Determine the length of x in the triangle. Give your answer to two decimal places. Most importantly show the steps, please.

Determine The Length Of X In The Triangle. Give Your Answer To Two Decimal Places. Most Importantly Show

Answers

Answer 1

Answer:35.09


Step-by-step explanation:From the question given above, the following data were:Opposite = 12Hypothenus = X Angle θ = 20 °


Related Questions

The figure consists of a right triangle and an eighth of a circle. Find the area of the shaded region. 22/7 for pie.

Answers

The area of the shaded region of the composite shape is: 21.03  cm²

How to find the area of the shaded region?

The formula for the area of a triangle is:

Area = ¹/₂ * base * height

Thus:

Area of given triangle = ¹/₂ * 14 * 14 = 98 cm²

Area of sector is given by the formula:

θ/360 * πr²

Area of sector = 45/360 * π * 14 * 14

= 76.97 cm²

Thus:

Area of shaded portion = 98 cm² - 76.97 cm² = 21.03  cm²

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Identify the discriminant value of the quadratic equation m² + 18m + 17 = 0.

Answers

Answer:

Step-by-step explanation:

The discriminant value (denoted by Δ) of a quadratic equation in the form of ax² + bx + c = 0 is given by the expression b² - 4ac.

For the quadratic equation m² + 18m + 17 = 0, a = 1, b = 18, and c = 17. Substituting these values into the expression for the discriminant, we get:

Δ = b² - 4ac

Δ = (18)² - 4(1)(17)

Δ = 324 - 68

Δ = 256

Therefore, the discriminant value of the quadratic equation m² + 18m + 17 = 0 is 256.

Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 4 people took the trip. She was able to purchase coach tickets for $140 and first class tickets for $1000. She used her total budget for airfare for the trip, which was $2280. How many first class tickets did she buy? How many coach tickets did she buy?

number of first class tickets bought = ___

Answers

The number of coach tickets purchased is 3, and the number of first-class tickets purchased is 8.

Let us assume the number of coach tickets purchased is x.

And the number of first-class tickets purchased is y.

Now,

Including Sarah, a total of 11 people took the trip.

Thus,

[tex]x + y = 11 [/tex]

The cost of coach tickets and first-class tickets are $210 and $1200 respectively.

The total budget for airfare for the trip is $10,230.

Therefore,

210x + 1200y = 102309

21x + 120y = 1023

Solving both the equations, we get.

x=3

y=8

Thus, The number of coach tickets purchased is 3, and the number of first-class tickets purchased is 8.

G
Which inequality has a dashed boundary line when graphed?
3
oy²x+1
O y²-3x+1
2
Oy> 3x+1
O y≤7x-1

Answers

The inequality that has a dashed boundary line when graphed is:

y > 3x + 1

What is inequality?

In mathematics, an inequality is a statement that two quantities are not equal or do not have the same value. In other words, it is a statement that compares two values, expressing that one value is greater than, less than, or not equal to the other value. An inequality is denoted by symbols such as < (less than), > (greater than), ≤ (less than or equal to), and ≥ (greater than or equal to).

What is Dashed boundary?

In mathematics, a dashed boundary refers to a boundary line that is graphed as a dashed line rather than a solid line. The use of a dashed line is typically used to indicate that the boundary itself is not included in the set of solutions of an inequality or equation.

In the given question,

The inequality that has a dashed boundary line when graphed is:

y > 3x + 1

The reason for this is that when graphed, the boundary line of the inequality y > 3x + 1 is a straight line, but it is dashed instead of solid. This is because the inequality is strict, meaning that the boundary line itself is not included in the set of solutions. On the other hand, if the inequality had been y ≥ 3x + 1, the boundary line would have been a solid line because the inequality is non-strict and includes the boundary line itself as a solution.

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Consider the following function.

p(x)=2−29x
Step 1 of 2 : Find the slope and the y-intercept. Express the intercept as an ordered pair. Simplify your answer.

Answers

The slope of the function is -29 and the y-intercept is the point (0, 2).

What is function ?

