simplity (-w^3/6)^-2 Write your answer using only positive exponents.

Therefore, the area that the carpet needs to cover is: LW - 18 square feet.

Area is a mathematical term that refers to the amount of space occupied by a two-dimensional object or shape. It is typically measured in square units such as square feet, square meters, or square inches.

Here,

If the tiled floor is excluded from the area that needs to be covered by the carpet, then we need to find the area of the living room without the tiled floor and add the tiled floor's area to it.

Let's assume that the living room is a rectangular shape with length L and width W.

The area of the living room without the tiled floor is:

Area = L x W - (6 x 3) (since the tiled floor has an area of 6 ft x 3 ft)

Area = LW - 18 square feet

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Answer: 7x - 7y + 21

Step-by-step explanation:

7( x - y + 3) = 7x - 7y + 21

Answer:21

Step-by-step explanation:

5x=180-75

5x=105

x=105/5

x=21

Answer: (-3,-2)

Step-by-step explanation:

y²+2y+11 = 5-3y

y^2+2y+11-5+3y =0

y^2+5y+6=0

y^2+3y+2y+6=0

y(y+3)+2(y+3)=0

(y+3)(y+2)=0

y= -3, -2

All you do is plug in the x value to the equation

Hope it helps:)

The answer of the Question EJERCICIO DE ECUACIONES (A) x con 2 (B) x con 1 (C) x con 5 (D) x con 2 (E) x con 4

4 + 6x - 12 - 2x
= (6x - 2x) + (4 - 12)
= 4x - 8
Comprobación:
Reemplazamos x con 2:
4 + 6(2) - 12 - 2(2) = 8

B) 8x + x + x = 10
= 10x = 10
= x = 1
Comprobación:
Reemplazamos x con 1:
8(1) + 1 + 1 = 10

C) 2x - 16 - 4
= 2x - 20
Comprobación:
Reemplazamos x con 5:
2(5) - 16 - 4 = 6

D) 5x - 8 = 12 - 5x
= 10x = 20
= x = 2
Comprobación:
Reemplazamos x con 2:
5(2) - 8 = 12 - 5(2)

E) 12 + 4x + 8 = 36
= 4x = 16
= x = 4
Comprobación:
Reemplazamos x con 4:
12 + 4(4) + 8 = 36

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The total interest earned on a savings bond over 24 quarters with a principal investment of $37,000 and an interest rate of 1.125% per quarter, the savings bond has earned a total interest of $9,990.

The savings bond earns 1.125%/quarter, so its quarterly interest rate is 0.01125. The amount of interest earned in one quarter is the product of the interest rate and the principal amount, which is:

To calculate the interest earned in one quarter, we multiply the principal amount by the interest rate expressed as a decimal.

Interest earned in one quarter = 0.01125 x $37,000 = $416.25

In this case, the interest earned in one quarter is $416.25.

To find the total interest earned over 24 quarters, we multiply the interest earned in one quarter by the number of quarters, which is 24.

After 24 quarters, the total interest earned is:

Total interest earned = 24 x $416.25 = $9,990

Therefore, the savings bond has earned a total interest of $9,990 after 24 quarters.

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If there are 14 people in a club organizing a spaghetti dinner, there can be 364 ways to select 3 people to be ticket takers.

A combination is a selection of things taken from a larger group, where the order in which things are selected is unimportant. A combination is distinct from a permutation, which is a method of organizing objects in which order matters. A combination is a method of selecting things in which order does not matter. In general, the combination formula can be used to determine the number of possible combinations that exist for a given set of things.

Suppose we have to select 3 people out of 14 people. The number of possible combinations can be found using the combination formula, which is given byC(n,r) = n!/(n-r)!r!where n is the total number of objects, and r is the number of objects selected.C(14,3) = 14!/(14-3)!3!C(14,3) = (14 × 13 × 12)/(3 × 2 × 1)C(14,3) = 364Therefore, there are 364 ways to select 3 people to be ticket takers from a group of 14 people.

