PLEASE HELP!!

A box holds 12 cans. The dimensions of the box are shown. Calculate the total volume of the twelve

 PLEASE HELP!!A Box Holds 12 Cans. The Dimensions Of The Box Are Shown. Calculate The Total Volume Of

Answers

Answer 1

Answer:

49875 cm^3

Step-by-step explanation:

We use the formula, "V = bh" to find the volume of one cylinder (can), where "b" is the area of the circle base of the cylinder, and "h" is the height.

First, we can find the volume of one cylinder.

The base would be calculated by "πr^2", where "r" is the radius. To find the radius, we can use the information given in the diagram: four cans in a row have a length of 84 cm. Thus, if we divide 84 by 4, we get the diameter of one can. If we divide that diameter by 2, we get the radius of one can: 84/4/2 = 10.5 = r

πr^2 --> π10.5^2 = 110.25π

The height is shown in the diagram: one can fits perfectly inside the box, so the height dimension of the box is the same as the can's height dimension.

h = 12

Now, we can calculate the volume of one can: V = 12 * 110.25π = 1323π

As the problem calls for the volume of 12 cans, we can multiply the volume of one can by 12 to find the volume of 12 cans:

12 * 1323π = 15876π = 49875 cm^3

Answer 2

Answer:

Step-by-step explanation:

Firstly we have to find the dimensions of the can.

Height of can - 12 cm

Diameter of can - 21 cm

The radius of can - 21/2 = 10.5 cm

Volume of can - [tex]\pi r^2[/tex] * h ( height )

[tex]3.14 * 10.5^2[/tex] * 12

3.14* 110.25 *12

346.185 *12

4154.22

Volume of 12 cans - 4154.22 *12

Answer - [tex]49850.64cm^3\\[/tex]


Related Questions

Solve the linear equation
x/2 + 2y/3 = -1 and x - y/3 = 3​

Answers

x/2+2y/3=-1

Multiply by 6

3x+4y=-6-»eq(1)

And

x-y/3=3

Multiply by 3

3x-y=9-»eq(2)

eq(1)-eq(2)

5y=-15y=-3

Then

3x+4(-3)=-63x-12=-63x=6x=2

From Equation 1

[tex] \dfrac{x}{2} + \dfrac{2y}{3} = - 1 [/tex]

[tex] \dfrac{3x + 4y}{6} = - 1[/tex]

[tex]3x + 4y = - 6 [/tex]

From Equation 2

[tex]x - \dfrac{y}{3} = 3 [/tex]

[tex] \dfrac{3x - y}{3} = 3[/tex]

[tex]3x - y = 9[/tex]

By eliminating ;;

For that multiply equation 2 by 4

12x - 4y = 36 _(3)

By taking equation (1) and (3)

3x + 4y = -6

12x - 4y = 36

__________

15x = 30

x = 30/15

x = 2

Putting the value of x in 2

[tex]3(2) - y = 9[/tex]

[tex]6 - y = 9[/tex]

[tex]6 - 9 = y[/tex]

[tex]-3 = y[/tex]

So The value of x = 2 and y = -3

Which of the following terms is defined as a set of all points in a plane that are a given distance from a point?

O Circle
O Line segment
O Parallel line
O Ray

Answers

Answer:

circle

Step-by-step explanation:

any point on the circumference of a circle is equidistant from the centre.

The answer is circle

Elimination was used to solve a system of equations.
One of the intermediate steps led to the equation 9x = 27.
Which of the following systems could have led to this equation?
O
9x + 2y = 21
-9x - 2y = 21
10x - y = 15
x+y = - 12
7x - 2y = 15
x + y = 6
4x + 3y = 24
-5x - 3y = 3

Answers

The system of equation that could have led to the equation 9x = 27 is

7x - 2y = 15

x + y = 6

The correct option is the third option

7x - 2y = 15

x + y = 6

Solving systems of equations

From the question, we are to determine the system that could have led to 9x = 27


1.

9x + 2y = 21

-9x - 2y = 21

Subtracting, we get

9x + 2y = 21

-9x - 2y = 21

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

18x + 4y = 0

2.

10x - y = 15

x + y = - 12

Subtracting, we get

10x - y = 15

x + y = - 12

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

9x -2y = 27

3.

7x - 2y = 15

x + y = 6

Here, multiply the second equation by 2

2 × [x + y = 6]

2x + 2y = 12

Now, add to the first equation

7x - 2y = 15

2x + 2y = 12

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

9x = 27

4.