In mathematics, a function is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output. It is a rule that assigns to each element of a set (called the domain) exactly one element of another set (called the range).

To find the slope and y-intercept of the function p(x) = 2 - 29x, we can write it in the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

So, by comparing p(x) = 2 - 29x with y = mx + b, we can see that:

m = -29 (the coefficient of x)

b = 2 (the constant term)

Therefore, the slope of the function is -29 and the y-intercept is the point (0, 2).

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It is observed that 3 out of every 5 drills made at an oil-drilling site strike oil. The results from 50-simulation trials of the model showed 1 out of 5 drills
are guaranteed to strike oil. What is the hypothesis, and based on the results from the simulation trials, what should be concluded about the
hypothesis?
A. The hypothesis is that at least 1 out of 5 drills will strike oil. Based on the results from the simulation trials, the hypothesis should be rejected.
B. The hypothesis is that at least 1 out of 5 drills will strike oil. Based on the results from the simulation trials, it can be concluded that the hypothesis is
correct.
C. The hypothesis is that at least 3 out of 5 drills will strike oil. Based on the results from the simulation trials, the hypothesis should be rejected.
D. The hypothesis is that at least 3 out of 5 drills will strike oil. Based on the results from the simulation trials, it can be concluded that the hypothesis is
correct.

Answers

The answer is A.

The hypothesis is that at least 1 out of 5 drills will strike oil. Based on the results from the simulation trials, the hypothesis should be rejected.

Two step equations that equal 23

Answers

1. (2x10)+3= 23

2. (6x4)-1=23

Please answer this for me quick i have another one

Answers

The value of the fraction x/y is 3/25 and option b is the correct answer.

What are fractions?

An expression for a portion of a whole is a fraction. In general, the whole can be any particular object or value, and the fraction might be a piece of any quantity out of it.

The top and bottom numbers of a fraction are explained by the fundamentals of fractions. The bottom number reflects the entire number of components, while the top number represents the number of chosen or coloured portions of the whole.

The given equation is:

5x + y / y = 8/5

Divide the terms individually at the left side of the equation:

5x/y + y/y = 8/5

5 (x/y) + 1 = 8/5

5 (x/y) = 8/5 - 1

5 (x/y) = 3/5

x/y = 3/25

Hence, the value of the fraction x/y is 3/25 and option b is the correct answer.

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For every pound of warming gas produced by agriculture, how many pounds of gas are produced by transportation?

1.0
1.3
2.0
2.7
3.0

Answers

The answer to this question depends on the specific gases being compared, as different gases have different warming potentials. However, in general, transportation is a major contributor to greenhouse gas emissions and produces more greenhouse gases than agriculture. According to the US Environmental Protection Agency (EPA), transportation accounted for 28% of greenhouse gas emissions in the United States in 2018, while agriculture accounted for 9%. Therefore, we can estimate that for every pound of warming gas produced by agriculture, transportation produces more than one pound of warming gas.

Out of the given options, the closest answer would be 1.3 pounds of gas produced by transportation for every pound of warming gas produced by agriculture. However, it is important to note that this is only an estimate and the actual ratio may vary depending on the specific gases being compared and other factors.

6 of 8
? Work out the area of the shaded shape.
5m
3m
T
6m
2m
2m

Answers

You need to add an image

Suppose a recent government report indicates that 6% of the labor force is Asian. Of the individuals in the labor force who are Asian, 5% are unemployed. Among the individuals in the labor force who are not Asian, 6% are unemployed. Let be the event that a randomly selected member of the labor force is Asian and let be the event that a randomly selected member of the labor force is unemployed. Determine (∣) , the probability that a randomly selected member of the labor force is Asian given that he or she is unemployed. Express your answer as a percentage with no decimal places.

