Jay and Ted observed two points, P and Q, on a number line. A number line is shown from negative 1 to positive 1 with increments of 1 over 8. The numbers negative 1, negative 6 over 8, negative 4 over 8, negative 2 over 8, 0, 2 over 8, 4 over 8, 6 over 8 are labeled on the number line. A point P is shown at the first tick mark to the left of 0, and a point Q is shown at the first tick mark to the right of 0. Jay said that the absolute values of the numbers represented by the two points are the same. Ted said that the absolute values of the numbers represented by the two points are different. Which of the following explains who is correct? Jay, because each point is fraction 1 over 8 unit from 0 Jay, because the distance between the points is fraction 1 over 8 unit Ted, because the points are on different sides of 0 Ted, because the points are at different locations on the number line

Answers

Answer 1

The statement that  explains who is correct is "Jay because each point is fraction 1 over 8 units from 0." Option A

This is further explained below.

Which of the following explains who is correct?

Generally, Begin from zero and make your way to point P. To do this, we will simply shift our position leftward 1/8 of a unit. In a similar manner, in order to go from 0 to point Q, we will travel 1/8 of a unit.

Therefore, the distance from point P to zero is the same to the distance from point Q to zero.

Since this is the case, the absolute values are identical.

In conclusion, Jay is accurate since each point is 1/8 of a unit distant from 0; this distance may be calculated.

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Jay And Ted Observed Two Points, P And Q, On A Number Line. A Number Line Is Shown From Negative 1 To

Related Questions

Find the product. -5x(2x + 2x7)

Answers

Answer:

The answer is 85x

Step-by-step explanation:

Answer:

−10x[tex] \sf {}^{8} [/tex]−10x[tex] \sf {}^{2} [/tex]

Step-by-step explanation:

(−5x)(2x+2x[tex] \sf {}^{7} [/tex])

=(−5x)(2x+2x[tex] \sf {}^{7} [/tex])

=(−5x)(2x)+(−5x)(2x[tex] \sf {}^{7} [/tex])

=−10x[tex] \sf {}^{2} [/tex]−10x[tex] \sf {}^{8} [/tex]

=−10x[tex] \sf {}^{8} [/tex]−10x[tex] \sf {}^{2} [/tex]

Al buys raw peanuts for .40 for a pound. He roasts and sells them in .2 pound bags.how much does a bag of peanuts cost al?

Answers

Answer:

0.08

Step-by-step explanation:

.2 is 1/5 of a pound, so the cost is (.40)/5 = 0.08

HELP!! WILL GIVE BRAINIEST WHO ANSWERS CORRECTLY

you are standing near a street lamp that is 12 feet tall. suppose you are 5.5ft tall and your shadow casted on the ground is 10 ft long. how far are you standing from the lamp post?

Answers

Using proportions, it is found that you are standing 31.8 ft from the lamp post.

What is a proportion?

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using a rule of three, when the measures have a degree of proportionality among them, using operations such as multiplication or division.

For this problem, the procedure is relatively simple, as we just find the proportional relationship between the the heights and shadows, and apply a rule of three to find the desired measure.

For this problem, we have that the heights and shadows are related as follows:

Height of 5.5 ft, shadow of 10 ft.Height of 12 ft, distance of d - 10, due to the shadow.

Hence the following proportional equation is built:

5.5/10 = 12/(d - 10)

0.55 = 12/(d - 10).

Applying cross multiplication, we can solve for d as follows:

0.55d - 5.5 = 12

0.55d = 17.5.

d = 17.5/0.55

d = 31.8.

You are standing 31.8 ft from the lamp post.

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15. Which relation has a domain of {-5, -3, 0) and a range of {1, 2, 3, 4, 5, 6, 7, 8)?
O {(2,-5), (3,-3), (6, 0), (7,-5), (1, 0), (8,-5), (4, -3), (5, 0))
O((-5, 8), (-5, 2), (-3, 3), (-3, 1), (0, 4), (0, 5), (-5, 7), (-3, 6)}
{(-5, -5), (-3,0), (2, 8), (1,7), (5, 3), (6,4)}
((-5, 9), (10, -3), (2, 1), (3, 4), (0, 5), (6, 8), (0, 7)}

Answers

Among the four options provided in the reference diagram for the question attached thereby along with the question statement, {(-5, 8), (-5, 2), (-3, 3), (-3, 1), (0, 4), (0, 5), (-5, 7), (-3, 6)} is the relation that has a domain of {(-5), (-3), 0} and a range of {1, 2, 3, 4, 5, 6, 7, 8}.

