Consider the curve defined by the equation y = 47° +10x. Set up an integral that represents the length of curve from the point (-3,6) to the point (2,36).

Answers

Answer 1

The integral that represents the length of the curve from the point (-3,6) to the point (2,36) is L = ∫[-3 to 2] √101 dx.

To find the length of the curve defined by the equation y = 47° + 10x from the point (-3,6) to the point (2,36), we can use the arc length formula for a curve:

L = ∫[a to b] √(1 + (dy/dx)^2) dx

First, let's find dy/dx by taking the derivative of the given equation:

dy/dx = d/dx(47° + 10x) = 10

Now we can substitute this value into the arc length formula:

L = ∫[-3 to 2] √(1 + (10)^2) dx

Simplifying:

L = ∫[-3 to 2] √(1 + 100) dx

L = ∫[-3 to 2] √101 dx

Thus, the integral that represents the length of the curve from the point (-3,6) to the point (2,36) is:

L = ∫[-3 to 2] √101 dx

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Related Questions

Help Please! Find The Circumference Of A Circle With R=12.3.

Answers

Answer:

77.28

Step-by-step explanation:

c=π2r

12.3 times 2 =

24.6π

=77.28317928

=77.28

Answer:

77.3

Step-by-step explanation:

Please can someone help me?

Answers

Answer:

Step-by-step explanation:

let x equals negative 14 times pi over 3 period part a: determine the reference angle of x. (4 points) part b: find the exact values of sin x, tan x, and sec x in simplest form. (6 points)

Answers

The exact values  of sin x, tan x and sec x in simplest form are: sin x = -√3/2, tan x = √3, sec x = -2/√3.

To solve this problem, we'll work with the angle x, which is equal to -14π/3. Part a: Determine the reference angle of x. The reference angle is the positive acute angle formed between the terminal side of the angle and the x-axis. To find the reference angle, we ignore the negative sign and convert the angle to its equivalent positive angle within one revolution.

The positive equivalent angle can be obtained by adding 2π (or 360 degrees) repeatedly until we obtain a positive angle. In this case, we have: -14π/3 + 2π = -14π/3 + 6π/3 = -8π/3. The reference angle of x is 8π/3. Part b: Find the exact values of sin x, tan x, and sec x in simplest form. sin x = sin(-14π/3) = -sin(14π/3) (Using the symmetry of sine function)

= -sin(4π + 2π/3) (Dividing by 4π to obtain an angle within one revolution)

= -sin(2π/3) (Sine of an angle 2π/3 is known) = -√3/2.

tan x = tan(-14π/3) = tan(14π/3) (Using the symmetry of tangent function)

= tan(4π + 2π/3) (Dividing by 4π to obtain an angle within one revolution)

= tan(2π/3) (Tangent of an angle 2π/3 is known)= √3. sec x = sec(-14π/3) = sec(14π/3) (Using the symmetry of secant function)= sec(4π + 2π/3) (Dividing by 4π to obtain an angle within one revolution)= sec(2π/3) (Secant of an angle 2π/3 is known)= -2/√3. Therefore, the exact values in simplest form are: sin x = -√3/2, tan x = √3, sec x = -2/√3.

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Answer: The exact values  of sin x, tan x and sec x in simplest form are: sin x = -√3/2, tan x = √3, sec x = -2/√3.

Step-by-step explanation: To solve this problem, we'll work with the angle x, which is equal to -14π/3. Part a: Determine the reference angle of x. The reference angle is the positive acute angle formed between the terminal side of the angle and the x-axis. To find the reference angle, we ignore the negative sign and convert the angle to its equivalent positive angle within one revolution.

