What the answer pls help The distance from the tip of a slice of pizza to the crust is 6 inches.

What The Answer Pls Help The Distance From The Tip Of A Slice Of Pizza To The Crust Is 6 Inches.

Answers

Answer 1

The measurement of the distance from the tip of the slice of pizza to the crust is the radius.

The diameter of the pizza is 12 inches and the circumference is 37.7 inches

How to find the circumference?

A slice of pizza is cut from the middle of the pizza to the crust. It is therefore cut from the middle of the pizza (circle) to the edge of the pizza (circle).

This is the radius because the radius is the straight - line distance from the edge of the middle of a circle to the edge.

If the radius is 6 inches, the diameter is:

= radius x 2

= 6 x 2

= 12 inches

The circumference is:

= π x diameter

= 22/7 x 12

= 37.7 inches

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Related Questions

please help me! This is really hard!

please help me! This is really hard!

Answers

The set of numbers that are written in order from least to greatest is: 15.75, √250, 4², 50/3, 16.7 x 10³.

Which number goes from lowest to highest?

You need to solve for the quantities given to see which numbers are the smallest and which are the largest.

15.75 = 15.75

√250 = 15.8

4² = 16

50 / 3 = 16.7

16.7 x 10³ = 16,700

The order from least to greatest is therefore:
15.75, √250, 4², 50/3, 16.7 x 10³.

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Please help!!
I'll give brainlist!

Please help!!I'll give brainlist!

Answers

Step-by-step explanation:

Perpendicular : means two lines meet at 90°

1) angle B = 90° - 50°

= 40°

2) Angle D = 90° - 30°

= 70°

If you roll a number cube 20 times, about how many times do you expect
to roll a number greater than 4?

Answers

Step-by-step explanation:

If you are using a fair six - sided cube , there are two numbers out of six that are greater than 4  ( 5 and 6 )

 sooo:    2 out of 6   or  1/3 should be greater than 4

1/3 * 20 = 6 2/3 = ~ 7

Write the domain and the range of the function as an inequality, using set notations, and using interval notation. Also describe the end behavior of the function or explain why there is no end behavior (19 points and brainliest)

Write the domain and the range of the function as an inequality, using set notations, and using interval

Answers

Answer:

Step-by-step explanation:

I think we need to define domain and range first.

Domain is the set of all x values where the function f(x) exists or is defined.

Range is the set of all y values that will result from substituting all x values (the domain) into the function.

So for g(x) = 2x - 2 we can evaluate g(x) at any point, and we will get a real answer for y.

So the range of g(x) = 2x -2 is also all real numbers, because no matter what value of x is, we can always multiply that number by 2 and subtract 2.

The inequality does not affect the domain and range of linear functions at all. Don't confuse domain and range with a solution to an inequality. These two concepts are different. Domain and range mean all possible values of x and y that could be substituted into the inequality. A solution means all possible values that make the inequality statement true.

The domain as an inequality would be -∞ < x < ∞

The range as an inequality would be -∞ < y < ∞

As a set notation:

Domain {x | -∞ < x < ∞}

Range {y | -∞ < x < ∞}

In interval notation:

Domain (-∞ , ∞)

Range (-∞ , ∞)

End behavior:

As x gets larger and larger, g(x) gets larger and larger as well, and as x gets smaller, g(x) gets smaller too.

I NEED HELP! will give brainliest, please show your work
Philip made a total of 9 bracelets and necklaces from 120 inches of cord.
He used 8 inches of cord for each bracelet and 20 inches of cord for each necklace.
Use matrices to find the number of bracelets and the number of necklaces that Philip made.
number of bracelets=
number of necklaces=

Answers

Answer:

number of bracelets= 5

number of necklaces= 4

Step-by-step explanation:

* I don't know how to show a matrix with a keyboard so I'm just going to do two lines of brackets to represent the matrix.

b=bracelets

n=necklaces

[8   20  | 120]

[b   n    |  9   ]

You should put this into a graphing calculator:

[8   20  | 120]

[1     1    |  9   ]

Then use reduced row echelon form which equals:

[1   0   |   5]

[0   1   |   4]

The top line being the number of bracelets and the bottom line being the number of necklaces  

List the first six terms of the sequence defined by an = (5n -1 )/3n+1 Q1 = a1= , a2= , a3=,
a4= , a5= ,a6=
Does the sequence appear to have a limit? (enter Yes or No) If so, find it.

