a chart that compares three set of values in a three-dimensional chart is _____.

Answers

Answer 1

A chart that compares three sets of values in a three-dimension chart is called surface.

A two-dimensional collection of points (flat surface), a three-dimensional collection of points with a curved cross section (curved surface), or the perimeter of any three-dimensional solid are all examples of surfaces in geometry.

A surface is typically a continuous boundary that separates two areas of a three-dimensional space. For instance, a sphere's surface divides its interior from its exterior, and a horizontal plane divides the half-planes above and below it. Despite the fact that regions they contain are three-dimensional and have a volume, surfaces are basically two-dimensional and have an area. Despite this, surfaces are frequently referred to by the names of the regions they surround. Differential geometry studies the characteristics of surfaces, particularly the concept of curvature.

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Related Questions

the points in the table lie on a line. find the slope of the line (X. -2, -1, 0, 1) (Y. -10, -6, -2, 2)​

Answers

Answer: the slope of the line is 4

Step-by-step explanation:

We only need two ordered pairs to find the slope

(-2,-10), (-1,-6)

the slope formula is y2-y1/x2-x1

-6-(-10)/-1-(-2)

-6+10/-1+2

4/1

4

the slope of the line is 4

Answer:

4

Step-by-step explanation:

Knowledge Needed

The slope is the amount the y-value changes on a line when the x-value changes by 1.

Slope Formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Question:

We have the points:

(-2,-10)

(-1,-6)

(0,-2)

(1,2)

We only need 2 points to plug into the slope formula. I'll use the first 2.

(-2,-10) ; (-1,-6)

[tex]\frac{-6--10}{-1--2}[/tex]

[tex]\frac{4}{1}[/tex]

4

HELP ME PLEASEEEEEEEE

Answers

Answer: Look in the attachment:

Step-by-step explanation: If it was random sampling, it would all be done randomly, barley without doing anything, and NOT doing anything particular, the 4 that are circled (in the attachment) are the ones that I am talking about; they ARE NOT examples of random sampling. If you look at the attachment, you might understand a little more :P

Let S be the part of the plane 1x+3y+z=3 which lies in the first octant, oriented upwards. Find the flux of the vector field F=3i+2j+3k across the surface S.

Answers

Answer:

Refer to the photo taken.

Step-by-step explanation:

Need help Asap 25 points

Graph the solution to this inequality on the number line.

−8+x<−3

Answers

Answer:

x< 5

Step-by-step explanation:

See the graph below

a square has an area of 121 feet square feet. what is the length of each side

Answers

Answer: 11 feet

Step-by-step explanation:

The equation for area of square is

area = s^2

So we just need to take the square root of 121, and we will get the answer is 11 ft!

Answer:

11 ft

Step-by-step explanation:

Since the area of the square is 121 (and squares have all four sides the same length), the sides must be 11 feet. Because

11 × 11 = 121

You could show work by using an equation.

Area = s^2

121 = s^2

Square root both sides.

sqrt121 = sqrt(s^2)

11 = s

The side length is 11 feet.

The volume of a one i 125(pi) in3. The height i three time the length of the radiu. What i the height of the cone

Answers

The volume of a cone is 125(pi) in3. The height is three time the length of the radius. The height of the cone = 3 × 125π = 375π inches

Given:

Volume of cone = 125π in3

Height = 3 times the radius

To find:

Height of the cone

Height of the cone = 3 × 125π = 375π inches

The given information is the volume of a cone, which is 125π in3, and the height of the cone which is 3 times the radius. To find the height of the cone, we need to multiply the volume by 3. Using the given information, we can calculate the height of the cone by multiplying 125π by 3, which gives us 375π inches as the height of the cone.

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Angles 1 and 7 are what type of angles?
A. Same side interior angles
B. Alternate exterior angles
C. Alternate interior
D. Corresponding angles

Answers

Answer:

B. Alternate exterior angles

Step-by-step explanation:

Alternate exterior angles are pairs of angles on the outer side of the two parallel lines but on the opposite side of the transversal. They also have the same degree. So, the answer is B.

In a group of 42 people, 30 people speak Spanish and 20 people speak French. Who speaks neither of these languages?

Answers

The number of people who speaks neither of these languages is 8.

How many people speaks neither of these languages?