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Option C, The greatest common factor of −20x³y − 8[tex]xy^4[/tex] + 4xy³ is 4xy by simplifying expressions and solving equations.

To find the greatest common factor (GCF) of the given terms, we need to factor out any common terms that they share.

First, we can factor out 4xy from each term:

−20x³y − 8[tex]xy^4[/tex] + 4xy³ = 4xy(-5x² - 2y³ + y)

Now we need to check if any further common factors can be factored out from the remaining expression (-5x² - 2y³ + y). However, there are no other factors that can be factored out from this expression.

As it enables us to factor out frequent terms and reduce the expression to its most basic form, the GCF is beneficial for simplifying expressions and solving equations.

Therefore, the GCF of the original terms is 4xy, option (c).

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Answer:

4xy

Step-by-step explanation:

I did the test and got it right !

It is the greatest common factor of 20, 8, and 4. And we add the “xy”.

Yuri will spend $ X more on concrete than on soil and wood.

When answering questions on Brainly, it is important to be factually accurate, concise, and professional.

It is also important to provide a step-by-step explanation of how you arrived at your answer.

The question is asking about the cost of materials for a patio, garden, and deck.

Let's break down the information we have.

Area of the patio = enter your response

Here

Cost of concrete = $ enter your response

Here

Area of the garden = enter your response

here

Cost of soil = $ enter your response

here

Total area of the deck = enter your response

here

Cost of wood = $ enter your response

here

Yuri will spend $ enter your response here more on concrete than on soil and wood.

To find the cost of each material, we need to multiply the area by the cost per unit area.

For example, the cost of concrete would be the area of the patio multiplied by the cost of concrete per unit area.

Let's call the cost per unit area for concrete C, the cost per unit area for soil S, and the cost per unit area for wood W.

Area of patio = P

Cost of concrete = C

Area of garden = G

Cost of soil = S

Total area of deck = D

Cost of wood = W

Yuri will spend X more on concrete than on soil and wood.

To find the values of P, C, G, S, D, and W, we need to use the information given in the question.

However, some values are missing.

We can use the given information to create equations that will help us find these values.

For example, we know that the total area of the deck is the sum of the area of the patio and the area of the garden, so we can write:

D = P + G

Similarly, we can write an equation for the cost of each material.

For example, the cost of concrete is the area of the patio multiplied by the cost per unit area for concrete, so we can write:

C = P * C

Similarly, we can write equations for the cost of soil and wood:

S = G * W, W = D * W

Now we have three equations and three unknowns: P, G, and D. We can solve this system of equations to find these values.

Let's solve for P and G first.

We'll use the equation

D = P + G

to eliminate G from the equations.

C = P * CS = G * WP = D - G

Substitute P = D - G into the first two equations.

C = (D - G) * CW = D * W - G * W

Now we have two equations and two unknowns: D and G.

We can solve for these values.

We'll use the equation

W = D * W - G * W

to eliminate W from the equations.

C = (D - G) * CS = G * SD = P + G = 2G - (W / C)

Substitute D = P + G into the first two equations.

C = P * C + G * CS = G * SW = P + G - DC = P * C + (D - P) * C + (W / C) * C = 2P * C + W

We can now solve for P, G, and D.

P = (C + S + W / C) / 2G = (S + W / C) / 2D = P + G = (C + S + W / C) / 2 + (S + W / C) / 2P = enter your response

here

C = enter your response

here

S = enter your response

here

W = enter your response

here

G = enter your response

here

D = enter your response

here

Now we can find the value of X, which is the difference between the cost of concrete and the combined cost of soil and wood.

X = C - (S + W)X = enter your response.

The area of the patio is enter your response here ​, so the cost of concrete is ​$ enter your response here. The area of the garden is enter your response here ​, so the cost of soil is ​$ enter your response here. The total area of the deck is enter your response here ​, so the cost of wood is ​$ enter your response here.

