find the shaded region of the figure below​

Find The Shaded Region Of The Figure Below

Answers

Answer 1

Answer:

-x³ + 3x² - 14x + 12

Step-by-step explanation:

Area of outer rectangle = (x² + 3x - 4) * (2x - 3)

      = (x² + 3x - 4) * 2x  + (x² + 3x - 4) * (-3)

     =x²*2x + 3x *2x - 4*2x  + x² *(-3) + 3x *(-3)  - 4*(-3)

     =2x³ + 6x² - 8x - 3x² - 9x + 12

    = 2x³ + 6x² - 3x²   - 8x - 9x + 12     {Combine like terms}

    = 2x³ + 3x² - 17x + 12

Area of inner rectangle = (x² - 1)* 3x

                                       = x² *3x - 1*3x

                                       = 3x³ - 3x

Area of shaded region = area of outer rectangle - area of inner rectangle

         = 2x³ + 3x² - 17x + 12 - (3x³ - 3x)

         = 2x³ + 3x² - 17x + 12 -3x³ + 3x

        = 2x³ - 3x³ + 3x² - 17x + 3x + 12

        = -x³ + 3x² - 14x + 12


Related Questions

I am sorry i am wasting your time please help!

Answers

Step-by-step explanation:

True

false

false

true

i think its that I'm sorry if its wrong

Erika pours 6 cups of milk into 8 glasses. Each glass has the same amount of milk. How many cups of milk are in each glass?

Answers

Answer:

each glass will have 0.75 of a cup or 3/4 of a cup * 0.75 and 3/4 is the same*

what is the solution to the inequality of x+2<5

Answers

Answer:

Any number below 3

(2, negative infinity)

Answer:

here's the answer with steps

x + 2 < 5

-2 -2

x < 3

HELP HELP HELP HELP HEPL HELP

Answers

Answer:

The answer would be Y= 1/4X -3

Step-by-step explanation:

Hope it was helpful .

Good luck ^.^


Alex and Jack work for a computer software company. Alex can write a computer program in 24 hours, while
Jack can write it in 16 hours. How long will it take them to write the program together?

Answers

Alex and Jack work for a computer software company. Alex can write a computer program in 24 hours, while

Jack can write it in 16 hours. How long will it take them to write the program together?

Answer: 9.6 hours

Please help, will mark ya if right

Answers

Answer:

It's A I think. I did the math on math.way and it was differeten the the answers you have.

Step-by-step explanation:

Name the coordinates of P if P(0, 4) is rotated 180°

Answers

Answer:

P'(0, -4)

Step-by-step explanation:

when a coordinate (x, y) is rotated by 180 degrees, the resulting coordinate will be (-x, -y). Note that each coordinate is negated when rotated about 180 degrees

Given the coordinate P (0, 4). When rotated by 180 degrees, the resulting coordinate will be at P'(0, -4)

A cubic polynomial with a critical point at x=2, an inflection point at (1,4), and a leading coefficient of 1

Answers

If a critical point at x=2, an inflection point at (1,4), and a leading coefficient of 1, the final formula for the cubic polynomial is f(x) = x³ - 3x² + 12x - 6.

To find the formula for a cubic polynomial with specific properties, we can start by considering the critical point and the inflection point.

Given that the critical point is at x = 2, we know that the derivative of the cubic polynomial should be equal to zero at x = 2. This means that the slope of the polynomial at x = 2 is zero. Taking the derivative of the cubic polynomial, we have:

f'(x) = 3ax² + 2bx + c.

Setting this equal to zero and substituting x = 2, we get:

3a(2)² + 2b(2) + c = 0.

12a + 4b + c = 0.

Now, let's consider the inflection point at (1,4). We know that the second derivative of the cubic polynomial should be zero at x = 1. Taking the second derivative, we have:

f''(x) = 6ax + 2b.

Setting this equal to zero and substituting x = 1, we get:

6a(1) + 2b = 0.

6a + 2b = 0.

Solving the system of equations consisting of 12a + 4b + c = 0 and 6a + 2b = 0, we find a = -1/2, b = 3/2, and c = -6.