Set theory is a branch of mathematical logic that studies sets, which can be described informally as collections of objects. Although any object can be collected into a set, set theory as a branch of mathematics is primarily concerned with those that are relevant to mathematics as a whole.

Sets are well-defined collections that are entirely defined by their elements. In this case, in the group of 42 people, 30 people speak Spanish and 20 people speak French, those who speak neither of these languages will be:

= 20 + 30 - 42

= 8

Therefore, 8 people neither speaks the languages.

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question 3 how many elements are there in this object called sample means small? 0 / 1 point 0 3 25 100 5,000

Answers

In the given sample mean, there are total 5 elements present.

What is a sample mean?

An average of a group of data is called a sample mean.

A data set's central tendency, standard deviation, and variance can all be determined using the sample mean.

A population average can be determined using the sample mean, among other things.

Both the sample mean and sample median are helpful statistics for outlining a data set's core tendency.

The sample mean uses all of the data values because it is the arithmetic average.

Extreme values have no impact on the sample median, which simply uses one or two middle values.

So, we have the sample mean:

0 | 3 | 25 | 100 | 5,000

Now, in the given sample mean we can count that the number of values or the elements is 5.

Therefore, in the given sample mean, there are total 5 elements present.

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Correct question:

How many elements are there in this object called a sample means small?

Sample mean:

0 | 3 | 25 | 100 | 5,000

Which of the following statement is NOT true?
a. Congruent triangles are triangles with corresponding congruent sides.
b. Two triangles with corresponding congruent angles are congruent.
c. Triangles with corresponding congruent sides and an included angle are congruent.
d. Triangles with corresponding congruent angles and an included side are congruentâ

Answers

B is not true, since only knowing angles on two triangles will not make them congruent. AAA does not make triangles congruent and you will always need a side to make triangle congruent

Don has a box of colored pencils . He uses 53 Pencils and has 118 Left in the box. Write an equation showing How many pencils left in the box before he starts drawing.

Answers

Answer:

He has 171 colored pencils before drawing

53+118 = c

Step-by-step explanation:

To write the equation:

53+118 = c

171=c

Answer:

x = 53 + 118

Step-by-step explanation:

Now we have to,

→ find and write an equation.

Let's assume that,

→ Total pencils = x

Forming the equation,

→ x = Used pencils + Left pencils

Then the equation will be,

→ x = 53 + 118

→ [ x = 171 ]

Hence, total pencils are 171.

Help me I don’t know

Answers

AU is 20 degrees and ∠QPA is 35 degrees and ∠ARU is 40 degrees are the unknown measures.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

 

The incenter of a triangle is the intersection point of all the three interior angle bisectors of the triangle.

In the given triangle A is the incenter for triangle PQR.

By observing figure, AR is angle bisector of angle URK.

So,   ∠ARU = ∠ARK = 40 degree

Since, incenter point is equidistant from the sides of a triangle.

AT = AU = AK = 20

Since, PA is angle bisector of angle QPU.

So,  ∠QPA = ∠UPA

3x + 2 = 4x - 9

Subtract 3x and add 2 on both sides of equation.

4x - 3x = 9 + 2

x = 11

Now plug in x value in ∠QPA=3(11)+2

=33+2=35 degrees.

Hence, Measures ∠ARU is 40 degrees, AU is 20 degrees and ∠QPA is 35 degrees.

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Consider the given density curve. a uniform density curve is at startfraction 1 over 12 endfraction. what is the value of the median? 8 12 14 20

Answers

The median of the probability density curve is (c) 14

How to determine the median of the density curve

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

Initial position = 1/12

Suppose we have a set {x₁, ..., xₙ}

The median is the number at the middle.

The difference between a set and a density curve is that the density curve is continuous, so getting the exact middle value can be harder.

In the given graph, we have

Constant density curve that goes from 8 to 20.

Because it is constant, the median will just be equal to the mean,

So, the median is the average between the two extreme values.

