What is the simplified expression in standard form

What Is The Simplified Expression In Standard Form

Answers

Answer 1

Answer:

[tex] \boxed{\sf - 2 {p}^{2} - 11p - 35} [/tex]

Step-by-step explanation:

[tex] \sf \implies - 2 {(p + 4)}^{2} - 3 + 5p \\ \\ \sf \implies - 2( {p}^{2} + 2(p)(4) + {4}^{2} ) - 3 + 5p \\ \\ \sf \implies - 2( {p}^{2} + 8p + 16) - 3 + 5p \\ \\ \sf \implies (( - 2) \times {p}^{2} ) + (( - 2) \times 8p) + ( ( - 2) \times 16) - 3 + 5p \\ \\ \sf \implies (- 2 {p}^{2} ) + ( - 16p ) + (- 32) - 3 + 5p \\ \\ \sf \implies - 2 {p}^{2} - 16p - 32 - 3 + 5p \\ \\ \sf \implies - 2 {p}^{2} + (- 16p + 5p) + ( - 32 - 3) \\ \\ \sf \implies - 2 {p}^{2} - 11p - 35[/tex]


Related Questions

1/3 of the members Voted know what fraction of the members did not know

Answers

Answer:

2/3 did not vote no

Step-by-step explanation:

1/3 voted no

The total is 1

1 - 1/3

3/3 -1/3

2/3 did not vote no

Answer each question and explain your reasoning.
How long is 75% of 60 minutes?​

Answers

Answer:

45 minutes

Step-by-step explanation:

75% is the same as [tex]\frac{3}{4}[/tex]. This means that we can multiply 60 by  [tex]\frac{3}{4}[/tex] to find 75% of 60.

[tex]60*\frac{3}{4} \\\\\frac{180}{4} \\\\\frac{90}{2}\\\\45[/tex]

Answer:

45 minutes

Step-by-step explanation:

Of means multiply

75% * 60

Change to a decimal

.75 * 60

45

45 minutes

Me pueden ayudar en este problema de potencia antonio tiene3 cajas , en cada caja hay 3 botones que contienen 3 lapices cuantos lapices habra en total

Answers

Answer:

23 lapices

Step-by-step explanation:

Él tiene 3 cajas.

Cada caja contiene 3 botones.

Cada botón contiene 3 lápices.

La cantidad de lápices que tendrá en total es:

[tex]N = 3 * 3 * 3 = 3^3 = 27[/tex]

Tendrá 23 lápices

What is the area of the triangle shown below?

Answers

Answer:B: 40 squ. Units!

Step-by-step explanation:

Hope this helps

Answer:

40sq. Units

Step-by-step explanation:

I just did it

What is the square root of -1

Answers

Answer:

i

Step-by-step explanation:

[tex]\sqrt{-1}[/tex] is the same thing as i, which is an imaginary number.

Since you can't take the square root of negative numbers, we use i to do it.

Draw the line with equation x+y=2

Answers

Answer:

Arrange the variables to y intercept form: y=-x+2. We have the slope is -1, and the y intercept is 2. You should be able to draw a line from here.

Step-by-step explanation:

I need help showing my work for the picture I've attached! I already have the answer as you can see below :)

Answers

Answer:

3x²y∛y

Step-by-step explanation:

∛27x⁶y⁴= ∛3³(x²)³y³y= 3x²y∛y

7 identically sized pieces of timber are x cm long when put together. How long is each individual piece?

Answers

the answer is:
7 divided by x
and x being the length of all of them together since there are 7 identically sized pieces

Answer:

x/7

Step-by-step explanation:

7*y=x

:7     :7

y=x/7

Toilet rolls come in packs of 4 and 9
The 4 pack is priced at £2.04
The 9 pack is priced at £4.68
By calculating the price per toilet roll, determine which pack is better value . Show your working

Answers

Answer:

4 pack priced at £2.04 is better value deal.

Step-by-step explanation:

The 4 pack is priced at £2.04

cost of one pack will be equal total price divided by no. of roll in one pack

cost of one pack will be  £2.04 /4 = £0.51

The 9 pack is priced at £4.68

cost of one pack will be  £4.68 /9 = £0.52

As price per toilet roll for  4 pack is  £0.51 which is less than

price per toilet roll for  9 pack which is  £0.52

4 pack priced at £2.04 is better value deal.

