Identify the multiplication problem that matches the model

To find the cost of each shirt and each cap, we can set up a system of linear equations using the given information. By solving the system, we can determine the values of the unknowns.

Let's assume the cost of each T-shirt is represented by 'T' and the cost of each cap is represented by 'C'. We can set up the following equations based on the given information:

Equation 1: 3T + 4C = 120 (from the first customer's purchase)

Equation 2: 2T + 1C = 95 (from the second customer's purchase)

To solve this system of equations, we can use methods such as substitution or elimination. In this case, substitution may be a more straightforward approach.

From Equation 2, we can express C in terms of T: C = 95 - 2T. We can substitute this value into Equation 1:

3T + 4(95 - 2T) = 120

Simplifying the equation, we get: 3T + 380 - 8T = 120

-5T + 380 = 120

-5T = -260

T = 52

Substituting T = 52 back into Equation 2, we find:

2(52) + 1C = 95

104 + C = 95

C = 95 - 104

C = -9

Since the cost of a cap cannot be negative, we need to reassess the information or check for errors in the problem statement or calculations. It is likely that there may be a mistake in the given information or calculations, as a negative cost does not make sense in this context.

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Answer:

The answer is x=1 and y=1

Step-by-step explanation:

Multiply the second equation by -1, then add the equations together.

(2x+3y=5)

−1(2x+7y=9)

Becomes:

2x+3y=5

−2x−7y=−9

Add these equations to eliminate x:

−4y=−4

Then solve−4y=−4for y:

−4y=−4 Divide -4

\(\frac{-4y}{-4}= \frac{-4}{-4}\)

y=1

Now that we've found y let's plug it back in to solve for x.

Here's was the original equation:

2x+3y=5

Substitute 1 for y in 2x+3y=5:

2x+(3)(1)=5

2x+3=5

2x+3+−3=5+−3 ( Add -3 on both sides)

2x=2 Divide by 2

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

x=1

Answer:

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

Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).

Answer: He run 7 high-speed intervals and 8 low-speed intervals.

Step-by-step explanation:

Let x = Number of high-speed intervals.

y= Number of low-speed intervals .

He runs high-speed intervals in 16 seconds, and low-speed intervals in 23 seconds, and he runs a combined total of 15 intervals in 4 minutes and 56 seconds.

4 min 56 sec = (4(60)+56) sec = 296  sec   [ 1 minute = 60 seconds]

According to the question , we have the following linear equations :

\(x+y=15\ ...(i)\\\\ 16x+23y=296\ ...(ii)\)

Multiply (i)by 16 , we get

\(16x+16y=240\ ...(iii)\)

Subtract (iii) from (ii)

\(7y=56\\\\\Rightarrow\ y=8\)

Put value of y in (i) , we get

\(x+8=15\Rightarrow\ x=7\)

Hence, he run 7 high-speed intervals and 8 low-speed intervals.

An estimate of DEF Company's cost of equity is 7.14%.

To estimate the cost of equity, we can use the dividend growth model. The formula for the cost of equity (Ke) is: Ke = (Dividend per share / Current share price) + Growth rate

Given data:

The cost of equity iss:

Ke = ($0.55 / $16) + 0.037

Ke ≈ 0.034375 + 0.037

Ke ≈ 0.071375.

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Both the cost of equity and the cost of preferred stock play important roles in determining a company's overall cost of capital and the required return on investment for different types of investors.

To estimate DEF Company's cost of equity, we need to calculate the dividend growth rate and use the dividend discount model (DDM). The cost of preferred stock can be found by dividing the fixed dividend by the current price of the preferred stock.

The calculations will provide the cost of equity and cost of preferred stock as percentages.

To estimate DEF Company's cost of equity, we use the dividend growth model. First, we calculate the expected dividend for the next year, which is given as $0.55 per share.

Then, we calculate the dividend growth rate by taking the expected growth rate of 3.7% and converting it to a decimal (0.037). Using these values, we can apply the dividend discount model:

Cost of Equity = (Dividend / Current Share Price) + Growth Rate

Plugging in the values, we get:

Cost of Equity = ($0.55 / $16) + 0.037

Calculating this expression will give us the estimated cost of equity for DEF Company as a percentage.

To calculate the cost of preferred stock, we divide the fixed dividend per share ($1.8) by the current price per share ($27.6). Then, we multiply the result by 100 to convert it to a percentage.

Cost of Preferred Stock = (Fixed Dividend / Current Price) * 100

By performing this calculation, we can determine DEF Company's cost of preferred stock as a percentage.

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Answer:

29

Step-by-step explanation:

u don't need pemdas for this one

Answer:

the schedule and the algebraic expression

Answer:

\(y = - \frac{5}{4} x - \frac{1}{2} \)

Step-by-step explanation:

Slope-intercept form: y= mx +c, where m is the slope and c is the y-intercept.

