How tall would a building have to be if, after hitting the ground ten times, the ball bounces to 1 m? Is there a building this tall?

Answers

Answer 1

The building should be 1.024 meters high and unfortunately there are no buildings with such height in the world.

How to estimate the height of a building by geometric progressions

In this question we must use definition of geometric progression to predict initial height ([tex]h_{o}[/tex]), in meters, in terms of current height ([tex]h[/tex]), in meters, and number of bounces experimented by the ball ([tex]n[/tex]). The expression is described below:

[tex]h = h_{o}\cdot \left(\frac{1}{2} \right)^{n}[/tex]   (1)

If we know that [tex]n = 10[/tex] and [tex]h = 1\,m[/tex], then the initial height is:

[tex]1 = h_{o}\cdot \left(\frac{1}{2} \right)^{10}[/tex]

[tex]h_{o} = 2^{10}[/tex]

[tex]h_{o} = 1024\,m[/tex]

The building should be 1.024 meters high and unfortunately there are no buildings with such height in the world. [tex]\blacksquare[/tex]

Remark

The statement is incomplete, complete form is shown below:

A ball falls from the roof of a building and bounces half as high each time. How tall would a building have to be if, after hitting the ground ten times, the ball bounces to 1 meter? Is there a building this tall?

To learn more on geometric series, we kindly invite to check this verified question: https://brainly.com/question/15130111


Related Questions

factor 20mn-15m show work

Answers

Answer:

hello

20 mn - 15 m

= 5 m ( 4 n - 3 )

Step-by-step explanation:

Cam wants to find 509-106. Which steps can he use to find the difference

Answers

Answer:

Standard addition

509

-106

9-6=3

509

-106

------

3

0-0=0

509

-106

-------

03

5-1=4

509

-106

-------

403

403 is your answer and to check it you can add 403+106=509

Please mark brainly!! Have a great day!

Ok, so Jay has a goal of saving money to buy a handheld game console. Jay has reached 10% of his goal and saved $12. complete the bar

Answers

Answer:

if he reaches 20% he will make 22

1: what times 2 is 86
2: what times 2 is 32
3: what times 2 is 404
4: what times 1 is 38

Answers

Answer:

1=43

2=16

3=202

4=38

Step-by-step explanation:

HOPE THIS HELPED:)

Answer:

1: 43 times 2 is 86

2: 16 times 2 is 32

3: 202 times 2 is 404

4: 38 times 1 is 38

Step-by-step explanation:

What is the equation of the line through (-2, -3) with a slope of 0

Answers

Step-by-step explanation:

Hey there!

The point is; (-2,-3) and slope is 0.

Use one point formula.

(y-y1) = m(x-x1)

Put all values.

(y+3) = 0(X+2)

y+3 = 0

y= -3

Therefore, the equation is y = -3.

Hope it helps...

which ratio is different from the other three A.8/20 B.12/30 C.6/10 D.14/35

Answers

The answer is c. 6/10 because it is equivalent to 3/5 when you simplify. Everything else is 2/5.

The GCF of 28 and 64 is blank

Answers

Answer:

4

Step-by-step explanation:

the greatest common factor is 4 (maybe brainliest?)

Answer: 4

Step-by-step explanation:

The factors of 64 are 64, 32, 16, 8, 4, 2, 1

The factors of 28 are 1, 2, 4, 7, 14 and 28

Therefore the GCF is 4

Hope This Helps!

A car undergoing uniform acceleration from rest moves 25 meters in 7.5 seconds. What is the acceleration of the car?​

Answers

Is this is full question?

pls help me plss!!!!!!​

Answers

Answer: 9 divided by 5 = 1 and 4/5

Step-by-step explanation:

9 divided by 5 = 1 and 4/5

For the diagram, you will have one box completely full, and another 4/5 full.

