Can you help me with this

Can You Help Me With This

Answers

Answer 1

Answer:

[tex]\dfrac{\boxed{2}}{\boxed{3}} \times \dfrac{\boxed{1}}{\boxed{2}} = \dfrac{\boxed{1}}{\boxed{3}}[/tex]

Step-by-step explanation:

The square is 1 unit long and 1 unit wide
There are 3 smaller rectangles in the horizontal direction

Length of each rectangle is therefore 1/3 unit

There are 6 rectangles along the vertical direction

The height of each rectangle is therefore 1/6 unit

The shaded area is 2 rectangles wide and 3 rectangles in height

Width of shaded area = 2 x 1/3 = 2/3

Height of shaded region = 3 x 1/6 = 1/2

Area of shaded rectangle is

[tex]\dfrac{\boxed{2}}{\boxed{3}} \times \dfrac{\boxed{1}}{\boxed{2}} = \dfrac{\boxed{1}}{\boxed{3}}[/tex]


Related Questions

50 Points! Multiple choice algebra question. Write the expression x^4+5x^2-8 in quadratic form, if possible. Photo attached. Thank you!

Answers

Answer:

A!!!!!!!!!!!!!!!!!!!!!!!!!

Please reply me as soon as possible with step by step answer for this

Answers

The length of the curve y = 5 - 4x, -2 ≤ x ≤ 2, is 4√(17).

What is the length of the curve?

To use the arc length formula, we need to find the derivative of the curve y = 5 - 4x:

y' = -4

Then, we can use the arc length formula:

L = ∫[a,b] √(1 + (y')^2) dx

where a and b are the limits of integration. In this case, a = -2 and b = 2.

L = ∫[-2,2] √(1 + (-4)^2) dx

= ∫[-2,2] √(17) dx

= √(17) * [x]_(-2)^(2)

= 4√(17)

So the length of the curve y = 5 - 4x, -2 ≤ x ≤ 2, is 4√(17).

To check this answer, we can note that the curve is a line segment with endpoints (-2, 13) and (0.75, 1), and we can calculate its length using the distance formula:

L = √((0.75 - (-2))^2 + (1 - 13)^2)

L = √(18.25 + 144)

L = √(162.25)

L = 4√(17)

This matches our previous answer, so we can be confident that the length of the curve is 4√(17).

Learn more about the length of a curve at: https://brainly.com/question/29364263

#SPJ1

help with this word problem

Answers

The height of the school building is approximately 4.38 meters (rounded to the nearest hundredth).

How to calculate the height

JX / BX = JM / BT

Substituting the known values, we get:

(d1 + d2) / h = d1 / (h - 1.75)

(d1 + d2) * (h - 1.75) = d1 * h

d1 * h + d2 * h - 1.75 * d1 - 1.75 * d2 = d1 * h

d2 * h - 1.75 * d1 - 1.75 * d2 = 0

h = (1.75 * d1 + 1.75 * d2) / d2

h = (1.75 * 8.75) / 3.5

h = 4.375

The height of the school building is approximately 4.38 meters

Leans more about height on

https://brainly.com/question/1739912

#SPJ1

I’m not sure how to do the graph and it’s not letting me advance :(
Y=85.468x+ 985.029
R=0.988

Answers

To plot the above linear regression on a graph, follow the procedures outlined below.

What are your options?

You may use the following steps to plot the supplied data on a graph:

1) Create an x- and y-axis coordinate plane.

2) Label the x-axis with the numbers 1 through 13 (to represent the 13 data points).

3) Label the y-axis with a suitable scale that encompasses the data's greatest and lowest values (e.g., 0 to 2200 with 200 increments).

4) For each point, try to find  the associated x -value on the x-axis and the corresponding y-value on the y- axis, and then place a point at the intersection of the two values.


For example, if the first point is (1, 1000), you would identify the x-axis point labeled "1" and the y-axis point labeled "1000" and add a point at it  intersection.

