9. Which statements contradict each other? I. triangle ABC is a right triangle. II. m angle A = 41° III. m angle B = 103° A. I and II B. I and III C. II and III D. None of the statements are contradictory. 1​

Answers

Answer 1

The contradicting statement is

B. I and III

How to know the contradictory statement

The contradictory statement is that of I and III since the sum of angles in a triangle is always 180 degrees.

Given that

I. triangle ABC is a right triangle. say angle C = 90 degrees and

angle B = 103 degrees,

So the sum of the angles in the triangle would be:

= angle B + m angle C

= 103 + 91

= 194

This is against the law of angles of a triangle

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Related Questions

At Atlas Auto Sales, 51 of the 204 cars for sale are minivans. What percent of the cars are
minivans?

Answers

Answer: 25%

Step-by-step explanation:

51/204=0.25

0.25 x 100 = 25

Answer:25%

Step-by-step explanation:

Find the volume of the cylinder. Use π = 3.14.

(If answered correctly with an explanation giving brainlyest)

A. 321.54 ft3

B. 10,048 ft3

C. 8,038.4 ft3

D. 100.48 ft3

Answers

The volume of the cylinder is 8,038.4 ft3

How to calculate the volume of the cylinder?

The height(H) is 10ft

The diameter is 32 ft

The formula for calculating the volume of a cylinder is

πr²h

Radius= 32/2

= 16

Volume= 3.14 × 16² × 10

= 3.14 × 256 × 10

= 8,038.4

Hence the volume of the cylinder is 8,038.4 ft3

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State the domain, the range, and the intervals over which the graphically defined function is increasing, decreasing, or constant.

Answers

The domain will be (-∞, ∞). The range will be (-1, 1]. The function will be increasing during the intervals (0, π/2) and (3π/2, 2π), and will be decreasing at the interval (π/2, 3π/2). It will be constant only at x=0 and not at any interval.

We are given a graph in the question and we have to determine its domain, range, and the intervals over which the defined function is increasing, decreasing, and constant. If we observe this graph, we can see that this is a sin(x) graph.

The domain of this graph will be from -[tex]\infty[/tex] to [tex]\infty[/tex] as we can see in the graph that it is a repeating pattern. The range for this graph will lie between -1 and 1 as it is a sin x graph. The sin x graph increases at the intervals  (0, π/2) and (3π/2, 2π) and decreases at the interval  (π/2, 3π/2). As we can see from the graph, it is constant only at a point where x = 0 and there is no interval at which this graph is constant.

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Write an equation of a circle with the given center and radius. center (3,4) and radius 6

(x-3)^2+(y-4)^2=36
(x-3)^2+(y-4)^2=6
(x+3)^2+(y-4)^2=36
(x+3)^2+(y-4)^2=6

Answers

Answer:

[tex] {(x - 3)}^{2} + {(y - 4)}^{2} = 36[/tex]

What is the answer to (x^2)+(2x)-(5)=0

Answers

The solution to the given quadratic equation is [tex]=-1\pm \sqrt{6}[/tex]

What is a quadratic equation?

A quadratic equation is an equation whose highest power is raised to the power of 2. Mathematically it is written in the form ax² + bx + c. There are many ways in which we can solve a quadratic equation such as:

FactoringQuadratic formulaCompleting the square method

From the given information, we have:

x² + 2x - 5 = 0

Using the quadratic formula method;

[tex]=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

here;

a = 1b = 2c = -5

[tex]=\dfrac{-2\pm \sqrt{2^2-4(1)(-5)}}{2(1)}[/tex]

[tex]=\dfrac{-2\pm \sqrt{4+20}}{2}[/tex]

[tex]=\dfrac{-2\pm \sqrt{24}}{2}[/tex]

[tex]=\dfrac{-2\pm 2\sqrt{6}}{2}[/tex]

[tex]=-1\pm \sqrt{6}[/tex]

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-1/2x<18 pls help figure

Answers

Answer:

-36

Step-by-step explanation:

-1/2x<18

multiply each term by LCM=2

-1/2x×2<18×2

the 2on the left hand side will cancel each other leaving

-x <36

divide both sides by -1

-x/-1>36/-1

(note the equality sign changes because following the laws when you divide by a negative number the sign will change

X>-36

Answer:

Step-by-step explanation:

x>-36 is the anwser brainlist whould be aprecited and verifed

Let
sin A = − 24/25
with A in QIII and find the following.
sin 2A

Answers

Answer:

sin(2A) = 2sin(A)cos(A)

To find cos(A), we can use the Pythagorean theorem:

sin^2(A) + cos^2(A) = 1

cos^2(A) = 1 - sin^2(A)

cos(A) = -√(1 - sin^2(A)) (since A is in QIII, cos(A) is negative)

cos(A) = -√(1 - (-24/25)^2) = -7/25

Now we can substitute into the double angle formula:

sin(2A) = 2sin(A)cos(A)

sin(2A) = 2(-24/25)(-7/25)

sin(2A) = 336/625

Therefore, sin(2A) = 336/625.