Answer:

4 pack priced at £2.04 is better value deal.

Step-by-step explanation:

A recipe for a batch of blueberry muffins calls for 3/5

the cup of blueberries. If Riley wants to make 1/2

a batch of muffins for herself and her tennis partner, how many cups of blueberries will she need?

Riley will need cups of blueberries.

Answers

Answer:

3/10

Step-by-step explanation:

Half of 3/5 is 3/10

Brainliest plss

Answer:

3/10

Step-by-step explanation:

You multiply 3/5 by 1/2.

3/5 x 1/2= 3/10

Hope I could help :)

Help me solve please

Answers

Answer:

44

Please see the attached picture for full solution

hope it helps...

Good luck on your assignment

Answer:

[tex]44[/tex]

hope this helps you.

brainliest appreciated

good luck! have a nice day!

Which graph represents an odd function? There are 6 points ona coordinate plane. The points ]are (negative 5, 3), (negative 3, 1), (negative 1, 1), (1, 3), (3, negative 5), (5, negative 1). There are 8 points on a coordinate plane. The points are (negative 4, 2), (negative 3, negative 1), (negative 1, negative 3), (0, 1), (1, 0), (2, negative 4), (4, 5), (5, 4). There are 8 points on a coordinate plane. The points are (negative 4, 0), (negative 3, 1), (negative 2, negative 3), (negative 1, negative 2), (1, 2), (2, 3), (3, negative 1), (4, 0) There are 11 points on a coordinate plane. The points are (negative 4, 3), (negative 4, 4), (negative 3, 5), (negative 2, 1), (negative 1, negative 1), (0, negative 3), (1, negative 1), (2, 1), (3, 5), (4, 3), (4, 4).

Answers

Answer:

Option C.

Step-by-step explanation:

Let as consider f(x) is a function.

If [tex]f(-x)=f(x)[/tex], then f(x) is even function.

If [tex]f(-x)=-f(x)[/tex], then f(x) is odd function.

It means, if (x,y) is a point of the function, then (-x,-y)is also a point of the function.

In option A, (-5,3) is a point of the function, but (5,-3) is not a point of the function.

So, function in option A is not an odd function.

In option B, (-4,2) is a point of the function, but (4,-2) is not a point of the function.

So, function in option B is not an odd function.

In option C,

If (-4,0) is a point of function, then (4,0) is also the point of the function.

Similarly, (-3,1) and (3,-1), (-2,-3) and (2,3), (-1,-2) and (1,2) are points of the function.

So, function in option C is an odd function.

In option D, (-4,3) is a point of the function, but (4,-3) is not a point of the function.

So, function in option D is not an odd function.

Answer:

C

Step-by-step explanation:

on EDGE 2023

the length of two parallel sides of a trapezium are 91 cm and 51 cm and the length of two other side 37 CM and 13 cm respectively determine the area of trapezium​

Answers

Answer:

903 sq. cm.

Step-by-step explanation:

It is given that the length of two parallel sides of a trapezium are 91 cm and 51 cm and the length of two other side 37 CM and 13 cm respectively.

Now draw a dotted line as shown in the below figure. So, we have a triangle with sides 13 cm, 37 cm, 40cm and a parallelogram with sides 51 cm, 13 cm.

Area of parallelogram is

[tex]A_1=base\times height[/tex]

[tex]A_1=51\times 13[/tex]

[tex]A_1=663[/tex]

Using heron's formula, area of triangle is

[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]

where, [tex]s=\dfrac{a+b+c}{2}[/tex].

The sides of triangle are 13cm, 37 cm, and 40 cm.

[tex]s=\dfrac{13+37+40}{2}=45[/tex]

Area of triangle is

[tex]A=\sqrt{45(45-13)(45-37)(45-40)}=240[/tex]

The area of trapezium is

[tex]A=A_1+A_2=663+240=903[/tex]

Therefore, the area of trapezium is 903 sq. cm.

