there are 35 students in art class and 57 students in dance class. Find the number of students who are either in art class or in dance class​

Answers

Answer 1

Answer:

hope it helps you

Step-by-step explanation:

Let

A be the set of students in art class

B be the set of students in dance class

n(A) = 35    

n(B) = 57      

a) When 2 classes meet at different hours and n(A ∩ B) = 12 we have:

n(A ∪ B) = n(A) + n(B) - n(A ∩ B) = 35 + 57 - 12 = 80

b) When two classes meet at the same hour we have A∩B = ∅ that is n(A ∩ B) = 0 and

n(A ∪ B) = n(A) + n(B) - n(A ∩ B) = n(A) + n(B)  = 35 + 57 = 92


Related Questions

Wake up to reality! Nothing ever goes as planned in this world. The longer you live, the more you realize that in this reality only pain, suffering and futility exist. ” – Uchiha Madara

I well know a social life its only pain heading your way i am just saying a dream girl that i wish that would exist i dont like when people try to tell me to get a social life and try to get friends when they turn on you and use you

I do go outside that does not mean i have to be social with other people i am not the same as them i never want to be friends with a person who only causes pain and suffering in life

Answers

Exactly, Thank you again for these quotes!

-p.s you are loved <3

EDIT: THANKS FOR THE POINTS >:3

Wake up to reality! Nothing ever goes as planned in this world. The longer you live, the more you realize

Colah Company purchased $2,000,000 of Jackson, Inc., 6% bonds at par on July 1, 2021, with interest paid semi-annually. Colah determined that it should account for the bonds as an available-for-sale investment. At December 31, 2021, the Jackson bonds had a fair value of $2,300,000. Colah sold the Jackson bonds on July 1, 2022 for $1,800,000.


Required:
1. Prepare Colah’s journal entries for the following transactions:

The purchase of the Jackson bonds on July 1.
Interest revenue for the last half of 2021.
Any year-end 2021 adjusting entries.
Interest revenue for the first half of 2022.
Any entries necessary upon sale of the Jackson bonds on July 1, 2022, including updating the fair-value adjustment, recording any reclassification adjustment, and recording the sale.
2. Complete the following table to show the effect of the Jackson bonds on Colah’s net income, other comprehensive income, and comprehensive income for 2021, 2022, and cumulatively over 2021 and 2022.

Answers

If Colah Company purchased $2,000,000 of Jackson, Inc., 6% bonds at par on July 1, 2021. The journal entries for the purchase of the Jackson bonds on July 1 is: Debit Available-for-sale securities $2,000,000

Credit Cash $2,000,000.

What is journal entry?

Journal entry is used by companies to record their day to day business transaction.

July 1 2021

Debit Available-for-sale securities $2,000,000

Credit Cash $2,000,000

December 31 2021

Debit Cash $60,000

Credit Interest income  $60,000

(6% ×$2,000,000 / 2)

December 31 2021

Debit Available-for-sale securities $300,000

Unrealized Gain - Other comprehensive income $300,000

($2,000,000 - $2,300,000)

June 30 2022

Debit Cash $60,000

Credit Interest income  $60,000

(6% ×$2,000,000 / 2)

The entry necessary upon sale of the Jackson bonds on July 1, 2022 is:

July 1 2022

Debit Available-for-sale securities  $2,300,000

Unrealized Gain-Other comprehensive income account $300,000

Credit Cash $1,800,000

Credit Realized Loss on the sale of Available-for-sale securities $200,000  

[$1,800,000 - $2,000,000= $200,000 (Realized Loss)]

2. Table to show the effect of the Jackson bonds on Colah’s net income,

                             2021                   2022                       Total

Net Income       $60 ,000        ($140,000)              ($80,000)

( 60,000 - $200,000= -$140,000)

OCI                       $300,000                                         $300,000

Comprehensive Income $360,000 ($140,000) $220,000

Therefore the  journal entries for the purchase of the Jackson bonds on July 1 is: Debit Available-for-sale securities $2,000,000

Credit Cash $2,000,000.

Learn more about journal entry here:https://brainly.com/question/28390337

#SPJ1

Please help out with this question .

Please help out with this question .
Please help out with this question .