4x + 3y = 24

-5x - 3y = 3

Subtracting, we get

4x + 3y = 24

-5x - 3y = 3

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

9x + 6y = 21

Hence, the system of equation that could have led to the equation 9x = 27 is

7x - 2y = 15

x + y = 6

The correct option is the third option

7x - 2y = 15

x + y = 6

Learn more on Systems of equations here: https://brainly.com/question/12691830

#SPJ1

The ratio of the number of galleons to the number of galleys in the spanish armada is 5 : 1 . what missing information could be used to find the total number of galleons to galleys in the spanish armada ?

Answers

The amount of the galleys or the number of galleys.

If given the amount of galleons, you can find the amount of galleys by dividing the number of given galleons by 5.

If given the amount of galleys, you can find the amount of galleons by multiplying the number of given galleys by 5.

Learn more about Missing Ratio on:

https://brainly.com/question/16711686

#SPJ4

The probability of a student buying coffee before class is 30%. The probability of a student buying a muffin before class is 40%. The probability of a student buying tea before class is 20%. The probability a student buys coffee AND a muffin before class is 15%. The probability a student buys tea AND a muffin before class is 10%. What is the probability that a student buys coffee OR a muffin before class

Answers

The probability that a student buys coffee OR a muffin before class is 55%

How to determine the probability?

The given parameters are:

P(Coffee) = 30%

P(Muffin) = 40%

P(Tea) = 20%

P(Coffee and Muffin) = 15%

P(Tea and Muffin) = 10%

The probability that a student buys coffee OR a muffin before class is

P(Coffee or Muffin) = P(Coffee) + P(Muffin) - P(Coffee and Muffin)

This gives

P(Coffee or Muffin) = 30% + 40% - 15%

Evaluate

P(Coffee or Muffin) = 55%

Hence, the probability that a student buys coffee OR a muffin before class is 55%

Read more about probability at:

https://brainly.com/question/24756209

#SPJ1

Mr. Omwoyo, the principal of Maili Mbili Secondary would wish to cover the floor of the new administration block using square tiles. The floor is a rectangle of sides 12.8m by 8.4m. Find the area of the largest tiles in cm² which can be used to fit exactly without cutting. ​

Answers

Answer:

hi play truth and dare to with me in g met

A cup holds 2\9 litre of water. How many cups of water can be filled with 3litre bottle

Answers

Answer:

the answer might be 13.5

These marbles are placed in a bag and two
of them are randomly drawn.
What is the probability of drawing two
yellow marbles if the first one is placed back
in the bag before the second draw?
Give your answer as a ratio, reduced to
Help
simplest terms.
Hint: Multiply the probability of the 1st Event by the
probability of the 2nd Event to get your answer.

Answers

The probability of drawing two yellow balls if they're not replaced exists 1/45.

What is probability?

The probability exists in the analysis of the possibilities of happening of an outcome, which exists accepted by the ratio between favorable cases and possible cases.

Number of yellow marbles be 2

Number of pink marbles be 3

Number of blue marbles be 5

Total number of marbles = 2+3+5 = 10

The probability of removing the first yellow ball = 2/10

Since the ball exists not replaced, that indicates there choice be 9 balls left and 1 yellow ball left.

Probability of drawing the second yellow ball = 1/9.

Probability of drawing two yellow balls if they're not replaced

= 2/10 × 1/9

= 2/90

= 1/45

The probability of drawing two yellow balls if they're not replaced exists 1/45.

To learn more about probability refer to:

https://brainly.com/question/17030782

#SPJ9

What is the -value in the solution to this system of linear equations?y

4 + 5 = −12xy

-2 + 3 = −16xy

Answers

The xy-value in the solution to the given system of linear equation shows that x = 2 and y = -4.

What is a system of linear equations?

Whenever two or more linear equations operate simultaneously, we create a System of Linear Equations. These equations must contain one or more similar variables in order to operate together.

When solving a system of linear equations, our objective is to simplify two equations having two variables to a single equation having one variable. Because each equation in the system includes two variables, substituting an expression for a variable is one technique to minimize the number of variables in an equation.