A new lawn has a perimeter of 278 ft. and a width of 64 ft. A bag of grass seed will cover 384 ft 2of ground. How many bags of grass seed are needed to seed the new lawn? A. 4.34 B. 6 C. 10.25 D. 12.5

Answers

Answer:

12.5 bags

Step-by-step explanation:

This problem is on the mensuration of flat shapes

Given

perimeter of lawn = 278 ft

width of lawn = 64 ft

1. we need to solve for the length of the lawn

2. we also  we need to solve for the area of the lawn

perimeter of lawn= 2(width) + 2(length)

substituting our data we have

let the length be x

[tex]= 278= 2(64) + 2(x)\\\=278= 128+2x\\\=278-128= 2x\\\=150=2x\\\\\x=\frac{150}{2} \\\x= 75ft[/tex]

the length is 75 ft

the area of the lawn is [tex]75*64= 4800ft^2[/tex]

if a bag will cover[tex]384ft^2[/tex]

to cover the lawn we will need

[tex]\frac{4800}{384} \\=12.5 bags[/tex]

Which statement is true about the graphs of the two lines y = -4/5x + 2 and y = -5/4x - 1/2?

Statements:
1. The lines are perpendicular to each other because -4/5 and -5/4 are opposite reciprocals of each other.
2. The lines are perpendicular to each other because 2 and -1/2 are opposite reciprocals of each other.
3. The lines are neither parallel nor perpendicular to each other because -4/5 and -5/4 are not opposite reciprocals of each other.
4. The lines are neither parallel nor perpendicular to each other because 2 and -1/2 are not opposite reciprocals of each other.

Answers

Answer:

3. The lines are neither parallel nor perpendicular to each other because -4/5 and -5/4 are not opposite reciprocals of each other.

Step-by-step explanation:

Our answer is

3. The lines are neither parallel nor perpendicular to each other because -4/5 and -5/4 are not opposite reciprocals of each other.

Because [tex]-\frac{5}{4}[/tex] and [tex]-\frac{4}{5}[/tex] are not opposite reciprocals because they share the same sign ( - ).

Statement 3 is true. The lines y = -4/5x + 2 and y = -5/4x - 1/2 are neither parallel nor perpendicular to each other because the slopes -4/5 and -5/4 are not opposite reciprocals of each other.

To determine if two lines are perpendicular, we need to compare their slopes. If the slopes are negative reciprocals of each other, the lines are perpendicular.

Let's analyze the slopes of the given lines:

Line 1: y = -4/5x + 2

The slope of Line 1 is -4/5.

Line 2: y = -5/4x - 1/2

The slope of Line 2 is -5/4.

To check if these slopes are negative reciprocals, we need to invert one of the slopes and change its sign. Let's invert the slope of Line 1:

Inverted slope of Line 1: -5/4

The inverted slope of Line 1 is not equal to the slope of Line 2 (-5/4 ≠ -5/4). Therefore, the slopes are not negative reciprocals of each other.

Hence, Statement 3 is true. The lines y = -4/5x + 2 and y = -5/4x - 1/2 are neither parallel nor perpendicular to each other because the slopes -4/5 and -5/4 are not opposite reciprocals of each other.

To know more about slopes, refer here:

https://brainly.com/question/29243356

#SPJ2

Which of the following ratios forms a proportion with 4/15?
A: 8/20
B: 7/18
C: 12/45
D:6/25

Answers

I think is answer c 12/45

Answer:

C: 12/45

Step-by-step explanation:

You have to divide the numerator and the denominator by the same number, and if once you divide it you get the fraction then it's the right answer. So lets take 12/45 and try it.

12/3 =4

45/3 =15

4/15

Which of the following is a solution of y - x > -3? (2, -1) (6, 2) (2, 6)

Answers

Answer: (2, 6)

Step-by-step explanation:

y - x > -3

x coordinate is 2 and y coordinate is 6

Plug in the x and y coordinates

6 - 2 = 4

4 > -3

4. Two non-common sides of adjacent, complementary angles form
a) a straight angle
b) a reflex angle
c) a right angle
d) a linear pair

Answers

Answer:

c) a right angle

Step-by-step explanation:

A right angle can be defined as angles that are created or formed by two non-common sides of adjacent, complementary angles.