It takes 0.5 gallon of cream to make 1 pound of butter How much butter could you make with 0.25 gallons of cream

Answers

Answer:

half a pound of butter

Step-by-step explanation:

.5 pounds of butter seeing that it doubles from .5 to 1

80 POINTS BRAINLIES !!!

PHOTO ATTACHED

ANSWER A THROUGH J

a) Which country had the lowest number of overall medals among the ten countries?

b) Which country/countries competed in the least number of games?

c) What is the mode in the number of games countries participated in?

d) What is the range between the gold medals awarded to the 10 countries?

e) How many countries got more silver medals than bronze medals?

f) Apart from the United States, which country/countries got more gold medals, more silver medals and more bronze medals than Great Britain?

g) In comparing the number of games a country participated in and the overall number medals received, which country did the best (ie highest number of metals recived per game )?
Show your work

h) Using the given Data, give TWO likely reasons why a country like Jamaica does not feature in the top 10 medals even though it does very well in athletics.


i) Using the given information, determine the medal category in which the United states far outperformed its closest competitor.
Show your work.


j) Which 3 countries had the most evenly distributed number of goals. Silver and bronze medals (i.e. least smallest range)?
Show your work.

PLEASE HELP DUE TODAY!! THANK YOU.

Answers

a) Hungary had the lowest total medal count at 491

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

b) It's a tie between China and the Soviet Union with 10 games per country.

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

c) The mode is 27 since it is the most frequent value in the "total games" column. The mode is not necessarily the largest or smallest value. It's simply the value that shows up the most. It is possible to have more than one mode, but in this case 27 shows up the most times and no other value ties it. The value 27 shows up three times with the countries Italy, Sweden, and the United States

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

d) The range is 875. To find the range, subtract the largest value (max) and the smallest value (min). So we have range = max - min = 1022 - 147 = 875.

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

e) Answer: 4

List of countries that got more silver than bronze = {China, Great Britain, Soviet Union, United States}

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

f)

List of countries that got more gold, silver, and bronze compared to Great Britain

{Germany, Soviet Union}

So only two other countries fit the criteria

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

g)

Answer: The Soviet Union had the most medals per game (around 112 medals per game)

Work Shown:

For each row, divide the total medal count (in column F) by the number of games (in column B)

Australia = 497/26 = 19.1154 China = 543/10 = 54.3 France = 713/28 = 25.4643 Germany = 937/24 = 39.0417 Great Britain = 847/28 = 30.25 Hungary = 491/26 = 18.8846 Italy = 577/27 = 21.3704 Soviet Union = 1122/10 = 112.2 Sweden = 494/27 = 18.2963 United States = 2520/27 = 93.3333

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

h)

The country is likely not large enough to participate in enough games, especially when compared to larger countries. They may be specialized in just one or two events, or one or two categories of events.

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

i)

Answer: Gold Medal (vs Soviet Union)

The United States has a total medal count of 2520. The closest competitor is the Soviet Union at 1122

To compare which category (gold, silver, bronze) the US did better at, we'll divide each corresponding medal count for the two countries. We'll have the Soviet Union's count as the numerator and the US as the denominator.

Gold = 440/1022 = 0.4305

Silver = 357/794 = 0.4496

Bronze = 325/704 = 0.4616

The lowest result is one where the US performed best at. The gold percentage is 43.05% meaning the Soviet Union's gold count is roughly 43.05% of the US gold count

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

j)

Answer: Hungary, Italy, Sweden

Explanation:

You'll subtract the min and max for each row to get the range for each country. Sort the ranges from smallest to largest to see the top three countries that have the smallest range.

For example, Australia's highest medal count is at 187 (bronze) and lowest medal count at 147 (gold) so the range here is 187-147  = 40.

The various answers for each of the sections are answered below;

A) Looking at the table on the seventh column, we see that the lowest number of overall medals is 491 and it is gotten by the country Hungary.

B) Looking at the third column of the table, the least number of games a country participated is 10 and there are two countries with that number namely China and the Soviet Union.