Therefore, the formula for the cubic polynomial is:

f(x) = -1/2x³ + 3/2x² - 6x + d.

The leading coefficient is 1, so we have:

f(x) = x³ - 3x² + 12x + d.

To determine the value of d, we can use the fact that the inflection point is (1,4). Substituting x = 1 and y = 4 into the equation, we get:

4 = 1 - 3 + 12 + d.

4 = 10 + d.

d = -6.

Therefore, the final formula for the cubic polynomial is:

f(x) = x³ - 3x² + 12x - 6.

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Complete question is:

Find the formula for a cubic polynomial, ax³+bx²+cx+d,  with a critical point at x=2, an inflection point at (1,4), and a leading coefficient of 1.


Please show that a code of distance 2t + 1 can correct t or
fewer transmission errors when the minimum distance decoding
criteria is considered.

Answers

A code with distance 2t + 1 can correct t or fewer errors using the minimum distance decoding criteria.

When considering the minimum distance decoding criteria, a code with a minimum distance of 2t + 1 can correct t or fewer transmission errors.

The minimum distance of a code refers to the smallest number of bit flips or symbol errors needed to transform one valid codeword into another. In this case, the distance is 2t + 1, which means that any two valid codewords in the code will have a minimum Hamming distance of at least 2t + 1.

By choosing the minimum distance decoding criteria, the decoder can identify and correct up to t or fewer transmission errors. This is because if the received codeword differs from the transmitted codeword by t or fewer errors, it will still be closer to the intended codeword than any other codeword in the code.

Therefore, the decoder can successfully correct these errors and recover the original transmitted message.

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define isometric angle ​

Answers

Answer:

it's just a angle that is 3D

Step-by-step explanation:

Mrs. Bruce wants to put in a swimming pool with a deck around the perimeter of the pool. The pool will be rectangular shaped and will have dimensions of 12 feet by 20 feet. The deck around the perimeter will be uniformed in width and have a total area of 68 square feet. Find the width of the deck.

Hint: Draw and accurately label a sketch of the deck and pool in the space below.

Answers

Answer:

I think! 3.5 feet wide

Step-by-step explanation:

the area of the pool is 240 square feet. divide by 68 square feet gives you 3.539= 3.5 feet wide. dont shoot me if I'm wrong lol

The width of the deck is approximately 2.65 feet.


How to calculate the width?

To solve the problem, we need to first find the total area of the pool and deck combined, and then subtract the area of the pool to find the area of the deck.

The total area of the pool and deck can be represented as follows:

(12 + 2x) x (20 + 2x)

where x is the width of the deck.

The area of the pool is:

12 x 20 = 240

So, the area of the deck can be found by subtracting the area of the pool from the total area:

(12 + 2x) x  (20 + 2x) - 240 = 68

Expanding the left side and simplifying, we get:

4x²+ 64x - 208 = 0

Dividing both sides by 4, we get:

x²+ 16x - 52 = 0

Using the quadratic formula, we get:

x = (-b ± √(b² - 4ac)) / 2a

Where a = 1, b = 16, and c = -52.

Plugging in these values, we get:

x = (-16 ± √(16² - 4(1)(-52))) / 2(1)

x = (-16 ± √(960)) / 2

x = (-16 ± 4√(15)) / 2

x = -8 ± 2√(15)

Since the width of the deck cannot be negative, we can discard the negative solution, and we are left with:

x = -8 + 2√(15)

So, the width of the deck is approximately 2.65 feet.

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please help me understand this.Will mark brainlyist to right answer no links!!!

Answers

Wowowow
Answer:45
Explain

Find a sufficient statistics for 8. Problem 7 Let X₁.... X be iid according to a uniform continuous distribution over the open interval (0,0+1), for 0> 0. Find a minimally sufficient statistics for 0.

Answers

Given that X₁, X₂, ..., Xₙ are iid according to a uniform continuous distribution over the open interval (0,0+1).

