When solving a linear system of equations you are looking for roots of the equation?

Cindy should hire the 12th worker as it would result in a net increase in profit, with additional revenue exceeding the cost of hiring. Insufficient information is provided to determine the demand curve for labor or compare its elasticity. Events that would shift the factory's demand for capital include new, more efficient machines and rising wages due to a labor shortage.

a. To determine whether Cindy should hire a 12th worker, we need to compare the additional revenue generated with the additional cost incurred. Hiring the 12th worker would increase total revenue by $150 ($2,750 - $2,600) per day, but it would also increase costs by $100. Therefore, the net increase in total profit would be $50 ($150 - $100). Since the net increase in profit is positive, Cindy should hire the 12th worker.

b. By hiring the 12th worker, Cindy can increase her total revenue from $2,600 per day to $2,750 per day. The additional revenue generated by the 12th worker exceeds the cost of hiring that worker, resulting in a net increase in profit.

c. To determine the firm's demand curve for labor, we need information about the marginal product of labor (MPL) and the wage rates. Unfortunately, this information is not provided, so we cannot complete the labor demand table or derive the demand curve for labor.

Without specific data or information about changes in the quantity of labor demanded and wage rates, we cannot determine which demand curve (from part b or c) is more elastic. The elasticity of the demand curve depends on the responsiveness of the quantity of labor demanded to changes in the wage rate.

The events that would shift the factory's demand for capital are:

a. New shoemaking machines being twice as efficient as older machines would increase the productivity of capital. This would lead to an increase in the demand for capital as the factory would require more capital to produce the same quantity of shoes.

b. The wages that the factory has to pay its workers rising due to an economy-wide labor shortage would increase the cost of labor relative to capital. This would make capital relatively more attractive and lead to an increase in the demand for capital as the factory may substitute capital for labor to maintain production efficiency.

The event "Many consumers decide to walk barefoot all the time" would not directly impact the demand for capital as it is related to changes in consumer behavior rather than the production process of the shoemaking factory.

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The answer is 9, letter B.

The area and circumference of a circle is 40.8cm² and 22.6 cm respectively

The formula for calculating the circumference of a circle is expressed as:

C = 2πr

where

r is the distance between A and B

AB = r = √(5-2)²+(3-1)²

r = √9 + 4
r = √13

r = 3.605

Determine the circumference

C = 2(3.14)(3.605)
C = 22.6394

Hence the circumference of the circle is 22.6 cm

Determine the area

Area = πr²

Area = 3.14 * 3.605 * 3.605

Area = 40.8cm²

Hence the area and circumference of a circle is 40.8cm² and 22.6 cm respectively

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Answer: (a−c)(b−c)>0

Step-by-step explanation:

ab>1 and ac<01. a>0 if c<0 and also b>02. a<0 if c>0 and also b<0

how i did it:

At the vert first, write the inequality as an equation.

Solve the provided equation for one or more values.

Now, display all the values obtained in the number line.

Use open circles to show the excluded values on the number line.

Find the interim.

At the moment, take any random value from the interval and substitute it in the inequality equation to check whether the values reassure the inequality equation.

Intervals that reassure the inequality equation are the solutions of the given inequality equation.

Answer: A. mode

Step-by-step explanation: Mode is not a measure of the degree of spread or dispersion of scores.

Answer:

-3/4

Step-by-step explanation:

The slope = rise / run, it has gone down 3 so has rise -3 and gone along 4 so run of 4

Answer:

Step-by-step explanation:

cvbb

Answer:

No

Step-by-step explanation:

SSA is not a test of congruence

In the given function the domain is [-1, ∞]

Range is [-3, ∞]

The interval when function is positive [0,  ∞]

The domain of a function is the set of values that we are allowed to plug into our function.

This set is the x values in a function such as f(x).

The range of a function is the set of values that the function assumes

In the given function the domain is [-1, ∞]

Range is [-3, ∞]

The interval when function is positive [0,  ∞]

The interval when function is negative [-∞, -1]

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First, we can simplify the left side of the equation:

(w+7)^2 - 45 = 0

(w+7)^2 = 45

w+7 = ±√45

w = -7 ± √45

Rounding to the nearest hundredth, we get:

w = -7 + 6.71 ≈ -0.29 or w = -7 - 6.71 ≈ -13.71

Therefore, the solutions are approximately w = -0.29 or w = -13.71

Answer:

This is how it should like like

Answer:

probability

Step-by-step explanation:

pls mark me as brainlist

Answer:

Subtract 58 from both sides

Step-by-step explanation:

93 = x + 58

Subtract 58 from both sides

93- 58 = x+58-58

35 = x

Answer:

B. Subtract 58 from both sides

x=35

Step-by-step explanation:

We know the sum is 93. Therefore, we have to subtract 58 from 93 in order to find the missing number (x).