Answers

Answer:

B

Step-by-step explanation:

The sides of two cubes are in the ratio 2:1. What is the ratio of their volumes ?

Answers

Please mark as brainliest

Answer:

we know that, Volume of cube=a³

Let volume of 1st cube be 2x with side a and other be x with side A (according to given ratio)

Step-by-step explanation:

ATQ: 2x=a³ and, x=A³

a=³√2x and, A=x

we know that, surface area of cube is 6a²

Thus, surface area of 1st cube = 6(³√2x)²

= 6³√4x²

Surface area of 2nd cube=6(x)²=6x²

Ratio of S.A=(6³√4x²)÷(6x²)

Ratio of S.A=³√4:1

Please mark as brainliest

Have a great day, be safe and healthy

Thank u  

XD

Find the complex conjugate z1=3i+8

Answers

Answer:

8 - 3i

Step-by-step explanation:

Given a complex number z = a ± bi then

The complex conjugate is a ∓ bi

Here z = 3i + 8 = 8 + 3i , thus conjugate is 8 - 3i

What is the proof of the non-existence of a solution of a Diophantine equation?

Answers

Answer:

Let a, b and c be integers with a≠0 and b≠0, and let d=gcd(a,b). If d does not divide c, then the linear Diophantine equation ax+by=c has no solution.

Solve for y. -3 = 7 (y - 9/7)

Answers

Answer:

y = 1

Step-by-step explanation:

y - 3 = 7 (y - 9/7)

y - 3 = 7*y + 7*-9/7

y - 3 = 7y - 9

y - 7y = 3 - 9

-6y = -6

y = -6/-6

y = 1

probe:

1 - 3 = 7(1 - 9/7)

-2 = 7*-2/7

Find the missing side length. Assume that all intersecting sides meet at right angles. Be sure to include the correct unit in your answer. 5 yd Byd 15 yd 6 yd 7 yd​

Answers

The value of the missing side assuming that all the intersecting sides meet at right angles would be = 6ft.

How to calculate the missing side length?

From the diagram above, the length and the width of one side of the figure is given as;

Length = 13 ft

width = 16 ft

This is supposed to be the same for the other missing side length and width ;

That is ;

width = 11 + 5 = 16 ft

Length = 13 = 7 + ?

Make ? that subject of formula;

? = 13-7 = 6 ft

Learn more about square here:

https://brainly.com/question/25092270

#SPJ1

Find the missing side length. Assume that all intersecting sides meet at right angles. Be sure to include
Find the missing side length. Assume that all intersecting sides meet at right angles. Be sure to include

y’all im struggling right now

yall im struggling right now

Answers

Answer:

\(\frac{1}{6}\)

Step-by-step explanation:

probability of getting a number greater than 4 on a die, is 2 out of 6 or \(\frac{2}{6} = \frac{1}{3}\)

probability  of getting an A on the spinner is \(\frac{4}{8}=\frac{1}{2}\)

probability  of getting both is \(\frac{1}{3} *\frac{1}{2} = \frac{1}{6}\)

Two rock climbing gyms offer a two-month “trial period” training program. The first gym charges $4 per climbing session plus a one-time $50 fee. The second gym charges $6 per climbing session plus a one-time $30 fee. For what number of sessions is the cost of the program the same for each gym?

Write a system of equations you can use to find at what number of sessions the cost of the trial period program at each of the gyms is exactly the same.

Answers

Answer:

the second one

Step-by-step explanation:

Jewel completed 12 out of 20 of her homework questions last night. What percent did she complete?​

Answers

Answer:

60%

Step-by-step explanation:

12/20 = 3/5 = 0.6 = 60%

Answer:Jewel completed 60% of her homework questions last night.Step-by-step explanation:

Hey there! To find out how much of her homework Jewel completed, all we need to do is a little math. First, let's divide the number of questions she did by the total number of questions. That's 12 divided by 20 which equals 0.6.

Now, we just need to turn that decimal into a percentage. To do that, we simply multiply 0.6 by 100, which gives us 60. And voila! Jewel completed 60% of her homework.

calculate the tax for each taxable income of a head of household ​

Answers

Answer:

The tax for each taxable income of a head of household depends on the tax rate that applies to that income and the applicable deductions and credits available to the taxpayer. The tax rate applied to a taxpayer's income depends on the taxpayer's taxable income and filing status. The tax rate for a head of household is generally lower than the tax rate for a single filer, but higher than the tax rate for a married taxpayer filing a joint return.

