what is the rate of change of the function y=7/4x-2

Answers

Answer 1

Answer:

7/4

Step-by-step explanation:

The rate of change is the slope or the change in y over the change in x.

Answer 2
The rate of change it’s equal as ( slope ) when you see the number that’s has the X like in this example

7/4x

That is the rate of change ( Slope )

Related Questions

- Roll a die twice and consider the events A = {first roll gives at
least 4}, B = {second roll gives at most 4} and C = {the sum of the
rolls is 10}.
(a) Find P(A), P(B),P(C), and P(A ∩ B ∩ C).
(b) Are A, B, and C independent?

Answers

Part a: P(A) = 1/2; P(B) =  2/3; P(C) = 1/12; P(A ∩ B ∩ C) = 1/36.

Part b: Part b: A, B, and C independent events.

What is meant by the term sample space?All potential results make up the sample space of the a random experiment. A subset of a sample space is an event connected to a random experiment. Any outcome's probability is a value between 0 and 1. The sum of all the outcomes' probabilities is one.

Rolling a dice twice has 36 possible results, hence the following is the sample space:

S = {(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)}

For the stated question-

A = {first roll gives at least 4}, B = {second roll gives at most 4} and C = {the sum of the rolls is 10}.

Part a:  P(A), P(B),P(C), and P(A ∩ B ∩ C).

P(A) = 18/36 = 1/2

P(B) = 24/36 = 2/3

P(C) = 3/36 = 1/12

P(A ∩ B ∩ C) = 1/36

Part b: A, B, and C independent or not.

For the events to be independent,

P(A ∩ B ∩ C) = P(A).P(B).P(C)

P(A).P(B).P(C) = 1/2*2/3*1/12 = 1/36

As, P(A ∩ B ∩ C) = P(A).P(B).P(C).

Thus, the events are independent.

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Tristan has $1.40 worth of nickels and dimes. He has twice as many nickels as dimes. Write a system of equations that could be used to determine the number of nickels and the number of dimes that Tristan has. Define the variables that you use to write the system.

Answers

The system of equations that Tristan needs to solve is:

x*0.05 + y*0.10 = 1.40

x = 2*y

How to write the system of equations?

Let's define the variables:

x = number of nickels.

y = number of dimes.

Knowing that the net is $1.40 and that he has twice as many nickels as dimes, we can write:

x*0.05 + y*0.10 = 1.40

x = 2*y

That is our system of equations that Tristan can use to find the numbers of nickels and dimes.

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Look at HIJ. Which of the triangles below can be proven similar to HIJ based only on the given information? Select all that apply.

Answers

The tringles ΔKLM, ΔXYZ, and ΔUVW are similar to the ΔHIJ.

What is the similarity of the triangles?

When it comes to Euclidean geometry, two things are said to be comparable if they have the same shape or the same shape as each other's mirror image. One can be created from the other more precisely by evenly scaling, possibly with the inclusion of further translation, rotation, and reflection.

We have,

In ΔHIJ

∠HIJ = 64°

∠JHI = 96°

and the side are

HI = 2 unit

IJ = 5.5 unit

HJ = 5 unit

So, the third angle will according to the sum of the angles of a triangle:

∠IJH = 20°

the triangles similar to ΔHIJ are:

A) It is similar to ΔHIJ cause,

∠HIJ ≅ ∠KLM

∠IJH ≅ ∠LMK

so, the third also will be equal:

∠JHI ≅ ∠LKM

D) It is similar to ΔHIJ cause,

∠IJH ≅ ∠XZY

HI/YX = 2/4 = 1/2

HJ/YZ = 5/10 = 1/2

C) It is similar to ΔHIJ cause,

HI/UV = 2/4 = 1/2

HJ/UW = 5/10 = 1/2

IJ/VW = 5.5/11 = 1/2

Hence, the tringles ΔKLM, ΔXYZ, and ΔUVW are similar to the ΔHIJ.