As per the question statement, we are required to determine the relation which has a domain of {-5, -3, 0) and a range of {1, 2, 3, 4, 5, 6, 7, 8).

To solve this question, we will use the trial-and-error method on the options provided. We have to find out possible (x, y) combination, where "x" belongs to the set of {(-5), (-3), 0} and "y" belongs to the set of {1, 2, 3, 4, 5, 6, 7, 8}, and match these combinations with the options.

The first option has x values from the set of {1, 2, 3, 4, 5, 6, 7, 8} and y values from the set of {(-5), (-3), 0}. Hence, it is not the correct answer.

The second option has x values from the set of {(-5), (-3), 0} and y values from the set of {1, 2, 3, 4, 5, 6, 7, 8}. Hence, it is one possible correct answer.

The third and fourth options have values out of the sets of {(-5), (-3), 0} and {1, 2, 3, 4, 5, 6, 7, 8}. Hence, they are not the correct answers.

Therefore,  {(-5, 8), (-5, 2), (-3, 3), (-3, 1), (0, 4), (0, 5), (-5, 7), (-3, 6)} is the relation that has a domain of {(-5), (-3), 0} and a range of {1, 2, 3, 4, 5, 6, 7, 8}.

Range & Domain of a Function: In a function, say [y = f(x)], the set of values we can plug into the function, i.e., "x" is the domain for the function while, the set of outputs the function will produce on inputs of x, will form the Range of the function.

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Chapter 8 part 2
in need of help asap!!!!!
6.Find the circumference of each circle. Use your calculator's value of [pi]. Round your answer to the nearest tenth.
7.Find the area of each. Use your calculator's value of [pi]. Round your answer to the nearest tenth.
8.Find the area of each. Use your calculator's value of [pi]. Round your answer to the nearest tenth.
9.Find the length of each arc. Round your answers to the nearest tenth.
10.Find the length of each arc. Round your answers to the nearest tenth.

Answers

6)  The circumference of the circle is; 36.7 Km

7) The area of the Circle is; A = 58.1 m²

8) The area of the circle is; A = 116.9 m²

9) The length of the arc is; L = 61.3 ft

10) The length of the arc is; L = 11.5 ft

How to find the area and circumference of a circle?

6) Formula for circumference of circle is; C = πD

Where D is diameter. Thus;

C = π * 12

C = 36.7 Km

7) Area of a circle is given by the formula:

A = πd²/4

Thus; A = π * 8.6²/4

A = 58.1 m²

8) Area of circle here is;

A = πr²

A = π * 6.1²

A = 116.9 m²

9) Formula for length of arc is;

L = θ/360 * 2πr

L = 270/360 * 2π*13

L = 61.3 ft

10) L =  θ/360 * 2πr

L = 60/360 * 2π*11

L = 11.5 ft

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Would be wonderful, if anyone could help me understand what steps you should do for this one.

Answers

The value of x is 6 is proved by equating line segment PM and MR as M is the midpoint of line PR.

What is midpoint of line segment?

The midpoint divides the line segment into two equal parts. As the number line progresses, the leftmost numbers become smaller, and the rightmost numbers become larger. Adding, subtracting, and multiplying can also be done using a number line like for addition move towards right and for subtraction move towards left.

It is given that M is the midpoint of line segment PR which implies M will divide PQ into two equal parts that is PM (2x + 5) equals MR (4x - 7). now calculating x value first :

PM = MR

2x+5 = 4x -7

4x -2x = 5 + 7

2x = 12

x = 12/2

x = 6

Hence proved that the value of x is 6

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set of numbers divisible by 3 from 5 to 25

Set-Bulider Notation
Roaster Method

Answers

Step-by-step explanation:

(6, 9, 12, 15, 18, 21, 24)

A square has a side of length 2x cm. In terms of x, what is its...
a) perimeter?
b) area?

Answers

Perimeter = 8x cm
Area = 4x square cm

A random number generator will pick a whole number from 1 to 20 ten times. Predict how many times you think it will pick two numbers that are 8 or less. Explain.