Answers

Answer:

The probability that a randomly selected member of the labor force is Asian given that he or she is unemployed is 4.98%

Step-by-step explanation:

We want to find the probability that a randomly selected member of the labor force is Asian given that he or she is unemployed, which can be written as P(A|U). Using Bayes' theorem, we have:

P(A|U) = P(U|A) * P(A) / P(U)

We are given P(A) = 0.06 (6% of the labor force is Asian), P(U|A) = 0.05 (among Asians in the labor force, 5% are unemployed), and P(U|not A) = 0.06 (among non-Asians in the labor force, 6% are unemployed).

To find P(U), we can use the law of total probability:

P(U) = P(U|A) * P(A) + P(U|not A) * P(not A)

We know P(A) = 0.06, so P(not A) = 1 - P(A) = 0.94.

Therefore,

P(U) = 0.05 * 0.06 + 0.06 * 0.94 = 0.0602

Now we can substitute all the values into Bayes' theorem:

P(A|U) = 0.05 * 0.06 / 0.0602 = 0.0498

So the probability that a randomly selected member of the labor force is Asian given that he or she is unemployed is 4.98% (rounded to the nearest percentage with no decimal places).

A hardware store sells nylon rope for $0.89/yd. A lumber yard sells the same rope for $0.94/m.
a) Which store sells the rope for a lower price? Explain your answer.
b) How much money would Jim save if he purchased 650 ft. of the less expensive rope, before taxes?
pls complete a and b!! ​

Answers

Therefore , the solution of the given problem of unitary method comes out to be 14.7 dollars  before taxation, assuming he bought 650 feet of the cheaper rope.

What is an unitary method?

The job can be completed by bringing together what was learned and applying this variable technique, that also includes all supplementary data from two people that utilized a specific tactic. To put it another way, if the desired outcome materialises, either the entity stated in the calculation will be recognised, or both expression essential processes will truly skip the colour. For forty pencils, a refundable charge of Rupees ($1.01) might be required.

Here,

To evaluate the prices, we need to use the same units.

Since 0.9144 metres make up one yard, we can convert the cost of the rope at the hardware shop to dollars per metre as follows:

=> 0.89 dollars/yard * 1 yard/0.9144 meters = 0.97 dollars/meter

b) We must change the units to yards or metres in order to evaluate the costs of 650 feet of rope. 650 feet is equivalent to 3 yards, which is:

=> 650 feet x 3 feet per yard = 216.67 yards

The hardware store's price for the cord is:

=>  192.5 dollars ($0.89/yard x 216.67 yards)

At the timber yard, the price of the rope is:

=>  (216.67 yards * 0.9144 meters/yard) * 0.94 dollars/meter = 177.8 dollars.

Jim would therefore save:

=>  192.5 dollars - 177.8 dollars = 14.7 dollars.

before taxation, assuming he bought 650 feet of the cheaper rope.

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Confidence intervals are constructed to estimate the population parameter (like the mean) a specified proportion of the time. The upper and lower interval estimates are often described as the

Answers

The upper and lower interval estimate are often describe as associated with a specific level of confidence.

What is Interval Estimate?

In statistics, interval estimate is the process of determining the interval, or range of values, within which a parameter—such as the mean (average) of a population—is most likely to fall.

The interval encompassing a population parameter is determined by computing the statistic from values obtained from a random sample chosen from the population and by using the understanding (derived from probability theory) of how accurately sample properties reflect those of the full population.

The possibility that the estimated confidence interval estimate will include the genuine population parameter is frequently referred to as the confidence level.

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Weber Jewelry advertised a diamond necklace for $572.95 and a gold pendant for $113.76. The state tax is 6.5 percent and the city tax is 0.5 percent. What is the total purchase price?

Answers

Therefore, the total purchase price is $734.78.

What are profits?

Profit is the financial gain obtained by subtracting the cost (or expenses) of producing and selling goods or services from the revenue generated from their sale. In other words, profit is the amount of money that is left over after all expenses have been paid, including the cost of goods sold, operating expenses, taxes, and any other costs associated with running a business.

Profit can be calculated using the following formula:

Profit = Revenue - Cost

by the question.

To calculate the total purchase price, we need to calculate the tax and add it to the sum of the prices of the diamond necklace and the gold pendant.