The positive equivalent angle can be obtained by adding 2π (or 360 degrees) repeatedly until we obtain a positive angle. In this case, we have: -14π/3 + 2π = -14π/3 + 6π/3 = -8π/3. The reference angle of x is 8π/3. Part b: Find the exact values of sin x, tan x, and sec x in simplest form. sin x = sin(-14π/3) = -sin(14π/3) (Using the symmetry of sine function)

= -sin(4π + 2π/3) (Dividing by 4π to obtain an angle within one revolution)

= -sin(2π/3) (Sine of an angle 2π/3 is known) = -√3/2.

tan x = tan(-14π/3) = tan(14π/3) (Using the symmetry of tangent function)

= tan(4π + 2π/3) (Dividing by 4π to obtain an angle within one revolution)

= tan(2π/3) (Tangent of an angle 2π/3 is known)= √3. sec x = sec(-14π/3) = sec(14π/3) (Using the symmetry of secant function)= sec(4π + 2π/3) (Dividing by 4π to obtain an angle within one revolution)= sec(2π/3) (Secant of an angle 2π/3 is known)= -2/√3. Therefore, the exact values in simplest form are: sin x = -√3/2, tan x = √3, sec x = -2/√3.

Subject:Mathematics ​

Answers

Answer:F : 13 1/2

Step-by-step explanation:27 divided by 2 is 13 1/2

how many square miles does ATC and radar services attempt to cover? How many aircraft at any given time is ATC monitoring, and spread over how many airports within the USA?

Answers

The work of providing air traffic control and radar services in the United States falls under the purview of the Federal Aviation Administration (FAA). ATC and radar services that  cover all airspace over the United States, regardless of whether flights are domestic or international.

What is the radar services

FAA provides ATC and radar services in the US. ATC and radar services cover all US airspace, including domestic and international flights. The FAA manages the NAS, covering 29.5 million sq mi. This includes airspace over the entire United States, including Alaska, Hawaii, Guam, Puerto Rico. VI ATC monitors varying number of aircraft based on time, weather, and traffic.

The FAA deals with 44k flights daily in the US. Note that this number may increase during peak travel periods. The FAA manages ATC for 13k+ US airports. Incl. international, regional, gen. aviation & priv. airstrips. The number can vary due to new or old airports.

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Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.)
f(x) = 3x2/3 − 2x
I keep getting stuck at taking the first derivative and solving for critical points. So please show all work and even some of the tedious algebra bits included so I can see where I'm messing up?

Answers

The function f(x) = 3x²/3 - 2x has no intercepts, a relative minimum at (1, -1), no points of inflection, and no asymptotes.

Intercepts: To find the x-intercepts, we set f(x) equal to zero and solve for x:

0 = 3x²/3 - 2x

0 = x² - 2x

0 = x(x - 2)

x = 0 or x = 2

Therefore, both x = 0 and x = 2 are not actual x-intercepts, but rather double roots.

Relative Extrema: To find the relative extrema, we take the derivative of f(x) and set it equal to zero,

f'(x) = 2x - 2

0 = 2x - 2

2 = 2x

x = 1

Substituting x = 1 back into the original function, we find f(1) = -1. Therefore, the relative minimum occurs at (1, -1).

f''(x) = 2

Since the second derivative is a constant, it never equals zero. Therefore, there are no points of inflection for this function.

Asymptotes: To determine if there are any asymptotes, we examine the behavior of the function as x approaches positive or negative infinity. Since the highest power of x in the function is 2, the graph does not approach any vertical asymptotes.

For horizontal asymptotes, we look at the limits as x approaches positive or negative infinity:

lim(x→∞) f(x) = lim(x→∞) (3x²/3 - 2x) = ∞

The limits approach positive infinity in both cases, indicating that there are no horizontal asymptotes. Graphically, the function represents a parabola that opens upwards, with a relative minimum at (1, -1).

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The volume of a rectangular prism is 1,560 cm3. The height is 12 cm. The width is w and the length is w + 3. Find w.

Answers

Volume = w * h * l
w = w, h = 12, l = w + 3
1,560 = w * 12 * w + 3
1,560 = 12w^2 + 3
-12w^2 = 3 - 1,560
-12w^2 = -1557
w^2 = 519/4
w = 11.39079 cm
You can round it if you want

Answer:

w=10 cm

Step-by-step explanation:

The formula for the volume of a rectangular prism is V=whl.