C) Mode simply means the most frequently occurring number or event. In this case, under the third column, the most occurring number is 27 games.  

D) Formula for range is;

Range = Highest value - Least Value

Under the Gold Medal Column, highest value is 1022 and least value is 147. Thus;

Range = 1022 - 147

Range = 875.

E) Comparing the Silver and Gold gotten by each country, we can see that the countries that got more silver than bronze medals are; China, Great Britain, Soviet Union, United States. This is a total of 4 Countries.

 

F) Looking at the table, the only countries that got more gold, silver, and bronze respectively than Great Britain are Germany and Soviet Union.

G) For each country, to get their medals per game rate, we will just divide their medal total by the number of games in which they participated. Thus;

 Australia = 497/26 ≈ 19  

China = 543/10 ≈ 54

France = 713/28 ≈ 25

Germany = 937/24 ≈ 39

Great Britain = 847/28 ≈ 30

Hungary = 491/26 ≈ 19

Italy = 577/27 ≈ 21

Soviet Union = 1122/10 ≈ 112

Sweden = 494/27 ≈ 18

United States = 2520/27≈ 93

Country with most medals per game is Soviet Union with approximately 112 medals per game

H)  Two reasons why a country like Jamaica that is very good in athletics does not feature on the table is because;

- The country is not big enough to participate in many events

- The number of medals in Athletics is nowhere near the total for other events in the Olympic games.

I) The medal category in which the united states far outperformed its closest competitor is in the Gold medal category because the united states had a gold medal count of 2520 while the soviet union had 440 and thus the difference between both Gold medal counts will produce the highest range.

J) The 3 countries had the most evenly distributed number of Gold, Silver and bronze medals are;

Italy with a range of 13

Hungary with a range of 14

Great Britain with a range of 23

Read more at; https://brainly.com/question/21731862

For the function f(x) = 6x + 9, find the value of x.so that f(x) = 3.

Answers

Hope to help you, have a good day

What is the relationship between the lines with the following equations? 6x+4y=−12 y=−3/2x−5 The lines are perpendicular. The lines are the same. The lines are neither parallel nor perpendicular. The lines are parallel.

Answers

Answer:

I think the answer is "The lines are parallel."

Step-by-step explanation:

What can Slope be???????

Answers

Answer:

Slope = -5

Step-by-step explanation:

(x,y) ⇒ (13,11), (14,6), (15,1), (16,-4)

Pick any two points:

(x₁, y₁) and (x₂, y₂) ⇒ (15, 1) and (16, -4)

Use the slope formula:

⇒ y₂ - y₁/x₂ - x₁

⇒ -4 - 1/16 - 15

⇒ -5/1 = -5

Thus, the slope is -5.

4. The R and D unit at a major auto-makers sampled 36 of the new Model JZ-5 sport cars. They ran each car for one hour on a test track. For the 36 cars the
mean mpg (miles per gallon) was x = 47.8 with a standard deviation of 4.8 mpg.

a. Construct a 98% confidence interval for the mean mpg for the entire year's production of the Model JZ-5.

b. State the meaning of the interval in the context of the problem.

100 points

Answers

Answer:

b

Step-by-step explanation:

if u do the math, everything makes sense.

In a survey, 150 people said they prefer shopping online. 75% said they prefer shopping online. How many people were surveyed?
A. 300
B. 225
C.200
D. 125

Answers

B)because 75 percent can turn to .75 times 100 which it 75 then add it with 150

Find the area of the square

Answers

Solution:

[tex]\text{Area of square = L}^{2} \ \ \ \ \ \text{(L = Side)}[/tex]

[tex]\rightarrow \text{Area of square} = (3x^{2} - 5)^{2}[/tex]

Using the formula "(a + b)² = a² + 2ab + b²"

[tex]\rightarrow \text{Area of square} = (3x^{2} )^{2} - 2(3x^{2} )(-5) + 5^{2}[/tex]

Simplifying the LHS:

[tex]\rightarrow \text{Area of square} = (3x^{2} )(3x^{2} ) +(30x^{2} ) + 25[/tex]

[tex]\rightarrow \boxed{\text{Area of square} = 9x^{4} +30x^{2} + 25}[/tex]

In the graphic below, one palr of vertical angles is?

