Identify two equations for the line that passes through (2,-1) and (8,4)

Answers

Answer 1

The equations of the line that passes though points (2,-1) and (8,4) are

y = 2x/3 - 7/3y = 2x/3 - 28/3

How to find the equations of the line

The linear function written in the slope intercept form  form as

y = mx + c

where

m = slope

c = intercept

x = input variables

y = output variables

calculation of slope

The points used for the slope is gotten from the graph as (2,-1) and (8,4)

m = (y₂ - y₁) / (x₂ - x₁)

substituting the values

= (-1 - 4 ) / (2 - 8 )

= -4 / -6

= 2/3

using the point slope formula which is

(2, -1)

(y - y') = m(x - x')

(y - (-1)) = 2/3(x - 2)

y + 1 = 2x/3 - 4/3

y = 2x/3 - 4/3 - 1

y = 2x/3 - 7/3

(8,4)

(y - 4) = 2/3(x - 8)

y - 4 = 2x/3 - 16/3

y = 2x/3 - 16/3 + 4

y = 2x/3 - 28/3

Learn more about linear equation :

https://brainly.com/question/29334541

#SPJ1


Related Questions

I need help please help

Answers

Answer:

4t + 109.99 = 347.95

Step-by-step explanation:

They bought 4 tickets so that is how we got 4t

they spent altogether $109.99 to make the total

347.95

Bonus : 1 ticket is 59.49

Which is the best definition of a boundary line for a linear inequality?
The line that divides the plane into an area that is triangular and an area that is rectangular.
The line that divides the plane into an area with solutions and an area that does not have solutions.
The line that divides the plane into four quadrants.
The line that divides the plane into eight quadrants.

Answers

Answer: The line that divides the plane into an area that is triangular and an area that is rectangular.

Jody has 3 red marbles, 6 blue marbles, and 9 yellow marbles. What is the ratio of red marbles to blue marbles?

Answers

Answer: The ratio of red marbles to blue marbles is 3:6. This can be written as a fraction as 3/6, which simplifies to 1/2.

Step-by-step explanation:

To find the ratio of two quantities, you can divide the number of one type of item by the number of another type of item. In this case, the ratio of red marbles to blue marbles is 3 marbles / 6 marbles, which simplifies to 1/2.

It's important to note that a ratio is not the same thing as a percentage or a fraction. A ratio is a comparison of two quantities, while a percentage is a measure of a quantity relative to the total amount and a fraction is a division of one number by another.

8th grade math problems I need help I will mark brainliest + 50 points

Answers

Step-by-step explanation:

just a question should I help you with all of them?

Graph the image of this figure after a dilation with a scale factor of 1/2 centered at the origin.

Use the polygon tool to graph the dilated figure.

The horizontal axis goes from -10.8 to 10.8 with ticks spaced every 1 unit(s).
The vertical axis goes from -10.8 to 10.8 with ticks spaced every 1 unit(s).
Polygon with coordinates: (-4, 4), (6, 8), (2, 2), (-4, 4).

Answers

The vertices of the dilated triangle are (-2, 2), (3, 4), and (1, 1).

What is dilation?

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.

The coordinates of the triangle are (-4, 4), (6, 8), and (2, 2).

The scale factor of the triangle is 1/2 centered at the origin. Then the coordinate of the triangle will be given as,

⇒ (-4/2, 4/2), (6/2, 8/2), (2/2, 2/2)

⇒ (-2, 2), (3, 4), (1, 1)

The vertices of the dilated triangle are (-2, 2), (3, 4), and (1, 1).

The image of the triangle and dilated triangle is given below.

More about the dilation link is given below.

https://brainly.com/question/2856466

#SPJ1

Answer: The other answer is incorrect, the graph below shows the correct answer.

Coordinates of each point

A: (3,4)

B: (-2,2)

C: (1,1)

I know this is late, but I wanted to help those in the future who needed help with the question. Good Luck <3

Guillermo bought textbook and notebook at the booktore. The number of textbook wa three more than twice the number of notebook. He bought even notebook. How many textbook did he buy ?

Answers

The no: of textbooks Guillermo bought is 7

What are problem sums?

Issue with the internal transfer concept Sum questions involve subtracting from one unknown and adding to another, leaving the original total amount unaffected. It's also referred to as the Constant Total idea.

How do you teach children to problem sums?

Follow The Problem-Solving Process Step by Step.