Answers

The prediction of the number of times it will pick two numbers that are 8 or less is 4 times

How to predict the number of times it will pick two numbers that are 8 or less?

The given parameters are

Sample space = Whole number from 1 to 20Number of trials, n = 10Probability values: Values that are 8 or less

The sample size of whole number from 1 to 20 is

Sample Size = 20

While the sample size of the probability values that are 8 or less is

Probability Size = 8

So, the probability of selecting a value that is 8 or less is

P = Probability Size/Sample Size

So, we have

P = 8/20

The prediction of the number of times it will pick two numbers that are 8 or less is

Prediction = P * n

So, we have

Prediction = 8/20 * 10

Evaluate the product

Prediction = 4

Hence, the prediction of the number of times it will pick two numbers that are 8 or less is 4 times

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7. We call the middle of each individual class the class:

a. interval.
b. cumulative frequency.
c. relative frequency.
d. mid-point.

Answers

Answer:

Step-by-step explanation:

Answer:

b cumulative frequency

Step-by-step explanation:




Which graph represents the solution to the inequality −2.79 is less than or equal to the product of a number and 0.3?

number line with closed circle on point negative 9.3 and arrow shaded to the right
number line with open circle on point negative 9.9 and arrow shaded to the left
number line with closed circle on point negative 3.2 and arrow shaded to the left
number line with closed circle on point negative 3.2 and arrow shaded to the right

Answers

Answer: I think it's C. number line with closed circle on point negative 3.2 and arrow shaded to the left

please help the answer is 97 but i want to know the process of doing it ASAP

Answers

Answer:

  97

Step-by-step explanation:

You want the value of the composition of functions f and g for x=4.

Composition

The ring operator signifies a composition of functions. It works right to left. That is, ...

  [tex](f\circ g)(x)=f(g(x))[/tex]

A composition is evaluated using the Order of Operations, working from inner parentheses outward.

Application

  [tex](f\circ g)(4)=f(g(4)) = f(3-\dfrac{1}{2}4^2)=f(-5)\\\\=4(-5)^2-3=100-3=\boxed{97}[/tex]

How much of the circle is shaded? Write your answer as a fraction in simplest form.

Answers

Answer:

  5/28

Step-by-step explanation:

You want the shaded portion of a circle that has non-overlapping portions 1/4 and 4/7 that are unshaded.

Difference of fractions

The shaded portion of the circle is what is left after the fractions 1/4 and 4/7 are subtracted from the whole (1).

  1 -1/4 -4/7 = 3/4 -4/7 = (3·7 -4·4)/(4·7) = (21 -16)/28 = 5/28

5/28 of the circle is shaded.

__

Additional comment

Sometimes it is easiest to use the product of denominators as the common denominator. Here, that also happens to be the least common denominator.

We used the formula for fraction subtraction:

  [tex]\dfrac{a}{b}-\dfrac{c}{d}=\dfrac{ad-bc}{bd}[/tex]

No reduction of the result is needed in this case.

Answer:

the answer is 5/28

Step-by-step explanation:

5/28 is the answer

Suppose you roll 2 dice. What is the pobability that the sum of the 2 dice is ≤ 2, given that the 1st dice is a 1?

Answers

The probability that the sum of the 2 dice is less than 2 is equal to 1/36.

Given that the sum required is less than or equal to 2 and the first dice is a 1.

We are required to find the probability if 2 dices are rolled and the sum of the 2 dice is less than 2.

Probability is basically the likeliness of happening of any event among all the events possible. It lies between 0 and 1.

Probability=Number of items/Total items

Outcomes=(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)

Outcome whose sum is less than or equal to 2=(1,1)

Probability=1/36

Hence the probability that the sum of the 2 dice is less than 2 is equal to 1/36.

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What is the greatest common factor of 26 and 4?​

Answers

Answer:

2

Step-by-step explanation:

List of positive integer factors of 26 that divides 4 without a remainder. We found the factors and prime factorization of 4 ad 26. The biggest common factor number is the GCF number. So the greatest common factor 4 and 26 is 2.

Geneva treated her parents to dinner at their favorite restaurant. The bill was $77.25. She wants to leave 16% of the total bill as a tip. How much should the tip be, in dollars?