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Geometry Support 4. Given: 6x-4 = 3x + 8. Prove: x = 4​

Answers

Answer:

6(4)-4=3(4)+8

24-4=12+8

20=20

Step-by-step explanation:

To prove x=4, substitute four into the equation

6(4)-4=3(4)+8

24-4=12+8

20=20

Therefore x=4 is proved

Answer:

(Answer in Image)

Step-by-step explanation:

6x-4=3x+8

6x-4-3x=3x+8-3x                    subtract -3x on both sides

3x-4=8                                    

3x-4+4=8+4                               add four on both sides

3x=12                                      simplify

3/3x=12/3                                       divide both sides by 3

x=4

Find the perimeter of the following polygon. Be sure to include the correct unit in your answer.
7m
16 m
9cm
15 m

Answers

The perimeter of the polygon is 57 meters.

What is polygon?

A polygon is an enclosed two-dimensional shape with three or more straight sides that are connected together. It can be regular or irregular and can be made up of triangles, squares, rectangles, and other shapes. Polygons are classified by the number of sides they have, such as triangles (3 sides), quadrilaterals (4 sides), pentagons (5 sides), and hexagons (6 sides). Polygons can also be classified by their internal angles, such as acute (less than 90 degrees), right (90 degrees), obtuse (greater than 90 degrees), and reflex (greater than 180 degrees). Polygons are used in many mathematical problems and can be used to represent a variety of real-world objects, such as buildings, mountains, and stars.

The perimeter of the polygon is 57 meters.

The perimeter is calculated by adding up the lengths of each side. 7m + 16m + 9cm + 15m = 57m.

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t a student government fundraiser, a notebook costs $7 and a t-shirt costs $12. If the total received for 60 items was $540, how many notebooks were sold?

Answers

The number of notebook is 36.

How to illustrate the equation?

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Let the notebook be n.

Let the t shirt be t.

The equation will be:

n + t = 60 ..... i

7n + 12t = 540 ..... ii

From I n = 60 - t ..... iii

Put equation III into ii

7n + + 12t = 540 .

7(60 - t) + 12t = 540

420 - 7t + 12t = 540

5t = 540 - 420

5t = 120

Divide

t = 120 / 5

t = 24

Notebook will be:

= 60 - 24

= 36

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5. My sister and I wanted to go to the circus. A ticket was 10% less on a Tuesday than it was on a Saturday. We paid $27 each to attend Tuesday's show. What would our total cost have been had we attended the circus on Saturday?​

Answers

Hello,

I hope you and your family are doing well!

If a ticket to the circus was 10% less on a Tuesday than it was on a Saturday, then it was 90% of the Saturday ticket price. If you paid $27 each to attend Tuesday's show, then the Saturday ticket price was $27 / 0.9 = $30.

Since you bought two tickets, the total cost of attending the circus on Saturday would have been 2 * $30 =60

Therefore, your total cost would have been $60 had you attended the circus on Saturday.

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Happy Holidays and New Year!

4.4 times 2.727 the answer with explanation

Answers

Answer:

11.9988

Step-by-step explanation:

Use a calculator.

Using the matrix solve the following simultaneous equations
2x+5y=18
x-3y=-2

Answers

2x+5y=18 equ(1)

x-3y=-2 equ(2)

from equ (2) make x the subject of the formula

x=-2+3y

substitute x=2+3y in equ (1)

2+(-2+3y)+5y=18

-4+6y+5y=18

6y+5y=18+4

11y/11=22/11

y=2

substitute y=2 in equ(2)

x+3(2)=-2

x-6=-2

x=-2+6

x=4

x=4 and y=2

If $300 is invested at an interest rate of 2.5% per year, find the amount of the investment at the end of 10 years for the
following compounding methods. (Round your answers to the nearest cent.)
(a) Annually
$
(b) Semiannually
$
(c) Quarterly
$
(d) Continuously

Answers

Annually because it’s nearest cent is 0 dollars

A graph is shown

For which line does y decrease as x increases

A.line 1
B.line 2
C.line 3
D.line 4

Answers

Answer:

Line 2

Step-by-step explanation:

This would represent a negative slope.  A negative slope goes down if you start on the left side and go down.

Find tanθ + sinθ for the angle θ shown in the right triangle?