Review Old Issues; Write Down What Doesn't Work; "3 Before Me"

Ask open-ended questions, promote grappling, place an emphasis on process over product, and use the techniques yourself!

Let the no: of notebooks be 2

The no: of textbooks are : 3+ (2*2)

=7

Hence, the total no: of books are 7

To know more about problem sums click the following link:-

https://brainly.com/question/25734188

#SPJ4

Graph the equation on the coordinate plane
Y=1/2x-3

Answers

Answer:

Step-by-step explanation:

Start at origin 0,0 make a point

go up 1 and over 2 make a point

connect with straight line  

Rose chin deposited $900 in a new savings account. The amount for $1.00 compounded daily the account earns after 12 years at 5.25% interest is 1.878. Calculate the compound interest earned after 12 years.

Answers

The answer to this Question based on Compound Interest is 1690.2$

What is Compound Interest?

Compound interest is a type of interest that is calculated not only on the initial principal but also on the accumulated interest of previous periods. It is the result of reinvesting interest, rather than paying it out, so that interest in the next period is then earned on the principal plus previously accumulated interest. It is the concept of earning interest on interest, which causes the total balance to grow at a faster rate than simple interest. Compound interest is often referred to as the eighth wonder of the world, as it is a powerful financial concept that can yield impressive results over a long period.

Initial money deposited = 900$
1$ turns into 1.878$ after 12 years of Compound Interest
hence by basic manipulation we can do like
900$ turns  into 900 multiplied by 1.878 which comes out to b 1690$
Hence after 12 years final amount will be 1690$

To learn more about Compound Interest:

https://brainly.com/question/14295570

#SPJ1

function rule to find f(7).

Answers

Answer: 196

Step-by-step explanation:

[tex]f(7)=(-7-7)^2 =196[/tex]

If 5 bunnies can eat all the crops in a garden in 8 hours, how long would it take for 8 bunnies to eat the same amount of crops? Please help!

Answers

Answer:

5 hours

Step-by-step explanation:

40=8x

x=5

The number of hours taken for 8 bunnies to eat the same amount of crops will be 5 hours.

What are ratio and proportion?

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

If 5 bunnies can eat all the crops in a garden in 8 hours. The relation between work and time will be inverse. Then the product of the number of bunnies and the number of hours remains constant.

Let 'x' be the number of hours. Then the equation is given as,

8 × x = 5 × 8

Simplify the equation, then we have

8 × x = 5 × 8

8x = 40

x = 40 / 8

x = 5 hours

The number of hours taken for 8 bunnies to eat the same amount of crops will be 5 hours.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ2

Evaluate
9
g
+
2
h
+
5
g
9

+2h+5start fraction, 9, divided by, g, end fraction, plus, 2, h, plus, 5 when
g
=
3
g=3g, equals, 3 and
h
=
6
h=6h, equals, 6.

Answers

The evaluation of the given expression 9/g + 2h + 5 when g = 3 and h = 6 gives the result 20

How to evaluate a given expression?

9/g + 2h + 5

When,

g = 3

h = 6

Substitute the value of g and h into the expression

9/g + 2h + 5

= 9/3 + 2(6) + 5

= 3 + 12 + 5

= 20

Therefore, the expression 9/g + 2h + 5 when evaluated gives the result 20

Complete question:

Evaluate 9/g + 2h + 5 when g = 3 and h = 6

Read more on evaluation:

https://brainly.com/question/23133222

#SPJ1

A daycare center has a weekly revenue of $21,000. The daycare director has created a monthly budget using the following percentages for expenses:


Percent
Employee Wages 42%
Building Rent 10%
Supplies 15%
Equipment 5%
Educational Licensing 2%
Food 10%
Utilities 10%
Maintenance 3%
Emergency/Repair 3%


Which balance sheet correctly represents the daycare's income, expenses, and balance?