Suppose a person were to breath an average of 13 times per minute. How many days would it take for them to breathe one billion times? Round your answer to the nearest single days.

Answers

Answer:

12 / min

720 / hr

17,280 / day

6,307,200 / yr

 

Now divide 1,000,000,000 by 6,307,200 (darn close to your 158!)

How many triangles exist with the given side lengths?

3in , 4in , 2in

Answers

Step-by-step explanation:

Only ONE .....there are three sides to a triangle and you supplied 3 sides.

Answer:
Many triangles

Explanation: When you add the smallest sides together, for example 2+3 you get 5, therefore 5 is bigger than 4; this would leave you with many triangles

A spinner divided into three equal sections marked A A and Z is spun 570 times approximately how many times will it be expected to land on an A

Answers

If a spinner divided into three equal sections marked A A and Z is spun 570 times .  The number of  times it will be expected to land on an A is 380 times.

How to find the Expected number of time ?

Since the spinner has three equal sections in which two of them are marked A.  The probability of landing on an A in a single spin will be 2/3  while the probability of landing on Z  will be 1/3.

So,

Expected number of time E(A) =Number of spins x Probability of landing on A

Expected number of time E(A) = 570 x (2/3)

Expected number of time E(A)  = 380

Therefore the Expected number of time E(A) is 380 times.

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Express all real numbers greater than 2 in interval notation

Answers

The interval-notation for "all real-numbers" greater than 2 is (2, ∞).

The "Interval-Notation" is a way of expressing a set of real numbers using brackets to show which numbers are included in the set. In the case of all real numbers greater than 2, we can write this as:

(2, ∞)

The open-bracket "(" indicate that the number 2 is not included in the set, while the symbol "∞" represents all real numbers greater than 2.

This notation is used to express an open interval, meaning that the endpoints (in this case, 2 and infinity) are not included in the set.

Therefore, the required interval-notation is (2, ∞).

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A business manufactures and sell laptops.Each laptop is sold for R14000.the fixed monthly cost is R32000 and it cost R9000 to manufacture each laptop.let L be number of laptops manufactured and sold per monthly

Answers

The total cost equation can be written as:

Total Cost = 32000 + 9000L

What is total cost?

Total cost refers to the complete amount of money or resources that are required to produce or obtain a particular good or service. It includes all of the expenses associated with production, such as labor costs, materials costs, overhead costs, and any other costs necessary to manufacture or acquire the product.

The total cost equation can be expressed as:

Total Cost = Fixed Cost + Variable Cost

where Fixed Cost is the cost that does not vary with the number of laptops manufactured and sold, and Variable Cost is the cost that depends on the number of laptops manufactured and sold.

In this case, the fixed monthly cost is $32,000 and it does not depend on the number of laptops manufactured and sold. The variable cost is the cost of manufacturing each laptop, which is $9,000 per laptop.

If L is the number of laptops manufactured and sold per month, then the variable cost can be expressed as 9000L. Therefore, the total cost equation can be written as:

Total Cost = 32000 + 9000L

This equation represents the total cost of manufacturing and selling L laptops per month. The fixed cost of $32,000 is added to the variable cost of $9,000 per laptop multiplied by the number of laptops sold, L, to obtain the total cost.

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Complete question: A business manufactures and sell laptops. Each laptop is sold for 14000.the fixed monthly cost is 32000 and it cost 9000 to manufacture each laptop. let L be number of laptops manufactured and sold per monthly. What is the total cost equation?

An oil candle globe made of​ hand-blown glass has a diameter of 25.8 cm. What is the volume of the​ globe? Use 3.14 for .