From the given information:

4x + 5y = -12  --- (1)

-2x + 3y = -16 ----- (2)

From equation (1)

4x+5y+(−5y) = −12 + (−5y)       (Add -5y to both sides)

4x = −5y − 12

Divide both sides by 4

[tex]\mathbf{\dfrac{4x}{4}= \dfrac{-5y-12}{4}}[/tex]

[tex]\mathbf{x= \dfrac{-5}{4}y-3}[/tex]

Replacing the value of x in [tex]\mathbf{ \dfrac{-5}{4}y-3}[/tex] into equation (2); we have:

[tex]=\mathbf{-2(\dfrac{-5}{4}y-3)+3y=-16}[/tex]

[tex]\mathbf{\dfrac{11}{2}y+6 =-16}[/tex]

Simplifying both sides of the equation, we have:

[tex]\mathbf{\dfrac{11}{2}y+6-6 =-16-6}[/tex]

[tex]\mathbf{\dfrac{11}{2}y=-22}[/tex]

Cross multiply

11y = -44

y = -4

Replace the value of y = -4 into [tex]\mathbf{x= \dfrac{-5}{4}y-3}[/tex]

[tex]\mathbf{x= \dfrac{-5}{4}(-4)-3}[/tex]

x = 2

Learn more about systems of linear equations here:

https://brainly.com/question/14323743

#SPJ1

A set of twins, Andrea and Courtney, are initially 10 years old. While Courtney remains on Earth, Andrea rides on a spaceship that travels away from Earth at a speed of 0.60c for 10 years (as measured by Courtney). At the end of the trip, Courtney is 20 years old. How old is Andrea

Answers

The initial age of 10 years and the spaceship speed of 0.60•c, gives the Andrea's age at the end of the trip as 18 years.

How can Andrea's new age be calculated?

The time dilation using the Lorentz transformation formula is presented as follows;

[tex]t' = \frac{t}{ \sqrt{1 - \frac{ {v}^{2} }{ {c}^{2} } } } [/tex]

From the question, we have;

The spaceship's speed, v = 0.6•c

∆t = Rest frame, Courtney's time, change = 10 years

Therefore;

[tex]\delta t' =\delta t \times \sqrt{1 - \frac{ {(0.6 \cdot c)}^{2} }{ {c}^{2} } } = 8[/tex]

The time that elapses as measured by Andrea = 8 years

Andrea's age, A, at the end of the trip is therefore;

A = 10 years + 8 years = 18 years

Learn more about the Lorentz transformation formula here:

https://brainly.com/question/15544452

#SPJ1

The general term of a sequence is T(n)=n+2/n+3, find the value of T(1)*T(2)*T(3)*……….*T(100).

Answers

Answer:

T(1)=1+2(1)+3=6

T(2)=2+2(2)+3=9

T(3)=3+2(3)+3=12

T(100)=100+2(100)+3=303

A graphing calculator is recommended.

Use the graphical method to find all solutions of the system of equations, rounded to two decimal places.

y=e^x+e^-x
y=5-x^2

Dont bother answering if you won't show how you got it

Answers

The solution to the system of equations is (-1.189, 3.587) and (1.189, 3.587)

How to solve the system of equations?

The system of equations is given as

y=e^x+e^-x

y=5-x^2

See attachment for the graph of both equations

From the attached graph, the curve intersect at

(-1.189, 3.587) and (1.189, 3.587)

Hence, the solution to the system of equations is (-1.189, 3.587) and (1.189, 3.587)

Read more about system of equations at:

https://brainly.com/question/14323743

#SPJ1

Aaron has a loan of 1250£ He pays simple intrest 0.5% per month for eight months Calculate the total amount of interest Aaron pays​

Answers

Answer: 50 Pounds

Explanation: First we need to find out how much 0.5% of 1250 is. 0.5% of 1250 is 6.25£. Since that’s per month, and Aaron pays interest for 8 months, we multiply by 8. So 6.25 times 8 is 50.

Which statement correctly describes the expression 19×4?
A. Both factors are negative, so the product will be positive.
B. One factor is positive and one factor is negative, so the product will be positive.
C. Both factors are positive, so the product will be negative.
D. Both factors are positive, so the product will be positive.​

Answers

Answer:

D. Both factors are positive, so the product will be positive.​

when x=-1 what is the value of y?

Answers

Answer: y=3

Step-by-step explanation:

The x-axis is on the horizontal line, and the y-axis is on the vertical line. On the horizontal line at -1, just go up until you find where y is located.

By doing this, you can find that y=3.

Answer:

Step-by-step explanation:

All we have to do is find the point on the line where x = -1. If we know this, we can see how high the point is (i.e., find it's y-value). Then, we would know the value of y.