Answers

12.6

Step-by-step explanation:

We need to find the hypotenuse

hyp² = opp² + adj²

hyp²= 2² + 3²

hyp²= 4 + 9

hyp²= 13

hyp=√13

hyp=3.6

sinθ=opp/hyp

sinθ=2/3.6

sinθ=5.6

cosθ=adj/hyp

cosθ=3/3.6

cosθ= 0.8

tan θ=sinθ/cosθ

tanθ= 5.6/0.8

tanθ=7

tan θ+sinθ

=7+5.6

=12.6

Round to the nearest degree

Answers

The measure of angle A of the triangle is 50°.

How to find angles of the triangle?

Eight angles are created when a transversal intersects two parallel lines. The pair of non-adjacent interior angles that are on the same side of the transversal are known as the same side internal angles.Two angles that are inside (between) the two lines, more especially on the same side of the transversal, are referred to as same side inside angles.

Similar side interior angles therefore:

have unique vertices or no shared verticesstraddle two lineswas developed on the same transverse side of theCo-interior angles are another name for "same side interior angles."

So, ∠C = ∠A

∠A = 50°

Hence, the measure of angle A of the triangle is 50°.

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help meeeeeeeeeee pleaseee

Answers

The number of acres owned for which the average intake is 2200 calories per day is 2 acres obtained by the algebraic expression that relates the acres of land and the calories per day.

What is an algebraic expression?An algebraic expression is formed by variables, constants, and arithmetic operations.An algebraic expression provides the relation between the input and output variables i.e., x and f(x) respectively.Calculation:

It is given that, the number of calories consumed daily by a person owing x acres of land is given by the algebraic expression,

C(x) = 270 ln(x+1) + 1900

The average intake of calories consumed per day is given by C(x) = 2200

Here x is the number of acres of land. Then, the required number of acres of land is

C(x) = 270 ln(x+1) + 1900

⇒ 2200 = 270 ln(x+1) + 1900

⇒ 270 ln(x+1) = 2200 - 1900

⇒ 270 ln(x+1) = 300

⇒ ln(x+1) = 300/270 = 10/9

Applying base 'e' on both sides, we get

⇒ (x+1) = [tex]e^\frac{10}{9}[/tex]

⇒ x+1 = 3.0377

⇒ x = 3.0377 - 1 = 2.0377

When rounding the final answer to the nearest tenths, we get x = 2 acres.

When rounding the final answer to the nearest thousand, we get x = 2.038 acres.

Thus, for an average intake of 2200 calories per day, the number of acres of land owned is approximately 2 acres.

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I need help please!!

Answers

Answer:

it is 3/5

Step-by-step explanation:

cos is the adjuacent devided by hypotenuse so it is 27/45 and that is 3/5

(2) Solve the system of linear equations by elimination. CH
8x - 5y = 11
4x
3y = 5

Answers

By solving the system of linear equations by elimination we get the value of x= 2 and y = 1.

What is the system of linear equations?

A grouping of one or more linear equation containing the same variables is known as a system of linear equations.

Here, we have

Given:  8x - 5y = 11....(1), 4x - 3y = 5...(2)

We solve equation(2) and find the value of x

4x = 5+ 3y

x = 5/4 + 3y/4

Now, we put the value of x in equation (1) and we get

8(5/4 + 3y/4) - 5y = 11

5×2 + 2×3y - 5y = 11

10 + y = 11

y = 1

Now, we put the value of y in equation(2) and we get

4x = 5+ 3(1)

4x = 8

x = 2

Hence, by solving the system of linear equations by elimination we get the value of x= 2 and y = 1.

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The functions f(x) = x2 – 2 and g(x) = –x2 + 5 are shown on the graph.


Explain how to modify the graphs of f(x) and g(x) to graph the solution set to the following system of inequalities. How can the solution set be identified?

y > x2 – 2
y ≥ –x2 + 5

Answers

Change the equations to inequalities  to modify the graph and the solutions are (-1.871, 1.5) and (1.871, 1.5)

How to modify the graphs

The graph is the given parameter

From the graph, we have the following equations

f(x) = x² - 2

g(x) = -x² + 5

To modify the graph, we simply change the equations to inequalities

How to identify the solution set

After the modifications in (a), we have:

f(x) >  x² - 2

g(x) ≥  -x² + 5

From the graph of the inequalities, the curves of the inequalities intersect at (-1.871, 1.5) and (1.871, 1.5)

Hence, the solutions are (-1.871, 1.5) and (1.871, 1.5)

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It takes Martin 1 hour to drive 65 miles, 2 hours to drive 130 miles and 3 hours to drive 195 miles. Is this a proportional relationship? Define variables and write an equation to represent the relationship.