The tax on the diamond necklace is:

572.95 * 0.065 = 37.24

The tax on the gold pendant is:

113.76 * 0.065 = 7.40

The total tax is the sum of these two taxes:

37.24 + 7.40 = 44.64

We also need to add the city tax, which is 0.5 percent of the total price:

(572.95 + 113.76) * 0.005 = 3.43

The total purchase price is the sum of the prices of the diamond necklace and the gold pendant, the state tax, and the city tax:

572.95 + 113.76 + 44.64 + 3.43 = 734.78

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Line AB intersects line CD at point F. If m<AFC=(7x-8)° and m<BFD=(5x+6)°, what is m<BFD?
82°
48°
41°
7°​

Answers

76 is m<BFD in linear equation.

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                                 The above is occasionally referred to as a "linear equation with two variables," where y and x are the variables.

 m<AFC + m<BFD = 180°

   (7x-8)° +   m<AFC = 180°

   (5x+6)° +  m<BFD =  180°

     

(7x-8)° = (5x+6)

 2x = 12

    x = 14

m<BFD=(5x+6)°

       = 5 * 14 + 6

        = 70 + 6

          = 76

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What is the answer of this p³+10+m-m if m=8 and p=3 equal

Answers

Given:-

p=3m=8

Solution:-

p³+10+m-m

put the value of p nd m in eqⁿ :

( 3 )³ + 10 + 8 - 827 + 10 + 8 - 827 + 1037

━━━━━━━━━━━

hope it helps⸙

The value of expression at m = 8 and p = 3 is,

⇒ 37

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ p³ + 10 + m - m

Now,

Put m = 8 and p = 3 in above expression, we get;

⇒ p³ + 10 + m - m

⇒ 3³ + 10 + 8 - 8

⇒ 27 + 10

⇒ 37

Thus, The value of expression at m = 8 and p = 3 is,

⇒ 37

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Please help will get max points + brainliest!

Answers

Answer:

a)  Area of inner square = 58 cm²

b)  Area of inner square = (2x² - 2xy + y²) cm²

Step-by-step explanation:

To calculate the area of a square, multiply the length of one of its sides by itself. This can be expressed as A = s², where A is the area and s is the side length of the square.

To calculate the area of a triangle, halve the product of its base and height. This can be expressed as A = (1/2)bh, where A is the area, b is the base and h is the height of the triangle.

The easiest way to calculate the area of the inner square is to subtract the areas of the 4 congruent triangles from the area of the outer square.

[tex]\hrulefill[/tex]

Part a)

The outer square has a side length of 10 cm. Therefore its area is:

[tex]\implies \sf A_{outer\;square} = 10^2 = 100 \; cm^2[/tex]

Each corner triangle has a height of 3 cm and a length of (10 - 3) cm.

Therefore, the area of one triangle is:

[tex]\implies \sf A_{triangle}=\dfrac{1}{2} \cdot 7 \cdot 3=10.5\;cm^2[/tex]

Therefore, the area of the inner square is:

[tex]\begin{aligned} \implies \sf Area\;of\;inner\;square&=\sf 100-(4 \cdot 10.5)\\&=\sf 100-42\\&=\sf 58\; cm^2\end{aligned}[/tex]

[tex]\hrulefill[/tex]

Part b)

The outer square has a side length of y cm. Therefore its area is:

[tex]\implies \textsf{A$_{\sf outer\;square}$} = y^2 \; \sf cm^2[/tex]

Each corner triangle has a height of x cm and a length of (y - x) cm.

Therefore, the area of one triangle is:

[tex]\begin{aligned}\implies \sf A_{triangle}&=\dfrac{1}{2} \cdot (y-x) \cdot x\\\\&=\dfrac{1}{2}x(y-x)\;\sf cm^2\end{aligned}[/tex]

Therefore, the area of the inner square is:

[tex]\begin{aligned} \implies \sf Area\;of\;inner\;square&=y^2-4\left(\dfrac{1}{2}x(y-x)\right)\\\\&=y^2-2x(y-x)\\\\&=y^2-2xy+2x^2\\\\&=(2x^2-2xy+y^2)\; \sf cm^2\end{aligned}[/tex]

4.4 ×10 with the power of 3=

Answers

After answering the presented question, we can conclude that The answer for the following expression will be as follows  [tex]4.4 X 10^3 = 4400[/tex]

what is expression ?