So in this case, the equation would be 1560=w·12·(w+3). Then, we can simplify this equation.

1. Divide 12 to both sides of the equation. 1560/12=130. The equation becomes 130=w(w+3).

2. Distribute w through the parentheses, the equation becomes 130=w²+3w.

3. Then, -130 from both sides of the equation, so we can get the quadratic: w²+3w-130=0.

4. Factor the quadratic. w²+3w-130=(w-10)(w+13).

5. (w-10)(w+13)=0. w=10 or w=-13. However, w is the width of a rectangular prism, can the width of a shape be negative? No. So we can ignore the solution w=-13. Therefore, w=10cm.

6. To make sure our answer is correct, let's substitute the values back into the volume of a rectangular prism formula: V=whl. w=10; h=12; l=10+3=13; V=10(12)(13)=120*13=1560 cm³. As a result, our answer is correct, w=10 cm.

Hope this helps, have a nice day.

Work out
1/8
of 760

please help​

Answers

Answer: 95

Step-by-step explanation:

Think of 1/8 times 760 as 760/8 because it’s the same thing.

not sure how to do this. need help

Answers

Answer:

a) 25/2 or 12.5

b) 78,125

c) 625

d) 30,517,578,125

What is the slide e of the line shown below?

Answers

Answer:

13/6

Step-by-step explanation:

slope = (y2-y1)/(x2-x1) where the variables indicate the coordinates of the two points

slope = (-7-6)/(-5-1) = -13/-6 = 13/6

I need help with short sides of the triangles on Pythagorean theorem

Answers

Answer:

5

Step-by-step explanation:

13² - 12² = 25

√25 = 5

Have a great day <3

The sum of two nonnegative numbers is 20. Find the numbers if the sum of their squares is as large as possible; as small as possible.
a. The numbers are 10 and 10.
b. The numbers are 0 and 20.
c. The numbers are 1 and 19.
d. The numbers are 20 and 0.

Answers

Option D. The numbers are 20 and 0.

Let the two nonnegative numbers be x and y such that x + y = 20. We know that the sum of the squares of the two nonnegative numbers x and y is as large as possible and as small as possible.

x + y = 20, or y = 20 - x (Since the numbers are non-negative, x, y ≥ 0)

Substituting y = 20 - x into x² + y² = P (for the sake of simplicity), we get x² + (20 - x)² = Px² + 400 - 40x + x² = P

We will take the first derivative with respect to x now: 2x - 40 = 0x = 20

Therefore, one of the nonnegative numbers is 20, and the other is zero. Consequently, the smallest possible sum of squares is 400 (since 20² + 0² = 400).Option D. The numbers are 20 and 0.

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Given, the sum of two nonnegative numbers is 20.

The problem asks us to find the numbers if the sum of their squares is as large as possible; as small as possible.

Therefore, let's find the sum of their squares at first.If 'x' and 'y' are two numbers, then the sum of their squares is given by:

[tex]x^2 + y^2[/tex]

If the sum of two nonnegative numbers is 20, then one number can be written as x and the other number can be written as y in terms of x.

Thus,y = 20 − xNow, the sum of their squares:

[tex]x^2 + y^2 = x^2 + (20 - x)^2[/tex]
= [tex]x^2 + 400 + x^2 - 40x[/tex]
= [tex]2x^2 - 40x + 400[/tex]
The above expression represents a parabola which opens upward because the coefficient of x^2 is positive.

Therefore, the sum of the squares of the two numbers will be maximum at the vertex of the parabola.

The x-coordinate of the vertex can be found as

:−b/2a = −(−40)/(2.2) = 10Hence, x = 10 and y = 10.

Substituting x = 10 and y = 10, we get

[tex]x^2 + y^2 = 200.[/tex]

Now, to find the smallest value of the sum of their squares, we can observe that the smallest value of x is 0, and the largest value of y is 20.

Thus, if x = 0 and y = 20, we get x^2 + y^2 = 400.