To determine the tax for a taxable income of a head of household, you can use the Internal Revenue Service (IRS) tax tables or a tax calculator. The tax tables provide tax rates and income ranges for each tax bracket, and you can use them to determine the tax on a given income. Alternatively, you can use a tax calculator to input your taxable income, filing status, and any applicable deductions and credits to determine the tax owed.

It's important to note that the tax rate for a head of household may change from year to year, as the IRS adjusts the tax brackets and rates. Additionally, the deductions and credits available to a head of household may change from year to year, so it's important to consult the IRS guidelines for the most current information.

Step-by-step explanation:

simplify pls do fast

simplify pls do fast

Answers

The sum of the decimal values given is 0.93

Simplifying the decimal values can be done thus :

0.36 + 0.57

Both values are in two decimal places, hence we can multiply by 100 to obtain a whole number .

0.36*100 = 36

0.57*100 = 57

Adding the whole numbers :

__36

+_57

_____

__93

Dividing the sum by 100 to convert to an equivalent decimal value,

93/100 = 0.93

Therefore, the required value is 0.93

Learn more on decimals :https://brainly.com/question/78672

#SPJ1

Rewrite without absolute value for the given conditions: y=|x-3|+|x+2|-|x-5|, if 3 is smaller than x which is smaller than 5. Sorry for reposting, there were some glitches. Please do not put links.

Answers

9514 1404 393

Answer:

  y = 3x -6

Step-by-step explanation:

The three turning points of the terms divide the graph into 4 pieces. We can consider what functions apply in each piece.

x < -2

All terms are negated:

  y = (3 -x) -(x +2) -(5 -x) = -x -4

-2 < x < 3

The first and last terms are negated:

  y = (3 -x) +(x +2) +(x -5) = x

3 < x < 5

The last term is negated:

  y = (x -3) +(x +2) +(x -5) = 3x -6

5 < x

No terms are negated:

  y = (x -3) + (x +2) -(x -5) = x +4

_____

In the region of interest, the equation simplifies to y = 3x -6.

Rewrite without absolute value for the given conditions: y=|x-3|+|x+2|-|x-5|, if 3 is smaller than x

Penny's garden has a rectangular fountain in the
middle as shown below. What is the area of the
garden? (number only; leave off the cm²)


PLS HELP MY FINALS ARE TMR

Penny's garden has a rectangular fountain in themiddle as shown below. What is the area of thegarden?

Answers

The area of rectangular foundation is 320 feet²

How to calculate area of  rectangular foundation ?

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies. Imagine that your square is made up of smaller unit squares.

The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies.

Given,

area = length * width

= 32ft * 10ft

=320 feet²

Therefore the area of rectangular foundation is 320 feet²

To learn more about area refer to :

https://brainly.com/question/25292087

#SPJ1

Find the value of x, 6,4, 3x, 4x+1

Find the value of x, 6,4, 3x, 4x+1

Answers

Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

What is 5/8÷1 and 1/3

Answers

let's firstly convert the mixed fractions to improper fractions and then divide.

\(\stackrel{mixed}{1\frac{1}{3}}\implies \cfrac{1\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{4}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{5}{8}\div 1\frac{1}{3}\implies \cfrac{5}{8}\div \cfrac{4}{3}\implies \cfrac{5}{8}\cdot \cfrac{3}{4}\implies \cfrac{15}{32}\)

Please answer all these question

Please answer all these question
Please answer all these question
Please answer all these question

Answers

Answer:

it's 10.00 because I used a calculator

please help me in this mathematics questionplease help me in this mathematics questionplease help me in this mathematics question

please help me in this mathematics questionplease help me in this mathematics questionplease help me

Answers

The twenty units of potatoes illustrates the measure of central tendency  and probability

The modal weight, mean, and median

Start by sorting the dataset:

0.19; 0.28; 0.55;

0.62; 0.68; 0.77;

0.88; 0.89; 0.98;

0.99; 1.11; 1.22;

1.22; 1.22; 1.33;

1.44; 1.48; 1.68;

1.77; 1.99

The highest occuring element is 1.22 with a frequency of 3

The two middle elements are 0.99 and 1.11.