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Question:

Yuri bought a new house. The diagram shows the layout of his backyard. Yuri is designing improvements that he wants to make. Yuri plans to fill the patio with concrete, the garden with a special soil mixture, and the remaining areas that surround the hot tub with a wood deck. The table shows the costs associated with each project. How much more will Yuri spend on concrete than on soil and wood?

The equation given as |x-1| + |x-2| = -3 has no solution while the solutions of |x-1| + |x-2| = 3 are x = 0 and x = 3

Given that

|x-1| + |x-2| = -3

The above equation has the sum of absolute expressions

As a general rule, the sum of absolute expressions is always positive

The solution -3 is negative

So, the equation has no solution

On the other hand, we have

|x-1| + |x-2| = 3

Assume x = 0, we have

|0-1| + |0-2| = 3

1 + 2 = 3 --- true

Assume x = 3, we have

|3-1| + |3-2| = 3

2 + 1 = 3 --- true

Hence, the solutions of |x-1| + |x-2| = 3 are x = 0 and x = 3

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Answer:

under quadratic equation of fatorisation

If a ball is drawn randomly from a jar that contains 8 red balls, 3 white balls, and 6 yellow balls, the probability of drawing a red ball from the jar is approximately 0.47 or 47%.

The probability of a red ball being drawn from the jar can be calculated as follows:

Total number of balls in the jar = 8 red + 3 white + 6 yellow = 17

Probability of drawing a red ball = (Number of red balls in the jar) / (Total number of balls in the jar) = 8/17 ≈ 0.47

This means that if we were to draw a ball from the jar randomly, there is a 47% chance that the ball we draw will be red.

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Complete question is:

A ball is drawn randomly from a jar that contains 8 red balls, 3 white balls, and 6 yellow balls. find the probability of the given event.

What is what is the probability of a Red ball being drawn?

Here, we will use the method of steepest descent to find the minimiser of the function f(x1, x2, x3). The steepest descent method is an iterative optimization algorithm used to find the local minimum of a function.

Step 1: Initialize the starting point (x1, x2, x3) and set the initial values.
Step 2: Compute the gradient of the function f(x1, x2, x3) with respect to each variable (x1, x2, x3). The gradient is a vector that points in the direction of the steepest increase of the function.
Step 3: Calculate the step size, which determines how far along the descent direction we move. This can be done using various techniques, such as line search or a constant step size.
Step 4: Update the current point by moving in the direction of the negative gradient (steepest descent direction) with the computed step size. The new point will be (x1_new, x2_new, x3_new).
Step 5: Check the convergence criteria. If the change in the function value or the variables is below a certain threshold, stop the iteration process. Otherwise, return to Step 2 with the updated point.
By following these steps, the method of steepest descent will help us find the minimizer of the function f(x1, x2, x3).

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Answer:

1.45 pounds

Step-by-step explanation:

6.6 divided by 4

It sounds like you may be experiencing a bug with your Alexa device. This is likely due to a software update or miscommunication between the device and the server.

To resolve this issue, you may need to restart your device by unplugging it from the power source and plugging it back in. You can also try clearing the cache of your device. Additionally, you may need to update the software of your device by visiting the Amazon website and downloading the most recent version of the software. If the issue persists, you may need to contact Amazon customer service for further assistance.

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If the class has 50 students, and 10 of them are math majors There are a total of 50! (50 factorial) ways to line up the 50 students.

          To ensure that all the 10 math majors are in the front half of the line, the first 10 positions in the line must be filled by the math majors, leaving 40 positions in the second half to be filled by the remaining 40 students.

       Thus, there are 10! (10 factorial) ways to fill the first 10 positions and 40! (40 factorial) ways to fill the second half.

       Therefore, the total number of ways to line up the students so that all the math majors are in the front half of the line is

          10! × 40! = 30,240,000.

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Answer:

[tex]\frac{25}{11}[/tex]

Step-by-step explanation:

an improper fraction is one where the value on the numerator is larger than the value on the denominator.