Answers

Yes, it is a proportional relationship. The relationship is distance (d) is directly proportional to time(t). The equation of the relationship is d= 65t

What is direct variation?

Direct Variation is said to be the relationship between two variables in which one is a constant multiple of the other. For example, when one variable changes the other, then they are said to be in proportion. If d( distance) is directly proportional to t( time) the equation is of the form d= kt (where k is a constant).

When d =65miles and t= 1hour, k =d/t

k= 65/1= 65

for other values of d and t, k = 65

Therefore the relationship between the distance and time is a proportional relationship. And the equation of the relationship is d= 65t

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Quel est le plus grand nombre que l' on puisse obtenir avec les chiffres 2,3 et 5?

Answers

euh je pense que la réponse serait 11.5 mais je ne sais pas vraiment. Essayez 11.5 cependant. J'espère que cela vous aide! :))

find the total surface area of this triangular prism

Answers

The total surface area of this triangular prism = 976

What is surface area?

Surface area is the amount of space covering the outside of a three-dimensional shape.

A triangle would be divided in half, but since there are two, the ratio would remain the same.

 14 x 24 = 336

 10 x 25 = 250[ because there are two of them, multiply by 2.]

 10 x 14 = 140

The total surface area of this triangular prism = 336 + 250 + 140

                                                                            = 976

Therefore, the total surface area of this triangular prism = 976

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Which lines are perpendicular to 3x – y = 10? Select all that apply.
A. y = 3x + 5
B. y = –13x + 17
C. x + 3y = 27
D. y – 2 = 13(3x + 36)

Answers

C. x + 3y = 27 lines are perpendicular to 3x – y = 10

What is the lines?

A line has length but no breadth, making it a one-dimensional figure. A line is made up of a collection of points that may be stretched indefinitely in opposing directions. In a two-dimensional plane, it is specified by two points. The term "collinear points" refers to two points that are on the same line.

As we know,

When two lines are perpendicular then the product of their slope is -1.

The slope is given by: y = mx+c

where, m is the slope.

Thus, the given equation:

3x – y = 10

y = 3x - 10

Comparing this equation with y = mx+c, we get

m₁ = 3

So, the slope of the given equation (m₁) = 3

Now find slope of others lines:

A) y = 3x + 5, Comparing this equation with y = mx+c, we get -

m₂ = 3

When two lines are perpendicular then the product of their slope is -1.

Here, product of the slope is:

= m₁ × m₂

= 3×3 (putting the values we get)

= 9 ≠ -1

So, this line is not perpendicular to given line.

B) y = –13x + 17, Comparing this equation with y = mx+c, we get -

m₃ = -13

When two lines are perpendicular then the product of their slope is -1.

Here, product of the slope is:

= m₁ × m₃

= 3× (-13) (putting the values we get)

= -39 ≠ -1

So, this line is not perpendicular to given line.

C) x + 3y = 27

3y = 27 - x

y = 9 - x/3, Comparing this equation with y = mx+c, we get -

m₄ = -1/3

When two lines are perpendicular then the product of their slope is -1.

Here, product of the slope is:

= m₁ × m₄

= 3× (-1/3) (putting the values we get)

= - 1

So, this line is perpendicular to given line.

D) y – 2 = 13(3x + 36)

y = 39x +470, Comparing this equation with y = mx+c, we get -

So, m₅ = 39

When two lines are perpendicular then the product of their slope is -1.

Here, product of the slope is:

= m₁ × m₅

= 3× (39) (putting the values we get)

= 117 ≠ -1

So, this line is not perpendicular to given line.

Therefore, option C is correct.

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Graph the inequality on the axes below.
-x + 2y > 4

Answers

Answer:

Check out the image shown above/below

Which compound inequality has no solution? x ≤ –2 and 2x ≥ 6 x ≤ –1 and 5x ≤ 5 x ≤ –1 and 3x ≥ –3 x ≤ –2 and 4x ≤ –8

Answers

The correct inequality which has no solution will be;

⇒ x ≤ –2 and 2x ≥ 6

⇒ x ≤ –1 and 5x ≤ 5

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

There are some inequality is shown.