Answers

The first six terms of the sequence defined by an = (5n -1 )/3n+1 Q1 = a1= 1, a2=1.286 , a3=1.4, a4=1.462 , a5=1.5 ,a6=1.526 . Therefore, the sequence has a limit of 5/3.

To find the first six terms of the sequence defined by an = (5n -1 )/3n+1, we need to substitute the values of n=1, 2, 3, 4, 5, and 6 into the expression given.

Then we will have the values of the first six terms of the sequence:

a1 = (5(1) - 1)/(3(1) + 1) = 4/4 = 1

a2 = (5(2) - 1)/(3(2) + 1) = 9/7 ≈ 1.286

a3 = (5(3) - 1)/(3(3) + 1) = 14/10 = 1.4

a4 = (5(4) - 1)/(3(4) + 1) = 19/13 ≈ 1.462

a5 = (5(5) - 1)/(3(5) + 1) = 24/16 = 1.5

a6 = (5(6) - 1)/(3(6) + 1) = 29/19 ≈ 1.526

To find whether the sequence appears to have a limit or not, we can observe the values of the sequence. As we can see, the values of the sequence are increasing, but they do not seem to be increasing without bound.

Therefore, the sequence appears to have a limit. Using the limit formula, we can find the limit of the sequence as follows: lim n→∞ (5n - 1)/(3n + 1) = lim n→∞ [(5/n) - (1/n)] / [(3/n) + (1/n)] = lim n→∞ [5 - 1/n] / [3 + 1/n] = 5/3

So, the sequence has a limit of 5/3.

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A line has a slope of 1 and passes through the point (-4,1). What is its equation in
slope-intercept form?

Answers

Answer:

y = 1x + 5

Step-by-step explanation:

y = 1x + b

1 = 1(-4) + b

1 = -4 + b

5 = b

y = 1x + 5

A hashing algorithm is a routine that converts a primary key value into a relative record number. T/F

Answers

True. A hashing algorithm is a mathematical routine used to generate a hash value from a primary key value.

A relative record number that may be used to retrieve the required record in a data structure is created using this hash value.

In order to facilitate quick access to the data, the hashing algorithm makes sure that the same hash value is generated for every primary key. How quickly the requested record can be found depends on how effective the hashing method is.

Also, it must be safe enough to prevent two main key values from producing the same hash value, as doing so might result in accessing the wrong records.

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Solve the triangle. B=67∘51′,c=36m,a=74m What is the length of side b ? b=m (Round to the nearest whole number as needed.) What is the measure of angle A ? A= (Round to the nearest whole number as needed.) What is the measure of angle C ? C= (Round to the nearest whole number as needed.)

Answers

The length of side b is 56m, angle A is 45°, and angle C is 67°.

What is the length of side b in the given triangle?

In the given triangle with side lengths a = 74m, b ≈ 56m, and c = 36m, the length of side b is approximately 56m.

To solve the triangle, we can use the Law of Cosines and the fact that the sum of angles in a triangle is 180 degrees. Given angle B = 67°51', we have:

Length of side b:

Using the Law of Cosines, we have:

b² = a² + c² - 2ac * cos(B)

Substituting the known values:

b² = 74² + 36² - 2 * 74 * 36 * cos(67°51')

Calculating the value of b:

b ≈ √(74² + 36² - 2 * 74 * 36 * cos(67°51'))

b ≈ 55.92m (rounded to the nearest whole number, b ≈ 56m)

Measure of angle A:

Using the Law of Cosines again, we have:

cos(A) = (b² + c² - a²) / (2 * b * c)

Substituting the known values:

cos(A) = (56² + 36² - 74²) / (2 * 56 * 36)

Calculating the value of A:

A = cos⁻¹((56² + 36² - 74²) / (2 * 56 * 36))

A ≈ 45° (rounded to the nearest whole number)

Measure of angle C:

Using the fact that the sum of angles in a triangle is 180 degrees:

C = 180° - A - B

Substituting the known values:

C ≈ 180° - 45° - 67°51'

Calculating the value of C:

C ≈ 67°9' (rounded to the nearest whole number, C ≈ 67°)

Therefore, in the given triangle, the length of side b is approximately 56m, angle A is approximately 45°, and angle C is approximately 67°.