2 [tex]\frac{3}{11}[/tex] is a mixed number, that is a whole number and a fraction

this can be converted to an improper fraction by summing the 2 parts , that is the whole number and the proper fraction as

2 + [tex]\frac{3}{11}[/tex]

= [tex]\frac{22}{11}[/tex] + [tex]\frac{3}{11}[/tex]

= [tex]\frac{22+3}{11}[/tex]

= [tex]\frac{25}{11}[/tex]

or

multiplying the whole number by 11 and adding 3 , over 11

[tex]\frac{2(11)+3}{11}[/tex]

= [tex]\frac{22+3}{11}[/tex]

= [tex]\frac{25}{11}[/tex]

The probability using the demand distribution of a stockout is given as 0.6293.

Out-of-stock situations, commonly referred to as stockouts, occur when a company runs out of a product that a client is prepared to purchase. Stockouts have a direct influence on customer satisfaction and are a major reason for bad reviews, additional expenses, and lost revenue or, worse, customers.

Let X = no of demand for the toy

μ =20,000

P(10000 < X < 30000) = 0.90

X follows  normal distribution

z=x−μ​/σ

P(10000 < X < 30000)=0.90

P((10000−20000​)/σ) < (x−20000​)/σ < (30000−20000​)/σ )=0.90

as probability is 0.90, the z-score =1.645.

(30000−20000)​/σ =1.645

10000​/σ=1.645

σ=10000​/1.645

σ=6079

1.P(X>15,000)

=P(Z> (15000−20000​)/6079)

=P(Z> −0.82)

=P(Z< 0.82)

=0.5+0.1293

=0.6293

2. P(X> 24000)

=P(Z> (24000−20000​)/6079)

=P(Z> 0.66)

=0.5−0.2454

=0.2546

3.Expected profit = (profit per unit )*(no of sold units) + (loss per unit )*(of units unsold)

profit = $8

loss = -$11

a. profit if 15000 units are sold =(8)(15000) + (-11)(0) = $120,000

b. if there is demand for 15,000 units but orders only 18000 units profit is (8)(15000) + (-11)(3000) = $87,000

c. if there is demand for 18,000 units but orders only 24000 units profit is (8)(18000)+(-11)(6000)= $78,000.

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Complete question:

(a) What is the expected profit if all 15,000 units are sold? type your answer...

(b) Suppose there is demand for 15,000 units, but Specialty Toys orders 18,000 units? What is the expected profit? type your answer...

(c) Suppose there is demand for 18,000 units, but Specialty Toys orders 24,000 units? What is the expected profit? type your answer... 15 3 points Based on what you know about the distribution of demand, the probability of stock-outs, and the expected profit, how many units of Weather Teddy do you recommend that Specialty Toys purchase?

The probability that a male passenger can fit through the doorway without bending is approximately 0.9599, or 95.99%.

What is probability?

Probability is a branch of mathematics that deals with the study of random events and their likelihood of occurrence. It is used to quantify uncertainty and to make informed decisions in the face of incomplete or uncertain information.

We can assume that the heights of male passengers follow a normal distribution with a mean of 69.0 in and a standard deviation of 2.8 in. Let X be the height of a male passenger in inches. Then, we need to find the probability that X is less than or equal to 74 in, which represents the height of the airliner's doors.

(a) Using the standard normal distribution, we can standardize X as follows:

z = (X - μ) / σ

where μ is the mean and σ is the standard deviation of the distribution, and z is the corresponding z-score.

Substituting the values, we get:

z = (74 - 69.0) / 2.8 = 1.75

Using a standard normal distribution table or calculator, we can find the probability that a standard normal random variable is less than or equal to 1.75:

P(Z ≤ 1.75) ≈ 0.9599

Therefore, the probability that a male passenger can fit through the doorway without bending is approximately 0.9599, or 95.99%.

