  What is the highest degree of \(x\) that divides evenly into 12axy, 8bxy and 4xy?

It is x.

4 - What is the highest degree of \(y\)  that divides evenly into  12axy, 8bxy and 4xy?

It is y.

5 -  What is the highest degree of \(b\) that divides evenly into 12axy, 8bxy and 4xy?

It is 1, since \(b\) is not in every term.

6 - Multiplying the results above,

GCF = 4xy

2)  Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

\(4xy(\frac{12axy}{4xy} +\frac{8bxy}{4xy} +\frac{4xy}{4xy} )\)

3) Simplify each term in parentheses.

\(4xy(3a+2b+1)\)

the chance that the weight of a product is between 115 LB and 118 LB is approximately 0.1207, or 12.07%.

To find the probability that the weight of a product is between 115 LB and 118 LB, we can use the properties of the normal distribution.

Given that the weight of products follows a normal distribution with a mean (µ) of 120 LB and a standard deviation (σ) of 30 LB, we can standardize the values of 115 LB and 118 LB using the z-score formula:

z = (x - µ) / σ

For 115 LB:

z1 = (115 - 120) / 30 = -0.1667

For 118 LB:

z2 = (118 - 120) / 30 = -0.0667

Next, we can use a standard normal distribution table or a calculator to find the corresponding probabilities for these z-values.

Using a standard normal distribution table, the probability of having a z-value between -0.1667 and -0.0667 is approximately 0.1207.

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The algebraic expressions are;

5x⁴ + √4x

9x⁴ - x³ - x/5

2x⁴ - 6x⁴ - 1

Options A, C and D

First, we need to know the polynomials are defined as algebraic expressions having their degree greater than one.

Also, we need to know that a polynomial's degree is the highest or the greatest power of a variable in a polynomial equation.

The degree of a polynomial is defined as the highest power of the variable of its individual terms

From the information given, we have;

5x⁴ + √4x

9x⁴ - x³ - x/5

2x⁴ - 6x⁴ - 1

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Answer:

Step-by-step explanation:

a kilogram

kilo in math means thousand.

A gram is 1 metric unit of a kilogram alone, so,

\(1 * 1000 = 1kilogram\)

Your answer is kilogram.

Hope this helps! Have a great day. ♣