Answer:  The numbers are 10 and 10. The numbers are 0 and 20.

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Osing Trig to Find a Side Apr 06, 5:40:44 PM In AOPQ, the measure of ZQ=90°, the measure of Z0=26°, and QO = 4.9 feet. Find the length of PQ to the nearest tenth of a foot. P (hypotenuse) X (opp. of 20) 2009 Q 4.9​

Answers

Answer:5.4

Step-by-step explanation:

please help me .........​

Answers

Answer: the answer is b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

first add them together. the y cancels out and your left with 3x=15. divide by 3 on both sides and you get x=5. The only answer with positive 5 as an x value is b

The population of a city is 218720.
The population has been increasing at the rate of 2% per year.
What was the population 3 years ago?​

Answers

Correct Answer is 205,857

I’ll mark you brainlieist

Answers

1. Divide by 4
x < 5

2. Subtract 4
x < 21

3. Add 8
x > 40

4. divide by -4( flip inequality sign b/c dividing by negative) so > turns into >
x < -6

The rest using the same concept. Try them yourself and ask for help if you need it

These box plots show daily low temperatures for a sample of days in two different towns

Answers

A is the correct answer. The other choices don’t match the box plots.

Answer:

A. The median for town A, 30 degrees, is less than the median for town B, 40 degrees.

Step-by-step explanation:

Roy received math test scores of 05, 90, 90, and 85.
7. What is Roy's median test score?
8. What score would Roy need to get on
his next test to have a mean of 92

Answers

Median = 87.5 Sorry about the other one

7. 90

8. I maybe the other p help

A scalene triangle has sides measuring 200 feet, 107 feet, and 221 feet. What is the
perimeter of the triangle?

Answers

Answer:

P = 528

Step-by-step explanation:

P = a + b + c = 200 + 107 + 221 = 528

Please help if you wantbbrainleist! :(

Answers

Box 2 I believe is correct because 3 x 1 x 2 is 6.

Which equation represents a line which is perpendicular to the line
7x + 3y = -18?

Answers

Answer:

c y=6x+4

Step-by-step explanation:

c y=6x+4
Hope this helps you

Assume that all components of three panels, randomly selected and with 5, 5 and 5 components respectively, were examined. Assume that a component chosen at random is defective with probability 0.09 , independently of the other components.
What is the probability of detecting at most one defective component, when all components of these three panels are examined?

Answers

The probability of detecting at most one defective component when all components of the three panels are examined is approximately 0.78136 or 78.14%.

To calculate the probability of detecting at most one defective component when all components of the three panels are examined, we need to consider the possible combinations of defective components in each panel.

Let's break down the problem step by step:

Panel 1:

- There are 5 components in Panel 1.

- The probability of a component being defective is 0.09.

- We want to calculate the probability of detecting at most one defective component.

The probability of detecting no defective components in Panel 1 is:

P(0 defective) = (1 - 0.09)^5 = 0.52201

The probability of detecting exactly one defective component in Panel 1 is:

P(1 defective) = 5 * 0.09 * (1 - 0.09)^4 = 0.40408

The probability of detecting at most one defective component in Panel 1 is:

P(at most 1 defective) = P(0 defective) + P(1 defective) = 0.52201 + 0.40408 = 0.92609

Panel 2 and Panel 3 have the same probabilities as Panel 1 since they also have 5 components and the same probability of a component being defective.

Now, to calculate the probability of detecting at most one defective component when examining all three panels, we multiply the probabilities of each panel:

P(at most 1 defective in all three panels) = P(at most 1 defective in Panel 1) * P(at most 1 defective in Panel 2) * P(at most 1 defective in Panel 3)

                                          = 0.92609 * 0.92609 * 0.92609

                                          = 0.78136

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Which point is a solution to the inequality in this graph

Answers

Given:

The graph of an inequality.

To find:

The point which is a solution of the given graph of inequality.

Solution:

From the given graph it is clear that the boundary line of the graph is a dotted line. It means the points lie in shaded region are in the solution set but the points on the line are not included in the solution set.