5) based  on the pattern in the data, connect the points of the coordinares using  a line or a curve. Because the data appears to increase gradually with some fluctuations in this case, a line connecting the points would be appropriate.

After plotting the data on the graph, you may study the pattern and draw inferences about the data's trend over time. Please see the attached sample graph.

Learn more about linear regression:
https://brainly.com/question/29665935
#SPJ1

Which of the following vectors represents u + v?

Answers

The vector u+v can be represented as < √85, -41.19° >, which is obtained by adding vector u marked on the y-axis from 0 to 6 and vector v marked on the x-axis from 0 to -7 on a coordinate plane.

To add vectors on the coordinate plane. The vector u is marked on the y-axis from 0 to 6, and the vector v is marked on the x-axis from 0 to -7.

To add them, we start at the tail of u and move horizontally to the left by 7 units (since v has a negative x-component) and then vertically up by 6 units (since u has a positive y-component) to reach the head of the resulting vector. This gives us the vector u+v.

So, the vector u+v can be represented as

Magnitude √(6^2 + 7^2) = √85

Direction atan(6/(-7)) = -41.19 degrees (measured counterclockwise from the positive x-axis)

Notation < √85, -41.19° >

To know more about vector:

https://brainly.com/question/29740341

#SPJ1

solve for x image attached please help x, 3 ,7 set up the proportion x/3=?

Answers

The proportion relation obtained from the similar triangles indicates that the x/3 = 10/x

What are similar triangles?

Similar triangles are triangles that have the same shape but their sizes may vary.

The proportion equation from the image based on the ratio of the corresponding sides of the similar right triangles can be found as follows;

The side x is the hypotenuse side of the smallest right triangle

The ratio x/3, is equivalent to the ratio of the hypotenuse side to the shortest side of the right triangle

The corresponding ratio in the medium triangle is ((x² - 3²) + 7²)/(x² - 3²)

((x² - 3²) + 7²)/(x² - 3²) = (x² + 40)/(x² - 3²)

The corresponding ratio in the large similar right triangle is (7 + 4)/x = 10/x

Therefore, the corresponding ratio is; x/3 = 10/x

The proportion is; x/3 = 10/x

Learn more on similar triangles here: https://brainly.com/question/30850803

#SPJ1

Please answer correctly and explain reasoning for brainliest (If correct) and thanks!
What are the coordinates of A’?

Answers

Check the picture below.

What are some common order of operation mistakes that students make when evaluating expressions? Make a list and share two examples in the Discussion Board; then explore the lists your peers have posted and respond to one that you find particularly insightful.

Answers

Some of the common order of operation mistakes that students make when evaluating expressions are the use of basic mathematical operations.

What is a mistake?

You should know that an error or fault results from defective judgment, deficient knowledge, or carelessness.

A combination of numbers, letters, and relational operators containing at least one operation is deemed a mathematical expression. Additionally, it must also include variables and/or numbers, excluding an equal sign.

Some prevalent errors include using both a positive and a negative sign, using two negative signs, and misusing brackets.

By being unable to comprehend the problems accurately, learners often commit significant errors while assessing formulations, which underscores the importance of employing fundamental mathematical operations.

Learn more about the use of mathematical operations on https://brainly.com/question/29751180

#SPJ1

if the area of the triangle is 8 15/16ths and the base is 5 1/2, what is the height

Answers

Answer:

h=.34

Step-by-step explanation:

1/2(bh)=A

1/2(5.5*h)=8.9375

5.5h=1.875

h=.34

the line is parellel to graph of 2x-3y=7 and contains the point (-3,-3)

Answers

The equation of the line parallel to the graph of 2x - 3y = 7 and containing the point (-3,-3) is y = (2/3)x - 1.

What is the equation of the parallel line?

The formula for equation of line is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given the equation of the graph: 2x - 3y = 7.