The average of two numbers a and b is calculated as

(a + b)/2

So we have

Median = (a + b)/2

Substitute the known values in the above equation, so, we have the following representation

Median = (20 + 8)/2

Evaluate

Median = 14

Hence, the median is 14

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7. A carpenter has a plank of wood that is 121.92 centimeters
long. The carpenter cuts the plank into 4 equal pieces. About
how long is each piece?
about
centimeters

Answers

The length of each wooden plank will be 30.48 cm

What is the length of each wooden plank?A fraction is a portion of a larger whole. The number is expressed in arithmetic as a quotient, which is the numerator divided by the denominator. Both are integers in a simple fraction. A complex fraction contains a fraction in either the numerator or the denominator. A proper fraction has a numerator that is less than the denominator.There are three kinds of fractions. Proper fractions, improper fractions, and mixed fractions are the three types. Fractions are terms that have a numerator and a denominator.

Here given,

The total length of the wooden plank is 121.92 centimeters.

Also given that ,

A carpenter cuts the plank into 4 equal parts

=> 121.92 / 4

=> 30.48

Therefore the length of each piece will be 30.48 cm

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These five frames show a shape's different positions. Describe how the shape moves to get from its position in each frame to the next.

Answers

The motion of the shape in each frame are:

Frame 1 - Initial position of the shapeFrame 2 - Horizontal Translation towards the rightFrame 3 - 90 degree Rotation about its baseFrame 4 - Vertical Translation downwardsFrame 5 - Reflection of the shape

What is Rigid transformation?

Rigid transformation is a method in which the orientation, size or position of a given object is changed.

Rigid transformation implies either increasing, decreasing or changing the orientation of a given shape. Some types of rigid transformation are: reflection, rotation, translation, and dilation.

i. Reflection is a method in which a given object is flipped about a reference point or line.

ii. Rotation is the process in which a given object is turned about a certain angle in degrees.

iii. Translation involves moving a given object a definite units horizontally or vertically.

iv. Dilation is a process in which the dimensions of a given object is either increased or decreased as required.

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PLS HELP WITH THIS ASSIGNMENT OMG ITS SO HARD FOR ME

Answers

The new coordinates of each of the triangle coordinates are;

1) A'(-12, 6), B'(3, 9), C'(-9, 18)

2) A'(-2, 1), B'(1/2, 3/2), C'(-3/2, 3)

3) X'(-8, 2), Y'(2, 14), Z'(8, 8)

4) X'(-1, 1/4), Y'(1/4, 7/4), Z'(1, 1)

5) A'(-8, 4), B'(2, 6), C'(-6, 12)

6) X'(-4/3, 1/3), Y'(1/3, 7/3), Z'(4/3, 4/3)

7) X'(-20, 5), Y'(5, 35), Z'(20, 20)

8) A'(-1, 1/2), B'(1/4, 3/4), C'(-3/4, 3/2)

How to carry out dilation in transformation?

Dilation is a transformation whereby an image size could increase or even decrease but will retain the same shape as the original one. Therefore, we will simply multiply each coordinate by the scale factor;

The coordinates of both triangles are given as;

Triangle ABC = A(-4, 2), B(1, 3), C(-3, 6)

Triangle XYZ = X(-4, 1), Y(1, 7), Z(4, 4)

1) The dilation transformation of triangle ABC by a scale factor of 3 means we multiply each ABC coordinate by 3 to get;

A'(-12, 6), B'(3, 9), C'(-9, 18)

2) The dilation transformation of triangle ABC by a scale factor of 1/2 means we multiply each ABC coordinate by 1/2 to get;

A'(-2, 1), B'(1/2, 3/2), C'(-3/2, 3)

3) The dilation transformation of triangle XYZ by a scale factor of 2 means we multiply each XYZ coordinate by 2 to get;

X'(-8, 2), Y'(2, 14), Z'(8, 8)

4) The dilation transformation of triangle XYZ by a scale factor of 1/4 means we multiply each XYZ coordinate by 1/4 to get;

X'(-1, 1/4), Y'(1/4, 7/4), Z'(1, 1)

5) The dilation transformation of triangle ABC by a scale factor of 2 means we multiply each ABC coordinate by 2 to get;

A'(-8, 4), B'(2, 6), C'(-6, 12)

6) The dilation transformation of triangle XYZ by a scale factor of 1/3 means we multiply each XYZ coordinate by 1/3 to get;

X'(-4/3, 1/3), Y'(1/3, 7/3), Z'(4/3, 4/3)

7) The dilation transformation of triangle XYZ by a scale factor of 5 means we multiply each XYZ coordinate by 5 to get;