The mean of these two middle elements is: 0.5 * (0.99 + 1.11) = 1.05

The mean of the whole dataset is:

Mean = (0.19+ 0.28+ 0.55+ 0.62+ 0.68+ 0.77+ 0.88+ 0.89+ 0.98+ 0.99+ 1.11+ 1.22+1.22+ 1.22+ 1.33+ 1.44+ 1.48+ 1.68+1.77+1.99)/20

Mean = 1.06

Hence, the modal weight is 1.22, the mean is 1.06, and the median is 1.05

The probabilities

(a) at least 1.1 kg

There are 10 potatoes that weigh at least 1.1 kg.

So, the probability is:

P = 10/20

P = 0.5

(b) more than 3.5kg

There are 0 potatoes that weigh more than 3.5 kg.

So, the probability is:

P = 0/20

P = 0

(c) below 0.50kg

There are 2 potatoes that weigh below 0.50 kg.

So, the probability is:

P = 2/20

P = 0.1

The Variance of the weight.

This is calculated as:

Var = \(\sum\)(x - mean)^2/n

This gives

Var = [(0.19 - 1.06)^2 + (0.28 - 1.06)^2 + (0.55 - 1.06)^2 + (0.62 - 1.06)^2 + (0.68 - 1.06)^2 + (0.77 - 1.06)^2 + (0.88 - 1.06)^2 + (0.89 - 1.06)^2 + (0.98 - 1.06)^2 + (0.99 - 1.06)^2 + (1.11 - 1.06)^2 + (1.22 - 1.06)^2 + (1.22 - 1.06)^2 + (1.22 - 1.06)^2 + (1.33 - 1.06)^2 + (1.44 - 1.06)^2 + (1.48 - 1.06)^2 + (1.68 - 1.06)^2 + (1.77 - 1.06)^2 + (1.99 - 1.06)^2]/20

Evaluate

Var = 0.22

This means that:

The expectation of the squared deviation of the random variable from the mean is 0.22 kg

Read more about measure of central tendency at:

https://brainly.com/question/17631693

Answer:

0.22 kg

Step-by-step explanation:

floor of a classroom is 38 feet in length and 34 feet in width. A scale drawing of the floor has a length of 19 inches.

Answers

Answer:

38 i think i hope this helps

Find the value of x.
78°
OA7
OB. 8
O C. 5
O D. 1
(12x+18)

Find the value of x.78OA7OB. 8O C. 5O D. 1(12x+18)

Answers

Step-by-step explanation:

you can find the answer by vertical opposite angle

if the value of x is computed and it's equal to 78 you will find the answer

78=(12x+18)^

78=(12×5+18)

78=(60+18)

78=78 the problem is solved

may u get branliest please please

A health insurance company advertises on television, on radio, and in the local newspaper. The marketing department has an advertising budget of $46,400 per month. A television ad costs $1000, a radio ad costs $200, and a newspaper ad costs $600. The department wants to run 64 ads per month, and have as many television ads as radio and newspaper ads combined. How many of each type of ad can the department run each month?

Answers

The number of each type of ad that the department can run each month are:

TV Ads = 32

Radio Ads = 12

News Ads =  20

How to solve Simultaneous equation word problems?

x = number of tv ads

y = number of radio ads

z = number of news ads

Two formulas are indicated.

x + y + z = 64

1000x + 200y + 600z = 46400

they want as many tv ads as radio and news ads combined.

equation for that is x = y + z

since x = y + z, replace x with y + z in both equations to get;

y + z + y + z = 64

1000 * (y + z) + 200 * y + 600 * z = 46400

combine like terms and simplify to get:

2y + 2z = 64

1000y + 1000z + 200y + 600z = 46400

combine like terms again to get:

2y + 2z = 64

1200y + 1600z = 46400

Solving simultaneously gives:

y = 12

z = 20

Thus:

x = 12 + 20

x = 32

Read more about Simultaneous equations at: https://brainly.com/question/148035

#SPJ1

The width of a rectangle is 6 yards less than the length. The perimeter is 132 yards. Find the length and width.