These angles have the following attributes:

a) They are angles that are complementary angles. This means that the sum of these angles is equal to 90°

b) The angles are adjacent complementary angles: These means that the angles are next to each other.

Two non-common sides of adjacent, complementary angles form a right angle because they have a common vertex and arm.

Answer:

a right angle

Step-by-step explanation:

Here is a list of numbers 17 21 14 17 12 15 16 A) work out the range of the numbers B) work out the mean of the numbers in the list

Answers

Answer:

Given below

Range: 9

Mean: 16

Hope it helps:)

Step-by-step explanation:

The data is given in the question

Range-

All we need to do is find the difference between the largest data value in our set and the smallest data value. Stated succinctly we have the following formula:

Range = Maximum Value–Minimum Value

= 21- 12

= 9

Mean-

The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. The formula is:

Sum of term/ number of terms = mean

= 17+21+14+17+12+15+16/7

= 112/7

= 16

The range and the mean of the given data are 9 and 16 respectively.

What is range?

The range is the difference between the smallest and highest numbers in a list or set.

Given that, a data 17, 21, 14, 17, 12, 15, 16,

a) Range = The difference between the lowest and highest values

= 21-12

= 9

b) Mean = (sum of all data)/(number of data)

=  (17+ 21+ 14+ 17+ 12+ 15+ 16)/7

= 112/7

= 16

Hence, The range and the mean of the given data are 9 and 16 respectively.

For more references on range, click;

https://brainly.com/question/28135761

#SPJ5

can someone please help me with this?

Answers

Answer:

13) 13.7     14) 78.3 cm

Step-by-step explanation:

13)   6²+x²=15²

       x = 13.7

14)   2πr/2 = 2(3.14)(5.5)/2 = 17.3

      25 + 11 + 25 + 17.3 = 78.3 cm

Help me
-ayyyyy

Idk I’m just having fun

Answers

Answer:

Step-by-step explanation:

A

Answer:

i think its A happy to help ya :)

Step-by-step explanation:

The hard-cover edition of a book cost 3 times as much as the paperback edition. Both editions together cost $26.60. Find the cost of each.

Answers

Answer:

the hardcover is 19.95, and the parback is 6.65. enjoy.

what is log 8/3 base 5 ​

Answers

Answer:

3 to the power of 8 / 5

Step-by-step explanation:

Wang Xiu Ying is gift wrapping boxes in the shape of a cube for her class fundraiser. She calculates that the surface area, S SS, in square feet, of a cube-shaped box with a side of m mm feet is given by the function S ( m ) = 6 m 2 S(m)=6m 2 S, left parenthesis, m, right parenthesis, equals, 6, m, squared. She also finds that the cost, C CC, in dollars, of wrapping a box with a surface area of x xx square feet is given by the function C ( x ) = 0.15 x + 0.25 C(x)=0.15x+0.25C, left parenthesis, x, right parenthesis, equals, 0, point, 15, x, plus, 0, point, 25. Find an explicit expression that models the costs of wrapping a cube shaped box with a side length of m mm feet.

Answers

Answer:

[tex]C(m)=0.9m^2+0.25[/tex]

Step-by-step explanation:

The surface area of a cube-shaped box with a side of m feet is given by the function:

[tex]S(m)=6m^2[/tex]

The cost, C, in dollars, of wrapping a box with a surface area of x square feet is given by the function:

[tex]C ( x ) = 0.15 x + 0.25[/tex]

We want to find an explicit expression that models the costs of wrapping a cube-shaped box with a side length of m feet.

In the cost function, C(x), x is the surface area, therefore:

[tex]S(m)=x;$ and$\\C ( S(m) ) = 0.15(6m^2) + 0.25\\C(m)=0.9m^2+0.25[/tex]

To find the cost of wrapping a cube of side length m feet, we use the explicit function:

[tex]C(m)=0.9m^2+0.25[/tex]  

Record 3 2/25 as a decimal. Please help!!!!!

Answers

Answer:

1.28 is the decimal form

Step-by-step explanation:

and 128/100 or 128% is the percentage for 32/25.