In mathematics, you can double, divide, add, or subtract something. The following is an expression: Expression, numerical value, and math operator A mathematical expression is made up of numbers, parameters, and functions. Opposing sentences and expressions are possible. An expression, often known as an algebraic expression, is any mathematical statement that contains variables, numbers, and a mathematical action between them. For example, the phrase 4m + 5 is made up of the phrases 4m and 5, as well as the variable m from the above equation, which are all separated by the mathematical sign +.

The answer for the following expression will be as follows

[tex]4.4 X 10^3 = 4400[/tex]

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A ball that is thrown upward follows the path h(t)=-t^2+8t+32, where h(t) represents the height of the ball above the ground at time t, and t represents the time since the ball was thrown. How high above the ground did the ball reach? show work

Answers

Answer:

Step-by-step explanation:

To find the maximum height of the ball, we need to find the vertex of the parabolic function h(t) = -t^2 + 8t + 32. The vertex represents the highest point of the parabolic curve.

The x-coordinate of the vertex is given by the formula x = -b/2a, where a and b are the coefficients of the quadratic equation. In this case, a = -1 and b = 8, so we have:

x = -b/2a = -8/(2(-1)) = 4

Therefore, the vertex occurs at time t = 4.

To find the y-coordinate of the vertex, we evaluate the function at t = 4:

h(4) = -4^2 + 8(4) + 32 = 16 + 32 = 48

Therefore, the ball reaches a maximum height of 48 feet above the ground.

HELP ASAP WILL GIVE 100 POINTS AND BRAINLYEST IF YOU DON"T ANSWER WITH THE INTENT TO ANSWER CORRECTLY I WILL REPORT YOU

Answers

1. repeating decimal
2. non-terminating/non-repeating
3. terminating
4. whole number

Which is the following not true?

Answers

D is the correct answer

I WILL GIVE BRANLIST ONLYNOF YOUR RIGHT
Determine the scale factor used to create the image

A 1/2

B 2

C 1/4

D 4

Answers

Answer:

Step-by-step explanation:

b

Gwen owes a total of $4,522.50 on revolving credit accounts that have total limits of $7,950.00. Calculate the amount she needs to pay on her debt to reduce her revolving credit accounts to reach a 25% debt-to-credit ratio.

Answers

The amount that she needs to pay on her debt to reach a 25% debt-to-credit ratio is given as follows:

$2,535.

How to obtain the amount that she needs to pay?

The amount that she needs to pay on her debt reach a 25% debt-to-credit ratio is obtained applying the proportions in the context of the problem.

She has a credit limit of $7,950.00, hence 25% of her credit limit is obtained as follows:

0.25 x 7950 = $1987.5.

She current has $4,522.50 on debts, hence the amount that she needs to pay for the debts to be reduced to $1987.5 is given as follows:

4522.5 - 1987.5 = $2,535.

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What are the x- and y-intercepts of f(x) - 3x - 4?

Answers

The x- and y-intercepts as required to be determined in the task content are; (-4/3, 0) and (0, -4).

Which points represent the x- and y-intercepts of the function?

As evident in the task content; the given function is; f(x) = - 3x - 4.

The x-intercept represents the value of x when f(x) = 0.

0 = -3x - 4

3x = -4

x = -4 / 3.

The y-intercept represents the value of f(0); hence, we have that;

f (x) = -3(0) - 4

f(0) = -4.

Ultimately, the points which correctly represents the x- and y-intercepts are; (-4/3, 0) and (0, -4).

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Find m1 if m5 =142 and m4=65

Answers

The value of m∠1 is 103°. The solution has been obtained by using the angle sum property.

What is the angle sum property?