Width =

Length =

Answers

The length and width of a rectangle are 36 and 30 yard respectively.

What is perimeter?

Its the sum of length of the sides used to made the given figure.

We are given that width of a rectangle is 6 yards less than the length. The perimeter is 132 yards.

Therefore, the perimeter = (2 x length)+(2 x width)

The length = 6 + w

Hence, we have;

132 = (2(6 + w))+(2w)

132 = 12 + 2w + 2w

132 = 12 + 4w

120 = 4w

w = 30

Length = 36 yard.

Thus, the length and width of a rectangle are 36 and 30 yard respectively.

Learn more about perimeter here:

https://brainly.com/question/10466285

#SPJ1

HELP! please explain how to solve the point of maximum growth rate for the logistic function?!?? I'm really confused!

HELP! please explain how to solve the point of maximum growth rate for the logistic function?!?? I'm

Answers

Answer:

18 units over 210 units of time

Step-by-step explanation:

the function reaches its limit at 116 and starts at 0 at -94

|-94|+|116|=210

Please help!! Will give thanks

Question is in photo!

Please help!! Will give thanks Question is in photo!

Answers

Answer:

linear

Step-by-step explanation:

its increasing at a steady rate each year. hope it helps!!!!


24 children were asked which is their favourite colour from a choice of red, blue
green or yellow. Their answers are shown below:
Blue
Red
Red
Green
Yellow
Red
Red
Red
Complete the frequency table.
Colour
Red
Blue
Red
Yellow
Red
Blue
Green
| Yellow 1111
Green
Blue
Green
Blue
Tally
Un Un
un
Analysing and Displaying Data
Yellow
Yellow
Blue
Red
Frequency
Red
Red
Blue
Yellow

Answers

The frequencies will be Red : 6, Blue: 4, Green: 8, Yellow : 1 (half of 2), Pink: 1 (half of 2).

What is a conditional relative frequency?

It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total frequency cell to total frequency.

It is given that:

24 children were asked which is their favourite colour from a choice of red, blue

green or yellow

From the data given in the question.

Red : 6

Blue: 4

Green: 8

Yellow : 1 (half of 2)

Pink: 1 (half of 2)

Thus, the frequencies will be Red : 6, Blue: 4, Green: 8, Yellow : 1 (half of 2), Pink: 1 (half of 2).

Learn more about the conditional relative frequency here:

brainly.com/question/8358304

#SPJ1

24 children were asked which is their favourite colour from a choice of red, bluegreen or yellow. Their

Pls help ASAP math plsssss

Pls help ASAP math plsssss

Answers

Answer:

ASAP meaning as soon as possible

Answer:

y=  1.4x + 7

Step-by-step explanation:

y= mx + b

m = rise over run = 7/5 = 1.4

the y intercept is 7, this is our b

On Monday, Jason ran x miles. On Tuesday, he ran 5 fewer miles than on Monday. The total number of miles Jason ran over thesetwo days can be found using 2. - 5What does the "2" represent in the expression 2.-5?the number of daysthe number of miles Jason ran on Tuesdaythe total number of miles ranhow many fewer miles Jason ran on Tuesday12345NextSomeone Pls help

Answers

Given that, On Monday, Jason ran x miles.

distance ran on monday equals to x

On Tuesday, he ran 5 fewer miles than on Monday

the distance ran on tuesday equal to the distance ran on monday minus 5;

\(x-5\)

Total distance covered in the two days is;

\(x+x-5=2x-5\)

Since the distance covered is in two days, the '2' in the expression represents the number of days

The answer is;

1. the number of days

Help with the following equation 8x²-6x-5=x

Answers

Answer:

\(8 {x}^{2} - 6x - 5 = x\)

\(8 {x}^{2} - 7x - 5 = 0\)

x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)

= (7 + √(49 + 160))/16

= (7 + √209)/16

= -.4661, 1.3411 (to 4 decimal places)

1) Tanx + Tan2x + Tan3x = Tanx.Tan2x.Tan3x
3​

Answers

Answer:

\(x = \frac{2}{3}n\pi\)

Step-by-step explanation:

Given

\(Tanx + Tan2x + Tan3x = Tanx.Tan2x.Tan3x\)