Income
Amount
Weekly Income $21,000.00
Total Monthly Income $84,000.00
Expenses
Percent Amount
Employee Wages 42% $35,280.00
Building Rent 10% $8,400.00
Supplies 15% $12,600.00
Equipment 5% $4,200.00
Educational Licensing 2% $1,680.00
Food 10% $8,400.00
Utilities 10% $8,400.00
Maintenance 3% $2,500.00
Emergency/Repair 3% $2,500.00
$84,000.00
Balance
Income $84,000.00
Expenses $84,000.00
Balance $0

Income
Amount
Weekly Income $21,000.00
Total Monthly Income $91,000.00
Expenses
Percent Amount
Employee Wages 42% $38,220.00
Building Rent 10% $9,100.00
Supplies 15% $13,650.00
Equipment 5% $4,550.00
Educational Licensing 2% $1,820.00
Food 10% $9,100.00
Utilities 10% $9,100.00
Maintenance 3% $2,730.00
Emergency/Repair 3% $2,730.00
$91,000.00
Balance
Income $91,000.00
Expenses $91,000.00
Balance $0

Income
Amount
Weekly Income $21,000.00
Total Monthly Income $94,500.00
Expenses
Percent Amount
Employee Wages 42% $36,690.00
Building Rent 10% $9,450.00
Supplies 15% $14,175.00
Equipment 5% $4,725.00
Educational Licensing 2% $1,890.00
Food 10% $9,450.00
Utilities 10% $9,450.00
Maintenance 3% $2,835.00
Emergency/Repair 3% $2,835.00
$94,500.00
Balance
Income $94,500.00
Expenses $94,500.00
Balance $0

Income
Amount
Weekly Income $21,000.00
Total Monthly Income $42,000.00
Expenses
Percent Amount
Employee Wages 42% $17,640.00
Building Rent 10% $4,200.00
Supplies 15% $6,300.00
Equipment 5% $2,100.00
Educational Licensing 2% $840.00
Food 10% $4,200.00
Utilities 10% $4,200.00
Maintenance 3% $1,260.00
Emergency/Repair 3% $1,260.00
$42,000.00
Balance
Income $42,000.00
Expenses $42,000.00
Balance $0

Answers

The balance sheet that correctly represents the daycare's income, expenses, and balance is given as follows:

A) Income

Amount

Weekly Income $21,000.00

Total Monthly Income $84,000.00

Expenses

Percent Amount

Employee Wages 42% $35,280.00

Building Rent 10% $8,400.00

Supplies 15% $12,600.00

Equipment 5% $4,200.00

Educational Licensing 2% $1,680.00

Food 10% $8,400.00

Utilities 10% $8,400.00

Maintenance 3% $2,500.00

Emergency/Repair 3% $2,500.00

$84,000.00

Balance

Income $84,000.00

Expenses $84,000.00

Balance $0

What is balance sheet?

A balance sheet is a financial statement that lists the assets and liabilities of a corporation at a certain point in time. It is one of the three primary financial statements—the other two being the income statement and cash flow statement—that are used to assess a company's performance.

The weekly income is of $21,000, while a month is composed by four weeks, hence the monthly income is of:

=4 x $21,000

= $84,000.

Then the percentages of each expenses are applied to find the values, for example, 42% of that is for employee wages, hence:

= 0.42 x 84,000

= $ 35, 280

From the details we get Employee Wages 42% of $35,280.00

Hence, the balance will be of zero and option A is correct.

Learn more about income and expenses here:

brainly.com/question/29508517

#SPJ1

The formula for explicit sequence ​

Answers

Answer: The formula for explicit sequence is F(n)=6n

n=7

7) =6*7=42

Step-by-step explanation: Hope this was helpful

Find the slope of the line that passes through \left(10,8\right)(10,8) and \left(1,9\right)(1,9).

Answers

-2/3,  is the slope of the line that passes.

What is slope?

A line's steepness and direction are measured by the line's slope.

Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.

Any two different points on a line can be used to calculate the slope of any line.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively.

Two locations located on a straight line can be used to determine a line's slope. We can use the slope of line formula if we know the two spots' coordinates. These two points' coordinates should be-

P1 = (x1, y1) and P2 = (x2, y2)

According to our question-

The slope equation is [y2-y1/x2-x1]. For substitution and solution, use the provided points.

12-8/4-10

4/-6

-2/3

learn more about slope click here:

brainly.com/question/3493733

#SPJ4

just type 2 for the answer

Answers

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

i need help to solve this!!​

Answers

Answer:

Part A: A

Part B: 1 is the y-intercept and is 0 the horizontal asymptote

Step-by-step explanation:

Part A: Answer is A
Part B: y intercept would be y=0 and the Horizontal Asymptote would be y=0.

what is the domain and range of The function f : {4, 6, 8} → {2, 3} is defined as {(4, 2), (6, 2), (8, 2)}.

Answers

The definition of the domain of the function f: {4, 6, 8} ⇒{2, 3} over  {(4, 2), (6, 2), (8, 2)} is given as {4,6,8}, while the range is given as 2.

