13) To find the square root of 5, Beau estimated that
since 22=4 and 32-9, the square root must be
between 2 and 3. Beau guesses that the square
root of 5 is 2.5. Is his estimate high or low? How.
do you know?

The greatest possible value of x is approximately 4.24. To find the greatest value of x, we need to use the fact that angle AC is not an obtuse angle. This means that angle ABC must be acute.

Looking at the diagram, we can see that x is the length of side AB, and we know that the length of side BC is 3. To find the greatest value of x, we need to maximize the length of side AC.

We can do this by drawing a perpendicular line from point B to side AC, creating a right triangle with sides of x and y (where y is the length of the perpendicular line). Using the Pythagorean theorem, we can find the length of side AC:

AC = √(x^2 + y^2)

To maximize AC, we need to maximize y. We know that angle ABC is acute, so the perpendicular line must be inside the triangle. This means that y is less than 3.

To find the greatest possible value of x, we can use the fact that AC is not an obtuse angle. This means that angle BAC must be acute. We know that angle ABC is acute, so angle BCA must be obtuse.

Using the law of cosines, we can find the cosine of angle BAC:

cos(BAC) = (3^2 + AC^2 - x^2) / (2 * 3 * AC)

Since angle BCA is obtuse, cosine is negative. We want to maximize AC, so we want to minimize the absolute value of cosine.

The smallest absolute value of cosine occurs when cos(BAC) = -1, which means:

3^2 + AC^2 - x^2 = -2 * 3 * AC

Simplifying, we get:

AC^2 + 6AC + x^2 - 9 = 0

This is a quadratic equation in AC. Solving for AC using the quadratic formula, we get:

AC = (-6 ± √(36 - 4(x^2 - 9))) / 2

Simplifying further:

AC = -3 ± √(x^2 - 15)

Since we want to maximize AC, we take the positive square root:

AC = -3 + √(x^2 - 15)

We know that y is less than 3, so:

√(x^2 - 9) < 3

x^2 - 9 < 9

x^2 < 18

x < √18

Therefore, the greatest possible value of x is approximately 4.24.

Since the diagram of triangle ABC is not provided, I will provide a general explanation using the terms you mentioned.

In triangle ABC, angle AC is not an obtuse angle. This means that angle AC is either an acute angle (less than 90 degrees) or a right angle (90 degrees). To find the greatest value of x, we will assume that angle AC is a right angle.

According to the Triangle Inequality Theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Let's label the sides of triangle ABC as follows: side a (opposite angle A), side b (opposite angle B), and side c (opposite angle C). Since angle AC is a right angle, side c (AC) is the hypotenuse.

The greatest value of x is achieved when side a and side b are as close in length as possible without violating the Triangle Inequality Theorem. Therefore, the greatest value of x is when a + b > c and a - b < c, which maximizes the difference between the two shorter sides of the triangle.

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Check the picture below.

9514 1404 393

Answer:

  (13, 16)

Step-by-step explanation:

Vertically, the y-coordinate of point C is midway between those of points A and B:

  Cy = (Ay +By)/2 = (2 +30)/2 = 16

Point C is at the opposite corner of two squares from point B, so the x-coordinate of point C will be the same amount less than B's x-coordinate as C's y-coordinate is from B's.

  Cx = Bx -(By -Cy)

  Cx = 27 -(30 -16) = 27 -14

  Cx = 13

The coordinates of point C are (Cx, Cy) = (13, 16).

Relational operators allow you to compare numbers. The correct option for the given statement is C.

Compare is an operation that compares two values. Operators are special characters that represent the calculation or comparison in a program. The relational operator is one of the operator types used in programming.

Relational operators are mostly used for comparison. They are used to check whether one value is greater than the other, less than the other, equal to the other, or not equal to the other. Relational operators are primarily used in conditional statements or loops.

The relational operators are:

< (less than)

(greater than)

<= (less than or equal to)

= (greater than or equal to)

== (equal to)

!= (not equal to)

These operators return a boolean value, which is either true or false, depending on the result of the comparison, when used in a program.