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Find the value of x that makes A||B.

22 = 3x - 20 and 25 = x + 20
x = [?]
Enter

Find the value of x that makes A||B.22 = 3x - 20 and 25 = x + 20x = [?]Enter

Answers

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\(angle \: 2 \: = angle \: 5\)

\(3x - 20 = x + 20\)

Add sides 20

\(3x - 20 + 20 = x + 20 + 20\)

\(3x = x + 40\)

Subtract sides x

\( - x + 3x = - x + x + 40\)

\(2x = 40\)

Divide sides by 2

\( \frac{2x}{2} = \frac{40}{2} \\ \)

\(x = 20\)

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I don’t understand how to do inequality equation and how to put it on the line graph

I dont understand how to do inequality equation and how to put it on the line graph

Answers

Given,

The expression of inequality is:

\(2x-2\leq3x+1\)

Required:

The graph of the inequality expression.

Simplifying the inequality expression,

\(\begin{gathered} 2x-2\leq3x+1 \\ 2x-2-1\leqslant3x+1-1 \\ 2x-3\leq3x \\ 2x-2x-3\leq3x-2x \\ -3\leq x \\ x\ge-3 \end{gathered}\)

The graph of inequality expression is:

Hence, the graph of the equation obtained.

I dont understand how to do inequality equation and how to put it on the line graph

what is the result of -25 x(84/21)+(-3)x(-6) ??

Answers

Answer:

-82

Step-by-step explanation:

84/21=4

-25x4=-100

-3x-6=18

-100+18=-82

The perimeter of a square is 80cm
state the length of one of its side

Answers

Answer:

20cm

Step-by-step explanation:

a square has 4 equally long sides.

when we know its perimeter, that means we know the sum of all 4 sides.

since all sides are equality long, we only need to divide the perimeter by 4 to get the length of an individual side.

80/4 = 20cm

a newsletter publisher believes that under 69% 69 % of their readers own a rolls royce. is there sufficient evidence at the 0.10 0.10 level to substantiate the publisher's claim? state the null and alternative hypotheses for the above scenario.

Answers

No, there is not sufficient evidence to substantiate the claim at the 0.10 level. Null Hypothesis (H0): p ≤ 0.69; Alternative Hypothesis (H1): p > 0.69

A newsletter publisher believes that under 69% of their readers own a Rolls Royce.

No, there is not sufficient evidence to substantiate the claim at the 0.10 level. In order to substantiate the claim at the 0.10 level, the publisher would need to collect data from their readers and perform a hypothesis test to compare the observed percentage of readers with the claimed percentage.

Null Hypothesis: The proportion of the newsletter readers that own a Rolls Royce is less than or equal to 69%.

Null Hypothesis (H0): p ≤ 0.69

Alternative Hypothesis: The proportion of the newsletter readers that own a Rolls Royce is greater than 69%.

Alternative Hypothesis (H1): p > 0.69

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Can you name the angle pairs and type the correct code? Please remember to type in ALL CAPS with no spaces.

Can you name the angle pairs and type the correct code? Please remember to type in ALL CAPS with no spaces.

Answers

Answer:

AGDB

Step-by-step explanation:

Pair 1: Alternate interior

Pair 2: Alternate exterior

Pair 3: Same-side interior

Pair 4: Same-side exterior

show that's ABE = EBC ​

show that's ABE = EBC

Answers

Answer:

abe = ebc

Step-by-step explanation:

bcos both the seperate angels have the same degree

Since ABD + DBE = DBE + EBC, so ABE = EBC

Need 6 and 7 done please and thank you

Need 6 and 7 done please and thank you

Answers

Answer:

black

black

Step-by-step explanation:

Solve linear equation by substitution. check solution
y = -2x + 4
-x + 3y = -9

Answers

The required solution (x, y) = (3, -2) satisfies both equations, and it is the correct solution.

To solve the linear equation -x + 3y = -9 by substitution using the equation y = -2x + 4, we can substitute y in the second equation with -2x + 4 from the first equation, as follows:
-x + 3(-2x + 4) = -9
x - 6x + 12 = -9
-7x = -21
x = 3

Now, we can use the value of x to find the value of y from the first equation,
y = -2x + 4:
y = -2(3) + 4
y = -2

So the solution to the system of equations is (x, y) = (3, -2).