Now, we have to find a sufficient statistics for 8.Let T = ∑Xᵢ, then T ~ U(n*0,n).Thus, T is a sufficient statistic for θ.Hence, T is a sufficient statistics for 8.

Given that X₁, X₂, ..., Xₙ are iid according to a uniform continuous distribution over the open interval (0,0+1).

We have to find a minimally sufficient statistics for

Let T = (X(n), X(1)), where X(n) = max{X₁,X₂, .... Xₙ} and X(1) = min{X₁,X₂, .... Xₙ}.As Xᵢ follows uniform distribution, so T can take any value in [0, 1].

Let Y = nX(n)/(1-X(n)), thenY = (nX(n))/(1-X(n)) = (nX(n))/(X(n)-X(1)) = 1/[(X(n)-X(1))/n].Now, 0 < X(1) ≤ X(n) < 1. Therefore, 0 < (X(n)-X(1))/n ≤ 1/n. Then, Y takes values in [0,∞).Thus, Y is a one-to-one function of T.

Hence, T is a minimally sufficient statistics for 8.

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Find y.
30
20
Need help asap

Answers

Answer:

y = 10

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{20}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2y = 20 ( divide both sides by 2 )

y = 10

$35 sweater ; 18% discount ; 3% tax ; find sales price

Answers

Answer: $27.65

Step-by-step explanation:

0.18 = 6.3

Discount = $6.3

0.03 = 1.05

Tax = 1.05

35 - 6.3 - 1.05 = 27.65

Marcie Ann Weber, age 32, takes out $15,000 of a term insurance for a ten year term.


a. annual premium: $ a0

b. monthly premium: $ a1

Answers

Answer:

Step-by-step explanation:

a. annual premium: 79.35

b. monthly premium: 7.14

Marcie Ann Weber, age 32, takes out $15,000 of a term insurance for a ten-year term. Annual premium = $1,500 per year and monthly premium = $125 per month.

What is division?

One type of operation is division in mathematics. In this procedure, the phrases or numbers are divided into the same number of components.

Given: Marcie Ann Weber,

insured amount of term insurance plan = $15,000.

Number of year = 10 year

To find the amount of annual premium:

Divide the total insured amount by number of years.

Annual premium = Insured amount of term insurance plan / Number of year

Annual premium = $15,000 / 10

Annual premium = $1,500 per year

To find the amount of monthly premium:

Monthly premium = Insured amount of term insurance plan / Number of month in 10 year

Monthly premium = 15,000 / (10 x 12)

Monthly premium = 15,000 / 120

Monthly premium = $125 per month.

Therefore, annual premium = $1,500 per year and monthly premium = $125 per month.

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How do we find the factors of x2 – 64
Find numbers that multiply to be O but adds to be -64
O Find numbers that multiply to be 1 but adds to be -64
Find numbers that multiply to be -64 but adds to be 1
Find numbers that multiply to be -64 but adds to be 0

Answers

Answer:

The factors of x²-64 is equal to (x-8)(x+8).

Step-by-step explanation:

The given expression is:

x²-64

we know that, 8² = 64

So,

(x²-8²) = (x-8)(x+8) [As (a-b)(a+b) = a²-b²]

So, the factors of x²-64 i equal to (x-8)(x+8).

The area of the carpet is 48x^2y+16xy^2, if the width is 8xy inches, what is the length of the carpet?

Answers

Answer:

Step-by-step explanation:

(48x^2)(y) + (16x)(y^2).

This is addition, so the distributive property applies. [(48x^2)(y) + (16x)(y^2)]/8xy = (48x^2)(y)/8xy+(16x)(y^2)/8xy = 6x+2y.

Division rules are explained below.

I included the parentheses to emphasize the difference between x^2y, which means x to the 2y, and (x^2)(y), which is x^2 times y.

48/8 = 6x^2 times y divided by 8xy equals x because x^2/x = x^(2-1), because x=x^1,  and so, equals x; The same y^2/y. The other 2 y's and 2 x's cancel.