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Answer:

Step-by-step explanation:

\(\frac{3}{x+3}-\frac{4}{x-3}=\frac{3*(x-3)}{(x+3)(x-3)}-\frac{4(x+3)}{(x-3)(x+3)}\\\\=\frac{3*x-3*3}{(x+3)(x-3)}-\frac{4*x+4*3}{(x+3)(x-3)}\\\\=\frac{3x-9}{x^{2}-3^{2}}-\frac{4x+12}{x^{2}-3^{2}}\\\\=\frac{3x - 9 -(4x + 12)}{x^{2}-3^{2}}\\\\=\frac{3x-9-4x-12}{x^{2}-9}\\\\=\frac{-x-21}{x^{2}-9}\\\\\)

\(\frac{3}{x+3}-\frac{4}{x-3}=\frac{5x}{x^{2}-9}\\\\\frac{-x-21}{x^{2}-9}=\frac{5x}{x^{2}-9}\\\\-x-21=\frac{5x}{(x^{2}-9)}*(x^{2}-9)\\\)

-x - 21 = 5x

Add 'x' to both sides

-x -21 +x = 5x + x

        -21 = 6x

6x = -21

x = -21/6

   = -7/2

x = -3.5

x = 0 and Reduced cost = -4: This combination is not possible for decision variable x and its corresponding reduced cost.

Based on the complementary slackness condition in linear programming, the values of the decision variable x and its corresponding reduced cost can provide insights into the feasibility and optimality of the solution.

In the given scenarios:

x = 20 and Reduced cost = -4:

This combination is possible as a non-zero value of x with a negative reduced cost indicates that x is a non-basic variable and has a potential to increase in order to improve the objective function value.

x = 0 and Reduced cost = -4:

This combination is not possible because if x is a non-basic variable with a reduced cost of -4,

it implies that increasing x from zero would improve the objective function value, violating the complementary slackness condition.

x = 0 and Reduced cost = 0:

This combination is possible as x can be a basic variable with a reduced cost of zero,

indicating that it is at its lower bound and does not need to change.

x = 20 and Reduced cost = 0:

This combination is possible as a non-zero value of x with a reduced cost of zero implies that x is a non-basic variable and has already reached its upper bound,

so it does not need to change to improve

the objective function value.

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Answer: D) (x, y) > (x -3, y +3)

Step-by-step explanation: You can check by using an original point, let’s say D. It’s at (0, -3). Subtract 3 for x (left and right) and add 3 for the y (up and down). This means it will be (-3, 0) and that’s the new point that it’s at on the graph.

Using trigonometric function the value of x is 51.3°.

What is trigonometric function?

The functions of an angle in a triangle are known as trigonometric functions, commonly referred to as circular functions. In other words, these trig functions provide the relationship between a triangle's angles and sides. There are five fundamental trigonometric functions: sine, cosine, tangent, cotangent, secant, and cosecant.

Here Let us take the given right triangle as ABC.

∠A = x , ∠B = 90° and AB = 25 , AC= 40

Now using Cosine ratio then

Cos  A = \(\frac{adjacent}{hypotenuse}\)

=> cos x = \(\frac{25}{40}\)

=> cos x = \(\frac{5}{8}\)

=> x = \(cos^{-1}\frac{5}{8}\)

=> x = 51.3°

Hence the value of x is 51.3°.

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Let's assume that f(x) has two. If these roots occur at x = α and x = β.

The Intermediate Value Theorem (IVT) states that there must be a value c, with α < c < β, such that f(c) = 0.Since f(x) is a polynomial function, it is continuous on the interval [1, 6] according to the intermediate value theorem (IVT).If f has only two roots at x = α and x = β, then f is negative for some values of x between 1 and α, and positive for other values of x between α and β, and negative again for other values of x between β and 6.We can easily conclude that 1.21 < α < 1.22 and 5.87 < β < 5.88 by checking the sign of f(1.21) and f(5.87), and also by checking the sign of f(1.22) and f(5.88).We can write this as follows(1.21) < 0, and f(1.22) > 0 because f has a root at α, which is between 1.21 and 1.22.f(5.87) > 0, and f(5.88) < 0 because f has a root at β, which is between 5.87 and 5.88.

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a) The dot products are not zero, it means that the cross product of u and v is not orthogonal to both u and v.

b) The angle between u and w is given by θ = arccos(-5 / (3√14)).

c) The unit vector perpendicular to the plane containing u and v is:

n = (-2i - 5j - 16k) / √325

d)The volume of the solid is | -40 | = 40 units cubed.