X'(-20, 5), Y'(5, 35), Z'(20, 20)

8) The dilation transformation of triangle ABC by a scale factor of 1/4 means we multiply each ABC coordinate by 1/4 to get;

A'(-1, 1/2), B'(1/4, 3/4), C'(-3/4, 3/2)

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Eve knits scarves for her online store. This week she has already knitted 9 scarves. There are 2 days left in the work week. She set a goal for herself to knit at least 15 scarves and at the most 19 scarves this week. Eve wants to know how many scarves she should knit each day to meet her goal.
Which inequality represents the given situation?
• A. 15 ≤ 2x - 9 _> 19
• B. 15 ≤ 2x - 9 ≤ 19
• C. 15 ≤ 2x + 9 ≤ 19
• D. 15 _>2x+9 _>19

Answers

Answer:  C. 15 ≤ 2x + 9 ≤ 19

Step-by-step explanation:

We know that her goal is to knit at least 12 scarves and, at the most, 19 scarves

So it has to be bigger or equal to 15 and smaller or equal to 19, so it can't be A or D.

We also know that she has already knitted 9, so our equation has to have a +9

So the answer is C. 15 ≤ 2x + 9 ≤ 19

what does your work show about the behavior of the standard deviation of a binomial distribution as the probability of a success gets closer to zero?

Answers

The probability of a success gets closer to zero is 15.

What is behavior of the standard deviation ?

The average squared difference between data points and their mean value is called variance, and it is the variance's square root that is used to calculate standard deviation. The symbol for standard deviation can be seen below.

Both the standard deviation and the variance are indicators of dispersion, but the standard deviation is more explicitly the typical distance between a data point and the mean. The majority of the data will be within one standard deviation of the mean. While the variance is not measured in the same units as the actual data, the standard deviation is

If mean deviation is 12, what is its standard deviation?

Lets look the problem .

Given ,

Mean deviation (MD) =12

Here is the inequality to calculate the standard deviation.

6QD=5MD=4SD ,

Where ,QD stands for the Quartile deviation.

SD stands for the standard deviation.

So,

Standard deviation =(5/4)*MD

=(5/4)*12

=15

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Rewrite the following equation in standard form. y= 10x-9

Answers

The equation y = 10x - 9 is rewritten in standard form as: -10x + y = -9.

What is the Equation of a Line in Standard Form?

A line's equation can be expressed in standard form as Ax + By = C. Here, A, B, and C are integers.

How to Write the Equation of a Line in Standard Form?

We are given the equation of a line as y = 10x - 9, which is expressed in slope-intercept form. We are asked to rewrite the equation in standard form. Follow the steps below:

y = 10x - 9 [given]

Subtract 10x from both sides of the equation:

y - 10x = 10x - 9 - 10x [subtraction property of equality]

y - 10x = -9

Rearrange the equation to fit the standard form:

-10x + y = -9

Therefore, in standard form, the equation, y = 10x - 9 is rewritten as -10x + y = -9.

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Determine the sign of the solution of
ax+b=cx+d in each situation. Justify your
reasoning with a graph.
a. 0 b. d

Answers

Answer:

ax+b=cx+d

Step-by-step explanation:

The foot of the perpendicular drawn from the point (2, 3) to a line is (3, -1). Find
the equation of the line. Also find the equation of the line parallel to the line and
passing through the origin.

Answers

Answer: y=4x-5     y=4x

Step-by-step explanation:

first we find the slope by using

(y2-y1)/(x2-x1)

(-1-3)/(3-2)

-4/1

-4

so we know the slope is -4

y=4x+b

now we can use either point but ill use (2,3)

we substitute to find b

3=4(2)+b

3=8+b

-5=b

so now we know that the y intercept is -5

so put it together

y=4x-5

if it passes through the origin

it would have the y-intercept of 0

so that equation just be

y=4x

and it keeps the same slope

because they are parallel

hope this helped

PLS HELP 100 POINTS

....................................

Answers

Answer: i know how to do it but i can't really see it pls bring it closer

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

SOMEONE PLEASE HELP I HAVE NO CLUE HOW TO DO THIS!!!!!!!!
Each of 36 students at a school play bought either a cup of orange juice or a sandwich. A cup of orange juice costs $1 and a sandwich costs $3. The total amount collected was $76. How many students bought orange juice, and how many bought a sandwich?
Let x represent the number of students who bought a cup of orange juice and y represent the number of students who bought a sandwich. Then the problem can be represented by this system of equations:
x + 3y = 76
x + y = 36
Answer the questions to solve the problem.
1. Explain what you should do with the two equations to eliminate one of the variables.