TELL ME IF THIS IS CONFUSING<,BECAUSE I DON'T THINK I EXPLAINED VERY WELL.

Two power providers are marketing their electricity plans to residential customers. Everyday Electric Company offers a plan with a base cost of $50 per month plus $0.075 per kilo-watt-hour (kwh) used. Consumer Power Limited offers a plan with a base cost of $30 per month plus $0.125 per kilo-watt-hour (kwh) used. Which graph correctly compares the cost of these competing electricity plans?`

Answers

Answer:

D

Step-by-step explanation:

When the data are interval, the parameters of interest are the population mean μ and the population variance σ².
state whether the following statement is True or False ( if false, motivate your answer).

Answers

The statement is true that:

When the data are interval, the parameters of interest are the population mean μ and the population variance σ² .

Given,

Mean and standard variance .

Here,

An interval estimator provides a range of values as an estimate of a parameter, considering uncertainty, while a point estimator provides a single value estimate. The Student's t-distribution is used when the population standard deviation is unknown, and the z-distribution is used when it is known.

Support for the statement:

True: When the data are interval, the parameters of interest are the population mean (μ) and the population variance (σ^2). The population mean represents the average value of the variable of interest in the population, while the population variance measures the variability or spread of the variable in the population.

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Prove or disprove each of the following statements. (a) Let x be an integer. If 4x² + 3x + 7 is odd, then x must be even. (b) Let A, B and C be sets. If A - C ≤ B - C, then A ≤ B.

Answers

The statement is False.

(a) Let x be an integer. If 4x² + 3x + 7 is odd, then x must be even.Statement (a) is false.

Here is the explanation:We know that an integer is odd if and only if it can be represented in the form of 2k + 1, where k is any integer.Let us assume that x is an odd integer. Then, we can write x as 2k + 1, where k is any integer.Substituting the value of x in 4x² + 3x + 7, we get;4x² + 3x + 7 = 4(2k + 1)² + 3(2k + 1) + 7= 4(4k² + 4k + 1) + 6k + 3 + 7= 16k² + 16k + 4 + 6k + 10= 16k² + 22k + 14= 2(8k² + 11k + 7)which is an even integer as it is a multiple of 2.

Therefore, we have proven that if x is odd, then 4x² + 3x + 7 is even.So, we have disproved the statement as it is not true for all integers. It's only true for odd integers only. Therefore, statement (a) is false.

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write an equation that states (x,y) is the same distance from (4,1) as it is from the x-axis.

Answers

The equation that states (x, y) is equidistant from (4, 1) and the x-axis is -8x - 2y + 17 = 0.

To express that the point (x, y) is equidistant from both the point (4, 1) and the x-axis, we can set up an equation using the distance formula.

The distance formula states that the distance between two points (x₁, y₁) and (x₂, y₂) is given by:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

In this case, we want the distance from (x, y) to (4, 1) to be equal to the distance from (x, y) to the x-axis. The x-axis can be represented by the equation y = 0.

Let's set up the equation:

√((x - 4)² + (y - 1)²) = √((x - x)² + (y - 0)²)

Simplifying, we get:

√((x - 4)² + (y - 1)²) = √(x² + y²)

To remove the square roots, we can square both sides of the equation:

((x - 4)² + (y - 1)²) = (x² + y²)

Expanding and simplifying further, we have:

x² - 8x + 16 + y² - 2y + 1 = x² + y²

Combining like terms, we obtain:

-8x - 2y + 17 = 0

Therefore, the equation that states (x, y) is equidistant from (4, 1) and the x-axis is -8x - 2y + 17 = 0.

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helpppp plsssss(I’ll give 80 pointssss

Answers

Answer:

-4 + -6 = -10

Step-by-step explanation:

From the line at negative 4 it goes to negative 10 you need to add six to four to make ten. Though since it is negative numbers we add a negative 6

The Great Knightrola Small Monster Association has four chartered positions: President, Vice President, Treasurer, and Secretary; it also has 12 officers chosen at large. All of these seats must be filled by members of GKSMA, of which there are 50. No member may hold more than 1 position. How many different ways are there to fill the positions

Answers

Answer:

Number of different ways of filling the position is   8961115245946500

Step-by-step explanation:

There are total of 4 positions which can be arranged in 4! Ways  

Like wise there are 12 positions. Hence the number of arrangements for these 12 positions would be 12!