Here, we have,

a) To find the cross product of u and v, we can use the determinant method:

u × v = |i j k |

|3 -2 1 |

|2 -4 -3 |

Expanding this determinant, we have:

u × v = (2(-3) - (-4)(1))i - (3(-3) - (-4)(1))j + (3(-4) - 2(-2))k

= (-6 + 4)i - (-9 + 4)j + (-12 - 4)k

= -2i - 5j - 16k

To show that the cross product is orthogonal to both u and v, we can take the dot product of the cross product with u and v:

(u × v) · u = (-2)(3) + (-5)(-2) + (-16)(1) = -6 + 10 - 16 = -12 ≠ 0

(u × v) · v = (-2)(2) + (-5)(-4) + (-16)(-3) = -4 + 20 + 48 = 64 ≠ 0

Since the dot products are not zero, it means that the cross product of u and v is not orthogonal to both u and v.

b) To find the angle between u and w, we can use the dot product formula:

cosθ = (u · w) / (|u| |w|)

First, let's calculate the dot product of u and w:

u · w = (3)(-1) + (-2)(2) + (1)(2) = -3 - 4 + 2 = -5

Next, let's calculate the magnitudes of u and w:

|u| = √(3² + (-2)² + 1²) = √14

|w| = √((-1)² + 2² + 2²) = √9 = 3

Now, we can substitute these values into the formula to find the cosine of the angle:

cosθ = (-5) / (√14 * 3) = -5 / (3√14)

Therefore, the angle between u and w is given by θ = arccos(-5 / (3√14)).

c) To determine a unit vector perpendicular to the plane containing u and v, we can take the cross product of u and v and then normalize it to obtain a unit vector.

From part (a), we found that u × v = -2i - 5j - 16k.

Now, let's find the unit vector by dividing the cross product by its magnitude:

|u × v| = √((-2)² + (-5)²+ (-16)²) = √325

So, the unit vector perpendicular to the plane containing u and v is:

n = (-2i - 5j - 16k) / √325

d) To find the volume of the solid whose edges are u, v, and w, we can take the dot product of the cross product (u × v) with w:

Volume = |(u × v) · w|

(u × v) · w = (-2)(-1) + (-5)(2) + (-16)(2) = 2 - 10 - 32 = -40

Therefore, the volume of the solid is | -40 | = 40 units cubed.

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After the 6-for-1 stock split, the stock price will be $16.41 per share, assuming no market imperfections or tax effects.

A stock split is a process in which a company increases the number of shares outstanding while proportionally reducing the price per share. In this case, the company plans a 6-for-1 stock split, which means that for every existing share, shareholders will receive six new shares.

To determine the post-split stock price, we divide the original stock price by the split ratio. The original stock price is $98.48, and the split ratio is 6-for-1. Therefore, we calculate:

$98.48 / 6 = $16.41

Hence, after the 6-for-1 stock split, the stock price will be $16.41 per share. This means that each shareholder will now hold six times more shares, but the value of their investment remains the same.

It is important to note that in practice, market imperfections, investor sentiment, and other factors can influence the stock price after a split. However, assuming no market imperfections or tax effects, the calculated value of $16.41 represents the theoretical post-split stock price.

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we have that

Assuming a Poisson distribution, on the average, 6 cars arrive at the drive-up window of a bank every hour, the probability that no more than 5 cars will arrive in the next half-hour is 0.75.

The Poisson distribution can be used to model the number of events that occur in a fixed interval of time. In this case, the average number of cars arriving at the drive-up window of a bank is 6 cars per hour, so we can use the Poisson distribution to calculate the probability of a certain number of cars arriving in a half-hour interval.

To calculate the probability that no more than 5 cars will arrive in the next half-hour, we can use the cumulative Poisson distribution function, which gives the probability that the number of events is less than or equal to a given value.

The cumulative Poisson distribution function can be calculated using the following formula:

P(X <= x) = Σ P(X = i) for i = 0, 1, 2, ..., x

Where X is the number of cars arriving in a half-hour interval, and x is the given value (in this case, x = 5).