If we draw a vertical line from where x equals -1, we see that it crosses the line at point (-1, 3). This means that we can draw a line from the point to the number -1 on the x-axis and another line from the point to the number 3 on the y-axis.

Hence, the y-value when x=-1 would be 3.

Sandy rakes and bags the leaves on her front lawn in 30 mins. Randy does the same job in 20 mins. How many fewer minutes will it take to complete the same job if sandy and randy work together than if sandy works alone?

Answers

The number of minutes it take to complete the same job if sandy and randy work together than if sandy works alone is 18mins.

How to calculate time?

According to this question, Sandy rakes and bags the leaves on her front lawn in 30 mins while Randy does the same job in 20 mins.

To calculate the time it will take both of them to work together, we use the following expression;

1/30 + 1/20 = 1/x

x = 12mins

Therefore, it will take 30 - 12 = 18 mins, to complete the same job if sandy and randy work together than if sandy works alone.

Learn more about time at: https://brainly.com/question/28050940

#SPJ1

Which could be the entire interval over which the function, f(x), is positive? a 2-column table with 8 rows. the first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2, 3, 4. the second column is labeled f of x with entries negative 2, 0, 2, 2, 0, negative 8, negative 10, negative 20.

Answers

The entire interval over which the function, f(x), is positive is (-∞,1).

What is a function?

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Each element of X receives exactly one element of Y when a function from one set to the other is used. The set X is referred to as the function's domain, while the set Y is referred to as the function's codomain.

According to the question,

The function has positive values corresponding to the interval from negative infinity to one.

Learn more about functions here:

https://brainly.com/question/6561461

#SPJ4

Nathan buys a bottle of water for $1.25, gum for $0.50, and a book for $3.95. the sales tax is 10%. what is the sales tax for the things he buys

Answers

Answer:

$0.75, which is

75 cents

Step-by-step explanation:

First add the cost of all the items.

1.25 + .50 + 3.95

= 5.70

To find 10% of 5.70, change the percent to a decimal and multiply.

10% is .10

5.70 × .10 = .57

The tax is 57 cents. This can be written as $0.57



Quick Please

(order from least to greatest)
please and thank you

Answers

Answer:

√(3 , √(π , 2

Step-by-step explanation:

ascending order

Instructions: Given the coordinate points of the preimage, use the transformation given
to provide the points of the image.

Answers

The rotation about 90 degrees clockwise from the origin would give H'( -2, 3) , I' (1 , -1) and J' (-4, 0)

How to determine the coordinates

Note that rotation about in clockwise 90 degrees direction when M(h , k) rotated about the origin, the new rotation coordinates would be in the form M' (k , -h)

Coordinates of the preimage were given as;

H ( -3, -2)

I ( 1, 1 )

J ( 0, -4)

The coordinates after a 90 degrees rotation about the origin, would be

For H ( -3, -2)

h = - (-3) = 3

k = -2

H' = ( -2, 3)

For I ( 1, 1)

h = - (1) = -1

k = 1

I' = ( 1, -1)

For J ( 0, -4)

h = - (0) = 0

k = -4

J' = ( -4, 0 )

Thus, the rotation about 90 degrees clockwise from the origin would give H'( -2, 3) , I' (1 , -1) and J' (-4, 0)

Learn more about transformation here:

https://brainly.com/question/4289712

#SPJ1

FIRST CORRECT ANSWER WILL GET BRAINLIEST

Answers

Answer:

They are parallel.

Step-by-step explanation:

They have the same slope, 7, and different y-intercepts, 4, -1/4, so they are parallel.

Use a model to solve six multiplied by seven eighths. Leave your answer as an improper fraction.

A. forty two forty eighths

B. thirteen eighths

C. thirteen fourteenths

D. forty two eighths

Answers

Let's see

seven eighths means 7/8

So

6(7/8)42/821/4

Forty two eighths

Write the equation of the line that has a slope of -2 and passes through (-4, -5)

Answers

Answer: [tex]y+5=-2(x+4)[/tex]

Step-by-step explanation:

See attached image.

A golfer’s arm rotates 1/2 of a revolution in 1/10 of a second. If the angular displacement is measured in radians, which statements are true?

Answers

Based on the calculations, the true statements are:

A. The angular velocity is 10π rad/sec.

E. The angular velocity is 600π rad/min.

How to calculate the angular velocity?

Mathematically, angular velocity can be calculated by using this formula:

ω = θ/t

Where:

ω is the angular velocity.θ is the angle.t is the time.