First, we need to rearrange the given equation into slope-intercept form (y = mx + b) by solving for y:

2x - 3y = 7

-3y = -2x + 7

y = (2/3)x - 7/3

The slope of the given line is 2/3.

Hence, any line parallel to it will also have a slope of 2/3.

Using the point-slope form, we determine the equation of the line that passes through (-3,-3) and has a slope of 2/3:

y - y1 = m(x - x1)

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

y + 3 = (2/3)x + 2

y = (2/3)x - 1

Therefore, the equation of the line is y = (2/3)x - 1.

Learn more about  equation of line here: brainly.com/question/2564656

#SPJ1

Adam works as an account manager for a local insurance company. He makes $3500 per month, after taxes. He sticks to a strict monthly budget to make sure that he is able to pay for all of his expenses each month. Look at the list below of the items Adam must budget for each month. He gives a specific percentage of his income to each item. Use his monthly income and the percentage of each item to determine how much Adam will need to budget for each expense. 30% for rent/mortgage $ 15% for Insurances $ 12% for food $ 8% for utilities $ 10% for savings $ 5% for fun $ 7% for clothing $ 3% for personal items $ 10% charitable giving $ How much money will Adam have left over after budgeting for each item on the list? $

Answers

Answer:

  see below

Step-by-step explanation:

Given a $3500 net income per month and a list of budget percentages, you want to know the budget amounts for each item, and the amount left over.

Amounts

Each budget amount is the product of the net income and the associated budget percentage. Those products are ...

rent: $1050insurance: $525food: $420utilities: $280savings: $350fun: $175clothing: $245personal: $105charity: $350

Left over

The sum of these amounts is $3500, so there will be $0 left over.

__

Additional comment

The list is stored in the variable 'b' by the first line in the calculator. Then these values are multiplied by the net income to get the budget amounts.

Share your own multi-step combination problem

Answers

My own multi-step combination problem is given below:

Amanda  was planning a dinner party for 10 people, and she want to choose a menu of 3 fruit , 2 meat pie, and 2 desserts. Amanda  have a total of 5 fruit , 4 meat pie, and 3 desserts to choose from. How many different dinner menus can Amanda  create?

How do you solve the multi-step combination?

To solve this problem, Amanda  need to use the formula for combinations and it is:

nCr = n! / (r! x (n-r)!)

where:

n = total number of items to select from

r is the number of items to select.

First, we have to calculate the number of ways to select 3 fruit from 5, hence it will be:

5C3

=  5! / (3! x (5-3)!)

= 10

Next, we have to calculate the number of ways to select 2 meatpie from 4 and it will be

4C2

= 4! / (2! x  (4-2)!)

= 6

Lastly,, we need to calculate the number of ways to select 2 desserts from 3 and it will be:

3C2

= 3! / (2! x  (3-2)!)

= 3

To have the total number of dinner menus, we have to multiply these three numbers together:

= 10 x 6 x 3

= 180

Therefore, one can say that Amanda have 180 different dinner menus that she can be create.

Learn more about multi-step combination from

https://brainly.com/question/2191693

#SPJ1

HELP FASTTTTT PLAZSSSS

Answers

Top right=1
Top left=2
Bottom left=3
Bottom right=4

Factor by grouping. Then supply the term that is missing below. 4mn+3m+8n+6=(m+2)(?+3)

Answers

Answer:

4mn + 3m + 8n + 6 = (m + 2)(4n + 3)

The missing term is 4n.

Help please


Expand the logarithm as much as possible


logy^10

Answers

Using some logarithm properties we will get the expanded expression:

log(y^10) = 10*ln(y)/ln(10)

How to expand the logarithm?

So there are two logarithm properties that we can use here, these are:

logₙ(x) = ln(x)/ln(n)

and:

logₙ(x^a) = a*logⁿ(x)

Now let's go to our expression, it is:

log(y^10)

Using the second property we can remove the exponent, then we will get:

log(y^10) = 10*log(y)

Now we can use the first rule, remember that log(x) has a base of 10, then we can write:

10*log(y) = 10*ln(y)/ln(10)

That is the expession expanded.