2. Find the value of y.

3. Find the value of x.

4. Interpret the solution and check the values in the system.

Answers

-1•x+y=36
-x-y=-36

X+3y=76
-4y = -112
Find y
-4 both sides
Y= 28
Plug 28 to x+y=36
X+-28 =36
Add 28 to both sides
X =64 64 students who bought a cup of orange juice and 28 students bought a sandwich.

20
Select the correct answer.
What is this expression in simplified form?
2√2-7√18
O A. 84√2
OB. 18√5
O c. 14sqrt6
O D.
D. 84

Answers

The Question is based on concept of Simplification and answer to this question is -19√2

What is Simplification?

Simplification is the process of making a task, problem, or system easier to understand and manage. It involves breaking down a concept or problem into simpler parts in order to better understand the whole. Simplification can help streamline a process, making it more efficient and easier to complete. It can also help to make complex topics more accessible to a wider audience. Simplification can also be used to make a difficult problem more manageable, allowing for easier solutions.

Here we are given question 2√2 - 7√8 we can do some simplifications like:
but we know we can write √8 = 3√2
hence putting back in original eqn
2√2 - 7(3√2)
2√2 - 21√2
-19√2
Hence required answer is -19√2 by simplification

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Find the square root of each number.
√81
√169

Answers

Answer:

9, 13

Step-by-step explanation:

√81 = √9 x 9 = 9

√169 = √13 x 13 = 13

Find the x- and y-intercepts of the graph of
x + 2y = 28.

Answers

Answer:

(0,14)  This is the y intercept.

(28,0) This is the x intercept.

Step-by-step explanation:

Let x = 0

x + 2y = 28

0 + 2y = 28

2y = 28  Divide both sides by 2

x = 14

(0,14)  This is the y intercept.

Let y = 0

x + 2y = 28

x + 2(0) = 28

x + 28

(28,0) This is the x intercept.

Writing Equations of Lines of Best Fit

Answers

Answer: y=-2x+36

Step-by-step explanation:

slope intercept form

Y=mx+b

m= slope

b= Y-intercept

to find the slope, use the slope formula

y2-y1=x2-x1

(4,28),(11,14)

14-28/11-4

-14/7

-2

Slope is -2

y=-2x+b

Substiute in (11,14) to find b

14=-2(11)+b

14=-22+b

b=36

y=-2x+36

true or false: in a probability model, the sum of the probabilities of all outcomes must equal 1.

Answers

Answer:

Step-by-step explanation:

false that is not at all true

a goat rancher has 25% of her cows aborting and many of the cows have arthrogryposis? what other lesion are you likely to see when you dissect the fetus that would lead to the limb deformities such as these

Answers

Arthrogryposis, also called arthrogryposis multiplex congenita (AMC), is a term used to describe a variety of conditions involving multiple joint contractures (or stiffness).

Arthrogryposis is a general or descriptive term for the development of non progressive contractures affecting one or more areas of the body prior to birth (congenitally). A contracture is a condition in which the joint becomes permanently fixed in a bent (flexed) or straightened (extended) position, completely or partially restricting the movement of the affected joint. When congenital contractures occur only in one body area which means it is not referred to as arthrogryposis but rather as an isolated congenital contracture. The most common form of an isolated congenital contracture is clubfoot. When arthrogryposis affects two or more different areas in the  body, it may be referred to as arthrogryposis multiplex congenita (AMC).

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6. A car takes 5 hours to cover a distance if it is moving with a
speed of 40 km/hr. Find the time taken by the car if it is
movig with a speed of 50 km/hr.

Answers

Answer:

It will take 4 Hours

Step-by-step explanation:

5 x 40 equals 200 (So 200 is the total distance needed to be made)

We can now divde the total distance by how fast the car is moving to get the time.