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Answer:

D

Step-by-step explanation:

Volume: π*[tex]r^{2} *h[/tex]= π*[tex]4^{2}[/tex]*6.2=311.49

The 15 equations and 15 unknowns are part of a system of linear equations. These equations can be used to find the values of the 15 unknowns. The purpose of each set of equations is to determine the unknowns in the system. The equations are derived using algebraic methods such as substitution, elimination, and graphing.

The 15 equations are:

1. x + y = 15

2. x - y = 5

3. 2x + 4y = 60

4. x + 2y = 30

5. 3x + y = 45

6. 3x - y = 35

7. x + 4y = 40

8. 4x + y = 55

9. x - 4y = 5

10. 2x - y = 15

11. 3x - 2y = 20

12. 5x + y = 55

13. x - 5y = -5

14. 2x + 5y = 55

15. 4x - 3y = 25

The 15 unknowns are:

1. x

2. y

3. x + y

4. x - y

5. 2x + 4y

6. x + 2y

7. 3x + y

8. 3x - y

9. x + 4y

10. 4x + y

11. x - 4y

12. 2x - y

13. 3x - 2y

14. 5x + y

15. x - 5y

Each equation is derived using algebraic methods such as substitution, elimination, and graphing. By substituting the known values into the equations, the unknowns can be determined. Elimination is used to get rid of terms from the equations, making it easier to solve for the unknowns. Graphing is used to plot out the equations and to help visualize the relationships between the unknowns and the equations.

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For the Yoko Fund, the Treynor ratio is 6.0%, although none of the answer choices provided is a close approximation, we can choose option c. 6.750

The Treynor ratio measures the excess return earned by an investment per unit of systematic risk (i.e., beta). It is calculated as the difference between the return of the investment and the risk-free rate, divided by the investment's beta.

The formula for the Treynor ratio is:

Treynor Ratio = (Return of the Investment - Risk-Free Rate) / Beta

In this case, the return of the Yoko Fund is 11.2%, the risk-free rate is 3.1%, the beta is 1.20, and we are given the standard deviation of the Yoko Fund's returns, which is 17.5%.

Using the formula, we get:

Treynor Ratio = (11.2% - 3.1%) / 1.20

= 6.0%

Therefore, the Treynor ratio for the Yoko Fund is 6.0%.

None of the answer choices is exactly equal to 6.0%, but the closest one is (c) 6.750.


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Answer:

379.94

Step-by-step explanation:

Area of a circle given radius is really easy! The equation for area of a cicle is pi x r^2. So just plug in. Assuming pi is 3.14 your equation would be

3.14x11^2. 11 squared is 121. Then multiply by 3.14 and thats your answer.

Using the idea of comparable ratio, we may determine x:y:z to be 3:16:1, given as x:y=3:4 and y:z=1:4.

When the second number in the ordered pair, b, is not equal to 0, the ratio is expressed as a/b. An equation wherein two ratios are made equal is known as a percentage. As an illustration, you could express the ratio as 1: 3 if there is 1 guy and 3 girls (for every one boy there are 3 girls)

Given that y is present in both ratios, we may begin by determining its value:

y = (4/1) * (y/z), multiplied by 4, which is the reciprocal of 1/4.

y = 4(y/z)

y/z = 1/4

z/y = 4/1

We can now find x by using the value of y:

x/y = 3/4 (given)

x = (3/4) * y x = (3/4) * 4(z/y) (simultaneously inserting y/z)

x = 3z

As a result, x:y:z = 3z: 4 is the ratio of x:y:z.

y : z\s= 3 : 4(4) : 1\s= 3 : 16 : 1

So, x:y:z = 3:16:1 is the solution.

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Answer:

In a 45° 45° 90° triangle, the two legs are congruent and the hypotenuse is √2 times the length of each leg.

Let x be the length of each leg.

Then, using the Pythagorean theorem, we have:

x^2 + x^2 = 24^2

2x^2 = 576

x^2 = 288

x = √288 = 12√2

Therefore, the length of each leg is 12√2.