Answers

Answer:

1 and 6

Step-by-step explanation:

vertical angles = angles across diagonally which can either be 1 + 6 or 2 + 5, but only 1 + 6 is available

please help. please it's due soon ​

Answers

the slope is 7 f(a) is basically “y” and in this case a is in place of x so that makes the slope 7

Find the substitution 2x+3y=-5 and y=-x+5

Answers

Answer: x = 20, y = -15

Step-by-step explanation:

Since we already know that [tex]y=-x+5[/tex], we can just substitute in that value of y into the other equation:

[tex]2x+3y=-5\\2x+3(-x+5)=-5\\2x-3x+15=-5\\-x=-5-15\\-x=-20\\x=20[/tex]

with the value of x, we can find the value of y:

[tex]y=-x+5=-20+5=-15[/tex]

. Peggy is p years old.

Maggie is 1 year less than ¼ of Peggy’s age. What is Maggie’s age in terms of p?

a. ¼p - 1
b. 1 - ¼p
c. ¼p + 1
d. ¼p

Answers

Answer:

Step-by-step explanation:

Peggy is p years old.

¼ of Peggy’s age is  ¼p

1 year less than ¼ of Peggy’s age is ¼p - 1

so answer is A

A. Differentiate the following functions using product rule and quotient rule.
B. Differentiate the following using Chain Rule.

Answers

The following results by product rule and quotient rule are listed below:

[tex]f'(x) = 3\cdot x^{2}-15\cdot x - 9[/tex][tex]f'(x) = \frac{15}{2} \cdot x^{4}-6\cdot x^{3}+\frac{45}{2}\cdot x^{2}-\frac{81}{2} \cdot x +13[/tex][tex]f'(x) = \frac{90\cdot x^{2}-45\cdot x^{2}-40\cdot x +72}{25\cdot x^{4}-80\cdot x^{2}+64}[/tex][tex]f'(x) = \frac{\left(9\cdot x^{2}-18\cdot x-6\right)\cdot \left(\frac{x^{2}}{2}+7\cdot x-8 \right)-\left(3\cdot x^{3}-9\cdot x^{2}-6\cdot x +1 \right)\cdot \left(\frac{2}{3}\cdot x+7 \right)}{\left(\frac{x^{2}}{2}+7\cdot x-8 \right)^{2}}[/tex]

The following results by chain rule are listed below:

[tex]f'(x) = 3\cdot (2\cdot x^{2}-2\cdot x +1)^{2}\cdot (4\cdot x-2)[/tex][tex]f'(x) = \frac{15\cdot x^{2}-16\cdot x+9}{2\cdot \sqrt{5\cdot x^{3}-8\cdot x^{2}+9\cdot x-6}}[/tex][tex]f'(x) = \frac{2\cdot \left(6\cdot x-\frac{2}{3}-4\cdot x^{-5} \right)}{3\cdot \sqrt[3]{3\cdot x^{2}-\frac{2}{3}\cdot x +x^{-4} } }[/tex]

How to apply product rule and quotient rule to obtain the derivative of function

In this part we must apply the following rules to calculate the derivatives:

Product rule

[tex]\frac{d}{dx}[f(x)\cdot g(x)] = f'(x) \cdot g(x) + f(x) \cdot g'(x)[/tex]   (1)

Quotient rule

[tex]\frac{d}{dx}\left[\frac{f(x)}{g(x)} \right] = \frac{f'(x)\cdot g(x)-f(x)\cdot g'(x)}{[g(x)]^{2}}[/tex]   (2)

Now we proceed to obtain each expression:

1) [tex]f'(x) = 3\cdot x\cdot (x-6)+3\cdot x-9[/tex]

[tex]f'(x) = 3\cdot x^{2}-15\cdot x - 9[/tex] [tex]\blacksquare[/tex]

2) [tex]f'(x) = \left(\frac{9}{4}\cdot x^{2}-4\cdot x+\frac{1}{4}\right)\cdot (2\cdot x^{2}-2\cdot x + 4) + \left(\frac{3}{4}\cdot x^{3}-2\cdot x^{2}+\frac{x}{4}-6\right)\cdot (4\cdot x-2)[/tex]

[tex]f'(x) = \frac{9}{2}\cdot x^{4}-8\cdot x^{3}+\frac{1}{2}\cdot x^{2}-\frac{9}{2}\cdot x^{3}+8\cdot x^{2}-\frac{x}{2}+9\cdot x^{2}-16\cdot x+1 +3\cdot x^{4}-8\cdot x^{3}+x^{2}-24\cdot x-\frac{3}{2}\cdot x^{3}+4\cdot x^{2}-\frac{x}{2} +12[/tex]

[tex]f'(x) = \left(\frac{9}{2}+3 \right)\cdot x^{4}+\left(-8-\frac{9}{2}+8-\frac{3}{2} \right)\cdot x^{3} + \left(\frac{1}{2}+8+9+1+4 \right)\cdot x^{2} + \left(-16-24-\frac{1}{2} \right)\cdot x + \left(1+12\right)[/tex]

[tex]f'(x) = \frac{15}{2} \cdot x^{4}-6\cdot x^{3}+\frac{45}{2}\cdot x^{2}-\frac{81}{2} \cdot x +13[/tex]   [tex]\blacksquare[/tex]

3) [tex]f'(x) = \frac{-9\cdot (5\cdot x^{2}-8)-(-9\cdot x+4)\cdot (10\cdot x)}{(5\cdot x^{2}-8)^{2}}[/tex]

[tex]f'(x) = \frac{-45\cdot x^{2}+72+90\cdot x^{2}-40\cdot x}{25\cdot x^{4}-80\cdot x^{2}+64}[/tex]

[tex]f'(x) = \frac{90\cdot x^{2}-45\cdot x^{2}-40\cdot x +72}{25\cdot x^{4}-80\cdot x^{2}+64}[/tex]   [tex]\blacksquare[/tex]

4) [tex]f'(x) = \frac{\left(9\cdot x^{2}-18\cdot x-6\right)\cdot \left(\frac{x^{2}}{2}+7\cdot x-8 \right)-\left(3\cdot x^{3}-9\cdot x^{2}-6\cdot x +1 \right)\cdot \left(\frac{2}{3}\cdot x+7 \right)}{\left(\frac{x^{2}}{2}+7\cdot x-8 \right)^{2}}[/tex]   [tex]\blacksquare[/tex]

How to apply chain rule to find derivatives

Let be a function of the form [tex]f[u(x)][/tex], the derivative of this function is defined by the following rule:

[tex]\frac{d}{dx}[f[u(x)]] = \frac{df}{du}\cdot \frac{du}{dx}[/tex]

Now we proceed to present the following results:

1) [tex]f'(x) = 3\cdot (2\cdot x^{2}-2\cdot x +1)^{2}\cdot (4\cdot x-2)[/tex]   [tex]\blacksquare[/tex]

2) [tex]f'(x) = \frac{15\cdot x^{2}-16\cdot x+9}{2\cdot \sqrt{5\cdot x^{3}-8\cdot x^{2}+9\cdot x-6}}[/tex]   [tex]\blacksquare[/tex]

3) [tex]f'(x) = \frac{2}{3}\cdot \left(3\cdot x^{2}-\frac{2}{3}\cdot x+x^{-4} \right)^{-\frac{1}{3} } \cdot \left(6\cdot x-\frac{2}{3} -4\cdot x^{-5} \right)[/tex]   [tex]\blacksquare[/tex]