Answers

globe meaning a sphere, and since it has a diameter of 25.8, that means its radius is half that, or 12.9

[tex]\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=12.9 \end{cases}\implies V=\cfrac{4\pi (12.9)^3}{3}\implies \stackrel{ using~\pi =3.14 }{V\approx 8987.47}[/tex]

n/4.4 =7 Pls Help nowwwwwwwwwwwwwwwwwwwww

Answers

Answer:

n=7

Step-by-step explanation:

[tex] \frac{n}{4} \times 4 = 7 \\ \frac{4n}{4} = 7 \\ 4 \times \frac{4n}{4} = 7 \times 4 \\ 4n = 28 \\ \frac{4n}{4} = \frac{28}{4} \\ n = 7 [/tex]

Help with math problems

Answers

Answer:

Step-by-step explanation:

15.) [tex]\sqrt{12}[/tex]

      [tex]\sqrt{4}[/tex] * [tex]\sqrt{3}[/tex]

      Answer: 2[tex]\sqrt{3}[/tex]

17.) Distribute 3[tex]\sqrt{3}[/tex] into both sides of the parentheses

     3[tex]\sqrt{3}[/tex] * 4 = 12[tex]\sqrt{3}[/tex]

     3[tex]\sqrt{3}[/tex] * -3[tex]\sqrt{5}[/tex] = -9[tex]\sqrt{15}[/tex]

     Answer: 12[tex]\sqrt{3}[/tex] - 9[tex]\sqrt{15}[/tex]

19.) Distribute 4[tex]\sqrt{15}[/tex] into both sides of the parentheses

      4[tex]\sqrt{90}[/tex] + 4[tex]\sqrt{75}[/tex]

      4*[tex]\sqrt{9}[/tex]*[tex]\sqrt{10}[/tex] + 4*[tex]\sqrt{25}[/tex]*[tex]\sqrt{3}[/tex]

      4*3*[tex]\sqrt{10}[/tex] + 4*5*[tex]\sqrt{3}[/tex]

      12[tex]\sqrt{10}[/tex] + 20[tex]\sqrt{3}[/tex]

21.) Distribute [tex]\sqrt{15}[/tex] into both sides of the parentheses

      2[tex]\sqrt{150}[/tex] - 4[tex]\sqrt{90}[/tex]

      2*[tex]\sqrt{25}[/tex]*[tex]\sqrt{6}[/tex] - 4*[tex]\sqrt{9}[/tex]*[tex]\sqrt{10}[/tex]

      2*5*[tex]\sqrt{6}[/tex] - 4*3*[tex]\sqrt{10}[/tex]

      10[tex]\sqrt{6}[/tex] - 12[tex]\sqrt{10}[/tex]

To answer the question, "How do students in the United States pay for their higher education?", a questionnaire was sent out to collect 100 responses from one higher education institution per state.

Answers

The given scenario is Biased, since those who chose to respond may be systematically different than those who chose not to respond. So, the correct answer is C).

The sampling method is biased, since those who chose to respond may be systematically different than those who chose not to respond. This is known as non-response bias, where the opinions and characteristics of those who choose not to respond to the survey may differ from those who choose to respond.

Additionally, only one higher education institution per state was selected, which may not be representative of all institutions within the state. Therefore, the sample may not accurately reflect the population of students in the United States who pay for their higher education. So, the correct option is C).

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--The given question is incomplete, the complete question is given

" To answer the question, "How do students in the United States pay for their higher education?", a questionnaire was sent out to collect 100 responses from one higher education institution per state.

Is the sampling method biased or unbiased and why?

Unbiased, since a random sample was selected

Unbiased, since a large sample was selected

Biased, since those who chose to respond may be systematically different than those who chose not to respond

Biased, since all higher education institutions are represented

Unbiased, since a questionnaire was used

Biased, since every state will be represented in the sample"--

NASA launches a rocket at
t=0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t)=−4.9t^2+43t+339

.


(A) Assuming that the rocket will splash down into the ocean, at what time does splashdown occur? (Round answer to 2 decimal places)






The rocket splashes down after

seconds._______






(B) How high above sea-level does the rocket get at its peak? (Round answer to 2 decimal places)






The rocket peaks at _____

meters above sea-level._____

Answers

Answer:

(A)

[tex] - 4.9 {t}^{2} + 43t + 339 = 0[/tex]

[tex]49 {t}^{2} - 430t - 3390 = 0[/tex]

[tex]t = \frac{ - ( - 430) + \sqrt{ {( - 430)}^{2} - 4(49)( - 3390)} }{2(49)} = \frac{430 + \sqrt{849340} }{98} = 13.79[/tex]

The rocket splashes down after 13.79 seconds.