Answer:

each leg is 16.97

Step-by-step explanation:

[tex]\frac{24}{\sqrt{2} }[/tex] = 16.97

Answer:

  (a)  No, because for each input there is not exactly one output.

Step-by-step explanation:

You want to know if the relation shown in the graph is a function.

A relation is a function if its graph passes the vertical line test. That is, a vertical line cannot intercept the graph of the relation at more than one point.

The points (-1, -2) and (-1, 3) will both be intercepted by the vertical line x = -1. This tells us the relation is not a function, because it has two outputs for that input.

<95141404393>

a) The sum of the given series is 7 / (1 + 2z)

b) The domain of convergence is (-∞, -1/2) U (1/2, ∞).

The given series can be expressed as

7 – 14z + 28z^2 - 56z^3 + ...

This is a geometric series with first term (a) = 7 and common ratio (r) = -2z. The formula for the sum of an infinite geometric series is

sum = a / (1 - r)

Substituting the values of a and r, we get

sum = 7 / (1 + 2z)

So, the sum of the given series is 7 / (1 + 2z).

For the series to converge, the absolute value of the common ratio must be less than 1. That is,

|r| = |−2z| < 1

Simplifying this inequality, we get

1/2 < |z|

So, the domain of convergence of the given series is (-∞, -1/2) U (1/2, ∞).

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The evaluation of the algebraic expression 8a-1+0.5b when a=1/4 and b=10 is 6.

We are given an expression 8a−1+0.5b8, and we are asked to evaluate it when a = 1/4 and b = 10. Substituting these values, we get:

8(1/4) - 1 + 0.5(10) = 2 - 1 + 5

Simplifying the expression on the right-hand side, we get:

8a−1+0.5b8 = 6

Therefore, when a = 1/4 and b = 10, the value of the expression 8a−1+0.5b8 is 6.

This means that if we substitute the given values for a and b, the resulting expression will have a value of 6. It is important to correctly substitute the values before evaluating the expression to obtain the correct answer.

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____The given question is incomplete, the complete question is given below:

Evaluate 8 a − 1 + 0.5 b 8a−1+0.5b8, a, minus, 1, plus, 0, point, 5, b when a = 1 4 a= 4 1 a, equals, start fraction, 1, divided by, 4, end fraction and b = 10 b=10b, equals, 10.

Assume that the test scores of a college entrance exam fits a normal distribution. the mean test score is 80, and the standard deviation is 5. The percentage of students scoring 83 or more in the exam is 26.96%.

Assuming that the test scores of a college entrance exam fit a normal distribution with mean 80 and standard deviation 5, the z-score of a test score of 83 is calculated using the formula:

z = (x - μ) / σ

where z is the z-score,

x is the test score,

μ is the mean, and

σ is the standard deviation.

Substituting the values, we get:

z = (83 - 80) / 5 = 0.6

Using a z-table or a calculator, we find that the percentage of students scoring 83 or more is the area to the right of the z-score of 0.6 under the standard normal distribution curve.

This can be calculated as:

P(z > 0.6) = 1 - P(z < 0.6)

Using a z-table or a calculator, we can find that P(z < 0.6) = 0.7257

Therefore,P(z > 0.6) = 1 - P(z < 0.6) = 1 - 0.7257 = 0.2743

Multiplying by 100%, we get that the percentage of students scoring 83 or more in the exam is:

0.2743 × 100% ≈ 26.96%

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Probability sampling procedures are instances where every unit in the population has a non-zero chance of being selected. (Option a)

Probability sampling is a type of sampling method used in statistical analysis, where each member of the population has a known and equal probability of being selected. This means that every possible unit in the population has a non-zero chance of being selected for the sample.

Probability sampling methods include simple random sampling, systematic sampling, stratified sampling, and cluster sampling. These methods are typically used when population parameters are unknown or when the researcher wants to make generalizations about the population based on the sample data.

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