What is function?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Four main categories can be used to classify different sorts of functions. One to one function, many to one function, onto function, one to one and into function—all based on the element. A relation between a domain and range is called a function when each value in the domain only has one value in the range.

Here,

function f : {4, 6, 8} → {2, 3} is defined as {(4, 2), (6, 2), (8, 2)},

domain={4,6,8}

range={2}

The domain of function f : {4, 6, 8} → {2, 3} is defined as {(4, 2), (6, 2), (8, 2)} will be {4,6,8} and range will be {2}.

To know more about function,

https://brainly.com/question/28278690

#SPJ1

If baeball cot $12 and are marked down by the ame percentage a baeball bat, how much will a baeball cot?

Answers

The percentage markdown only affects the price of the baseball bat, not the price of the baseball. Therefore, the price of a baseball will remain the same at $12.

What is meant by the term percentage?

One technique to express a number as a fraction of 100 is through the use of percentage. It is typically used to denote a percentage or share of a larger whole, and it is frequently written with the sign "%." For instance, a student who obtains an 80 is referred to as having gotten a "80%" or "80%".

Percentages can be used to compare distinct numbers, to assess change over time, or to establish the proportion of a group or population that fits into a specific category. For example, a survey may state that 60% of respondents said "yes" to a certain question, or that the price of a product has grown by 10% in the last year.

How to solve.

If the price of a baseball is marked down by the same percentage as a baseball bat, then the price of a baseball will not change.

The percentage markdown only affects the price of the baseball bat, not the price of the baseball. Therefore, the price of a baseball will remain the same at $12.

To learn more about percentage, visit:

https://brainly.com/question/13450942

#SPJ4

What are the coordinates of the point on the directed line segment from (1, 5) to
(6, 10) that partitions the segment into a ratio of 3 to 2?

Answers

(4,6) are the coordinates of the point on the directed line segment from (1,5) to(6, 10) that partitions the segment into a ratio of 3 to 2.

Define mid point theorem,

According to the midpoint theorem, the line segment drawn from the intersection of two triangle sides is parallel to and equal to half of the third side. To determine precise information about the lengths of triangle sides, one uses the Midpoint Theorem. According to the Midpoint Theorem, the segment connecting two triangle sides at their midpoints is parallel to the third side and is half its length.

Given

Points (1,5) (6.10)

Ratio 3 :2

Using mid point theorem,

( (mx₂+nx₁)/(m+n), (my₂+ny₁)/(m+n) )

3(6) + 2 (1)/ 3+2, 3(10) + 2(5)/ 2+3

18 + 2/5 , 20 + 10/5

20/5 , 30/5

4, 6

(4,6) are the coordinates of the point on the directed line segment from (1,5) to(6, 10) that partitions the segment into a ratio of 3 to 2.

To learn more about mid point theorem, visit:

https://brainly.com/question/19505549

#SPJ1

Dear Everyone, Please solve thid problem

1+1+1-1=

Answers

The answer is 2. Use PEMDAS

Answer:

2

Step-by-step explanation:

Pretty sure u know how to do this but

You have 1 dot and you add another dot which gives you 2 dots. And then you add another dot which gives you 3 dots. And then your mean friend takes away one of yours dots, which gives you 2 dots left.

THE SOULITIONS TO the inequality y>-3x+2 are shaded in the graph. Which point is a solution?
A. (0,2)
B. (2,0)
C. (1,-2)
D.(-2,1)

Answers

Point (2,0) is the solution for the inequality y > -3x +2

What is the solution of inequality?

Here we have,

y > -3x +2

The shaded area above the dotted line is the solution.

We are aware that

If a point is a solution to an inequality, then its coordinates must satisfy the inequality.

We will investigate all cases to find a solution to the problem.

A) Point (0,2)

   Here,

    x = 0

    y = 2

Verify the inequality by changing the values of x and y.

2 > -3 x 0 + 2

2 > 2

It is not correct.

Therefore the point is not to solve the inequality.

B) Point (2,0)

    Here

    x = 2

    y = 0

Verify the inequality by changing the values of x and y.

0 > -3 x 2 + 2

0 > -4

This is correct

Therefore the point is to solve the inequality.

Therefore point B is the solution.

To learn more about inequalities refer to :

brainly.com/question/25275758

#SPJ1

There are 16 triangles and 4 squares. What is the simplest ratio of squares to triangles?