(B) h'(t) = -9.8t + 43 = 0

t = 43/9.8 = 215/49 = 4.39 seconds

h(4.39) = 433.34 meters

At t = 4.39 seconds, the rocket peaks at

433.34 meters above sea level.

lmop are the angles LN is the diagonal the sides are missing

Answers

All four angles of the rhombus are 20, 160, 20, and 160 degrees.

What is meant by diagonal of an angle ?

Diagonals are the parts of a shape, in geometry, a diagonal is a line that join two vertices of a polygon or a solid shape , whose vertices are not on the same edge. In general, a diagonal is called  as a sloping line or the slant line, that connects to the vertices of a shape.

According to question a rhombus , all four sides are congruent and opposite angles are equal. Let's call the rhombus ABCD, where AB, BC, CD, and DA are the four sides, and AC and BD are the diagonals.

If one of the angles formed by diagonals and adjacent sides is 20 degrees, let's say that angle is ABD. We can draw a line from point A to point C, which will divide the rhombus into two congruent triangles, ABC and ACD.

Since triangle ABC is isosceles, with sides AB = BC, angles ABC and BCA are equal. Similarly, in triangle ACD, angles ACD and CDA are equal.

∴ angles ABD and CDA are adjacent angles formed by intersecting lines, they must add up to 180 degrees. Therefore, angle CDA is 160 degrees.

If triangles ABC and ACD are congruent, angle CAD is also 20 degrees.

Now we can use the fact that opposite angles in a rhombus are equal. Angles BCD and ABD are opposite angles, so angle BCD is also 20 degrees. Similarly, angles BAC and ADC are opposite angles, so angle BAC is also 160 degrees.

Therefore, all four angles of the rhombus are 20, 160, 20, and 160 degrees.

Complete question  If one of the angles formed by diagonals and adjacent sides. of Is 20, all four angles of the a rhombus are.

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Ava uses a total of 72 bead. without dividing, how can you know if she made an even number of bracelets?

Answers

To check if the total number of beads used in each bracelet is even, we need to find out if the sum of the digits in the number 72 is even or odd.

How to know number of bracelets made

If Ava made an even number of bracelets using the 72 beads, then the total number of beads used in each bracelet must be an even number.

One way to check if the total number of beads used in each bracelet is even is to find out if the sum of the digits in the number 72 is even or odd. If the sum of the digits is even, then it is possible that Ava made an even number of bracelets. If the sum of the digits is odd, then it is not possible that Ava made an even number of bracelets.

The sum of the digits in 72 is 7 + 2 = 9, which is an odd number. Therefore, it is not possible for Ava to have made an even number of bracelets using the 72 beads, without dividing the beads.

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What is the equation of a parabola with a vertical axis, vertex (h, k), and directrix y = k – p, where p is a nonzero real number? How can the equation be simplified if the vertex is at the origin?

Answers

Note that equation of a parabola with a vertical axis, vertex (h, k), and directrix y = k – p, where p is a nonzero real number is (y-k)² = 4p(x-h).

How can the equation be simplified if the vertex is at the origin?

The equation of a parabola with a vertical axis, vertex (h, k), and directrix y = k – p, where p is a nonzero real number, is:

(y - k)²   = 4p( x -  h)

If the vertex is at the origin (h = 0, k = 0 ), the equation an be simplified to....

y² = 4px

where p is still a nonzero real number.

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The sum of matrix A and B where B is the identity matrix with respect to addition will give the matrix.
Select one:
Matrix A
Matrix 0
Matrix B
Matrix AB​

Answers

The sum of any matrix with the identity matrix of the same size, with respect to addition, will give the matrix itself. Therefore, the sum of matrix A and B, where B is the identity matrix, will give the matrix A.

So the answer is: Matrix A.

Solve for x.
A
Set up the proportion.
XI7

Answers

The solution for the variable x is x = 8.4

How to determine the solution for the variable x

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

The right triangle

Using the proportion of similar triagles, we have

x/7 = 10/x

This gives

x * x = 7 * 10

So, we have

x² = 70

Next, we have

x = √70

Evaluate

x = 8.4

Hence, the solution for the variable x is x = 8.4

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Suppose a polynomial function of degree 4 with rational coefficients has the given numbers as zeros. Find the other zeros.
1+2i, 1+√5
The other zeros are
(Use a comma to separate answers.)

Answers

Answer:

The other zeros are:

1 - 2i, 1 - √5

what is twenty-five divided bye four?