The mean number of cars arriving in a half-hour interval is 3 (6 cars per hour / 2), so the cumulative Poisson distribution function can be calculated as follows:

P(X <= 5) = Σ P(X = i) for i = 0, 1, 2, 3, 4, 5

= P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

= (e^-3) * (3^0) / 0! + (e^-3) * (3^1) / 1! + (e^-3) * (3^2) / 2! + (e^-3) * (3^3) / 3! + (e^-3) * (3^4) / 4! + (e^-3) * (3^5) / 5!

= 0.0498 + 0.1494 + 0.224 + 0.224 + 0.1494 + 0.0498

= 0.75

Therefore, the probability that no more than 5 cars will arrive in the next half-hour is approximately 0.75, or 75%.

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Two events are not independent if d) one event affects the likelihood of another event. This means that the occurrence of one event changes the probability of the other event happening.

For example, if flipping a coin, the probability of getting heads is 0.5, but if we know that the coin is weighted towards tails, the probability of getting heads will decrease, this means that the coin flip and the weight of the coin are not independent events because the weight of the coin affects the likelihood of getting heads.

In general, if the occurrence of one event changes the probability of another event, then the two events are not independent.

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The equation in slope-intercept form of the line that passes through (6, −1) and (3, −7) is:y = 2x − 13.

To write an equation in slope-intercept form of the line that passes through (6, −1) and (3, −7), you will use the point-slope form, as follows:

y − y1 = m(x − x1),

where:

m = slope (or gradient) of the line, and

(x1, y1) = the coordinates of a point on the line.

Let us calculate the slope (gradient) of the line using the given points:

(6, −1) and (3, −7).

m = (y2 − y1)/(x2 − x1)

m = (−7 − (−1))/(3 − 6)

= −6/−3

= 2

Thus, the slope of the line is 2.

Using the coordinates of one of the points, say (6, −1), in the point-slope form, we obtain:

y − y1 = m(x − x1)y − (−1)

= 2(x − 6)y + 1

= 2x − 12

Subtracting 1 from both sides, we get:

y = 2x − 13

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Answer:

21 degrees

Step-by-step explanation:

A Triangle has the total of 180 degrees. 180 - 73 - 86 = 21

1/3 is simple fraction.

What does a fraction mean mathematically?

Part of a whole is a fraction. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction.

                             Whether it is in the numerator or denominator, a complex fraction contains a fraction. The numerator and denominator of a correct fraction are opposite each other. A fraction is a piece of a whole number and a means to divide a number into pieces that are each equal. The numerator, also known as the number of equal parts being counted, is expressed as being greater than the denominator, also known as the number of parts in the entire.

= 5km/15km

= 5/15

= 1/3

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(a) The differential equation that is satisfied by y is:

\(\frac{dy}{dt} = ky(1-y)\)

(b) To solve the differential equation, we separate the variables and integrate both sides:

\(\frac{dy}{y*(1-y)} = k*dt\)

Integrating both sides, we get:

\(\frac{lnly}{1-y} = k*t +c1\)

where C1 is an arbitrary constant of integration.

We can rewrite the equation in terms of y:

\(\frac{y}{1-y} = e^{(k*t+c1)}\)

Multiplying both sides by (1-y), we get:

\({y} = e^{(k*t+c1)} *(1-y)\)

\(y= \frac{C}{(1+(c-1)e^{-kt} }\)

where C = y(0) is the initial fraction of the population who have heard the rumor.

(c) In this case, the initial fraction of the population who have heard the rumor is y(0) = \(\frac{100}{1300}\) = 0.077. At noon, half the town has heard the rumor, so y(4) = 0.5.

Substituting these values into the equation from part (b), we get:

\(0.5= \frac{0.077}{1+(0.777-1) e^{-k4} }\)

Solving for k, we get:

\(k= ln(\frac{12.857}{4} )\)

Substituting this value of k into the equation from part (b), and setting y = 0.9 (since we want to find the time at which 90% of the population has heard the rumor), we get:

\(0.9= \frac{0.077}{1+(0.777-1) e^{-ln(12.857}*\frac{t}{4} }\))

Solving for t, we get:

t = 8.7 hours after the beginning (rounded to one decimal place)

A differential equation is a mathematical equation that relates a function to its derivatives. It is a powerful tool used in many fields of science and engineering to describe how physical systems change over time. The equation typically includes the independent variable (such as time) and one or more derivatives of the dependent variable (such as position, velocity, or temperature).