// have a great day //

The answer is 3.08


3+2/25
= 3.08
= 308%

a zoo has 15 toucans and 60 parrtos

Answers

Answer:

It has 75 birds

Step-by-step explanation:

Hope that's the answer since I can't get the question

What is true about the completely simplified sum of the polynomials 3x2y2 − 2xy5 and −3x2y2 + 3x4y?


The sum is a trinomial with a degree of 5.
The sum is a trinomial with a degree of 6.
The sum is a binomial with a degree of 5.
The sum is a binomial with a degree of 6.

Answers

Answer:

The sum is a binomial with a degree of 6

Step-by-step explanation:

we have

(3x^{2}y^{2}-2xy^{5})+(-3x^{2}y^{2}+3x^{4}y)

Group terms that contain the same variable

(3x^{2}y^{2}-3x^{2}y^{2})-2xy^{5}+3x^{4}y

0-2xy^{5}+3x^{4}y

-2xy^{5}+3x^{4}y

The sum is a binomial ( two terms) with a degree of 6  

-2xy^{5} has a degree of 6 (x has an exponent of 1, y has 5, and 1+5=6)

Answer:

D. The sum is a binomial with a degree of 6

Step-by-step explanation:

Calculate the probability of all three events occurring.

Answers

Answer:

even = 1/2

prime = 1/2

multiple of 5 = 1/6

Step-by-step explanation:

probability is the chances of obtaining a certain result out of many attempts.

when rolling a die, the maximum number of results you can get is 6

Then, calculate how many times each of the occurrences appear(even, prime or multiples of 5)

Even = There are only 3 even numbers from 1 to 6

Prime: There are only 3 primes from 1 to 6

Multiples of 5 = There is only one multiple of 5.

Now you present each of this out of 6:

Even: 3/6 = 1/2

Prime: 3/6 = 1/2

Multiple of 5 = 1/6

This can also be presented as a decimal or percentage:

Even: 50% = 0.5

Prime: 50% = 0.5

Multiple of 5 = 16.67% = 0.16

Hope this helps.

Good Luck

Please help! Correct answer only! This assignment is due today.
Lester teaches a ceramics class on the weekends. In Sunday's class, the students created 19 clay objects, 12 of which were vases. After each class, Lester bakes the clay objects in a hot kiln to harden them. Students pick up their finished pieces later in the week.
If Lester randomly chose 16 clay objects to bake in the kiln Sunday night, what is the probability that exactly 11 of the chosen clay objects are vases?

Write your answer as a decimal rounded to four decimal places.

Answers

Step-by-step explanation:

Well they made 19 clay, where 12 were vases. That means 7 were not vases. She randomly chooses 16 clay objects, which then also means 3 were left behind. so if the vases are  12/19, which is approximately 63%, then 63% of the objects are vases. Makes sense, right? Well now we need to multiply that by the initial 11 in the question. After all of this work..

Answer: 6.9474 or 6.94736.

Please mark as Brainliest.

Factor the expression completely.
18x2 - 32
O A. 2(3x + 2)(3x – 8)
B. 2(9x2 - 16)
O C. 2(3x - 4)(3x - 4)
O D. 2(3x + 4)(3x - 4)

Answers

Answer:

[tex]\fbox{\begin{minipage}{13em}Option D: 2(3x + 4)(3x - 4)\end{minipage}}[/tex]

Step-by-step explanation:

      [tex]A = 18x^{2} - 32\\[/tex]

Find the sharing components:

<=> [tex]A=2*9*x^{2} - 2*16[/tex]

Apply the inverse of associative property:

<=> [tex]A = 2(9x^{2} - 16)[/tex]

Identify two square components inside the parenthesis:

<=> [tex]A = 2((3x)^{2} - 4^{2} )[/tex]

Factorize:

<=> [tex]A = 2(3x + 4)(3x - 4)[/tex]

=> Option D is correct

Hope this helps!