[tex]f'(x) = \frac{2\cdot \left(6\cdot x-\frac{2}{3}-4\cdot x^{-5} \right)}{3\cdot \sqrt[3]{3\cdot x^{2}-\frac{2}{3}\cdot x +x^{-4} } }[/tex]   [tex]\blacksquare[/tex]

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Which point will you end at if you start at point b and move 6 right and 6 up coordinates

Answers

do you have a picture or a coordinate of where b is?

f(x) = 2x-3 and g(x)=2x+1
Find (f+g) (x)​

Answers

Answer:

(f + g)(x) = 4x - 2

Step-by-step explanation:

This problem is asking us to find the value of (f + g)(x).

This means that we will need to add the values of f(x) and g(x) together.

Therefore, the values that are defined for these two functions will simply be conjoined by addition.

Steps

Step 1: Place the value of f(x) in parentheses ⇒ (2x - 3). Then, do the same        for g(x) ⇒ (2x + 1).

Step 2: Combine any like terms. Start with the terms that are not constants (variables with coefficients) and then combine constants.

Step 3: Simplify as much as possible.

Work Shown

[tex]$\tex$ f(x) = 2x - 3, g(x) = 2x + 1\\\\(f + g)(x) \ $\rightarrow$ \ f(x) + g(x)\\\\(2x - 3) + (2x + 1)\\\\\boxed{(4x - 2)}[/tex]

Therefore, (f + g)(x) = 4x - 2.

Hope this helps!

75 less than four times a number is equal to the number. what is the number

Answers

Answer:

number = 25

Step-by-step explanation:

❖ First, let's set up the equation.

"75 less than four times a number" means 4x - 75"is equal to the number" means = n (n = number)n = 4n - 75

Solving

Step 1: Subtract 4n from both sides

[tex]n-4n=4n-75-4n[/tex] [tex]-3n=-75[/tex]

Step 2: Divide both sides by -3.

[tex]-3n/-3=-75/-3[/tex] [tex]n = 25[/tex]

Step 3: Check if solution is correct.

[tex]25=4(25)-75[/tex] [tex]25=100-75[/tex] [tex]25=25[/tex]

Therefore, the number is 25.

A publisher ships magazines in cube-shaped boxes. These boxes are placed into a larger box that measures 6 ft long, [Math Processing Error] ft wide, and 12 ft tall. The edge length of each cube-shaped box is [Math Processing Error] ft.

How many cube-shaped boxes can fit into the larger box?


648 boxes

9,216 boxes

10,368 boxes

36,864 boxes

Please hurry!! 30 Points!!!

Answers

Answer: I am pretty sure that 648 boxes is the answer.

Step-by-step explanation:

(a)
Rewrite the decimal in the sentence below as a percentage.
The value had decreased to 0.02 of the purchase price.

Answers

Answer:

2%

Step-by-step explanation:

We can multiply a decimal by 100 to turn it into a percent.

0.02 * 100 = 2%

A museum charges $12.50 for a one-day youth admission and $17.50 for a one-day adult admission. One Friday, the museum collected $1485 from a total of 106
youths and adults. How many admissions of each type were sold?
UZE

Answers

Answer:

number of youth admissions sold (x) = 74

number of adult admissions sold (y) = 32

Step-by-step explanation:

Let x = number of youth admissions

Let y = number of adult admissions

Given:

total number of admissions sold = 106

⇒ x + y = 106

Given:

cost of youth admission = $12.50cost of adult admission = $17.50total amount collected = $1485

⇒ 12.5x + 17.5y = 1485

Rewrite  x + y = 106 to make y the subject:

⇒ y = 106 - x

Substitute  y = 106 - x  into 12.5x + 17.5y = 1485 and solve for x:

⇒ 12.5x + 17.5(106 - x) = 1485

⇒ 12.5x + 1855 - 17.5x = 1485

⇒ 5x = 370

⇒ x = 74

Substitute found value of x into y = 106 - x to find y:

⇒ y = 106 - 74

⇒ y = 32

BD is a perpendicular bisector of AC. The length of BA is 6d + 3, and the length of BC is 10d - 25. What are the lengths of BA and
BC? (1 point)
The length of BA is 30. The length of BC is 50.
The lengths of BA and BC are both 7.
The lengths of BA and BC are both 45.
The length of BA is 40. The length of BC is 50.