Now,

Find the inequality which has no solution as;

a) x ≤ –2 and 2x ≥ 6

⇒ x ≤ - 2

⇒ 2x ≥ 6 = x ≥ 6/2 = x ≥ 3

We get;

⇒ x ≤ - 2 and x ≥ 3

Which is not possible.

Hence, it has no solution.

b) x ≤ –1 and 5x ≤ 5

⇒ x ≤ - 1

⇒ 5x ≤ 5 = x ≤ 1

We get;

⇒ x ≤ - 1 and x ≤ 1

Which is not possible.

Hence, it has no solution.

c) x ≤ –1 and 3x ≥ –3

⇒ x ≤ - 1

⇒ 3x ≥ - 3 = x ≥ - 1

We get;

⇒ x ≤ - 1 and x ≥ - 1 ⇒ x = - 1

Thus, It has solution.

d)  x ≤ –2 and 4x ≤ –8

⇒  x ≤ –2 and

⇒ 4x ≤ - 8 = x ≤ - 2

Thus, It has solution.

Therefore, The correct inequality which has no solution will be;

⇒ x ≤ –2 and 2x ≥ 6

⇒ x ≤ –1 and 5x ≤ 5

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Graph the line with y-intercept -5 and slope -1/3
can you mark the points on the graph pleases

Answers

Answer:

(0,-5) , (3, -6) , (6, -7) ,(9, -8)

Step-by-step explanation:

I apologize for being unable to graph, but here are some of the points.

(0,-5) <-- The "y intercept"

slope is y2-y1/x2-x1, so "-1" is added to the "y" of the coordinate, and 3 is added to the "x"

(3,-6)

(6,-7)

(9,-8)

Hope this helps :)

Solve for all values of x by factoring x2-53=-4

Answers

The values of x in the given equation, x² - 5x = -4, are x = 4 and x = 1

Solving Quadratic equations: Determining the values of x

From the question, we are to solve the given equation by factoring

The given equation is

x² - 5x = -4

To solve the equation by factoring, transfer the constant to the other side of the equation

x² - 5x + 4 = 0

Factorize the left hand side expression

x² -x -4x + 4 = 0

x(x - 1) -4(x -1) = 0

(x - 4)(x - 1) = 0

x - 4 = 0 OR x - 1 = 0

x = 4 OR x = 1

Hence, the values of x are 4 and 1

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Ann made $35.000 in taxable income last year. Suppose the income tax rate is 10% for the first $8000 plus 16% for the amount over $8000. How much must Ann pay in income tax for last year?

Answers

Answer:

Ann must pay $800 in income tax for the first $8,000 of her taxable income because 8000 * .1 = 800

Ann must pay $4,600 in income tax for the amount of her taxable income over $8,000 because (35000 - 8000) * .16 = 4600

Therefore, Ann must pay a total of $800 + $4,600 = $<<800+4600=5400>>5,400 in income tax for last year.

Answer:

$5,120 in taxes, total

Step-by-step explanation:

Ann made $35,000 in taxable income last year. Suppose the income tax rate is 10% for the first $8,000 plus 16% for the amount over $8,000. How much must Ann pay in income tax for last year?

8,000 * 10% = 800 in taxes for first $8,000

remaining: 35,000 - 8,000 = $27,000 to be taxed at 16%

27,000 * 16% = $4,320

$800 + $4,320 = $5,120 in taxes, total

Look at this graph:

What is the slope?

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

4/3

Step-by-step explanation:

you use the slope formula y^1 - y^2 over x^1 over x^2, substitute the said values and are left with the slope of 4/3 in its improper form.

Hope this helps!!! :3

You are playing a game that involves tossing a single die. If you roll a one, you win $50. If you roll a 2, you win $25. If you roll anything else, you lose $15. What are you expected winnings?