:)

Other Questions
Who is the president in Dominican An engine draws energy from a hot reservoir with a temperature of 1250 K and exhausts energy into a cold reservoir with a temperature of 322 K. Over the course of one hour, the engine absorbs 1.37 x 105 J from the hot reservoir and exhausts 7.4 x 104 J into the cold reservoir. 1) What is the power output of this engine? 2) What is the maximum (Carnot) efficiency of a heat engine running between these two reservoirs? 3) What is the actual efficiency of this engine? Find the value of x in the given figure using properties of parallel lines. answers: A) 35 B) 15 C) 75 D) 105 You have just been offered your dream job after graduating from Jacksonville University. In response to your negotiations concerning your compensation package, the company has offered you a couple of different stock options in addition to the agreed upon salary.Under the first option, you would receive stocks with a value of $2,000,000 at the end of each year. This option also includes an additional $4,000,000 bonus that you would receive for staying at the company for 3 years.Under the second option, you would receive stocks with a value of $1,000,000 at the end of each year. This option also includes an additional $8,000,000 bonus that you would receive for staying at the company for 3 years.Assume that these stocks grow at a rate of 11% compounded monthly. Moreover, assume that you will leave the company at the end of your fourth year to start your own firm. Which option will you choose. (The more money you have to start your own firm, the better.)Your formal solutions should include ... The overall goal and/or purpose. The given information A time-line for each option A future value for each individual stock payment provided you by the company The total future value of each option at the time you plan to leave the company Your conclusion 1. How are populations of chimpanzees affected by slash and burn agriculture? 2. Which features of chimpanzees make them more disadvantaged than other primates? A. Element B. Compound C homogenous mixture D heterogenous mixture If all earths ice melted what will happen The scientific process is most similar to:A Following a recipeB Learning a languageC Building a bridgeD Solving a mystery Assume that a machine puts out 8000 joules of work when the user puts in 10,000 joules of work. What is the efficiency of the machine? A sample of carbon-12 has a mass of 6.00 g. How many atoms of carbon-12 are in the sample?3.01 x 10^236.02 x 10^231.20 x 10^243.60 x 10^24 John read the first 114114114 pages of a novel, which was 333 pages less than \dfrac13 3 1 start fraction, 1, divided by, 3, end fraction of the novel. Write an equation to determine the total number of pages (p)(p)left parenthesis, p, right parenthesis in the novel. John read the first 114114114 pages of a novel, which was 333 pages less than \dfrac13 3 1 start fraction, 1, divided by, 3, end fraction of the novel. Write an equation to determine the total number of pages (p)(p)left parenthesis, p, right parenthesis in the novel. John read the first 114114114 pages of a novel, which was 333 pages less than \dfrac13 3 1 start fraction, 1, divided by, 3, end fraction of the novel. Write an equation to determine the total number of pages (p)(p)left parenthesis, p, right parenthesis in the novel. John read the first 114114114 pages of a novel, which was 333 pages less than \dfrac13 3 1 start fraction, 1, divided by, 3, end fraction of the novel. Write an equation to determine the total number of pages (p)(p)left parenthesis, p, right parenthesis in the novel. John read the first 114114114 pages of a novel, which was 333 pages less than \dfrac13 3 1 start fraction, 1, divided by, 3, end fraction of the novel. Write an equation to determine the total number of pages (p)(p)left parenthesis, p, right parenthesis in the novel. John read the first 114114114 pages of a novel, which was 333 pages less than \dfrac13 3 1 start fraction, 1, divided by, 3, end fraction of the novel. Write an equation to determine the total number of pages (p)(p)left parenthesis, p, right parenthesis in the novel. John read the first 114114114 pages of a novel, which was 333 pages less than \dfrac13 3 1 start fraction, 1, divided by, 3, end fraction of the novel. Write an equation to determine the total number of pages (p)(p)left parenthesis, p, right parenthesis in the novel. John read the first 114114114 pages of a novel, which was 333 pages less than \dfrac13 3 1 start fraction, 1, divided by, 3, end fraction of the novel. Write an equation to determine the total number of pages (p)(p)left parenthesis, p, right parenthesis in the novel. John read the first 114114114 pages of a novel, which was 333 pages less than \dfrac13 3 1 start fraction, 1, divided by, 3, end fraction of the novel. Write an equation