5. Find x and y of a , b and c

5. Find X And Y Of A , B And C

Answers

Answer 1

The value of x and y will be

a) x= 48  y= 72

b) x= 10   y= 3

c) x= 18  y= 3

What is triangle proportionality theorem ?

Triangle Proportionality Theorem Statement

If a line is drawn parallel to any one side of a triangle so that it intersects the other two sides in two distinct points, then the other two sides of the triangle are divided in the same ratio.

DA/BD = EC/BE

How we can calculate the value of x and y from the figure ?

The value of x and y can be calculated as

a ) x/4 + 5 =x/2-7                  y/3-6=66-2/3y

   x/4- x/2 = -7-5                   y/3+ 2y/3= 66 + 6  

   x-2x/4=-12                          3y/3= 72

    x= 48                                   y=72

b) x/5 +3 = 4x-35                   2y + 1 = 5y-8

  x/5 - 4x = -35-3                    2y-5y= -8-1

 x-20x/5 = -38                        -3y=-9

 -1 9x/5 = -38                            y=3

    x= 10

c) x/3 + 2= 2x/3-4                    5y=7y/3+8

   x/3-2x/3= -4-2                      5y-7y/3=8

  -x/3 = -6                                  15y-7y=8x3

   x= 18                                           y=3

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Related Questions

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.

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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!!!!!!!!!!!!!!!!!!!!!!!!!

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

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.

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!.

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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.

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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

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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.

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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

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

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

Answers

Check the picture below.

Graph the feasible region and find the values of x and y that give the maximum possible value of g=8x+12y subject to the following constraints.

Answers

The feasible region on the attached graph of the inequalities created with MS Excel indicates that the maximum value of g = 8·x + 12·y is 100

What is an inequality?

The feasible region is the region on the graph of the inequalities that satisfies the specified constraints.

The specified equations obtained from the constraints in slope intercept form are;

y = -0.5·x + 7; The region below the graph is shaded

y = -0.75·x + 9; The region below the graph is shaded

x = 0; The region to the right of the line x = 0 is shaded

y = 0; The region above the line y = 0 is shaded

The point of intersection of the graphs can be found from the equation; -0.5·x + 7 = -0.75·x + 9

Which indicates that at the intersection, x = 8, and y = -0.5×8 + 7 = 3

The corner points are; (0, 0), (0, 7), (8, 3), (12, 0)

The value of the function g for each of the feasible region are therefore;

g(0, 0) = 8 × 0 + 12 × 0 = 0

g(0, 7) = 8 × 0 + 12 × 7 = 84

g(8, 3) = 8 × 8 + 12 × 3 = 100

g(12, 0) = 8 × 12 + 12 × 0 = 96

The maximum possible value of g therefore is 100, which is the value at the point (8, 3)

Please find attached the graph of the inequalities showing the feasible region created with MS Excel

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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.

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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].

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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.

what principal will have majority value of $10,000 at 8.25% p.a in three months?

Answers

__________________________________

Simple Interest: A = P × i ÷ 100 × n = 10,000 × 8.25 ÷ 100 × 3= 247.5= 10,000 + 247.5= $10,247.5 Compound Interest: A = P (1 + i ÷ 100) n = 10,000 (1 + 8.25 ÷ 100) ³= $12,684.80The Compound Interest Principal Will Have Majority Value In 3 Months

__________________________________

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

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.

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I would be thankful if you help

Answers

To get a 1 in matrix row 1, column 1 all we have to do is divide the row by 7 which gives us:

[tex]\left[\begin{array}{ccc} 1\frac {-4}{7}&\frac{8}{7} \\-12&7&-13\end{array}\right][/tex]

Understanding Matrix

The solution provided above uses a method of matrix called Echelon.

Echelon matrix is a matrix that has been transformed using row operations into a specific form that makes it easier to solve systems of linear equations.

By applying these row operations, a matrix can be transformed into row echelon form, which is a weaker form of echelon form where the leading non-zero entry of each row is to the right of the leading non-zero entry of the row above it, but not necessarily strictly to the right.

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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

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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.

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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.

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

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What is the answer?
A) Yes
B) No

Answers

Answer:

Step-by-step explanation:

No

no it is not proportional

The simplest form of log5+log6-log2​

Answers

The simplest form of log5+log6-log2​ is:  log15.

What is the simplest form?

Let us simplify log5 + log6 - log2 by making use  logarithmic rules:

log a + log b = log (ab)

log a - log b = log (a/b)

So,

log5 + log6 - log2

= log (5 x 6) - log2

= log30 - log2

Now let make use of the  logarithmic rule:

log a - log b = log (a/b) = log a - log b

log30 - log2

= log (30/2)

= log15

Therefore the simplest form is log15.

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Please see the attached

Answers

the answer is feet ......

If cos⁡θ=-1/3 and θ is in quadrant III, find the exact values of sin⁡θ,tan⁡θ,sec⁡θ,csc⁡θ,and cot⁡θ. You can use the identities or x, y, r.