Overall there are 12+4 = 16 positions in which 50 people needs to be arranged

Number of different ways of filling the position is  

50P16 /(12! *4!)

= 8961115245946500

The number of different ways of filling the position is,  8961115245946500

There are total of 4 positions can be arranged in 4! Ways  

Similarly  there are 12 positions.

Therefore, the number of arrangements for these 12 positions is  12!

When we use the permutation?

If there is an arrangement of the data then we use the permutation

Therefore we can say that there are 12+4 = 16 positions in which 50 people needs to be arranged.

The number of different ways of filling the position is,

[tex]50P16 /(12! *4!)[/tex]

By using the calculater you can find,

= 8961115245946500

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» 40 students were asked their favourite
shoe colour.
What percentage chose white?

Answers

Answer: 40% i think

Step-by-step explanation:

What is
(f + g)(x)?
f(x) = x2 – 36
g(x) = x3 + 2x2 – 10
Enter your answer in standard form in the box

Answers

Answer:

x^3+3x^2-46

Step-by-step explanation:

Please help!
Which equation represents the relationship shown in the table?

Answers

Answer:

[tex]g \: y = 2x - 3 \\ [/tex]

if you insert x and y values in equation you can find the exact equation

Find a*b. a = (4, 1, 1/5), b = (6,-4, -15)

Answers

The calculated product of the vectors a and b is 17

How to calculate the product of the vectors

From the question, we have the following parameters that can be used in our computation:

a = (4, 1, 1/5) and b = (6,-4, -15)

The product of the vectors can be calculated using

a * b = Sum of products of each position

Using the above as a guide, we have the following:

a * b = 4 * 6 + 1 * -4 + 1/5 * -15

Evaluate the expression

a * b = 17

Hence, the product of the vectors a and b is 17

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A radiograph technician has a technique of 30 mAs and 120 kV at 100 cm SID with a 5:1 grid, and produces an intensity of 100 mR. If she wants to keep maintain exposure at: 200 cm, a 10:1 grid, with 138 kV , what should the new mAs be?

Answers

The new mAs should be approximately 45 mAs.
The intensity of radiation at a given distance can be calculated using the inverse square law:

Intensity2 = Intensity1 × (Distance1/Distance2)^2

Given:
Intensity1 = 100 mR
Distance1 = 100 cm
Distance2 = 200 cm

Using the above formula, we can calculate the new intensity at 200 cm:

Intensity2 = 100 mR × (100 cm/200 cm)^2
Intensity2 = 100 mR × (1/4)
Intensity2 = 25 mR

To maintain the same exposure at the new distance, the new mAs needs to be adjusted accordingly. We can use the exposure maintenance formula:

mAs2/mAs1 = (kVp2/kVp1) × (Distance1/Distance2)^2 × (Gridratio2/Gridratio1)^2

Given:
mAs1 = 30 mAs
kVp1 = 120 kV
kVp2 = 138 kV
Gridratio1 = 5:1
Gridratio2 = 10:1

Substituting the given values into the formula, we can solve for mAs2:

mAs2/30 mAs = (138 kV/120 kV) × (100 cm/200 cm)^2 × (10/5)^2
mAs2/30 mAs = (1.15) × (0.5)^2 × (4)
mAs2/30 mAs = 1.15 × 0.25 × 4
mAs2/30 mAs = 0.115

Simplifying, we find:
mAs2 = 30 mAs × 0.115
mAs2 ≈ 3.45 mAs

Therefore, the new mAs should be approximately 45 mAs (rounded to the nearest whole number) to maintain exposure at 200 cm with a 10:1 grid and 138 kV.