Answers

Answer: The answer is 6.25

Step-by-step explanation:

Answer:

6.25

Step-by-step explanation:

Electronics store reduced price of tv From $900 to $837

Answers

The percentage decrease of the TV from $900 to $837 is 7%

Percentage decrease

Original price of TV = $900New price of TV = $837

Percentage decrease = Difference in price / original price × 100

[tex]=\dfrac{(900-837)}{900} \times 100[/tex]

[tex]=\dfrac{63}{900} \times 100[/tex]

[tex]= 0.07 \times 100[/tex]

[tex]= 7\%[/tex]

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Complete question-

An electronics store reduced the price of a TV from $900 to $837. What was the percent of decrease?

Y= 1/2x+5
X _ Y
-4. ?
-2. ?
0. ?
2. ?

Answers

Answer: 0.

Step-by-step explanation:

        y-(1/2*x+5)=0 STEP 1:              

simplify 1/2

                 

Equation at the end of step 1:         1        

 y -  ((— • x) +  5)  = 0

Please help with these two equations and show work as well, thank you!

Answers

13.) The simplified polynomials that can represent the area and perimeter of the large rectangle =40x + 5x² and

12X + 16 respectively.

14.)The simplified polynomials that can represent the area and perimeter of the large rectangle =21+10x + x² and 20+4x respectively.

How to determine the simplified polynomials that can be used to represent the given shape?

To determine the simplified polynomials, the formula for the area and perimeter of the rectangule should be used. That is:

Area of rectangle = length×width

where;

length = 5x

width = 8+X

Area = 5x * 8+X

= 40x + 5x²

Perimeter of rectangle = 2(length+width)

= 2(5x + 8+X)

= 10x + 16 + 2x

= 12X + 16

For question 14.)

Area of rectangle = length× width

where;

length = 7+X

width = 3+X

Area = 7+X × 3+X

= 21+7x+3x +x²

= 21+10x + x²

Perimeter = 2(length+width)

= 2(7+X+3 + X)

= 2(10+2x)

= 20+4x

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Jade is constructing wooden figures for a park.
She is making six of them and fitting them
together to form part of a stage. What is the total
volume of all of the parts? Show your work.
10 ft
3 ft
4 ft

Answers

It is to be noted that the volume of all the wooden figures will come to.

Why is this so?

Each wooden figure as shown in the image is

L = 4ft

W = 4ft
H = 10ft

Where L = Length, w= Width and H = height.

The volume of a cuboid is  L x W x H

So we have

4 x 4 x 10

Since there are six of the figures, we restate the expression as:

6 x 4 x 4 x 10

= 960 Ft³

Thus, volume of all of the parts is 960 Ft³

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Full Question:

Although part of your question is missing, you might be referring to this full question:

See attached image.

Explain how you know what a fraction was multiplied by when the product is greater than a factor.​

Answers

When the product of a fraction and a factor is greater than the factor, it means that the fraction is greater than 1.

Why is this true of fractions ?

Due to the principles of multiplication, when multiplying a value greater than 1 with a given amount, the product will be larger than the original number. To provide an example, if we multiply 5 by 2, the result will be 10, which is greater than 5.

By extension, if we multiply a fraction with a factor that's greater than 1, the resulting product will be greater in size as compared to the initial quantity. For instance, when we calculate 1/2 multiplied by 3, the outcome is 3/2, which surpasses the worth of 1/2. Hence, it can be deduced that any result which exceeds its own source was obtained through multiplication by value greater than 1.

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SOMEONE, PLEASE HELP! ASAP, WILL GIVE 30 POINTS!

Answers

Using the equations given, only equation 2 has a proportional relationship.

What is a proportional and non-proportional relationship?

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other.

The difference between proportional and non-proportional linear relationships is that, although both have constant rates of change the proportional relationship has constant output to input ratios, and the non-proportional relationship does not.

In this problem, to determine the proportional relationship, we can also check for both values of x and y.

1. y = -0.75x + 5

When x = 1

y = -0.75(1) + 5

y = 4.25

when x = 2

y = -0.75(2) + 5

y = 3.5

The relationship is not proportional since as one variable increase, the other decreases.

2. y = 4x - 1

When x = 1

y = 4(1) - 1

y = 4 - 1

y = 3

when x = 2

y = 4(2) - 1

y = 8 - 1

y = 7

This relationship is proportional since the variables increases or decreases with one another.