Answers

Answer:

4:1

Step-by-step explanation:

find the gcf: 4

divide by the gcf: 16/4 and 4/4

Hello please solve this with steps

Answers

The dimensions of the rectangular prism are:

Length = 4 meters.

Width = 2 meters.

Height = 2 meters.

What are the dimensions of the storage space?

A rectangular prism of width W, height H, and length L has a volume given by the formula:V = W*H*L

Here we know that: the height and the width are both 2 meters less than the depth, then:W = L - 2H = L - 2 and the volume is 16 cubic meters

Replacing that in the volume equation we will get:16 = L*(L - 2)*(L - 2)It is ratter easy to notice that if we take L = 4, we will get:16 = 4*(4 - 2)*(4 - 2) 16 = 4*(2)*(2)16 = 4*416 = 16 So L = 4 is a solution, then:

W = L - 2W

= 4 - 2 = 2

And also the height is:H = 4 - 2 = 2

These are the dimensions.

Learn more about volume:

https://brainly.com/question/1972490

#SPJ1


Triangle ABC is a right triangle, with right angle B. Side AC has a length of 13. Side AB has a length of 5. Find the length of side CB.

Answers

The magnitude of length BC in the triangle ABC is equivalent to 8.49 units.

What is Pythagoras theorem?

Pythagoras theorem states that -

"In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.

Mathematically, we can write-

[tex]a^2 + b^2 = c^2[/tex]

Given is that ABC is a right triangle, with right angle at B. Side AC has a length of 13 units. Side AB has a length of 5 units.

Using the Pythagoras theorem in the triangle ABC, we get -

AC² = BC² + AB²

BC² = AC² - AB²

BC² = (AC + AB)(AC - AB)

BC² = (13 + 5)(13 - 9)

BC² = 18 x 4

BC² = 72

BC = √(72)

BC = 8.49 units

Therefore, the length of the side BC is equivalent to 8.49 units.

To solve more questions on triangles, visit the link below -

https://brainly.com/question/17202924

#SPJ1

noah have the delivery person $20 to pay for his meal, including a tip. what percentage of the price before tax did he tip the delivery person

Answers

To find the percentage of the price before tax that Noah tipped the delivery person, you need to know the price of his meal before tax and the amount of the tip that he gave. Let's say that the price of Noah's meal before tax was $18, and he gave the delivery person a $2 tip.

In this case, the percentage of the price before tax that Noah tipped the delivery person is $2 / $18 = 11.11%. This means that he tipped the delivery person 11.11% of the price of his meal before tax.

the teacher decides to let your class get in groups of four to complete the homework. if you are like most people, your effort on this group task will be

Answers

The effort required to complete this group task will be less than the effort required to complete the task as individual homework.

In social psychology, social influence is a topic of study. Social compliance, persuasion methods, brainwashing, and social obedience are a few examples of issues studied in this field.

Several phenomena show how having others around affects performance, one of which is social loafing.

When someone works less hard on a task when doing it in a group, this unique phenomena happens.

Your class is divided into groups of four and given the assignment by the teacher. This group assignment will require less effort from you than completing it as individual homework would have required. This exemplifies the social loafing principle.

To know more about social loafing here

https://brainly.com/question/29750055

#SPJ4

help help help help help help help help help help help help help help help help help help help help help help help help​

Answers

Answer:

D

Step-by-step explanation:

It passes through -1 and has a negative gradient

Help with this please

Answers

The first set represents a function but the second case does not represent a function.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The value of 'y' for each value of 'x' must be distinct. Then the relation is a function. Otherwise, it will not be a function.

A)  {(1, 0), (-2, 0)}

In the above relation, for each value of 'x' the value of 'y' is the same. Then the relation is function.

B)  {(-2, 3), (1, 4), (3, 5), (-2, 6), (5, 7)}

In the above relation, at x = -2, the number of values of 'y' is 2. then the relation is not a function

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ1

A line includes the points (-1,-4) and
(-3, 8). What is its equation in slope-
intercept form?