to determine the total number of pages (p)(p)left parenthesis, p, right parenthesis in the novel. John read the first 114114114 pages of a novel, which was 333 pages less than \dfrac13 3 1 start fraction, 1, divided by, 3, end fraction of the novel. Write an equation to determine the total number of pages (p)(p)left parenthesis, p, right parenthesis in the novel. John read the first 114114114 pages of a novel, which was 333 pages less than \dfrac13 3 1 start fraction, 1, divided by, 3, end fraction of the novel. Write an equation to determine the total number of pages (p)(p)left parenthesis, p, right parenthesis in the novel. John read the first 114114114 pages of a novel, which was 333 pages less than \dfrac13 3 1 start fraction, 1, divided by, 3, end fraction of the novel. Write an equation to determine the total number of pages (p)(p)left parenthesis, p, right parenthesis in the novel. John read the first 114114114 pages of a novel, which was 333 pages less than \dfrac13 3 1 start fraction, 1, divided by, 3, end fraction of the novel. Write an equation to determine the total number of pages (p)(p)left parenthesis, p, right parenthesis in the novel. John read the first 114114114 pages of a novel, which was 333 pages less than \dfrac13 3 1 start fraction, 1, divided by, 3, end fraction of the novel. Write an equation to determine the total number of pages (p)(p)left parenthesis, p, right parenthesis in the novel. John read the first 114114114 pages of a novel, which was 333 pages less than \dfrac13 3 1 start fraction, 1, divided by, 3, end fraction of the novel. Write an equation to determine the total number of pages (p)(p)left parenthesis, p, right parenthesis in the novel. John read the first 114114114 pages of a novel, which was 333 pages less than \dfrac13 3 1 start fraction, 1, divided by, 3, end fraction of the novel. Write an equation to determine the total number of pages (p)(p)left parenthesis, p, right parenthesis in the novel. John read the first 114114114 pages of a novel, which was 333 pages less than \dfrac13 3 1 Lansing, Inc., provided the following data for its two producing departments: Molding Polishing Total Estimated overhead $400,000 $80,000 $480,000 Direct labor hours (expected and actual): Form A 1,000 5,000 6,000 Form B 4,000 15,000 19,000 Total 5,000 20,000 25,000 Machine hours: Form A 3,500 3,000 6,500 Form B 1,500 2,000 3,500 Total 5,000 5,000 10,000 Machine hours are used to assign the overhead of the Molding Department, and direct labor hours are used to assign the overhead of the Polishing Department. There are 30,000 units of Form A produced and sold and 50,000 of Form B. Required: 1. Calculate the overhead rates for each department. 2. Using departmental rates, assign overhead to the two products and calculate the overhead cost per unit. How does this compare with the plantwide rate unit cost, using direct labor hours? 3. What if the machine hours in Molding were 1,200 for Form A and 3,800 for Form B and the direct labor hours used in Polishing were 5,000 and 15,000, respectively? Calculate the overhead cost per unit for each product using departmental rates, and compare with the plantwide rate unit costs calculated in Requirement 2. What can you conclude from this outcome? According to the video, how did Western culture primarily spread to China? Migrant workers from the West began to settle in China to find jobs. Chinas government opened the country to increased trade with the West. An invading military introduced the people of China to a different culture. Chinese immigrants in the West exposed the people back home to new ideas. Which of the following roles best fits the situation?Kevin wants to create a business but is not sure what role is best for him. He has capital to invest. He has several partners with which he can begin a business. He has the most management experience of all his potential partners.A. Limited partner in a limited partnership.B. Neither a limited or general partner would be a good choice.C. General partner in a limited partnership. The roots of the function f(x) = x2 2x 3 are shown. What is the missing number? 28 points!! please help At an airshow, 8 skydivers were released from a plane in a circle formation. Each skydiver was connected to each of the other skydivers with a separate pieces of ribbon. How many pieces of ribbon were used in the skydiving act? help!! Algebra 1!!sorry if the picture is bad Solve the inequality for x A gas company president for a particular city is interested in the proportion of homes heated by gas. Historically, the proportion of homes heated by gas has been 0.72. A sample of 75 homes was selected and it was found that 45 of them heat with gas. Perform the appropriate test of hypothesis, at level .05, to determine whether the proportion of home heated by gas has changed. Group of answer choices