Answers

Answer:

Step-by-step explanation:

Given that;

Amount paid for dinner = $74.25

Percentage of tip = 16% = 0.16

Find: Amount of tip

Computation: Amount of tip = (Amount paid for dinner)(Percentage of tip)

Amount of tip = (74.25)(0.16)

Amount of tip = $11.88

Jack and Jill shared
1
2
of a cake. Jack got to eat twice as much cake as Jill. What
fraction of the whole cake did Jack eat?

Answers

The fraction of the whole cake did Jack eat = 1/3.

What precisely is a fraction in mathematics?

A fraction is a portion of a whole. In arithmetic, each number is expressed as a quotient, which is the numerator divided by the denominator. In a simple fraction, these are both integers. A complicated fraction contains a fraction in either the numerator or denominator.

According to the given data:

Jack's share of the total cake is 1/3

Total fraction of cake = 1/2

Let :

Jill's share = x

Jack's share = 2x

Jack's share + Jill's share = total fraction of cake

x + 2x = 1/2

3x = 1/2

x = (1/2 ÷ 3)

x = (1/2 × 1/3)

= 1/6

Jack's share:

= 2x

= 2(1/6)

= 2/6

= 1/3

So,

Jack's share of the cake is 1/3.

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I need help with the question in this photo

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

In plane Euclidean geometry, a rhombus is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal

Wild Safari Tours charges $75 per person for a day trip, and deducts $25 for every fourth person in a group of four or more. What is the cost for a group of four? a group of nine? Show work.

Answers

The cost for a group of nine will be $625.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

total number of people in the group is nine

total amount that will be charged will be = $75×9= $675

the amount that will deduct is  $25

there will be to groups will be 2

so total amount that will be deducts =  $25×2=  $50

so total cost will be $675- $50=  $625

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The weight of water is 62 1/2 lbs per cubic foot. How many cubic feet would be occupied by 160 lbs of water

Answers

Answer:

32.86.

Step-by-step explanation:

I FOUND this answer because...

Eight rational numbers are plotted on a number line.

A number line with Point A labeled at negative three halves. Point B is labeled at negative four thirds. Point C is labeled at negative three fourths. Point D is labeled at negative two thirds. Point E is labeled at two thirds. Point F is labeled at three fourths. Point G is labeled at four thirds. Point H is labeled at three halves.

Which of the following is true about opposite numbers?

Point B and Point C are opposite rational numbers because they are the reciprocal of each other.
Point B and Point F are opposite rational numbers because they are the opposite reciprocals of each other.
Point B and Point E are opposite rational numbers because Point B is farther away from zero than Point E.
Point B and Point G are opposite rational numbers because they are the same distance away from zero.

Answers

The option that is true about opposite numbers is; Option D: Point B and Point G are opposite rational numbers because they are the same distance away from zero.

What are the Opposite Numbers?

Opposite numbers are numbers that, when placed on a number line, are the exact same distance away from the 0, but on opposite sides, or in opposite directions.

We are given the points on the number line as;

A = -3/2

B = -4/3

C = -3/4

D = -2/3

E = 2/3

F = 3/4

G = 4/3

From the above, we can tell that;

Points B and G are opposite numbers

Points C and F are opposite numbers

Points D and E are opposite numbers

Looking at the given options, the only correct one is; Option D: Point B and Point G are opposite rational numbers because they are the same distance away from zero.

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Which Law of Exponents is used to write (3ab)³ as the equivalent expression 27a³b³?
Choose the correct answer below.
OA. Product of a Power Law
B. Power of a Power Law
C. Power of a Product Law
OD. Power of a Quotient Law
...

Answers

Answer:

A) product of a power law

Step-by-step explanation:

most sensible

Multiplying each digit of one number by each digit of another number won’t work when you’re multiplying numbers with more than three digits

Answers

Answer: this statement would be true because that would mean that 100x100=1

Step-by-step explanation:hope it helps, brainliest? i could really use it


El conjunto de todos los
números Cardinales entre 4 y 14

Answers

El conjunto de todos los

números Cardinales entre 4 y 14

=4,5,6,7,8,9,10,11,12,13,14

números Cardinales:

Los números cardinales son los números que se usan para contar algo. También se dice que estos son cardenales. Los números cardinales son los números de conteo que comienzan desde 1 y continúan secuencialmente y no son fracciones.