\(\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }\)

Slope

\( = \frac{ - 3 - \frac{1}{8} }{2 - ( - \frac{1}{2}) } \)

\( = - \frac{5}{4} \)

Substitute the value of m into the equation:

\(y = - \frac{5}{4} x + c\)

To find the value of c, substitute a pair of coordinates the line passes through into the equation.

When x= 2, y= -3,

\( - 3 = - \frac{5}{4} (2) + c\)

\( - 3 = - \frac{5}{2} + c\)

\(c = - 3 + \frac{5}{2} \)

\(c = - \frac{1}{2} \)

Thus, the equation of the line is \(y = - \frac{5}{4} x - \frac{1}{2} \).

The directional derivative of f at (1, 2, 3) in the direction of v = ⟨2, -1, 2⟩ is 1/3.

The directional derivative of a function f(x, y, z) at a point (a, b, c) in the direction of a unit vector v = ⟨v₁, v₂, v₃⟩ is given by the dot product of the gradient of f at (a, b, c) and the vector v. That is,

Dᵥf(a, b, c) = ∇f(a, b, c) · v

where ∇f(a, b, c) is the gradient of f at (a, b, c).

Here, f(x, y, z) = x^2 y + y^2 z, so we have:

∂f/∂x = 2xy

∂f/∂y = x^2 + 2yz

∂f/∂z = y^2

Thus, the gradient of f is:

∇f(x, y, z) = ⟨2xy, x^2 + 2yz, y^2⟩

At the point (1, 2, 3), the gradient of f is:

∇f(1, 2, 3) = ⟨4, 13, 4⟩

The unit vector in the direction of v = ⟨2, -1, 2⟩ is:

||v|| = sqrt(2^2 + (-1)^2 + 2^2) = sqrt(9) = 3

So, the unit vector in the direction of v is:

u = v/||v|| = ⟨2/3, -1/3, 2/3⟩

Therefore, the directional derivative of f at (1, 2, 3) in the direction of v is:

Dᵥf(1, 2, 3) = ∇f(1, 2, 3) · u = ⟨4, 13, 4⟩ · ⟨2/3, -1/3, 2/3⟩

= (8/3) - (13/3) + (8/3)

= 1/3

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Answer:

The missing degree is 60, but the perimeter is 11 cm.

I hope this is correct, if it's incorrect, I'm sorry

Step-by-step explanation:

I guess we only need to add 2 hours and 38 minutes to the depart times to get arrival, and deduct 2 hours and 38 minutes from arrival to get departure.

a) 05 00 -> 07 38

b) 07 20 -> 09 58

c) 08 40 -> 11 18

d) 10 58 -> 13 36

e) 15 45 -> 18 23

f) 18 22 -> 21 00

g) 18 39 -> 21 17

h) 20 47 -> 23 25

It appears to involve Laplace transforms and initial-value problems, but the equations and initial conditions are not properly formatted.

To solve initial-value problems using Laplace transforms, you typically need well-defined equations and initial conditions. Please provide the complete and properly formatted equations and initial conditions so that I can assist you further.

Inverting the Laplace transform: Using the table of Laplace transforms or partial fraction decomposition, we can find the inverse Laplace transform of Y(s) to obtain the solution y(t).

Please note that due to the complexity of the equation you provided, the solution process may differ. It is crucial to have the complete and accurately formatted equation and initial conditions to provide a precise solution.

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Answer:

standard deviation sign is σ

mean sign is x , and sometimes it have a hyphen directly above x.

Step-by-step explanation:

In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.

It is the sum (total) of all the values in a set of data, such as numbers or measurements, divided by the number of values on the list. To find the mean, add up all the values in the set. Then divide the sum by how many values there are.

The symbol ∑ indicates summation and is used as a shorthand notation for the sum of terms that follow a pattern.

by solving this equation, the value of y = (x²+1)/(1-x²)

Equation can be used to represent relationships between variables and to solve problems. They are written using an equal sign (=) and can include numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division.

To make y the subject of the equation x = √((y-1)/(y+1)),

x = √[(y-1)/(y+1)]

we can square both sides:

x² = (y-1)/(y+1)

Next, we can multiply both sides by (y+1) to get rid of the fraction:

x² × (y+1) = y-1

x²y + x² = y - 1

Rearranging the terms:

x² + 1 = y - x²y

x² + 1 = y(1 - x²)

Divide both side by (1-x²) we get

y = (x²+1)/(1-x²)

So, y is the subject of the equation is y = (x²+1)/(1-x²)

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The solution as an ordered pair to represent the point on the graph where the equations intersect is: (2, 1)

Equivalence methods are non-graphical methods of finding intersections or solutions to systems of equations.