To maintain exposure at a new distance of 200 cm with a 10:1 grid and 138 kV, the radiograph technician should set the new mAs to approximately 45 mAs. This adjustment takes into account the changes in distance, kV, and grid ratio while ensuring that the radiation intensity remains consistent.

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Write a word problem for 1/3 X 2/3 . Use our definition of
multiplication and math drawings to
determine the answer to the multiplication problem. Explain
clearly.

Answers

The pizza is divided into 6 equal pieces in total: 3 initial slices, each further divided into 2 equal pieces.

A pizza is cut into 3 equal slices. Each slice is then cut into 2 equal pieces. How many pieces of pizza are there in total?

To solve this problem, we can use our definition of multiplication. Multiplication is repeated addition. In this case, we are repeatedly adding 2 to itself 3 times. This gives us 2 + 2 + 2 = 6. Therefore, there are 6 pieces of pizza in total.

We can also use math drawings to solve this problem. Here is a math drawing that shows how to find the product of 1/3 * 2/3:

The first row of the math drawing shows 1/3 of a pizza. The second row shows 2/3 of a pizza. The third row shows the product of 1/3 * 2/3. As you can see, the product is 6 pieces of pizza.

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How is profit calculated? 0/2 pts O Profit = Average revenue - Average costs Profit = Total revenue - Average costs O Profit = Total revenue - Total costs O Profit = Average revenue - Total costs Complete the function Calculate Toll. Use an if statement to determine if the vehicle's weight is over 5,000 pounds. Ex: Calculate Toll (10, 3500) yields 20.Hint: An if statement has a closing end statement. In order to purchase manufacturing equipment, a company borrows $1,610,000 from a bank. The bank charges an interest rate of 6.00% per year, compounded annually. After 7 years, the company repays the bank in one single payment.a) How much is the company required to pay the bank?b) How much of the money the company pays the bank is to cover the interest charges? 4. An equal rise in government spending and taxes will have what effect on the position of the aggregate demand curve? Explain how competitive advantage, strategy, and the strategic management process are interrelated.Explain extensively how strategy and structure are interrelated. Illustrate your point/s (provide concrete example/s) a resistor dissipates 2.15 w when the rms voltage of the emf is 12.0 v .At what rms voltage will the resistor dissipate 10.0 W? Lincoln Corporation purchases all of the assets of Matlock Corporation and, in writing, says that it does not take responsibility for the liabilities of Matlock Corporation. Lincoln services many of Matlock's former customers and employs many of Matlock's former employees. If an individual with a claim against Matlock files a lawsuit against Lincoln, a court would most likely a. dismiss the lawsuit because Lincoln did not own Matlock when the individual was injured by the Matlock. O b. allow the lawsuit because the purchase of assets was evidenced in writing. O c. allow the lawsuit, because the purchase of assets and continuation of Matlock's business amounted to what is basically a merger. d. dismiss the lawsuit, because there was no merger. Steam passes steadily through a turbine and condenser as shown in the figure below. After expanding through the turbine and producing 1000kW of power, the steam is at a pressure of 0.08 bar and a quality of 874: It enters a shell-and-tube heat exchanger where the steam now condenses on the outside of tubes through which cooling water flows, this condensate continues to flow, finally exiting as saturated liquid at 0.08 bar. The mass flow rate of the condensing steam is 58kg/s. In order to condense the steam, cooling water enters the tubes at 15" and flows as a separate stream to exit at 35C with negligible change in pressure. Stray heat transfer is negligible as are kinetic and potential effects. Considering the steam inside the turbine as a system, is the system best described as open, closed, or isolated? What is the mass flow rate of steam entering the turbine in kg/s? What is the enthalpy at the inlet of the turbine in kJ/kg? What is the mass flowrate of the cooling water in kg/s? If the diameter of the cooling water line is 10cm, what is the velocity of the cooling water in m/s when it enters the condenser? A 100kW pump is available to transfer the condensate to a storage tank (Le, the magnitude of Wdot_in is 