Note: 1/2 revolution = 0.5 × 2π = π radians.

Substituting the given parameters into the formula, we have;

ω = θ/t

ω = π/0.1

ω = 10π rad/s.

Next, we would convert the time in seconds to minutes:

ω = 10π × 60

ω = 600π rad/min.

Read more on angular velocity here: https://brainly.com/question/6860269

#SPJ1

Complete Question:

A golfer’s arm rotates 1/2 of a revolution in 1/10 of a second. If the angular displacement is measured in radians, which statements are true? Check all that apply.

A. The angular velocity is 10π rad/sec.

B. The angular velocity is 10π rad/min.

C. The angular velocity is 60π rad/min.

D. The angular velocity is 600π rad/sec.

E. The angular velocity is 600π rad/min.

Answer:

A,

Step-by-step explanation:

Edge202

What is the recursive formula for the geometric sequence with this explicit
formula?

Answers

The recursive formula for the geometric sequence is given as follows:

D.

[tex]a_1 = 9[/tex].[tex]a_n = a_{n-1} \times \left(-\frac{1}{3}\right)[/tex]

What is a geometric sequence?

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

With a recursive formula, it is given by:

[tex]a_n = a_{n-1} \times q[/tex]

For this problem, the first term and the common ratio are:

[tex]a_1 = 9, q = -\frac{1}{3}[/tex]

Then the recursive formula is:

D.

[tex]a_1 = 9[/tex].[tex]a_n = a_{n-1} \times \left(-\frac{1}{3}\right)[/tex]

More can be learned about geometric sequences at https://brainly.com/question/11847927

#SPJ1

Q.3. The slope of line is ¾ and the y - intercept is equal to 4 . Write the equation of the line and draw the graph of the line.

help me now!!

Answers

The equation of line with the given slope and y-intercept is y = (3/4)x + 4.

What is the equation of the line?

Given that;

Slope = 3/4y-intercept b = 4Equation of the line y = ?

We use the formula for equation of line to determine the equation.

y = mx + b

Where m is the slope and b is the y-intercept.

We plug in our values

y = mx + b

y = (3/4)x + 4

Therefore, the equation of line with the given slope and y-intercept is y = (3/4)x + 4.

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

#SPJ1

The range, a measure of variability, Group of answer choices is the difference between the largest (L) and smallest (S) value in a list of scores is the most informative when used to describe data sets without outliers includes only two values in its computation, regardless of the number of scores in a distribution all of the above

Answers

The correct answer is all of the above.

Why is the range the most convenient measure of variability?

Your data's spread from the lowest to the greatest value in the distribution is indicated by the range. The calculation of this variability index is the simplest. Simply subtract the lowest value from the highest value in the data set to determine the range.

How do you find the range?

The difference between the lowest and highest values in a list or set is known as the range. Put all the numbers in order before determining the range. The lowest number should then be subtracted from the highest. The range of the list is provided in the response.

Learn more about range

brainly.com/question/2114456

#SPJ4

There are 5 different families of triplets at a triplets convention. Each triplet shook hands with all the other triplets, except his or her siblings. How many handshakes took place?

Answers

There is a total of 90 handshakes.

How many handshakes took place?

There are 5 sets of triplets.

If we select one of the sets, each of the triplets will have one handshake with the other 12 people. So we have 36 handshakes at this point.

Now we only care for the other 4 sets.

We select one set again, each triple on that set will have one handshake with the other 9 people, so for the 3 triplets, we have a total of 27 new handshakes.

For the remaining 3 sets we do the same, this time we add 18 handshakes.

Finally, there are 2 sets of triplets, this time we add 9 new handshakes.

To get the total number of handshakes we need to add them all:

36 + 27 + 18 + 9 = 90

There is a total of 90 handshakes.

If you want to learn more about additions:

https://brainly.com/question/25421984

#SPJ1

A researcher randomly assigns participants to complete a crossword puzzle with or without music. The time it takes to complete the crossword puzzle is compared between groups. The experimental group in this example is:

Answers

Answer:

The music group

Step-by-step explanation:

The experiment group is the group where something is being modified, so the music group is the one having their environment modified.

1. Find the Principal when S.l. = 100 Rate = 5% per annum Time = 2 years.​

Answers

The principal is 1000

SI = PRT/100

Simple interest = 100

Rate = 5%

Time = 2 years.