Answers

Step-by-step explanation:

chances of rolling 1= 1/6

chances of rolling 2=1/6

chances of rolling anything else=2/3

Hurry please I will give brainly need this in about 15 mins help me help meee

Answers

Answer:

x = -2

Step-by-step explanation:

The first thing we can notice about this figure is that the two small outer triangles are congruent because of the given side congruence markings as well as the fact that the large triangle ABC is isosceles, thus angle A is congruent to angle C.

Using the above information, we can construct the equation:

3x + 2 = 2x

and solve it for x.

x = -2

The equation we constructed simply equates the corresponding sides of the two small outer triangles, as they are congruent by the CPCTC theorem.

1. The population of a town was 7420 in 2010. The population grows at a rate of 2.3% annually. (a) Use the exponential growth model to write an equation that estimates the population t years after 2010. (b) Estimate the population of the town in 2022. Show your work.​

Answers

Hello,

I hope you and your family are doing well!

(a) The exponential growth model is given by the equation P(t) = P0 * r^t, where P(t) is the population t years after 2010, P0 is the population in 2010 (7420), and r is the annual growth rate (2.3%).

Substituting the given values into the equation gives us:

P(t) = 7420 * 1.023^t

This is the equation that estimates the population t years after 2010.

(b) To estimate the population of the town in 2022, we can substitute t = 12 into the equation:

P(12) = 7420 * 1.023^12

Calculating this gives us:

P(12) = 7420 * 1.023^12 = 7420 * 1.291891 = 9593.45

So the estimated population of the town in 2022 is approximately 9593

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The product of two consecutive numbers is 3306. What are the numbers? Cynthia is a real estate agent. In one of her properties, a large squareroom has an area of 405 square feet. To find the length of one side ofthe room, Cynthia writes V405 feet. Simplify this expression, using thefirst rule of radicals. Determine the value for x in the equation x over 6 and 4 tenths equals 3 and 6 tenths. 23.04 19.2 a company has a beta of 3.25. if the market return is expected to be 14 percent and the risk-free rate is 5.5 percent, what is the company's required return? Help Alicia describe what she does each morning as part of her daily routine by filling in the missing reflexive verbs. Me _________________________ a las ocho. Pero siempre quiero dormir ms! Me _________________________ de la cama. Me _________________________ los dientes. Me _________________________. No paso mucho tiempo en la ducha. Me _________________________ el pelo con el secador. Luego me _________________________ el pelo con el gel. Me _________________________. Quiero llevar una blusa y falda hoy. Me _________________________ agua de colonia. Writing Workshop: An Argumentative Essay about Economic SystemsDiscuss the benefits and problems of capitalism and socialism, and evaluate which system provides the greater overall benefit to society. Write an essay ANWSER ASAP 100 POINTS A block is pushed across a 10 m rough surface quickly by a boy. Which of thefollowing would not increase the power needed by the boy to move the block?A)Decrease the time of the block slidB)Increase the mass of the blockC)Increase the time of the block was slidD)Increase the roughness of the surface HELP PLEASE!! ASAP!! Explain the benefits of renewable energy sources, and describe one way in which Oklahoma is pursuing "green"energy. Look at picture !!!! Slope= Y-intercept=Equation= Which represents the greatest time frame in which a short term environmental change can occurIn day In minutes Over hundreds of years Over thousands of years Which text structure is used in this passage?Cause/effectcompare/contrastdescriptionsequence adrenal glands produce a variety of hormones influencing sodium retention, glucose metabolism, estrogen production, and sympathetic nervous activity. responses An ordinary regression (or ANOVA) model that treats the response Y as normally distributed is a special case of a GLM, with normal random component and identity link function. True/False David catches 75 camels, tags them, and releases them. A few weeks later, a helicopter pilot takes an aerial photograph of 310 camels, 25 of which are tagged. To the nearest whole number, what is the best estimate for the camel population? question content area the statement of cash flows is not one of the basic financial statements. true false (1 point) how many different ways can a race with 6 runners be completed? (assume there is no tie.) your answer is : 36 if there are five people in a car and 1 person is the driver, how many unique seating arrangements are there Describe Mansa Musas traveling caravan.THE RIGHT ANSWER GET 20 POINTS AND BRAINLIEST In the above diagram, the correct multiplicities designated with the number 1 is which of the following? 0,11,10,*1,**,* Which of the following court cases was significant in the development of multicultural and multilingual education?