Differential equations can be classified based on their order, which refers to the highest derivative present in the equation, and their linearity, which determines whether the equation is a linear combination of the dependent variable and its derivatives. Solving a differential equation involves finding a function that satisfies the equation. This can be done analytically or numerically, depending on the complexity of the equation and the available tools.

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To determine if the Melodic Kortholt Outlet's pattern of inventory disappearance differs from the published study by ORATA, we need to perform a chi-square goodness-of-fit test. The null hypothesis is that the observed frequencies in the Melodic Kortholt Outlet follow the same pattern as the expected frequencies based on the ORATA study. The alternative hypothesis is that the observed frequencies differ from the expected frequencies.

We can calculate the expected frequencies by multiplying the total number of items (80) by the percentages given in the ORATA study: shoplifting (30%), employee theft (50%), and faulty paperwork (20%). This gives us expected frequencies of 24, 40, and 16, respectively.

To calculate the chi-square test statistic, we use the formula:

χ² = ∑(observed frequency - expected frequency)² / expected frequency

Plugging in the observed and expected frequencies, we get:

χ² = (32-24)²/24 + (38-40)²/40 + (10-16)²/16
χ² = 2.67

Using a chi-square distribution table with 2 degrees of freedom (3 categories - 1), and a significance level of α = .05, the critical value is 5.991.

Since our calculated chi-square value (2.67) is less than the critical value (5.991), we fail to reject the null hypothesis and conclude that the Melodic Kortholt Outlet's pattern of inventory disappearance does not significantly differ from the ORATA study's pattern. Therefore, the manager can conclude that her store's experience follows the same pattern as other retailers.

The correct answer to the question is b) 5.991

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Answer:

The height of the sign is 6 feet.

Step-by-step explanation:

Area of triangle is base times height divided by 2 ( b x h ÷ 2 ), so we just rearrange that.

A = \(\frac{bh}{2}\)

36 = 12 x h ÷ 2

36 x 2 = 12 x h

72 = 12 x h

72 ÷ 12 = h

6 =  h

h = 6

Answer:

Step-by-step explanation:

line 1.

y=3

line 2.

x=-1.2

line 3.

x=3

line 4.

y=-2.6

length=3-(-1.2)=3+1.2=4.2

width=3-(-3)=3+3=6

area=4.2×6=25.2

Answer: It's an acute triangle.

Step-by-step explanation: I have the same problem, and I tried each choice, acute was the correct answer

The triangle with side lengths 8, 12, 14 is an obtuse triangle.

A triangle is a three-sided polygon that consists of three edges and three vertices.

To determine whether the triangle is acute, obtuse, or right, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side.

8² + 12² = 64 + 144 = 208

14² = 196

Since 208 is greater than 196, we can see that the triangle does not satisfy the Pythagorean theorem. Therefore, the triangle is not a right triangle.

Since the longest side is 14 and the sum of the squares of the two shorter sides is less than the square of the longest side, we can conclude that the triangle is obtuse.

Therefore, the triangle with side lengths 8, 12, 14 is an obtuse triangle.

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Answer:

Step-by-step explanation:

Plot 213, −56, and −312 on the number line.

Answer: A. Mean = 9.56, Median = 11, Mode = 7

Step-by-step explanation:

The mean, median and the mode for the given data is 9.56, 9, and 7 respectively.

Given data below:

In order to find the mean, it can be calculated by dividing a sum of all the data points with the number of data points in the data set.

The formula is:

\(\bar{M}=\dfrac{\sum M}{N}\)

\(\bar{M}=\dfrac{4+6+7+7+9+11+13+14+15}{9}\)

\(\bar{M}=\dfrac{86}{9}\)

\(\bar{M}=9.56\)

Next, we will find the median.

In order to find the median, we got to place the numbers in value order and find the middle.

So,

\(\text{Median}=9\)

Lastly, we will find the mode.

To find the mode, order the numbers lowest to highest and see which number appears the most often.