SI = PRT/100

100 = (P × 5 × 2)/100

10000 = 10P

P = 10000/10

P = 1000

Other Questions
let a be the leg of a 45 - 45- 90 true/false. cost center managers are evaluated on their success in controlling actual costs compared to budgeted cost We are intrested in when the first sux will occur fir tge repeated tolls of balanced die what is the populaton mean Tiles numbered 1-6 are each placed randomly into one of three different boxes. What is the probability that each box contains 2 tiles? Express your answer as a common fraction. what is the third step made in constructing an angle that has congruent to another angle? Let F1 = M1+N1j+P1k and F2 = M2i+N2j+P2k be differentiable vector fields and let a and b be arbitrary al constants Verify the following identities. a. V+(aF1+bF2)=aV+F1+bV+F2b. V x (aF1+bF2)=aV x F1 + bV x F2C. V+(F1xF2)=F2+ V x F1 - F1 + V x F2 we all learn values from sources such as family, religion, and school. why might these sources of individual values not prove very helpful when making complex business decisions? use a triple integral to compute the volume of the pyramid with vertices (0,0,0), (12,0,0), (12,12,0), (0,12,0), and (0,0,24). Starting with element X below, assume that the following three decays occur in sequence: 48 beta-plus decay 1st 2nd - gamma 3rd alpha decay What is the final Nucleus (atomic mass and atomic number) after the three decays? Final A = Final Z = Grammar/Mechanics Checkup 11: Other Punctuation The following questions will test your knowledge of semicolons, colons, apostrophes, and other punctuation. Please answer the questions to review what you have just learned. Choose the correct punctuation to complete the following sentences. Our team is planning to take a long weekend in Chicago after our semiannual sales meeting ____ Kate won't be able to join us. The consultant recommended that she read an article titled "Opening Your Mind to Change." - The consultant recommended that she read an article titled Opening Your Mind to Change. - The consultant recommended that she read an article titled "Opening Your Mind to Change."Its his book from 83 when he was in second grade- Its his book from 1983 when he was in second grade.- It's his book from '83 when he was in second grade.- It's his book from 83, when he was in second grade. Choose the best option to answer the question. For what purpose(s) are periods generally used? - To end statements and polite requests - To end statements, commands, and requests - To end statements, commands, indirect questions, and polite requests Why would you use an apostrophe s (that is, 's), as in "the one receptionist's lunch break"?- To show ownership with nouns that do not end in s- To show possession when a noun precedes a gerund - To show ownership in nouns that end with an s sound Write a function equivs of the type ('a -> 'a -> bool) -> 'a list -> 'a list list, which par- (10) titions a list into equivalence classes according to the equivalence function. bondholders never have any control over the actions of a firm.a. trueb. false Enhancers are cis-acting regulatory DNA sequences. What are enlicers and what is meant by "cis-acting? Select the 2 statements that apply. - Enhancers are sections of DNA that inhibit binding of transcription factors to DNA. - Enhancers are sections of DNA that activate transcription of other sections of DNA on the chromosome. - Cis-acting means that the genes under control must be on another chromosome, not where the cis-acting element is. - Cis-acting means that the genes under control must be on the same chromosome as the cis-acting element through a balanced equation of combustion, calculate the oxygen balance of ammonium nitrate what is the coordination number around the central metal atom in dichlorobis(ethylenediamine)platinum(iv) chloride ([pt(en)(cl)]cl, en = hnchchnh)? Consider the following information:State of EconomyProbability ofState of EconomyPortfolio ReturnIf State OccursRecession.16.10Normal.52.12Boom.32.32Calculate the expected return. (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)Expected return% big corporation advertises that its light bulbs have a mean lifetime, u, of 3200 hours. suppose we have good reason to believe that u is different from 3200 hours State the similarities between the last stages in the process for generation of electricity that results in actual current flowing through wires in HydroElectric, Bicycle Dynamo, Wind and magnetic. URGENT PLEASE HELP1 . What is a genetic bottleneck?2 . What were the causes of the cheetah population bottleneck?3 . What are the dangers of a population with minimal genetic diversity? 4 . What are some scientific investigations conducted that confirm the lack of genetic variation in the cheetah gene pool? 5 . What current threats are pushing cheetahs on the brink of extinction? Part 2: Research: Find an example of one other species population that has experienced a bottleneck. Write a paragraph in the table below that explains what happened, the species' status now, and if/what is being done to protect them. How much does water was in the cylinder before any marbles were dropped in?