Learn more about logarithms at:

https://brainly.com/question/13473114

#SPJ1

Vanessa purchased a used car on a payment plan. Four months after purchasing the car, the balance was $1,200. Seven months after purchasing the car, the balance was $975.

Write an equation that models the balance y after t months.

y =
t +

Answers

The equation that models the balance y after t months is y = -75t + 1,500

To write an equation that models the balance y after t months, we need to use the given information to determine the rate at which the balance is decreasing. We can use the formula for a straight line, y = mx + b, where m is the slope and b is the y-intercept.

We can start by finding the change in the balance over the three-month period from four to seven months after the purchase:

Change in balance = $1,200 - $975 = $225

The rate of change can be calculated by dividing the change in the balance by the number of months:

Rate of change = $225 / 3 months = $75 per month

We can use this rate of change as the slope of the equation:

y = -75t + b

To find the y-intercept b, we can use the fact that the balance was $1,200 four months after the purchase:

1,200 = -75(4) + b

b = 1,500

Therefore, the equation that models the balance y after t months is:

y = -75t + 1,500

To learn more about equation click on,

https://brainly.com/question/30170275

#SPJ1

Need answers to this by 20 min please!

Dividing cubic polynomials by linear divisor

Answers

The solution to each of the given polynomials are:

1)  x² + 3x - 4

2) x² - 4x + 4

3) x² - 7x + 8

4) x² - 13 - (15/(x + 3)

How to carry out polynomial division?

1) We want to divide the polynomial. Thus:

          x² + 3x - 4

x + 2| x³ + 5x² + 2x - 8

     -   x³ + 2x²

                 3x² + 2x

               - 3x² + 6x

                        - 4x - 8

                      -  -4x - 8

                                0

2) We want to divide the polynomial. Thus:

        x² - 4x + 4

x - 2| x³ - 6x² + 12x - 8

     -  x³ - 2x²

              - 4x² + 12x

              - -4x² + 8x

                         4x - 8

                      -  4x - 8

                                0

3) We want to divide the polynomial. Thus:

         x² - 7x + 8

x + 3| x³ - 4x² - 13x + 24

      -  x³ + 3x²

              - 7x² - 13x

              - -7x² - 21x

                         8x + 24

                      -  8x + 24

                                0

4) We want to divide the polynomial. Thus:

        x² - 13

x + 3| x³ + 3x² - 13x - 15

      -  x³ + 3x²

              - 0x² - 13x

              - -7x² - 13x

                       0 - 15

Read more about Polynomial Division at: https://brainly.com/question/25289437

#SPJ1

After 2 hours, 36% of a certain element remains. If a sample has an initial amount of 100 grams, how many hours will it take until only 1 gram remains? Provide an answer supported by valid mathematical reasoning and/or calculations.

Answers

It will take approximately 12.85 hours until only 1 gram of the element remains.

If after 2 hours, 36% of the initial amount remains, then the remaining amount is 0.36 times 100 grams, which is 36 grams. Let's define the amount of the element remaining after time t in hours as R(t). Since the element is decaying exponentially, we can model it with the equation R(t) = 100[tex](0.36)^t[/tex].

We want to find how many hours it will take until only 1 gram remains. We can set R(t) equal to 1 gram and solve for t:

1 = 100[tex](0.36)^t[/tex]

Taking the logarithm of both sides, we get:

ln(1) = ln(100[tex](0.36)^t[/tex])

0 = ln(100) + t*ln(0.36)

t = -ln(100)/ln(0.36)

Using a calculator, we find that t ≈ 12.85 hours.

To learn more about decay click on,

https://brainly.com/question/28334849

#SPJ1

Please see the attached

Answers

the answer is feet ......