Start with two equations of the form y = -2x + 5. y = -2x + 5 and y = x - 1. Takes two expressions equal to y and equates them. Now solve this new equation for x. See the example shown. -2x + 5 = x - 1

x = 2

Once you know the x-coordinate of the intersection point, plug the solution for x into one of the original equations to find y. In this example the first expression is used.

y = -2x + 5

y = -2(2) + 5

y = 1

A good way to check the solution is to substitute the solution for x into both equations and make sure you get equal y values.

y = x - 1

y = 2 - 1

y = 1  

The solution as an ordered pair to represent the point on the graph where the equations intersect.

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The researcher needs to compute an estimated standard error for the mean difference score to calculate a t statistic.

This is done by calculating the standard deviation of the difference scores and dividing it by the square root of the sample size. The standard error measures the variability in the sample mean difference scores.

To compute a t statistic, the researcher also needs to calculate a pooled variance. This is done by combining the variances of the two groups being compared. The pooled variance takes into account the sample sizes and the variances of each group.

To compute a t statistic, the researcher needs to compute an estimated standard error for the mean difference score and a pooled variance. These calculations are necessary to determine the significance of the difference between the two groups.

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Answer:

15

Step-by-step explanation:

First we need to make this list in order:

12,13,13,15,16,19,32

Now we find the middle number (this is what the median is):

15 is the middle number
There is no 2 middle numbers since the list has an odd number of items

Answer:

A. slope is -3, y-intercept is 4

Answer:

Same

Step-by-step explanation:

Answer:

same

Step-by-step explanation:

Answer:

the answer is d(4,-7)

Step-by-step explanation:

-7= -8+1

-7= -7

Answer:

To convert 2 Bigha into Kattha:

If 1 Bigha = 20 Kattha:

2 Bigha = 2 * 20 Kattha = 40 Kattha

If 1 Bigha = 16 Kattha:

2 Bigha = 2 * 16 Kattha = 32 Kattha

Answer:

the percent of her comic books did Skylar give away is 20%

Step-by-step explanation:

Given that

Skylar has a collection of 60 comic books

She gave away some of her books

And she left by 48 books

we need to find out the percent of the skylar give away books

= (60 - 48) ÷ 60

= 12 books ÷ 60 books

= 20%

Hence, the percent of her comic books did Skylar give away is 20%

Answer:

ur welcoem

Step-by-step explanation:

Answer:

Step-by-step explanation:

14 x + 5y = 329

11x + 5y = 281(vans is x and busses are y)

cancel out 'y' by making the '5y' in 11x + 5y = 281 negative

-1 (11x + 5y = 281) =

-11x -5y = -281

insert second equation

-11x -5y = -281

14x + 5y = 320

3x = 48

x = 16

substitute vans in one equation

11(16) + 5y = 281

5y = 105

y = 21

The estimated number of pairs that can be reasonably expected to be spoiled at a 95% level of confidence can be determined using the formula for estimating a proportion in a finite population.

In this case, we have a population of 50,000 pairs of shoes and a sample size of 500 pairs. From the sample, 2% were found to be sub-standard quality.

To estimate the number of spoiled pairs in the population, we can use the following formula:

Estimated number of spoiled pairs = (Sample proportion) * (Population size)

The sample proportion is calculated by dividing the number of sub-standard pairs in the sample by the sample size. In this case, it is 0.02 (2%).

Plugging in the values, we get:

Estimated number of spoiled pairs = 0.02 * 50,000 = 1,000 pairs

Therefore, at a 95% level of confidence, we can reasonably expect that around 1,000 pairs of shoes will be spoiled in the daily production of 50,000 pairs.

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The chi-square value to test the hypothesis of random mating is 0.

To determine the chi-square value for testing the hypothesis of random mating in this population, we need to compare the observed frequencies of the blood types (M, MN, N) with the expected frequencies under the assumption of random mating.

First, we calculate the expected frequencies. Assuming random mating, the expected frequency for each blood type can be calculated by multiplying the total population size by the expected proportions for each blood type. The expected proportions can be obtained by dividing the total count for each blood type by the sum of all counts.

Total count: 550 + 725 + 225 = 1500

Expected proportions:

M: 550 / 1500 = 0.3667

MN: 725 / 1500 = 0.4833

N: 225 / 1500 = 0.1500

Expected frequencies:

M: 0.3667 * 1500 = 550

MN: 0.4833 * 1500 = 725

N: 0.1500 * 1500 = 225

Now we can calculate the chi-square value using the formula:

chi-square = Σ((observed frequency - expected frequency)^2 / expected frequency)

Calculating for each blood type:

For M: ((550 - 550)^2 / 550) = 0

For MN: ((725 - 725)^2 / 725) = 0

For N: ((225 - 225)^2 / 225) = 0

Summing the individual chi-square values: 0 + 0 + 0 = 0

The chi-square value is 0 (to the nearest hundredth) when testing the hypothesis of random mating in this population.

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