To check the solution, we can substitute the values of x and y in both equations and verify that they are true:
y = -2x + 4 becomes -2 = -2(3) + 4, which is true.
-x + 3y = -9 becomes -3 + 3(-2) = -9, which is also true.

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pls hurry. 12. Given that a, b, and c are the side lengths of a right triangle, which set of numbers does NOT necessarily represent side lengths of a right triangle?

pls hurry. 12. Given that a, b, and c are the side lengths of a right triangle, which set of numbers

Answers

The side which not form a right angle triangle is,

a+5, b+5, c+5.

Hence option D is correct.

Here the right angle triangle is mentioned,

We know that,

A right-angled triangle is one with one of its internal angles equal to 90 degrees, or any angle is a right angle.

As a result, this triangle is also known as the right triangle or the 90-degree triangle.

We know that the Pythagoras theorem for a right angled triangle:

(Hypotenuse)²= (Perpendicular)² + (Base)²

So, the set of numbers that does not necessarily represent side lengths of a right triangle is  a+5, b+5, c+5.

Because adding 5 to each side won't necessarily satisfy the Pythagorean theorem.

Hence,

The given set a+5, b+5, c+5 will not form  a right angle triangle.

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What is the slope of function 1

What is the slope of function 1

Answers

Answer: The slope is 2

Step-by-step explanation:

Rugged cabin co. provides pre-made materials to build cabins. to ensure materials are in supply and ready for quick delivery, the company offers cabins in only three sizes. each cabin has rectangular floor plan where the length is equal to 5 feet more than twice the width. which expression represents the area, in square feet, for each cabin size?A. 2w^2 + 5w, where w is the widthB. 2w^2 + 5, where w is the widthC. 2w^2, where w is the widthD. 10w^2 + 5 w, where w is the width

Answers

The expression that represent the area of the cabin for rectangular floor plan is 2w² + 5w.

What is the area of rectangular shape?

In essence, the area of a rectangle is equal to the sum of its length and breadth. In contrast, the circumference of a rectangle is equal to the product of its four sides. Consequently, we can say that the area of a rectangle equals the space enclosed by its perimeter.

Given that the length of a cabin is equal to 5 feet more than twice the width.

Assume that the width of the cabin be w.

Then the mathematical expression of twice the width is 2w.

Then the mathematical expression of 5 feet more than twice the width is 2w + 5.The length of the cabin is 2w + 5 feet.

The area of rectangular shape is product of length and width.

The area of the cabin is (2w + 5)w

Apply distributive property:

= 2w × w + 5 × w

= 2w² + 5w

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what is the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations? (round your answer to three decimal places.)

Answers

0.003 is the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations

To calculate the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations.The mean is the expected number of calls involving a fax transmission, while the standard deviation is the measure of variability in the distribution. We then use this information to calculate the probability of exceeding the expected number by more than 2 standard deviations, which can be done using the z-score formula. The z-score for values more than 2 standard deviations away from the mean is 2.33, which corresponds to a probability of 0.003. Thus, the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations is 0.003.

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IM GIVING 40 POINTS!
There is a stack of 10 cards, each given a different number from 1 to 10. Suppose we select a card randomly from the stack, replace it, and then randomly select another card. What is the probability that the first card is an odd number and the second card is less than 4? Write your answer as a fraction in the simplest form

Answers

Answer:

There are 10 cards in the stack, and 5 of them are odd (1, 3, 5, 7, and 9). There are 3 cards (1, 2, and 3) that are less than 4. Since we are replacing the first card before selecting the second, the outcomes are independent and we can multiply the probabilities of each event.

The probability of selecting an odd card on the first draw is 5/10, or 1/2.

The probability of selecting a card less than 4 on the second draw is 3/10, since there are 3 cards that meet this condition out of a total of 10.

Therefore, the probability of selecting an odd card on the first draw and a card less than 4 on the second draw is:

(1/2) x (3/10) = 3/20

So the probability of selecting an odd card on the first draw and a card less than 4 on the second draw is 3/20.

Step-by-step explanation:

Answer:

3/20.