The points (3,2) and (-3,-6) are lie on the boundary line. it means they are not the solution of the inequality represented by the given graph.

Point (5,0) lies on the positive x-axis at the distance of 5 units from the origin and it doesn't lies in the shaded region. So, (5,0) is not a solution.

Point (0,5) lies on the negative y-axis at the distance of 5 units from the origin and it lies in the shaded region. So, (0,5) is a solution.

Therefore, the correct option is B.

The range of a projectile that is launched with an initial velocity v at an angle of a with the horizontal is given by R

sin

where g is the acceleration due to gravity or 9.8 meters per second squared. If a projectile is launched with an initial velocity of 1

meters per second, what angle is required to achieve a range of 20 meters? Round answers to the nearest whole number.

Answers

Answer:

[tex]\theta=30.285^{\circ}[/tex]

Step-by-step explanation:

The range of a projectile is given by :

[tex]R=\dfrac{u^2\sin2\theta}{g}[/tex]

Put R = 20 m, u = 15 m/s and finding the value of angle of projection

So,

[tex]R=\dfrac{u^2\sin2\theta}{g}\\\\\sin2\theta=\dfrac{Rg}{u^2}\\\\\sin2\theta=\dfrac{20\times 9.8}{15^2}\\\\\sin2\theta=0.871\\\\2\theta=\sin^{-1}(0.871)\\\\2\theta=60.57\\\\\theta=30.285^{\circ}[/tex]

So, the required angle of projection is equal to [tex]30.285^{\circ}[/tex].

Claim: the average age of online students is 32 years old. Can you prove it is not? What is the null hypothesis? o What is the alternative hypothesis? What distribution should be used? o What is the test statistic? o What is the p-value? o What is the conclusion? o How do we interpret the results, in context of our study? • Claim: the proportion of males in online classes is 35%. Can you prove it is not? o What is the null hypothesis? o What is the alternative hypothesis? o What distribution should be used? o What is the test statistic? o What is the p-value? o What is the conclusion? o How do we interpret the results, in context of our study?

Answers

To predict a linear regression score, you first need to train a linear regression model using a set of training data.

Once the model is trained, you can use it to make predictions on new data points. The predicted score will be based on the linear relationship between the input variables and the target variable,

A higher regression score indicates a better fit, while a lower score indicates a poorer fit.

To predict a linear regression score, follow these steps:

1. Gather your data: Collect the data p

points (x, y) for the variable you want to predict (y) based on the input variable (x).

2. Calculate the means: Find the mean of the x values (x) and the mean of the y values (y).

3. Calculate the slope (b1): Use the formula b1 = Σ[(xi - x)(yi - y)]  Σ(xi - x)^2, where xi and yi are the individual data points, and x and y are the means of x and y, respectively.

4. Calculate the intercept (b0): Use the formula b0 = y - b1 * x, where y is the mean of the y values and x is the mean of the x values.

5. Form the linear equation: The linear equation will be in the form y = b0 + b1 * x, where y is the predicted value, x is the input variable, and b0 and b1 are the intercept and slope, respectively.

6. Predict the linear regression score: Use the linear equation to predict the value of y for any given value of x by plugging in the x value into the equation. The resulting y value is your predicted linear regression score.

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A pool manager balances the pH level of a pool. The price of a bucket of chlorine tablets is $90, and the price of a pH test kit is $11. The manager uses a coupon that applies a 40% discount to the total cost of the two items. How much money does the pool manager pay for each item?

Answers

Answer:

The chlorine tablets are $36 and the pH test kit is $4.40.

Step-by-step explanation:

So what I first did was add 90+11 (because $90 for the chlorine tablets and $11 for the pH kit). The answer you should get is 101.  From their I did 101 multiplied by 40% or 101 multiplied by .40 (40% and 0.40 are the same thing). You now get $40.4.  

Now I did 90·40%. I got $36

Then I did 11·40%. I got 4.4

I added them up and got $40.4 which was my new price so now we know that the chlorine tablets are $36 and the pH test kit is $4.40.