Required

Find x

Equate the given expression to 0

\(Tan\ x + Tan\ 2x + Tan\ 3x - Tan\ x\ .Tan\ 2x\ .Tan\ 3x = 0\)

Factorize:

\(Tan\ x + Tan\ 2x + Tan\ 3x(1 - Tan\ x\ .Tan\ 2x) = 0\)

Subtract both \(Tan\ 3x(1 - Tan\ x\ .Tan\ 2x)\) from both sides

\(Tan\ x + Tan\ 2x + Tan\ 3x(1 - Tan\ x\ .Tan\ 2x) - Tan\ 3x(1 - Tan\ x\ .Tan\ 2x) = 0 - Tan\ 3x(1 - Tan\ x\ .Tan\ 2x)\)

\(Tan\ x + Tan\ 2x = - Tan\ 3x(1 - Tan\ x\ .Tan\ 2x)\)

Divide both sides by: \((1 - Tan\ x\ .Tan\ 2x)\)

\(\frac{Tan\ x + Tan\ 2x}{(1 - Tan\ x\ .Tan\ 2x) } = - Tan\ 3x\)

In trigonometry:

\(Tan(3x) = Tan(x + 2x) = \frac{Tan\ x + Tan\ 2x}{(1 - Tan\ x\ .Tan\ 2x) }\)

So,

\(\frac{Tan\ x + Tan\ 2x}{(1 - Tan\ x\ .Tan\ 2x) } = - Tan\ 3x\)

is equivalent to:

\(Tan\ 3x = - Tan\ 3x\)

Collect Like Terms

\(Tan\ 3x+Tan\ 3x = 0\)

\(2Tan\ 3x = 0\)

Divide through by 2

\(Tan\ 3x = 0\)

In trigonometry:

If

\(Tan\ x= 0\) ,

Then \(x=2n\pi\)

Where \(n \ge 0\)

So, in this case:

\(3x = 2n\pi\)

\(x = \frac{2}{3}n\pi\)

Other Questions
inny downloads and modifies an open source software program, then uploads the program with a different name. which type of software license is she most likely to be working under A rigid, insulated tank, initially containing 0.4m3of saturated water vapor at 3.5bar, is connected by a valve to a large vessel, holding steam at 15bar,320oC. The valve is opened only as long as required to bring the tank pressure to 15bar.For the tank contents, determinea) the final temperature, in oCb) final mass, in kg What is the final step in scientific polling?A. interpreting the resultsB. selecting the sampleC. presenting carefully worded questionsD. identifying the universe You are planning a PR campaign that will donate 2% of all room revenues to support the Alzheimer's Foundation for theupcoming two weeks. You normally sell 4,200 rooms a week at an average rate of $214 per room. The campaign is so popular that you sell anadditional 204 rooms during the two week campaign. What is your net short-term cost or gain of the campaign? judah wants to buy a card for his mom.judah calculates the amount of the card as $4.50.the actual price of the card is $4.what Is judge's percent error. Surrealist artists were interested exploring: A. the use of simple geometric forms. B. the human body. C. political anti-art. D. the confusing and illogical. what port type is used to interconnect switches in a switch stack? based on what you saw in the video, how might william of normandy have been viewed differently by the people of france and the people of england? 15px the location of Fitzgeralds the great gatsby is important because Which is NOT a component of flamenco? A. baile B cante C toqueD picante Can someone help me please PLEASE HELP ASAP! Investigators plan to move some evidence from the crime scene. What should be done for this to happen correctly?A. Family members must be offered objects first before they are taken to the lab.B. Rough sketches of each object need to be added to their notes.C. A judge is required to approve the removal of any evidence.D. The evidence needs to be photographed prior to removal. We measure an object's internal kinetic energy by ______, whereas the thermal energy transferred from one object to another is ______. Multiple choice question. 100000 in standard form compared to mosses and liverworts, gymnosperms have fewer cells in the ______ stage What was the main cause of the great increase in the population of the United States before1830? T/F: most desktop and laptop computers run some version of windows. Are prokaryotic or eukaryotic cells easier to view in a wet mount and why? Describe the pattern in your own words:;1;8;27;64;125 and write down the next five terms Which function is best represented by this graph