Answers

The lengths of BA and BC are both 45.

Step-by-step explanation:

Remember For two perpendicular lines, all four angles formed by the two lines are equal to 90° Perpendicular lines are said to be conguent o 45+45=90 thus your answer!

A random number Generate is used to select a number from one to 100 what is the probability of selecting a even number

Answers

the probability is 0.5, so 50%. half of the numbers from 1-100 are even
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To depart from GAAP, all Kate need to is describe the departure, its approximate effects, and the reasons why compliance with GAAP would mislead. c. To depart from GAAP, all Kate need do is demonstrate that following GAAP would mislead investors. d. To depart from GAAP, Kate need both demonstrate that following GAAP would mislead investors, and describe the departure, its approximate effects, and the reasons why compliance would mislead. 2.5 yards = approximately cm A farmer has 540 m of fencing to enclose arectangular area and divide it into two sections asshown.a) Write an equation to express the total areaenclosed as a function of the width.b) Determine the domain and range of this areafunction.c) Determine the dimensions that give themaximum area. (4 pts) Please read the following experiment and answer the questions below.Mr. Bailey decides to do an experiment to see if different types of popcorn pop faster in themicrowave. The TV commercials say that Popalicious is the fastest popping popcorn in theworld. Mr. Bailey's hypothesis was, "If I pop Jiffy Pop, Popalicious, and Pop-Tastic popcorn in amicrowave, then the Popalicious will pop faster because the commercial says so." He takesJiffy Pop, Popalicious, and Pop-Tastic and places them each in the microwave for 2 minutes.After two minutes is up, he counts the number of POPPED kernels in the bag. After three trials,Jiffy Pop had an average of 256 popped kernels, Popalicious had an average of 341 poppedkernels, and Pop-Tastic had an average of 357 popped kernels.I1. What is the independent variable in this experiment|2. Write a hypothesis for Mr. Bailey's experiment. Use if...then...because...Biology Which sentence uses parallel structure? A plant has the genotype AArrSs. Cross out gene combinations that cannot be produced or are not normal in the haploid gametes of this plant: Aas ArS Ars arS aRs Arr AS AArrSs Spencer can do a piece of work in 20 days and Toby in 25 days. They began to work together.But Spencer leaves after some days. Toby finish the remaining work in 11 days. After how manydays did Spencer leave? What was the relation between Buddhism and political power after the Han Dynasty? DBQ Which BEST describes the relationship betweenthe two triangles?A. The triangles are a reflection of each other and arecongruent by side-side-angle.B. The triangles are a reflection of each other and arecongruent by side-angle-side.C. The triangles are a translation of each other and arecongruent by side-side-angle.D. The triangles are a translation of each other and arecongruent by side-angle-side. What is the variance in the number of orders? Product Analysis: Lamb Rack; Portion size = 12oz (EP); yield = 85% Opening Inventory (lbs.) 100 Ending Inventory (lbs.) 110 Purchases (lbs.) 200 # Sold 200 Meal selling price $18.95 Purchase cost (lbs.) $11.00 A rectangular garden is 9 feet long and 3 feet wide. A second rectangular garden has dimensions that are double the dimensions of the first garden. What is the percent of change in perimeter from the first garden to the second garden? A writ of ________ is a request submitted to the U.S. Supreme to review a lower court decision. Here is a number pattern: 23, 26, 30, 35, 41. What is the next number in the pattern?(please answer) Find ABCneed help asap pls will give brianliest