PLS HURRY I AM GIVING BRAINLIEST!!!
the question is in the photo!!

Answers

A. Using the formula for area of rectangle, the length of the rectangular space is: 2x - 3

B. The expression to prove this is: (2x - 3) * 4x = 8x² - 12x

What is the Area of a Rectangle?

To find the area of a rectangle, multiply the width and the length together. This means: Area = length * width.

Part A: We are given that area of the rectangular space is expressed as 8x² - 12x, if the width is 4x, then:

Length of the rectangular space = (8x² - 12x) / 4x = 4x(2x - 3)/4x

Length = 2x - 3

Part B: To prove this, we have:

length * width = 8x² - 12x

Substitute:

(2x - 3) * 4x = 8x² - 12x

Learn more about area of rectangle on:

https://brainly.com/question/29604954

#SPJ1

What is the answer?
A) Yes
B) No

Answers

Answer:

Step-by-step explanation:

No

no it is not proportional

a triangle has vertices P(-4,8), I (0,2) and N (4,-2). What are. the coordinates of the centroid of the triangle

Answers

The coordinates for the centroid of the triangle is (0, 2.67)

How do we calculate the centroid of the triangle?

The centroid of a triangle is the place where the three medians of the triangle meet or intersect.

To find the centroid of the triangle, we use the formula

(x₁ + x₂ + x₃)/3 , (y₁ + y₂ + y₃)/3

We add all the x coordinates together and divide by 3, we also do the same for the y coordinates.

It becomes x = (-4 + 0 + 4)/3  

y = (8 + 2 + (-2))/3

Therefore, the centroid is (0, 2.67)

Find more exercise on centroid;

https://brainly.com/question/10708357

#SPJ1

For each system of linear equations shown below, classify the system as "consistent dependent," "consistent independent," or "inconsistent." Then, choose the best description of its solution. If the system has exactly one solution, give its solution. (see attached)

Answers

The systems of linear equations can be classified as "consistent dependent," "consistent independent," or "inconsistent" as follows:

A. System A = Inconsistent (No solution)

B. System B = Consistent dependent (Indefinitely many solutions)

C. System C = Consistent independent (A unique solution)

How to identify the systems of linear equations

To identify the systems of linear equations, you first need to note the meaning of the different systems of equations. First, the Consistent dependent has two equations that represent the same line, so they intersect at infinitely many points and any point on the line represents a solution to the system.

Next, the Consistent independent has the two equations represented by two distinct non-parallel lines, so they intersect at exactly one point, which is the unique solution to the system.

Finally, the Inconsistent has two equations that are represented by two distinct parallel lines, so they do not intersect, and there is no solution to the system.

Learn more about the systems of linear equations here:

https://brainly.com/question/14323743

#SPJ1

find the taylor polynomial t3(x) for the function f centered at the number a. f(x) = cos(x), a = pi/2

Answers

The Taylor polynomial t3(x) for f(x) = cos(x) centered at a = pi/2 is t3(x) = -(x-pi/2) + (x-pi/2)³/3!.

How do we calculate?

A polynomial is  described as an expression consisting of variables and coefficients, which involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents.

The Taylor polynomial of degree n for a function f(x) centered at a is given by the formula:

We get the derivatives :

pn(x)=f(c)+f′(c)(x−c)+f′′(c)2!....

f(x) = cos(x)

f'(x) = -sin(x)

f''(x) = -cos(x)

f'''(x) = sin(x)

We the  evaluate these derivatives at x = pi/2:

f(pi/2) = cos(pi/2) = 0

f'(pi/2) = -sin(pi/2) = -1

f''(pi/2) = -cos(pi/2) = 0

f'''(pi/2) = sin(pi/2) = 1

We substitute  these values into the formula for the Taylor polynomial, and simplify to get Taylor polynomial T3(x) for the function:

the Taylor polynomial t3(x) for f(x) = cos(x) centered at a = pi/2 is t3(x) = -(x-pi/2) + (x-pi/2)³/3!.