Answers

Answer:y=-6x-10

Step-by-step explanation:

The slope intercept form is y=mx+b

m=slope

b=y intercept

we can find the slope using the slope formula y2-y1/x2-x1

8-(-4)/-3-(-1)

12/-2

m=-6

substitute in the slope, and one of the points so solve for b

y=-6x+b

-4=-6(-1)+b

-4=6+b

b=-10

y=-6x-10

Answer:

y = -6x - 10

Step-by-step explanation:

(-1, -4), (-3, 8)

(x₁, y₁)  (x₂, y₂)

        y₂ - y₁         8 - (-4)          8 + 4         12

m = ------------ = -------------- = ------------ = ------- = -6

        x₂ - x₁          -3 - (-1)         -3 + 1        -2

y - y₁ = m(x - x₁)

y - (-4) = -6(x - (-1))

y + 4 = -6(x + 1)

y + 4 = -6x - 6

   -4            -4

------------------------

y = -6x - 10

I hope this helps!

why does the normal distribution have an importance in statistics of wether or not iut appears in nature

Answers

The normal distribution have an importance in statistics of whether or not out appears in nature, because it fits several natural phenomena.

For exa. measurement error, heights, IQ scores, and physical activity measures all follow the normal distribution.

In this question we need to describe why does the normal distribution have an importance in statistics of whether or not out appears in nature.

We know that if we plot the probability distribution and it forms a bell-shaped curve. If the mean, mode, and median of the sample are equal then the variable has normal distribution.

A normal distribution is dependent on two parameters of the data set: mean and the standard deviation of the sample.

This characteristic of the normal distribution makes it extremely simple.

Also, the normal distribution is important because of the Central limit theorem.

It makes math easy - like calculating moments, correlations between variables, and other calculations that are domain specific.

So, the normal distribution have an importance in statistics of whether or not out appears in nature.

Learn more about the normal distribution here:

https://brainly.com/question/29509087

#SPJ4

Other Questions
Which molecule has polar bonds? *CF4CI2F2H2 Ethan is buying a pair of water skis that are on sale for 2/3 of the original price. The total cost is $115. What was the original price of the skis? Use x as the variable. Some couples in long-term relationships have abandoned _____ rituals, activities that arouse sexual interest in both partners. In double replacement reactions, why will two metals not combine with each other when products are formed?. What led to trouble for Anne Hutchinson in colonial times?O She condemned thecolony's government.O She insisted on taxation of churches.O She persecuted those who disagreed with her religious views.O She founded the Social Gospel Movement.L major, large city newspaper endorsements often carry important weight, especially in down ballot races for local offices. The lawyer who represents the federal government and argues cases before the supreme court is the ________. At the end of the story, the Grinchs heart grows three sizes on Christmas Day. Write another stanza to the song about the Grinch and his BIG heart. What does he do? How does the town react to him? Section 1.2Nitrates are organic compounds that are a main ingredient in fertilizers. When those fertilizers run off into streams, the nitrates can have a toxic effect on fish. An ecologist studying nitrate pollution in two streams measures nitrate concentrations at 42 places on Stony Brook and 42 places on Mill Brook. The parallel dotplots display the data.Which of the following is a correct comparison of the distributions of nitrate concentration in these two streams? What do you think is the consequence of eutrophication? a) a decrease in the amount of oxygen available to aquatic life b) a shift in water temperature c) an increase in the food available for aquatic life d) an increase in the amount of sediments in the ecosystem. define from which of Earth's systems are mineral resources obtained? Which of the following processes must be performed on adult somatic cells in order to induce them to become pluripotent stem cells?A. A retrovirus is used to introduce four master regulatory genes.B. The adult stem cells are fused with embryonic cells.C. The nucleus of an embryonic cell is used to replace the nucleus of an adult cell.D. Cytoplasm from embryonic cells is injected into the adult cells. Evaluate the validity of the title "critical period" for the year of 1783-1812. Be ure to addre Wahington, Adam, Jefferon and Madion Find the point where the line x = t, y = 1 + t, z = 1 t intersects the plane 13x + 11y + 20z = 39 a car starts from rest and goes down a hill with a constant acceleration of 5 m/s2 after 5s the car reaches the bottom of the hill what is the car's final speed a sports analyst claims that the mean batting average for teams in the american league is not equal to the mean batting average for teams in the national league because a pitcher does not bat in the american league. what hypothesis test would be used to test that batting average for teams in the american league is not equal to the batting average in the national league? A project calls for a 50 in. long board to be cut into three pieces. The first piece must be twice the length of the second piece. The third piece is 10 in. shorter than the second piece. How long must each piece be? A student argues that y= x/9 does not represent a proportional relationship between x and y because we need to multiply one variable by the same constant to get the other one and not divide it by a constamt. Do you agree or disagree with this student how does cultural diversity contribute to devolutionary pressures within a country Lava is found on the outside of the volcano true false