Step-by-step explanation:

To find the probability of two independent events happening together, we multiply their individual probabilities. The probability of the first card being an odd number is 5/10, because there are 5 odd numbers out of 10 cards. The probability of the second card being less than 4 is 3/10, because there are 3 cards (1, 2, and 3) that are less than 4 out of 10 cards. Therefore, the probability of the first card being an odd number and the second card being less than 4 is:

5/10 x 3/10 = 15/100

We can simplify this fraction by dividing both the numerator and denominator by 5:

15/100 = 3/20

So, the final answer is 3/20.

Received message. To find the probability of two independent events happening together, we multiply their individual probabilities. The probability of the first card being an odd number is 5/10, because there are 5 odd numbers out of 10 cards. The probability of the second card being less than 4 is 3/10, because there are 3 cards (1, 2, and 3) that are less than 4 out of 10 cards. Therefore, the probability of the first card being an odd number and the second card being less than 4 is: 5/10 x 3/10 = 15/100 We can simplify this fraction by dividing both the numerator and denominator by 5: 15/100 = 3/20 So, the final answer is 3/20.

What’s the anwer I do not understand this

Whats the anwer I do not understand this

Answers

Answer:

Step-by-step explanation:

So you have to get 2/3 of 128 grams which is about 85 grams. It says she has to mix 64 grams so she went over.

Hope this helps :)

If triangle RST and triangle XYZ are similar, which of these equations must be true?

If triangle RST and triangle XYZ are similar, which of these equations must be true?

Answers

Answer: A

Step-by-step explanation:

If they are similar, that means the proportions for corresponding sides will be the same.

          I personally ignore the picture and use the labels of "triangle RST and triangle XYZ" that the problem gives because the XYZ picture is not lined up with the similarity it has with RST.

(A) says that side ST is corresponding with side YZ,

          [] Triangle RST and triangle XYZ

          -> Correct

(A) also says that side RT is corresponding with size XZ,

          [] Triangle RST and triangle XYZ

          -> Correct

               This means that option A is the correct answer.

Please help me before my mom starts yelling at me about not gettting my assignments done

Please help me before my mom starts yelling at me about not gettting my assignments done

Answers

Answer:

D. no solutions

The radius of a circle is 13.8 cm. Find the circumference
to

the

nearest

tenth

Answers

Answer:

86.7

Step-by-step explanation:

the circumference = 2 x pi x radius

13.8x2.3.14=86.7

Answer:

87

Step-by-step explanation:

there you go

To join a local square dancing group, Jan has to pay a $100 sign-up fee plus $25 per month. Write an equation for the cost (y) based on the number of months.
a. y = 25x + 100
b. y = 100x + 25
c. y = 25 + 100x
d. y = 100 + 25x

Answers

The correct answer is option A which is y = 25x + 100.

Given the following:

To join a local square dancing group, Jan has to pay a $100 sign-up fee plus $25 per month

We need to write an equation for the cost (y) based on the number of months.

To solve the above problem, the answer is;a. y = 25x + 100

Explanation; Let's break down the problem

The $100 sign-up fee is a fixed cost that is added only once to the monthly fee which is $25. Thus the equation for the cost (y) based on the number of months can be expressed as; y = 25x + 100 where:y is the cost for the number of monthsx is the number of months

Therefore the correct answer is option A which is;y = 25x + 100.

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To join a local square dancing group,

Jan has to pay a $100 sign-up fee plus $25 per month.

The equation for the cost (y) based on the number of months is

y = 25x + 100,

where x is the number of months.

Option A is the correct equation for the cost based on the number of months.

Writing the equation:

y = 25x + 100

Where:

y = Cost based on the number of months

x = Number of months

Therefore, when Jan has been part of the local square dancing group for 1 month, the total cost will be:

$25 * 1 + $100 = $125

And if Jan has been a part of the group for 4 months, then the total cost would be:

$25 * 4 + $100 = $200

Therefore, option A is the correct answer.

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The triangle shown below is translated 5 units down and 3 units to the left. What are the coordinates of the vertices of the translated triangle? * D 2 3 4 O (2.0), (2-1), and (-1,-4) O (2,10).(-2,9), and (-1, 11) 0 (0,2).(-4,1), and (-3,-2) 0 (0,8).(-4,7), and (-3, 4)​

Answers

Answer:

Where's the picture?