Please help, Im stuck on this part of a review and Im really confused asap

Answers

Answer:

( 6, -1 )

Step-by-step explanation:

When you rotate 1 from the x axis by 90° it becomes -1 from the y axis.

When you rotate 6 by 9° from thr y axis, it becomes again 6 on the x axis

Your new x value is 6 and y is -1

So (6,-1)

Answer:

(-6, 1)

Step-by-step explanation:

To find the point obtained by rotating point P = (1, 6) counterclockwise by an angle of 90 degrees (r₉₀°), we can use the rotation formula:

x' = x * cos(θ) - y * sin(θ)

y' = x * sin(θ) + y * cos(θ)

In this case, θ is 90 degrees.

Substituting the values into the formula:

x' = 1 * cos(90°) - 6 * sin(90°)

y' = 1 * sin(90°) + 6 * cos(90°)

cos(90°) = 0 and sin(90°) = 1, so we have:

x' = 1 * 0 - 6 * 1 = -6

y' = 1 * 1 + 6 * 0 = 1

Therefore, r₉₀°(P) = (-6, 1). The point P = (1, 6) rotates counterclockwise by 90 degrees to the point (-6, 1).

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bro I NEED HELP FAST

Answers

It’s D 2 1/3 because 1/3 each 3 days is 3/3 and then plus another one is 6/3 and plus one more is 9/3

Let {N(t),t > 0} be a renewal process. Derive a renewal-type equation for E[SN (1)+1).

Answers

The renewal-type equation for E[SN(1)+1] is E[SN(1)+1] = 2, indicating that the expected value of the sum of the number of renewals by time 1 plus 1 is equal to 2.

To derive a renewal-type equation for E[SN(1)+1], we can use the renewal-reward theorem.

Let Tn be the interarrival times of the renewal process, where n represents the nth renewal. The random variable N(t) represents the number of renewals that occur by time t.

Using the renewal-reward theorem, we have:

E[SN(1)+1] = E[T1 + T2 + ... + TN(1) + 1]

Since the interarrival times are independent and identically distributed (i.i.d.), we can express this as:

E[SN(1)+1] = E[T] * E[N(1)] + 1

Now, we need to compute the expressions for E[T] and E[N(1)].

E[T] represents the expected interarrival time, which is equal to the reciprocal of the renewal rate. Let λ be the renewal rate, then E[T] = 1/λ.

E[N(1)] represents the expected number of renewals by time 1. This can be calculated using the renewal equation:

E[N(t)] = λ * t

Therefore, E[N(1)] = λ * 1 = λ.

Substituting these expressions back into the renewal-type equation, we have:

E[SN(1)+1] = (1/λ) * λ + 1 = 1 + 1 = 2

Hence, the renewal-type equation for E[SN(1)+1] is E[SN(1)+1] = 2.

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Alinear trendline used to forecast sales for a given time period takes the form y = b+ bil. increases by , then the estimated y value all else e tone period, increases, b1; constant o tone period, increases, bo, constant bione period, increases; bo constant bi: one period, increases bi: constant

Answers

The linear trendline used to forecast sales for a given time period takes the form y = b0 + b1t, where y represents the estimated sales, b0 is the constant term, b1 is the coefficient of the time period variable (t), and t is the time period.

In this equation, the coefficient b1 determines the relationship between the time period and the estimated sales. If b1 increases, it means that for each additional time period, the estimated sales will also increase. On the other hand, if b1 is constant, it implies that the estimated sales do not change with each additional time period.