El significado de los cardenales es "cuántos" de cualquier cosa existen en un grupo.

o

Los cardenales significan "cuánto" existe en un grupo.

Por ejemplo, si queremos contar el número de manzanas que hay en la cesta, tenemos que hacer uso de estos números, como 1, 2, 3, 4, 5… y así sucesivamente. Los números nos ayudan a contar el número de cosas o personas presentes en un lugar o grupo. Los números cardinales denotan la colección de todos los números ordinales.

El conjunto de todos los

números Cardinales entre 4 y 14

=4,5,6,7,8,9,10,11,12,13,14

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If we know that W is a subset of the vector space V and we know that W contains the zero vector 0, then W must be a subspace of V.

True

False

Answers

The statement that W must be a subspace of V is "true."

What exactly is a vector's subspace?A vector space that's also enclosed inside another vector space is referred to as a subspace. So each subspace is a vector space in and of itself, but it is also defined in relation to another (larger) vector space.

Fr the given question;

To demonstrate that a subset is indeed a subspace, you must demonstrate three things:

Show that it is closed in addition. Demonstrate that it is closed under scalar multiplication. Demonstrate that vector 0 is included in the subset.

As, it is given in the question that;

W is a subset of the vector space V. W contains the zero vector.

Which shows that the W must be within the subspace of V.

Thus, the set W is the subspace of V is true statement.

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A circular dartboard with a diameter of 24 inches has a circular bullseye at its center. The diameter of the target is 10 inches. If a poorly thrown dart is equally likely to hit anywhere on the dartboard, what is the probability of it hitting the target? (Write your answer as a fraction.)

Answers

The value of the probability of hitting the target is 0.1736.

According to the statement

We have to find that the value of the probability.

So, For this purpose, we know that the

Probability is the branch of mathematics that studies the possible outcomes of given events together with the outcomes' relative likelihoods and distributions.

From the given information:

A circular dartboard with a diameter of 24 inches has a circular bullseye at its center. The diameter of the target is 10 inches.

Then

Area of a circular dartboard = [tex]\pi r^{2}[/tex]

Area of a circular dartboard = [tex](3.14)* 12^{2}[/tex]

Area of a circular dartboard = [tex](3.14) *144[/tex]

Area of a circular dartboard = 452.16 inches

And then

Area of a circular bullseye = [tex]\pi r^{2}[/tex]

Area of a circular bullseye = [tex](3.14)* 5^{2}[/tex]

Area of a circular bullseye = [tex](3.14) * 25[/tex]

Area of a circular bullseye = 78.5

Then

Probability of hitting the target = Area of a circular bullseye / Area of a circular dartboard

Probability of hitting the target = 78.5 / 452.16

Probability of hitting the target = 0.1736.

So, The value of the probability of hitting the target is 0.1736.

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PLS HELP THIS IS DUE FIRST THING TMR

Answers

Answer:

a=25

b=90

c=45

d=25

e=90

g=130

h=50

i=130

k=85

l=95

n=95

Step-by-step explanation:

HELP I ONLY HAVE 1 MORE CHANCE TO DO THIS PLEASE!!!

Answers

Hello and Good Morning/Afternoon:

The table shows a linear function:

 [tex]\hookrightarrow \text{This means that the slope is consistent between all the points}\\[/tex]

Thus we can use any point to help us find our slope:

 [tex]\hookrightarrow \text{let's pick two points}[/tex]

(x₁, y₁) = (2,7)(x₂,y₂) = (5,16)

       [tex]\hookrightarrow \text{Slope} = \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{16-7}{5-2} =\dfrac{9}{3} =3[/tex]

Answer: 3

Hope that helps!

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Classify the indicated pairs of angles.

Answers

Answer:

can you send a link or photo of the angles?

Step-by-step explanation:

An investor bought 400 shares of stock, some at $2.75 per share and some at $4.00 per share. If the total cost was $1443.75, how many shares of each stock did the investor buy? (Round to two decimal places if necessary.)

Answers

If the total cost was $1443.75, 125.00 shares were bought at $2.75 and 275.00 shares were bought at $4.00.

How do we represent the shares bought at different prices?