The angle sum property of a triangle states that the sum of the three internal angles of a triangle is 180 degrees.

We are given that m∠5 = 142° and m∠4 = 65°.

Since m∠5 and m∠2 lie on a straight line so, they form a linear pair.

So,

⇒ m∠5 + m∠2 = 180°

⇒ 142° + m∠2 = 180°

⇒ m∠2 = 38°

We know that sum of angles of a triangle is 180°.

So,

⇒ m∠3 + m∠4 + m∠2 = 180°

⇒ m∠3 + 65° + 38° = 180°

⇒ m∠3 + 103° = 180°

⇒ m∠3 = 77°

Now, since m∠3 and m∠1 lie on a straight line so, they form a linear pair.

So,

⇒ m∠3 + m∠1 = 180°

⇒ 77° + m∠1 = 180°

⇒ m∠1 = 103°

Hence, the value of m∠1 is 103°.

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The complete question and the figure has been attached below.

Question: Find m∠1 if m∠5 = 142° and m∠4 = 65°.

Help!!

Question
Callie is buying fence for two triangular sections of her garden.

How much fence would she need for ​triangle DFG​ ?



Enter your answer in the box.
ft

Answers

Callie will need a total of 112 feet of fence for the triangle DFG.

How to find the amount of fence needed.

We can find the amount of fence needed by finding the relationship between both triangles and find the missing side.

The sum of all the sides of the triangle will be known as the perimeter of the triangle. we can use this knowledge to find the amount of fence needed.

Both triangles are similar and are in the ratio of 1:7To find the missing side of triangle DFG, we multiply the corresponding side of triangle BAC by 7 to find the missing side.

This will give us 7 x 7 = 49ft

To find the amount of fence needed for triangle DFG we add all the sides of triangle DFG which will be 49 + 35 + 28.

The total will be 112ft.

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Find the value of x. Round your answer to the nearest tenth.​

Answers

Answer:

Step-by-step explanation:

9. sin 18 = x/21

 x = 21* sin 18

  x = 6.5

10. tan 55 = 29/x

  x* tan 55 = 29

x = 29/tan 55

x = 20.3

11. sin 23 = x/25

  x = 25 * sin 23

  x = 9.8

12. sin 47 = 33/x

  x * sin 47 = 33

 x = 33/sin 47

  x = 45.1

HELP!!
show you're work please...

Answers

The height of the trapezoid with an area of 21 square centimeters is equal to 3 cm.

How to evaluate for the height of the trapezoid

area of a trapezoid is calculated using the formula: 1/2 × (A + B) × height where A is and B are the parallel bases.

we shall represent the height of the trapezoid with the letter h so that:

21 cm² = 1/2 × (5 + 9) cm × h

21 cm² = 1/2 × 14 cm × h

21 cm² = 7 cm × h

divide through by 7 cm

h = 21 cm²/7 cm

h = 3 cm

Therefore, the height of the trapezoid with an area of 21 square centimeters is equal to 3 cm.

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Will mark brainliest answer!

What's the best place to eat at? (Restaruant, Fast Food, Buffet, Cafe, etc.)​

Answers

Answer:

Step-by-step explanation:

Me personally, I think buffets are the best because you can take as music food as you much, without being charged for much! But thats only for some buffets. If you go to a chinese buffet, they might lower the price allowing you to get as much food as you please!

Please Help ASAP - 100 pts + Brainliest if the answer is correct!

Answers

Answer:

a. aₙ=(aₙ₋₁ x 0.98) + 1150

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Is this Correct also i dont know what the last one is? Chem work please. Mrs. Juarez graded ten English papers and recorded the scores. 92, 95, 100, 62, 88, 90, 100, 96, 89, 98 Which statements are true? Check all that apply. The range of scores is 38. Without the outlier, the range of scores would be 12. The outlier impacts the range more than it impacts the interquartile range. The interquartile range is 9. The interquartile range is 4. Without the outlier, the interquartile range would be 9.5. Mark this and return Save and Exit Next 4655 Theorem: For any real number x, x+x55 In a proof by cases of the theoremA. x0 B. x5 C. x Name the type of angle indicated The ratio of 2 institutions is 7 : 3 and their sum is 630. Find the number HELP NEEDED QUICK!!Directions: Calculate the following simple interest problems. Write your answers in the space provided. Use the formula I = P R T and round your answers to the nearest cent or the nearest tenth of a percent. Use four decimal places for fractions of time.(a) I = ?, P = $500, R = 8%, T = 3 months (3/12)simple interest: $(b) I = ?, P = $50, R = 12%, T = 1 month (1/12)simple interest: cents(c) I = ?, P = $1,000, R = 18%, T = 24 months (24/12)simple interest: $(d) I = ?, P = $600, R = 15%, T = 60 days (60/360)simple interest: $ (use .1667) 3. Consider the following example, which follows the analytical framework of Goldin and Katz(2008). a) Suppose the economy uses just two inputs, capital (K) and labor (L) . If the cost of each unit of capital (what we called the rental rate, r) is $10 and the cost of each unit of labor (the wage rate,w) is $20, and the economy spends $100 total in costs of production, draw the isocost curve for the economy with capital on the y-axis. b) Based upon (a) above, depict an isoquant where, at the optimal production mix, the economy uses twice as much labor as it does capital. c) Now, on the same graph, illustrate technological change that is capital-biased. Another term for this is "labor saving" technical change. Based upon your depiction of the technological change, identify the new optimal input mix - has it indeed been "labor saving"? d) If the capital/labor ratio does not fully adjust as you depicted in part (c), what will be the implication for the w/r ratio? If, as is the case in the US, most capital is owned by the relatively well off and the relatively poor rely on income from their labor, what would be the implication for economic inequality? emma has been hired to promote a membership-only genealogical website, which provides demographic information on over one billion people. she has gathered all the relevant environmental information and has studied the project closely. meanwhile, she is also assigned another project. she decides to work on the new project and put the genealogical project completely out of her conscious mind, so that ideas can materialize in the meanwhile. emma is in the step of the creative process outlined by graham wallas. group of answer choices verification revision incubation preparation illumination COS Australia2.1 Politics, Rules and Regulations; (outline format withdiscussion of each point)Key words: Discussion.Key words: Discussion A circular fountain has a radius of 11 feet. Find the area in terms of pi A school supplier sells boxes of A4 paper for 4, and offers a 2 discount on any order paid for in advance. Write the formula the supplier would use for calculating what to charge for any order paid in advance. Use n to represent the number of boxes purchased. 12. The large triangular figure below is composed of triangles that each have a base and height of 4 cm.What is the area of the large figure?A. 64 cm2B. 72 cm 2C. 128 cm 2D. 144 cm2 Differentiate in respect to yS(siny + y cosy)dy WILL GIVE BRAINLIESTExplain the stages of complete and incomplete metamorphosis, provide examples for each. (Counts 20% of your lesson grade.) 4. Analyze the pedigree to the right. Notice the dots in the center of some individuals? that means they are carriers for the disease. With this information, is this disease likely autosomal dominant, autosomal recessive, x-linked recessive, or x-linked dominant? why? What will be the importance of labelling your slides Suppose that your estimates of the possible one-year returns from investing in the common stock of the A. A. Eye-Eye Corporation were as follows: Probability of occurrence Possible return 0.1 -10% 0.2 5% 0.4 20% 0.2 35% 0.1 50% a. What are the expected return? b. Calculate the standard deviation? Andy is the president of a neighborhood business association. He has been invited to the opening of a retail store but is unable to attend. Drag each part of his email decline the invitation to the correct section. Which nation signed a nonaggression pact with Germany thag led to in invasion and divison of Poland Suppose a seven-year, $1000 bond with an 8% coupon rate and semiannual coupons is trading with a yield to maturity of 6.75%. a.Is this bond currently trading at a discount, at par, or at a premium? Explain. b.If the yield to maturity of the bond rises to 7% (APR with semiannual compounding), what price will the bond trade for?