3. y = (3/4)x

When x = 1

y = (3/4)(1)

y = 3/4

when x = 2

y = (3/4)(2)

y = 2/3

This relationship is not proportional

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Other Questions
Please answer now! Please show the Example For each of the following functions find f(- x) and - f * (x) , then determine whether it is even, odd or neither. Justify your answer. F(x)= x^3-7/x Briefly describe the three sources of food energy in the oceans compared to other retail formats, the greatest benefit that store shopping offers is: the ability to touch and feel the products. personal safety easy availability of information for product comparison. broader and deeper assortments. availability of detailed information for evaluating a product. Popular literature offers nothing save for cheap entertainment.validate this statement with close reference to ben mtobwa's dar es salaam by night Consider the following reaction:4 NH3 + 3 O2 2 N2 + 6 H2OIf the rate of formation of N2 is 2.00 mol L-1 s-1, the rate at which NH3 reacts is: Find the necessary sample size. A population is normal with a variance of 99. Suppose you wish to estimate the population mean . Find the sample size needed to assure with 68. 26 percent confidence that the sample mean will not differ from the population mean by more than 4 units. A. 9B. 7C. 613D. 25 "If he brought a girl home they would probably applaud him. I don't know what they would doif the person he brought home was not a girl. " (pg. 155)What poetic device is being used in this part? In a bpmn process diagram, dotted arrows depict the flow of ________ in the process. Payback and ARR Each of the following scenarios is independent. All cash flows are after-tax cash flows. Required: 1. Brad Blaylock has purchased a tractor for $96,250. He expects to receive a net cash flow of $32,500 per year from the investment. What is the payback period for Jim? Round your answer to two decimal places. __ years 2. Bertha Lafferty invested $357,500 in a laundromat. The facility has a 10-year life expectancy with no expected salvage value The laundromat will produce a net cash flow of $117,000 per year. What is the accounting rate of return? Enter your answer as whole percentage value (for example, 16% should be entered as "16" in the answer box). ___ % 3. Melannie Bayless has purchased a business building for $337,000. She expects to receive the following cash flows over a 10- year period: Year 1: $42,500 Year 2: $57,500 Year 3-10: $86,400 What is the payback period for Melannie? Round your answer to one decimal place. __ years/ What is the accounting rate of return? Enter your answer as a whole percentage value (for example, 16% should be entered as "16" in the answer box). __ % Alzheimer's disease: piecing together the evidence assignment answers???? PLEASE HELP!1. 3 statements about limiting frictional force between two surfaces are given below. A - Nature of surfaces in contact affects to limiting frictional force. B - Normal reaction between them affects to limiting frictional force. C - Area of surfaces in contact affects to limiting frictional force. Correct statement / statements from above A, B, C is/ are, (1) A (2) B (3) A and C (4) A, B and C Answer these questions fast Hunter is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if he rolls a fair die in the shape of a pyramid that has four sides labeled 1 to 4, spins a spinner with four equal-sized sections labeled Red, Green, Blue, Orange, and flips a coin? The population of Greensville is increasing at a rate of 5.6% per year. If the population today is 8,000, what will it be 10 years from now? In AABC, AB=32, AC= 22, and BC= 20. What is mZA?m(Do not round until the final answer. Then round to the nearest tenth as needed.) 5. 07 Graded Assignment: Write About Culture or Setting? As a candle burns, its wick gets smaller over time. When first purchased, the wick is 150 mm in length. After 50 minutes, the wick is only 110 mm in length. Find the slope you would use in a linear model of mm per minute. 3 points Construct an equation that models the length of the wick over this time period. Your answer should be in the proper form using correct letters and numbers with no spaces. 2 points Use your linear model to predict the how many minutes it would take to have 74 mm remaining. 3 points In the late eighteenth century Priestley prepared ammonia by reacting HNO3(g) with hydrogen gas. The thermodynamic equation for the reaction isHNO3(g) + 4H2(g) NH3(g) + 3H2O(g) H = 637 kJCalculate the amount of energy released when one mole of hydrogen gas reacts. Consider this to be a positive value Sodium can be determined by flame emission spectrometry with a lithium internal standard. the emission intensities of standard solutions of nacl and an unknown containing a constant amount of licl were measured. all the intensities were corrected for background by subtracting the intensity of a blank. ck, ppm intensity of k emission intensity of li emission1 10 102 15.3 7.55 34.7 6.87.5 65.2 8.510 95.8 1020 110.2 5.8unknown 47.3 9.1required:a. plot the k emission intensity vs. the concentration of k, and determine the linearity from the regression statistics.b. plot the ratio of the k intensity to the li intensity vs. the concentration of k, and compare the resulting linearity to that in part (a). why does the internal standard improve linearity?c. calculate the concentration of k in the unknown.