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Other Questions
Sharon is considering the purchase of a car. After making the down payment, she will finance $10,270. Sharon is offered three maturities. On a four-year loan, Sharon will pay $236.51 per month. On a five-year loan, Sharon's monthly payments will be $193.81. On a six-year loan, they will be $165.40. Sharon rejects the four-year loan, as it is not within her budget. So, Sharon would pay $1,358.60 in interest over the life of the five-year loan. On the six-year loan, Sharon would pay $1,638.80 in interest. If Sharon had been able to afford the four-year loan, how much interest would she have saved compared to the five-year loan? The interest Sharon would have paid on the four-year loan is $ __________. Dane Company budgets total overhead cost of $7,200,000. The company allocates overhead cost based on 100,000 budgeted direct labor hours. The single plantwide overhead rate is:$36 per MH.$36 per DLH.$72 per MH.$72 per DLH.None of the above. Which of these advances did the Han scientists make? Select all that apply. A. Created more accurate calendars B. Devised the base-20 number system C. Developed the concept of zero D. Invented the compass rectangle has a perimeter of 64.8 millimeters and a base of 15.8 millimeters. What is the height? On May 10, Ayayai Corp. issues 3,200 shares of $6 par value common stock for cash at $15 per share. Prepare a tabular summary to record the issuance of the stock. Include margin explanations for the changes in revenues and expenses. (If a transaction causes a decrease in Assets, Liabilities or Stockholders' Equity, place a negative sign for parentheses) in front of the amount entered for the particular Asset, Liability or Equity item that was reduced.) Assets Liabilities Paid-in-Capital PIC in Exce Common Stock Par Value Cash $ $ May 10 On May 10, Ayayai Corp. issues 3,200 shares of $6 par value common stock for cash at $15 per share. Prepare a tabular summary to record the issuance of the stock. Include margin explanations for the changes in revenues and expenses. (If a transaction causes a decrease in Assets, Liabilities or Stockholders' Equity, place a negative sign for parentheses) in front of the amount entered for the particular Asset, Liability or Equity item that was reduced.) Stockholders' Equity Retained Earnings renue Expense Dividend $ Paid-in-capital in excess of common stock Common stock Paid-in-capital in excess of preferred stock Dividends Interest expense Preferred stock e Textbook and Media Arraunts Which of the following will most likely reduce the natural unemployment rate? an ne A Increasing welfare payments B Reducing unemployment compensation C Increasing the minimum wage D increasing the bargaining strength of labor unions If two entire functions agree on a segment of the real axis, must they agree on C? The hour, 09 minutes 47 seconds Question completion ratus Question 12 3 points OLOGY a companied budget of 5 million, the MARR valon for this company, assuming the feasible project options shown in the age below,equals vom Lamal Rate Independet pject (Demand er alle elected 20 20 20 11 1F D 10 Cumulative resment Amount (Gillies of Dollars) Trait theorists have been criticized for select one:a. Overestimating the consistency of behavior from one situation to anotherb. Underestimating the potential influence of biological factors on personality developmentc. Underestimating the extent to which people differ from one anotherd. Overestimating the importance of reciproocal determinism on adult personality traits Kingdom Corporation has the following. Preferred stock, $10 par value, 9%, 50,000 shares issued $500,000 - Common stock, $15 par value, 300,000 shares issued and outstanding $4,500,000 In 2020. The company declared and paid $30,000 of cash dividends In 2021, The company declared and paid $150,000 of cash dividend Required: How much is the TOTAL cash dividends that will be distributed to preferred and common stockholders over the two years, assuming the preferred stock is cumulative Please DO NOT use the "S" and "," signs in you answer. For example, if the right answer is Preferred $10,000 and Common $15,000, it should be EXACTLY written as: 10000 15000 Preferred Common Technology has been changing working lives and employment for many years. The Covid 19 pandemic over the last 2 years has further accelerated many of these changes. Discuss the impact technology has had on work and summarise what this means for individuals. How could the firm managers in "identifying assets in low-valued uses and devise ways to profitably move them to higher-valued uses" (Froeb et al, 2018)? mesoscale convective systems can be as much as a few hundred miles across. barton industries expects that its target capital structure for raising funds in the future for its capital budget will consist of 40% debt, 5% preferred stock, and 55% common equity. note that the firm's marginal tax rate is 25%. assume that the firm's cost of