Answers

The exact values of sinθ, tanθ, secθ, cscθ, and cotθ are -√8/9, √8/3, -3, -√9/8, and √9/8, respectively.

Given: cosθ = -1/3 and θ is in quadrant III.

This means that sinθ = ± √(1 - (cosθ)2).

We know that cosθ is negative, so sinθ will be negative.

Therefore, sinθ = -√(1 - (-1/3)2 )

sinθ = - √(1 - 1/9)

sinθ = -√8/9

tanθ = sinθ/cosθ

tanθ = (-√8/9)/-1/3

tanθ = √8/3

secθ = 1/cosθ

secθ = 1/-1/3

secθ = -3

cscθ = 1/sinθ

cscθ = 1/-√8/9

cscθ = -√9/8

cotθ = cosθ/sinθ

cotθ = -1/3/-√8/9

cotθ = √9/8

Therefore, the exact values of sinθ, tanθ, secθ, cscθ, and cotθ are -√8/9, √8/3, -3, -√9/8, and √9/8, respectively.

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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

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HELP FASTTTTT PLAZSSSS

Answers

Top right=1
Top left=2
Bottom left=3
Bottom right=4
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Need this answered Fast !!! Neo-liberal ideology highlights that government social programs: a )Help to improve capitalismb. )Provide education to improve the standard of livingc. )Create restrictions for the free-market economyd. ) Increase the workforce of a country A particle moves on a coordinate line with acceleration ds/dt = 30 sqrt(t) 12/ sqrt(t) subject to the conditions that ds/dt = 12 and s = 16 when t= 1. Find the velocity v = ds/dt in terms of t and the position.The velocity v = ds/dt in terms of t is v = In Chapter 6 of the Great Gatsby, what moment did James change to Jay? 1. Water is one of the most powerful forces on Earth. How does the example shown here illustrate the theory of uniformitarianism? if 2x + 3y = 6x - 5y, find the value of x/y. In circle E, AB//CD, m/ADC = 42 and themeasure of arc CD is twice the measure of arcAB. Find the measure of AB. Show your work. Hillsdale Orchard grows Fuji apples and Gala apples. There are 160 Fuji apple trees and 120 Gala apple trees in the orchard. Hillsdale Orchard's owners decide to plant 30 new Gala apple trees. Complete the ratio table (click for help) to find the number of new Fuji apple trees the owners should plant if they want to maintain the same ratio of Fuji apple trees to Gala apple trees Why are there so many concerns about the decline of Latvian language? Someone please give me a brainly answer State of Ohio questions 12.) Notarization is not valid until the principal pays a fee to the notary.A) TrueB) False Dr. mcintosh emphasizes that depression often involves the interactive influences of negative self-focused reflection, rejection from others, and low serotonin levels. dr. mcintosh's emphasis best illustrates Accrued liabilities represent: multiple choice income that has not yet been recognized on the income statement. expenses that have not yet been recognized on the income statement. expenses that have been recognized on the income statement but not yet been paid. income that has been recognized on the income statement but not yet collected.incorrect Pls help me with this! Will give points! Maths ice cream shop has 7 cups of sprinkles to use on Sundays for the rest of the day if each Sunday serves with one 8th cup of sprinkles how many Sundays can they serve An equipment rental business currently charges $32. 00 per power tool rental and averages 24 rentals a day. The company recently performed a study and found that for every $2. 00 increase in rental price, the average number of customers decreased by one rental. The company determined that the function f(x) = (32 + 2x)(24 x) can be used to represent the total revenue earned from the rentals, where x represents the number of rental price increases and f(x) represents the revenue earned. Part A: Explain what the expressions (32 + 2x) and (24 x) represent in the given scenario. Part B: What is the revenue after 3 rental price increases? Show your work or explain how you found your answer. Part C: What rental price would give the maximum revenue for the company? Solve for the missing side. Formula: a^2+b^2=c^2 Nathan is creating a presentation for the employees at his office which media element should he use in the navigational buttons in menus in his presentation 112in.If the prism can fit exactly 9 cubes from bottom to top, what is the volume of the prism? Write your answer as adecimal. Solve for length of segr6 cm4 cmb18 cmb = [?] cmIf two segments intersect inside CAN SOMEONE SHOW ME STEP BY STEP ON HOW TO DO THIS SOMEONE GAVE ME THE WRONG STEPSA city just opened a new playground for children in the community. An image of the land that the playground is on is shown.A polygon with a horizontal top side labeled 45 yards. The left vertical side is 20 yards. There is a dashed vertical line segment drawn from the right vertex of the top to the bottom right vertex. There is a dashed horizontal line from the bottom left vertex to the dashed vertical, leaving the length from that intersection to the bottom right vertex as 10 yards. There is another dashed horizontal line that comes from the vertex on the right that intersects the vertical dashed line, and it is labeled 12 yards.What is the area of the playground?900 square yards855 square yards1,710 square yards1,305 square yards