200 / 50 = 4

So the answer is 4 hours

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It was the third meeting, but the group had finally agreed on the roles for each member. Cathy felt good about how things were progressing. It seemed that the conflicts had been resolved; Bella and Lewis had actually arrived on time with their tasks completed. Cathy felt they were now a team. They were now in the stage. performing adjourning forming norming storming Question 27 2 pts During the stage of team development, close relationships develop as unity and harmony emerge. performing adjouming forming storming norming True or FalseAt Mattel, a marketing information system stores data on regional sales activities, promotional costs, and international inventory levels. These data are examples of external sources.false Select all of the equations for the line that passes through (5, 2) and (0, 18). Multiple select question.A)y+2=4(x5) B)x+4y=12 C)y6=4(x+1) D)y=4x12 E)y=4x+18 F)4x+y=18 what are the functions of simple sugars 2. How should you address direct quotations? Which of the following represents a nonlinear function?y=xy=xy=-2 xy=5 x+7 The following table shows estimates of activity times (weeks) for a project:ActivityOptimistic Most Probable PessimisticTimeTimeTimeA 55.59B135C456D55.59E678F2.533.5G7.58.512.5Suppose that the critical path is A-C-D-E-G. Use Appendix A to answer the questions. Do not round intermediate calculations. Round your answers to three decimal places.What is the probability that the project will be completed within 34 weeks?What is the probability that the project will be completed within 31 weeks?What is the probability that the project will be completed within 36 weeks?What is the probability that the project will be completed in 33 weeks?There is no additional information available. The Appendix A that is referred to is the Z tables. The size of the standard version is 2.8 megabytes (MB). The size of the high-quality version is 4.3 MB. Yesterday, the high-quality version was downloaded four times as often as the standard version. The total size downloaded for the two versions was 4600 MB. How many downloads of the standard version were there? you are measuring a process, and you are given the following information: overall average: 131 population stdev: 5 sample size: 11 determine the upper control limit if your desired confidence interval is 99.73%. enter your answer to one decimal place. it's ok if you get a negative number; in that case, just enter the minus sign in front of it. Is Stevens correct in holding that our privacy interests in our residence, after the issuance of a no-knock warrant, consistent with the privacy interests we retain after the police are in the residence, in the context of a protective sweep? Same question, only consistent with the privacy interests we retain in our personal autonomy in the frisk aspect of a Terry stop? Is there a difference based on the status of the police intrusion? In other words, in the no-knock context, the citizen's interests are defined in the context of immediately prior to, or during the entry into the premises (i.e. the execution of the warrant), while in the protective sweep and the Terry frisk the defendant's privacy interests are already intruded upon. The cost of controlling emissions at a firm rises rapidly as the amount of emissions reduced increases. Here is a possible model:$$C(q)=4,000+100 q^{2}$where $q$ is the reduction in emissions (in pounds of pollutant per day) and $C$ is the daily cost to the firm (in dollars) of this reduction. What level of reduction corresponds to the lowest average cost per pound of pollutant, and what would be the resulting average cost to the nearest dollar? a kidney machine removes solutes from the blood by means of group of answer choices active transport. dialysis. diffusion. osmosis. bulk flow. a 25-kg crate is pushed across a frictionless horizontal floor with a force of 20 n, directed 20o below the horizontal. the acceleration of the crate is: all dna polymerases require a primer with a 3 oh group to begin dna synthesis. the primer is: Anna is seeking a Medicare Supplement Policy. An agent has explained that all supplements must contain some of the same items. Which of the following is false?A) The insurer may provide a Buyer's Guide and an Outline of Coverage.B) The policy must contain an Outline of Coverage.C) A question about replacement must appear on the application.D) The policy must contain a 30-day free look provision on the first page. petition to the massachusetts house of representatives, january 1777 which of the following most likely inspired the excerpt? which system activity reporter function will list cpu, ram, i/o, disk activity, and more, with five outputs displaying the result every two seconds? you were devastated when game of thrones ended and began writing fanfiction to keep the saga alive. what type of relationship might you have with these media characters? 2. show how to make the molecule below from the indicated starting material. include the reagents necessary and any synthetic intermediates. (2 pts) 3. explain the regioselectivity of the nucleophilic attack of the chloronium ion below. compare it to nucleophilic attack of an epoxide. (2 pt) identify and describe one chemical soil test and one physical soil test that could be performed and explain how the results of these tests will allow the cooperative extension service to make specific recommendations for sustainable agriculture.