Learn more about Taylor polynomial at:

brainly.com/question/2533683

#SPJ1

Use the general form of the equation for an ellipse with center (0,0) with a vertex at (5,0) and a co-vertex at (2,0)​

Answers

The general form of the equation for an ellipse with center (0,0) and semi-axes lengths a and b is:

(x^2/a^2) + (y^2/b^2) = 1

Since the vertex is at (5,0), we know that a = 5. Since the co-vertex is at (2,0), we know that b = 2.

Plugging these values into the equation, we get:

(x^2/5^2) + (y^2/2^2) = 1

Simplifying, we get:

x^2/25 + y^2/4 = 1

Therefore, the equation of the ellipse with center (0,0), a vertex at (5,0), and a co-vertex at (2,0) is x^2/25 + y^2/4 = 1.

I Need help with this question

Answers

Answer:

The answer is A.

Step-by-step explanation:

For this graph, you are using the linear equation formula: y = mx + b

m is the slope (rise/run)b is the y-intercept (where the line crosses zero at the y-intercept)

The area of the rectangle shown is 352 square inches. What are the dimensions of the rectangle? Write the dimensions from least to greatest.
Length= 4x Width= x+3 Area=352

Answers

Answer:

11 in and 32 in

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

Given a rectangle with dimensions of:

l = 4x in, w = x + 3 in,And area of A = 352 in²

Use area equation and find the value of x:

A = lw352 = 4x(x + 3)88 = x(x + 3)88 = x² + 3xx² + 3x - 88 = 0x² + 11x - 8x - 88 = 0x(x + 11) - 8(x + 11) = 0(x - 8)(x + 11) = 0x = 8 or x = - 11

The second root is ignored as being negative.

The dimensions of the rectangle are:

l = 4*8 = 32 inw = 8 + 3 = 11 in

Graph the parabola.

y=x^2-2x+4
Plot five points on the parabola: the vertex, two points to the left of the vertex, and two points to the right of the vertex. Then click on the graph-a-function button.

Answers

A graph of the parabola with five points on the parabola is shown below.

What is the vertex form of a quadratic equation?

In Mathematics and Geometry, the vertex form of a quadratic equation is given by this formula:

y = a(x - h)² + k

Where:

h and k represents the vertex of the graph.a represents the leading coefficient.

For the given quadratic function, we have;

y = x² - 2x + 4

When x = 0, we have:

y(0) = 0² - 2(0) + 4

y(0) = 4

When x = 2, we have:

y(2) = 2² - 2(2) + 4

y(2) = 4

When x = -2, we have:

y(-2) = -2² - 2(-2) + 4

y(-2) = 12

When x = 4, we have:

y(4) = 4² - 2(4) + 4

y(4) = 12

Read more on vertex here: https://brainly.com/question/19412824

#SPJ1

Laquita has $3,500 a month in cash inflows and $3,240 a month in forecasted cash
outflows. How much can she contribute annually to her liquidity fund?

Answers

Answer: $3120

Step-by-step explanation:

3500-3240

=260

260*12=3120

What is the equation through the points: (6, 5), (8, -2)


ASAP please

Answers

The equation of the line passing through the points (6, 5) and (8, -2) is[tex]y = -\frac{7}{2} x + 26[/tex].

What is the equation of the line?

The formula for equation of line is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Determine the slope of the line.

Given the two points are (-7, -3) and (1, 2)

We can find the slope of the line by using the slope formula:

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values:

m = (-2 - 5) / (8 - 6)

m = -7/2

Using the point-slope form, plug in one of the given points and slope m = -7/2 to find the equation of the line.