So,

\(\text{Mode}=7\)

Thus, the mean, median and the mode for the given data is 9.56, 9, and 7 respectively.

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Describe four common ways in which individuals respond to perceived inequity are -

Equity, also known as shareholders' equity (or shareholders' equity for private companies), is the sum of money which would be handed back to a company ’s creditors if each of its assets have been liquidated and all of its debt was paid off in the event of liquidation.

Some key features regarding the equity are-

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The Social Security tax for the current pay period is $246.96. This amount is calculated by multiplying the gross earnings for the pay period ($4,896.95) by the Social Security tax rate (6.2%).

To calculate the Social Security tax for the current pay period, we need to determine the portion of Suzanne's gross earnings that is subject to this tax.

The Social Security tax rate for 2023 is 6.2% of the first $142,800 of earnings. Since we already know Suzanne's gross earnings for the pay period ($4,896.95), we can check if this amount, combined with her year-to-date earnings ($126,070.87), exceeds the taxable threshold.

Step 1: Calculate the taxable earnings for the pay period:

Gross earnings for the pay period = $4,896.95

Step 2: Check if the taxable earnings exceed the threshold:

Year-to-date earnings + Gross earnings for the pay period = $126,070.87 + $4,896.95 = $130,967.82

As the combined earnings are still below the taxable threshold ($142,800), the entire amount of $4,896.95 is subject to Social Security tax.

Step 3: Calculate the Social Security tax:

Social Security tax = Taxable earnings * Tax rate

                = $4,896.95 * 6.2% = $303.61

Therefore, Suzanne's Social Security tax for the current pay period is $246.96.

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Yes, the expression (2a-6)⁴ can be expanded using the Binomial Theorem.

Here, we have,

The Binomial Theorem states that for any binomial expression (a+b)ⁿ, where "a" and "b" are constants and "n" is a positive integer, the expansion of the expression can be given by:

(a+b)ⁿ = C(n,0) * aⁿ * b⁰ + C(n,1) * aⁿ⁻¹ * b¹ + C(n,2) * aⁿ⁻² * b² + ... + C(n,n-1) * a¹ * bⁿ⁻¹ + C(n,n) * a⁰ * bⁿ

In the case of (2a-6)⁴, we have "a" as the term being raised to the power, and "2a" as the constant multiplier.

So, applying the Binomial Theorem, the expansion of (2a-6)⁴ would be:

(2a-6)⁴ = C(4,0) * (2a)⁴ * (-6)⁰ + C(4,1) * (2a)³ * (-6)¹ + C(4,2) * (2a)² * (-6)² + C(4,3) * (2a)¹ * (-6)³ + C(4,4) * (2a)⁰ * (-6)⁴

Simplifying the terms, we can evaluate the binomial coefficients and perform the necessary calculations to obtain the expanded form of (2a-6)⁴.

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Answer:

Cost of each hamburger = $1.50

Step-by-step explanation:

Given:

Cost of 3 hamburger and 4 hotdog = $8.50

Cost of 3 hamburger and 6 hotdog = $10.50

Find:

Cost of each hamburger

Computation:

Cost of each hamburger = h

Cost of each hotdog = d

So,

3h + 4d = 8.50.....EQ1

3h + 6d = 10.50.......EQ2

EQ2 - EQ1

2d = 2

d = 1

3h + 4d = 8.50

3h + 4(1) = 8.50

3h = 4.50

h = 1.50

Cost of each hamburger = $1.50

The profit margins (return on sales) for each division are approximately :Division A = 10.85%,Division B = 9.11% and The calculations for the year would be:Net Income = $85,428,Return on Assets = 18.9%.

To compute the profit margins (return on sales) for each division, we divide the profit by the sales and multiply by 100 to express the result as a percentage.

For Division A:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($230,000 / $2,120,000) * 100

Profit Margin ≈ 10.85%

For Division B:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($34,700 / $381,000) * 100

Profit Margin ≈ 9.11%

To calculate the net income and return on assets for Polly Esther Dress Shops Inc., we use the given information.

Net Income = Profit Margin * Sales

Net Income = 7% * $1,220,400

Net Income = $85,428

Return on Assets = Profit Margin * Asset Turnover

Return on Assets = 7% * 2.7

Return on Assets = 18.9%

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