Step-by-step explanation:

an airplane flying at an elevation of 3,500 ft., directly above a straight highway. two motorists are driving cars on the highway on opposite sides of the plane. the angle of depression to one car is 31 degrees and to the other is 53 degrees. how far apart are the cars?

Answers

The first and second cars are 7724 feet apart from each other.

The angle of depression is the angle we have to move your eyes downwards to look at the car from the plane. Let's start with the first car, with the 31° angle of depression. Draw an upside-down right triangle with vertices at the plane, the car, and the point 3500 feet in the air above the car (level with the plane). The vertex at the plane is 31° and the right angle is the vertex in the air above the car. The length of the leg from the car to the point in the air above the car is 3500 feet. We like to find the length of the leg from the plane to the point in the air above the car. Since the two sides involved are the legs of the triangle, use tangent:

     tan = opposite/ adjacent

⇒  tan(31°) = 3500/x

⇒ 0.60086 = 3500/x

⇒ 0.67 x = 3500            [ rounding up 0.60086 = 0.67]

⇒ x = 5223.88

That means the first car is 5223.88 feet from the point on the highway below the plane.

We can do something similar with the second car, which has an angle of depression of 53° from the plane. Again, the leg from the car to the point in the air above the car (level with the plane) is 3500 feet, the right angle is at the vertex at the point in the air above the car, and the 53° angle is at the vertex at the plane. We are looking for the length of the other leg, which runs from the plane to the point in the air above the car. Use tangent:

    tan(53°) = 3500/x

⇒ 1.327 = 3500/x

⇒ 1.4x = 3500            [ rounding 1.327 = 1.4]

⇒ x = 3500/1.4
⇒ x = 2500

That means the second car is 2500 feet from the point on the highway below the plane.

Add the two distances together to get the total distance from car to car:

5223.88 + 2500.00 = 7723.88

So, rounded to the nearest foot, the cars are 7724 feet apart.