100kW). What would be the maximum increase in height in meters that the pump could move the water assuming that the temperature, pressure, and velocity of the condensate are roughly equal at the inlet and outlet of the pump section? which phrase of the preamble best reflects concerns raised by shays rebellion? ""establish justice"" ""insure domestic tranquility"" ""promote the general welfare"" ""provide for the common defence"" Which of the following is true regarding setting personal debt limits? Can be more than one answer.a. Your mortgage loan and all credit card charges, especially those paid in full every month, are included in the debt payments-to-disposable income method.b. The debt limit according to the continuous-debt method is a four-year payoff period.c. For most people, your debt limit should be lower than what creditors are willing to offer.d. Under the debt-to-income method, the recommended maximum debt limit should be 50% When the income elasticity of demand for a good is negative, the good isa. Normal good.b. Luxury good.c. Inferior good.d. Giffen good. Suppose the real rate is 8 percent and the inflation rate is 2.6 percent. What rate would you expect to see on a Treasury bill? Multiple Choice O 9.73% O 9.19% O 12.43% 11.89% 10.81% O O Which two organizations are examples of a threat intelligence service that serves the wider security community?(Choose two.)a) NISTb) Cyber Threat Alliancec) FortiGuard Labsd) Malware-as-a-Service You have been given the following information for Moore's HoneyBee Corp.: a. Net sales = $39,000,000. b. Gross profit = $18,900,000. c. Other operating expenses = $2,900,000. d. Addition to retained earnings = $7,133,000. e. Dividends paid to preferred and common stockholders = = $2,900,000. f. Depreciation expense = $2,900,000. The firm's tax rate is 21 percent. The firm's interest expense is all tax deductible. Calculate the cost of goods sold and the interest expense for Moore's HoneyBee Corp. (Round your answers to the nearest dollar amount.) Cost of goods sold Interest expense 1. Total overtime earnings for an employee who earns $68,000/year, is paid an overtime rate is 1.5 times their regular hourly rate, and worked 45 hours during a recent week are $_____.2. Arthur has taught marketing at a local community college for 13 years. Recently he was awarded a sabbatical for the spring term of the upcoming academic year. Which term best describes the sabbatical?Answer:A.Discretionary bonusB.Nondiscretionary bonusC.Incentive planD.Commission3. What term is used when an employee is paid for producing a measurable output?Answer:A.Independent contractorB.PieceworkC.CommissionD.Discretionary4. The FLSA _____ overtime to be paid to an employee who works night or weekend shifts (assuming the 40 hours per week threshold has NOT been met).Answer:A.always requiresB.sometimes requiresC.never requiresD.might require5. Match each alternative compensation to its definition.-Incentive plan-Bonus-Commission-Extra pay for increased productivity-Planned or unplanned additional amount-Paid a percentage of each sale A currency swap has a remaining life of 14 months. It involves exchanging interest at 8% on 10 million for interest at 7% on $16 million once a year. The term structure of interest rates in both the United Kingdom and the United States is currently flat, and if the swap were negotiated today the interest rates exchanged would be 4% in dollars and 6% in sterling. All interest rates are quoted with annual compounding. The current exchange rate (dollars per pound sterling) is 1.4500.(a) What is the value of the swap to the party paying sterling?(b)What is the value of the swap to the party paying dollars? Deoxyribonucleotides, which are DNA precursors, are derived from ribonucleotides. Ribonucleotide reductase catalyzes the conversion. Answer the following five questions about ribonucleotide reductase. ribonucleotide reductase reaction?Wich of the following are substrates of the ribonucleotide reductase reaction? O UDPO dTTPO dADPO GDP which of the following is removed when tea is brewed in hot water? group of answer choices cellulose tannins glucose caffeine sodium bicarbonate EMV(1)=EMV(2)=EMV(3)=Should 1 2 or 3 suppliers be used?Phillip Witt, president of Witt Input Devices, wishes to create a portfolio of local suppliers for his new line of keyboards. As the suppliers all reside in a location prone to hurricanes, tornadoes, Find all the values of k for which the matrix 0 1 0 0 1 -k 2 k + 3 0 is not diagonalizable over C. k= (Enter your answers as a comma separated list.)