Let's use the point (6, 5):

y - y₁ = m(x - x₁)

[tex]y - 5 = -\frac{7}{2}( x - 6 )\\\\y - 5 = -\frac{7}{2} x + 21\\\\y = -\frac{7}{2} x + 21 + 5\\\\y = -\frac{7}{2} x + 26[/tex]

Therefore, the equarion of the line is [tex]y = -\frac{7}{2} x + 26[/tex].

Learn more about  equation of line here: brainly.com/question/2564656

#SPJ1

Other Questions
an assessment of elder care needs in the united states suggests that group of answer choices although an increasing number of employees must find ways to care for elderly parents, fewer firms will need to offer elder care than child care because the federal government already provides a great deal of assistance to the elderly. most firms have done a better job in responding to the need for elder care than they have in dealing with the need for child care. while an issue for some workers, at the present time elder care is not a high-profile item for most businesses. employees who must care for elderly parents are often in positions that are more critical to the firm's success than workers with concerns about child car Which of the following show a geometric series? select all that apply. 2 3 4.5 6.75 2 2.5 3 3.5 6 7 9 12 4 8 16 20 8 4 2 1 HELP PLEASEI have no idea what to do anything I try fails. Given the differential equation dy/dx = x-3/y, find the particular solution, y = f(x) with initial condition f(6) = -2 Angle axc is 180. if angle axb is 132, what is the measure of angle bxc? Will upvote if answer is correct.Find the surface area of revolution about the x-axis of y = 4x + 2 over the interval 2 you have mapped a drive letter to a share named hrdocs on a server named hr. after mapping the drive, you need to access a file named hiring.pdf in a subfolder named employment. what is the correct syntax for accessing this file using the drive mapping? How did the Soviets react to the failed Bay of Pigs invasion? a. They ignored it and knew the U.S. would fail to overthrow communism. b. They sent more troops to Cuba. c. They sent more missiles and missile materials to Cuba. d. They removed all Soviet military troops and missiles from Cuba What is the the message of ""the blackness"" and ""u.s fish and wildlife service announces expanded reporting for birds captured and collected during deepwater horizon response"" WILL MARK BRAINLIEST QUESTION IS IN THE PHOTO How did the 54th Massachusetts help to shape or change public opinion in the US? (Choose all that apply) Select 3 correct answer(s) They peacefully challenged prejudice pay They served only in roles requiring manual labor They were will to help fight to end the war They acted to save the lives of soldiers in other units They helped to create new rules for soldier conduct Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x) and C(x) are in dollars. R(x) = 60x 0.5x, C(x) = 2x+ 10, when x = 35 and dx/dt = 20 units per day = The rate of change of total revenue is $ per day. The rate of change of total cost is $ per day. The rate of change of total profit is $ per day. why do managers need to use accounting information? If the probability that the Islanders will beat the Rangers in a game is 0.88, what is the probability that the Islanders will win at least three out of four games in a series against the Rangers? Round your answer to the nearest thousandth. Which state was established in 1803 as part of the northwest ordinances. Ice (the solid phase of water) has a lower density than water because: 6 pointsA van traveling with constant velocity of 15 m-s1 passes a pedestrian crossing zone, where the speed limit is 10. M-5-1. Just as the van passes, a JMPD policeofficer on a motorcycle stopped at the crossing starts off in pursuit with constant acceleration of 3. 0 m. 5-2Save Answer(a) How much time elapses before the officer catches up with the van? (2 marks)(b) What is the officer's speed at that point? (2 marks)(c) What is the total distance each vehicle has traveled at that point? (2 marks) Wat was the main purpose of the government taking over the factories during ww1 Bob contracts to work for central construction corporation (ccc) during july for $4,500. on june 15, ccc cancels the contract. bob, on june 18, declines a similar job with design builders, inc., which would have paid $4,000. bob files a suit against ccc. as compensatory damages, bob can recover group of answer choices $500. nothing. $4,500. $4,000. which of the following is an example of a retail business? a. modular homebuilder b. book publisher c. hospital d. supermarket