debt, rd, is 10.8%, the firm's cost of preferred stock, rp, is 10.0% and the firm's cost of equity is 13.4% for old equity, rs, and 13.7% for new equity, re. what is the firm's weighted average cost of capital (wacc1) if it uses retained earnings as its source of common equity? do not round intermediate calculations. round your answer to two decimal places. in salt water fish, chloride cells in the gills: question 7 options: a) actively transport cl- from the plasma to the ecf. b) actively transport cl- from the external environment to the ecf. c) actively transport cl- from the ecf to the external environment. d) passively transport cl- from the ecf to the external environment. Boba Fett has been employed in the accounts payable department as an A/P Supervisor for the past 3 years by Beskar Metal Works Inc. (BMW), a public Canadian corporation incorporated in Ontario in 2014. BMW is a leading wholesaler of beskar metals across Canada. Boba has asked you, Sasha Banks CPA, the trusted tax person at BMW for your help in the preparation of their 2021 personal tax return. Boba has provided you with the following information about receipts, selected disbursements and the following information/calculations.1. Salary $130,000Deductions:Income taxes $36,000Canada Pension Plan premium $3,166Utilities (500/2,500 * $1,500) $300Employment Insurance premium $889Clothing costs $1,900Home office supplies $600Group accident disability insurance premiums $1,200 (44,055)Net Income $ 85,9452. On December 13th, 2021 Boba requested and received from BMW an advance of $6,500 against his 2022 salary. Boba needed the advance to pay for his family to attend Comicon in Detroit over the latter part of December. A cheque for $6,500 was paid through the accounts payable department at BMW. Bobas monthly payments in January 2022 was reduced by $6,500 as a means for Boba to pay back the advance.3. In 2018 BMW granted Boba stock options to purchase a total of 7,000 shares over the next 6 years. The exercise price of these shares is $44 and the fair market value of the shares on the grant date was $40 per share. In 2021, Boba exercised the option to purchase 1,000 of the shares when the market price per share was $56. Boba did not dispose of these shares during 2021 and this was the first time Boba had purchased any shares.4. Image is important at BMW, as such in 2021 Boba was provided with a $2,400 clothing What is your investment preferences and how can you justify them considering age, family situation, incomes etc? of the options below, which is the most effective way to explain the major changes and details of a new workplace policy for requesting vacation time? The CS department has received several applications for teaching assistant positions from its students. The applicants are provided with the list of available courses and asked to submit a list of their preferences. The TA committee at UTCS prepares a sorted list of the applicants (according to the applicants' background and experience) for each course and the total number of TAs needed for the course. Note that there are more students than available TA spots. There can also be multiple TAS per course, though a single TA can only be assigned to 1 course. Making matter more complicated, applicants and the committee can be indifferent between certain options. For example, a TA could have Algorithms at the top of their list, a tie between OS and Graphics, and Advanced Underwater Basketweaving in last place. The committee can be in a similar position, e.g. with applicant A being the top pick for a particular class, A2 being the second choice, and A3 and A4 tied for third. We will say that A prefers C to Cliff C is ranked higher than C" on his preference list (i.e. they are not tied). The committee wants to apply an algorithm to produce stable assignments such that each student is assigned to at most one course. The assignment of the TAs to courses is strongly stable if none of the following situations arises. 1. If an applicant A and a course C are not matched, but A prefers C more than his assigned course, and C prefers A more than, at least, one of the applicants assigned to it. 2. If there is unmatched applicant A, and there is a course C with an empty spot or an applicant A' assigned to it such that C prefers A to A'. Your task is to do the following: i Modify the Gale-Shapley algorithm to find a stable assignment for the TAs-Courses matching problem. Write pseudo code of modified algorithm. (5 points) ii Prove that the modified algorithm produces stable TAS- courses assignment MC2 Rajang Inc. made $2,000,000 in credit sales and has $800,000 of accounts receivable at the end of the period. They also have a credit balance of $5,500 in their allowance for doubtful accounts. Rajang Inc. believes that 1% of their net credit sales will be uncollectable. What would they record as their bad debt expense for the period? Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a 25,500 b 20,000 14,500 d 8,000