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Other Questions
Which of the following inferences is best supported by the interaction between Reverend Parris and Abigail when they first find Betty sick? aGoody Proctor has stopped coming to church because she thinks Abigail is a witch. bThe people of Salem believed that many of their slaves may be witches. cAbigail will do anything in order to save her uncles ministry. dPast rumors about Abigail have made Parris suspicious of her.Question 8 (1 point)Which sentence from the text most strongly supports the answer to Question 7? a"She hates me, uncle, she must, for I would not be her slave. bI have heard it said, and I tell you as I heard it, that she comes so rarely to the church this year for she will not sit so close to something soiled. cNo one was naked! You mistake yourself, uncle! dUncle, we did dance; let you tell them I confessed itand I'll be whipped if I must be. What has been used to test theories of migration in oceania? a. historical records b. artifacts c. geography d. language Plot 1 X X X xxxx+ Use visual clues to decide which plot has the highest measure. No calculations should be necessary, although you may use them to verify your answers. X X X Highest mean: 4 1 2 3 5 6 7 8 Highest median: Plot 2 X Highest range: Highest interquartile ranges: X X X X W+XXXX X X X X antx 0 1 2 6 8 Done 8 of 9 one reason that a diagnosis of personality disorders is challenging to make is that ____. Cmo se llama lo que queda delimitado por la sangra y el punto aparte? Justine is drawing her own hand, her fingers spread wide on a table. As she draws, Justine observes the shapes made by the negative space between her fingers. Justine is looking at, instead of seeing, her subject? A.) True B.) False A corollary needs which of the following geometric terms to be proven true?A. TheoremB. IdentityC. Common notionD. Inverse Why is the t distribution a whole family rather than a singledistribution? mikkidee345802/19/2020BiologyCollegeanswered expert verifiedDetermine the proportion of offspring phenotypes that would result when two merle dogs mate, if one dog is true-breeding for the long-coat trait and the other dog is true-breeding for the short-coat trait. a. 0b. 1/16c. 1/8d. 3/16e. 1/4f. 3/8g. 1/2h. 3/41. double merle with short coat:1/42. double merle with long coat:03. merle with short coat:1/24. merle with long coat:05. solid with short coat:1/46. solid with long coat:0 Explain the F.I.T.T. Principle for Cardio-Respiratory Endurance? A marketing firm wants to estimate the unknown average salary (in dollars annually) among residents of a certain district. A simple random sample of 400 such residents has an average salary of $42,500 with a standard deviation of $21,200. We estimate the average salary of all residents of the district to be dollars annually. Attach a give-or-take value to this estimate. (That is, estimate the standard error.) dollars annually For an interval with about 75% confidence, about how many standard errors should be added to and subtracted from the estimate I just need this one answer, I have the rest figured out. Who was Rosa Parks and what impact did she have on the civil rights movement? What is she famous for doing? Do you think you could have done what she did in the time period she was alive?(You dont have to sound smart, but dont just write two sentences please) How many pounds (lb) would a marble countertop weigh if it is 34.0 inches wide, 4.50 feet long, and 1.25 inches thick? What are the themes of the play a sunny morning? Only Problem 1 a b and c. Please show me the graph and answer the multiple choice. Not problem 2Problem 1: Short Run and Long Run (16 points total)Many people believe Europe currently is experiencing a recession due to its policy of fiscal austerity. Use the IS-LM/AS-AD model to analyze the short run and long run effects of apermanent fall in government spending.(Make the usual IS-LM assumption: Prices are completely fixed in the short run and completely flexible in the long run. Investment is a function only of the interest rate, consumption only a function of disposable income with a constant marginal propensity to consume.)a) (6 points) Draw the IS-LM and AS-AD graphs to show the short run and long runequilibria. Assume that prices are completely fixed in the short run. Be sure to label the 2 axes and curves, use arrows to show shifts in curves, and mark the equilibrium points: 1 forthe initial equilibrium, 2 for the short run equilibrium, and 3 for the long-run equilibrium.3b) (5 points) What happens to the following variables in the short run equilibrium you analyzed above?MC#9: interest rate:a) rise b) fallc) no change d) ambiguousMC#10: investment:a) rise b) fallc) no change d) ambiguousMC#11: real money demand:a) rise b) fallc) no change d) ambiguousc) no change d) ambiguousMC#12: consumption:MC#13: nominal GDP:a) rise b) falla) rise b) fall c) no change d) ambiguousc) (5 points) Compare the long run equilibrium (point 3 on your graph) to the initial level before the shock (point 1 on your graph). For each variable, is the long run value the same as the initial level before the shock, higher than this, lower or ambiguous? a) same as initial b) higher c) lower d) ambiguous a) same as initial b) higher c) lower d) ambiguous a) same as initial b) higher c) lower d) ambiguous a) same as initial b) higher c) lower d) ambiguous a) same as initial b) higher c) lower d) ambiguousMC#14: real GDP: MC#15: interest rate: MC#16: investment: MC#17: price level:MC#18: nominal GDP:Problem 2: IS-LM in the Short Run (14 points total)Korea. has been using expansionary monetary policy recently. Analyze the short run effects of a rise in money supply in the IS-LM model, as directed below.a) (5 points) Draw an IS-LM diagram for the short run. Be sure to label the axes and curves, and use arrows showing the direction the curves shift. Also mark the initial equilibrium as point '1', and the short-run equilibrium as point '2'. (Make the usual IS-LM assumptions as listed for problem 2 above.) Explain any curve shift briefly. Why does the 2010 Affordable Care Act stand as one of the most important domestic policy plans in recent history? A. It creates universal nursing care for the elderly. B. It reduces the federal governments pollution creation. C. It provides health care coverage for millions of Americans. D. It decreases the cost of energy for disadvantaged Americans. E. It lowers the cost of food stamp programs for the needy. In passage 2, which is a logical inference of why the emancipation proclamation did not free all enslaved people Genetic engineering has both positive and negative outcomes. One of the most common areas where genetic engineering is used is in agriculture. If farmers plant more genetically modified crops, which of the following negative outcomes could occur?A. An increase in the use of pesticidesB. A decrease in genetic diversity of the cropsC. An increase in the contamination of the water supplyD. A decrease in crop productivity an intended goal of contractionary fiscal policy and a tightening of monetary policy is part 2 a. a decrease in the level of aggregate output. b. a decrease in the unemployment rate. c. an increase in interest rates. d. an increase in the price level.