We can represent the number of shares bought at $2.75 as x and the number of shares bought at $4.00 as y, hence, the sum of x and y is

400x+y=400....... equation 12.75x+4.00y=1443.75 .......... equation 2

solve for x in equation:

1x=400-y2.75(400-y)+4.00

y=1443.751100-2.75y+4.00

y=1443.751.25

y=1443.75-11001.25

y=343.75

y=343.75/1.25

y=275.00275

shares were bought at:

$4.00x+y=400

x+275=400

x=400-275

x=125.00125

shares were bought at $2.75.

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How do you compare the direction of the applied force and friction force What term did don norman define as story that puts the operation of the system into context, weaving together all of the essential components, providing a framework, a context, and reasons for understanding?. 1. . What is facilitated diffusion?2. Name one type of proteins are involved in facilitated diffusion?3. True / False: Diffusion of water and facilitated diffusion require energy from a cell.4. Diffusion of water and facilitated diffusion are forms of transport. __________________5. What is osmosis?6. Controlling osmosis is important in helping a cell maintain which is a stable internal environment. _____________________7. In osmosis, water molecules move toward the region of concentration. ___________________8. Osmosis works because water molecules (solvent) can move through a membrane, but __________________________ cannot. Numbers 9 and 10 are on the next page.9. Two solutions that have equal concentrations are said to be ________________.10. If a red blood cell is placed into a hypertonic solution, what will happen to that red blood cell? URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTSThe diagram below shows a portion of the electromagnetic spectrum. Which of the following statements correctly explains the relationship between FM and AM radio waves? URGE!!!! Como despejar16-36xcuadrada (16-36x2) How did the Magna Carta protect the rights of people accused of a crime? How do adaptations affect a species?A. They decrease reproduction in the species.B. They make the species less likely to survive.C. They make the species more genetically diverse.D. They give the species less genetic diversity. Hi guys, I really need help with these I need them in 20 mins! Please help! I will give brainliest and 20 pts for the best answer! Please be quick! I think there are 3 or more questions. Thx so much guys! In what ways did Benedictine monasticism benefit europe? review each of the following statements to determine which is correct regarding the importance of assessing a company's risk of paying debt. (check all that apply.) a customer's overall assessment of his or her interaction throughout the entire process of finding, buying, and using a product is known as . A successful basketball player has a height of 6 feet 6 inches, or 198 cm. Based on statistics from a data set, his height converts to the z score of 3.38. How many standard deviations is his heightK above the mean?The player's height is standard deviation(s) above the mean.(Round to two decimal places as needed.) Paragraph 1Explain who you believe took the gardening tools.Identify the mostreliable piece of information you used to solve the mystery and justify your answer. You should include the following:what the source told you about the crimewhy you think this evidence is the most reliablethe type of source (Hint: Was it a newspaper, diary, photograph, etc.? )the purpose of the source (Hint: Why was it created?)whether this source is primary or secondary (Hint: Was it created at the time of the event or after the fact?)Paragraph 2Identify the leastreliable piece of information you used to solve the mystery and justify your answer. You should include the following:what the source told you about the crimewhy you think this evidence is the least reliablethe type of source (Hint: Was it a newspaper, diary, photograph, etc.? )the purpose of the source (Hint: Why was it created?)whether this source is primary or secondary (Hint: Was it created at the time of the event or after the fact?) HELP PLS IMPPPTommy, Kiki, and Bobby are all exposed to the same traumatic event in childhood. In adolescence, Tommy seems very well-adjusted psychologically, Kiki is depressed, and Bobby is showing symptoms of post-traumatic stress disorder.A) active gene-environment correlationB) equifinalityC) evocative gene-environment correlationD) multifinalityE) passive gene-environment correlation Read the excerpt from Neil deGrasse Tysons Death by Black Hole.Black holes are regions of space where the gravity is so high that the fabric of space and time has curved back on itself, taking the exit doors with it. Another way to look at the dilemma: the speed required to escape a black hole is greater than the speed of light itself. . . . light travels at exactly 299,792,458 meters per second in a vacuum and is the fastest stuff in the universe. If light cannot escape, then neither can you, which is why, of course, we call these things black holes.Which of the following features would best enhance the readers understanding of this excerpt?a photograph of a black holea demonstration of the speed of lightan interactive animation of a black holea definition of the term black hole What are the coordinates of the vertices of the image after a 90-degree counter-clockwise rotation about the origin?