93 - 58 = 35

the solution to the equation 5xy=20 is x=4 and y=20.

Given: 5xy=20

Substitute y=5x into the equation:

5xy=20

5(5x) = 20

25x = 20

Divide both sides by 25:

x = 20/25

Substitution:

x = 4

y = 20

x = 4

Substitute x=4 into the equation:

y = 5x

y = 5(4)

y = 20

Given the equation 5xy=20, we can use substitution to solve for x and y. We start by substituting y=5x into the equation, giving us the equation 25x=20. We then divide both sides of the equation by 25, giving us x=20/25, or x=4. We then substitute x=4 into the equation, giving us y=5x, or y=5(4), or y=20. Therefore, the solution to the equation 5xy=20 is x=4 and y=20.

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Answer:

Area: T = 0.649

Step-by-step explanation:

Sides: a = 3.5   b = 1.333   c = 2.25

The correct option is (E) 17.

The length of line segment ST is 17 unit.

A line segment would be a section of a line with two ends and then a fixed length. It differs from a line that has no beginning or end point and can be lengthened in both directions.

Some key features of line segment are-

Now, according to the question;

PR=RT (as R is the midpoint of line segment PT)

and PQ=QR (as Q is the midpoint of line segment PR)

Consider QR=PQ=x ,

Then,  PR=RT=2x

QS=10 , PS=19 (given)

PS=PQ+QS

PS=PQ+10 =19

PQ=9

So,  PT=4x=36

ST=PT−PS

   =36−19

ST=17

Therefore, the length of line segment ST is found to be 17 units.

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The ratio of corresponding sides for the given similar triangles is 2/5.

In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:

a. 10

This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.

b. 4/5

This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.

To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.

Dividing 4 and 5 by 1, we get:

4 ÷ 1 = 4

5 ÷ 1 = 5

Therefore, the simplified ratio is 4/5.

c. 10/85

This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.

Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.

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Answer:

y = 0.5x + 3

Step-by-step explanation:

Answer

A

Step-by-step explanation:

The equation has 3 solutions (determined by the degree of polynomial and non-extreme case).

If you use cubic equation to try and solve the equality you get

\(x_1\approx-0.88 \\ x_2\approx1.35 \\ x_3\approx2.53\)

Clearly third one is in \((2,3)\) so the statement that one solution is between 2 and 3 is true.

Hope this helps.

Answer:

I had a hard time reading the + & - signs in the equations. Look at my notes.

5x - 4 = 95.44°       (Note: Is the - sign correct?)

x - 2 = 17.89°           (Note: Is the - sign correct?)

3x + 7 = 66.67°       (Note: Is the + sign correct?)

Step-by-step explanation:

180 = 5x - 4 + x - 2 + 3x + 7

combine like terms:

180 = 9x + 1

9x = 179

x = 19.89

5x - 4 = 5(19.89) - 4 = 95.44°

x - 2 = 19.89 - 2 = 17.89°

3x + 7 = 3(19.89) + 7 = 66.67°

Answer: Hope This Helps!

Step-by-step explanation:

Changes in air pressure are determined by a variety of forces, including the density and temperature of air masses. When air moves from between areas of high pressure and low pressure, wind directions and speeds may change. The driving force behind changes in air pressure and therefore the creation of wind is gravity.

Answer:

The Answer is 147.2

Step-by-step explanation:

Hope this helps Have a great day and Sry if i'm wrong :)

Thus, the correct answer is A. 72.85 m².

To find the area of a right spherical triangle, we can use the formula:

Area = r²(A + B + C - π),

where r is the radius of the sphere and A, B, C are the angles of the triangle.

Given that C = 90°, we have:

A = 72°27' = 72 + (27/60) ≈ 72.45°

B = 61°49' = 61 + (49/60) ≈ 61.82°

Substituting these values into the formula, along with C = 90° and the radius r = 10 m, we get:

Area = (10)²(72.45° + 61.82° + 90° - π)

≈ (100)(224.27° - π)

Now, we need to convert the result from degrees to radians since the formula expects angles in radians. There are π radians in 180°, so we divide by 180 to convert degrees to radians:

Area ≈ (100)(224.27° - π) * (π/180)

≈ (100)(224.27 - π) * (π/180)

Calculating the approximate value:

Area ≈ 72.85 m²

Therefore, the area of the spherical triangle is approximately 72.85 m².

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Answer:

149

Step-by-step explanation:

12× 24 = 288

228 - 139 = 149

Answer:

B. 149

Step-by-step explanation:

If the students have already filled 139 balloons with air and are going to use all the bags. They would need to fill 149 more balloons.

The first step would be to find the total number of ballons by calculating 12x24 which will give you 288.

From here you would need to subtract the number of ballons that are already filled with air from the balloons that remain which would be 288-139. This would give you a total of 149 balloons that still need to be inflated.