It would take 150 minutes to fill a swimming pool using 5 taps.
a) How many minutes will it take to fill the pool if only 3 of the taps are used?

Complete the following.
b) An assumption being made in my working is that all the taps are flowing at the same time.

Answers

Answer 1

Answer:

  250 minutes

Step-by-step explanation:

a) Assuming all taps flow at the same rate, the time is inversely proportional to the number of taps. Using 3/5 of the total taps will take 5/3 of the time required when all taps are used.

For 3 taps, the time is ...

  (5/3)(150 minutes) = 250 minutes

__

b) An assumption being made in my working is that all the taps are flowing at the same rate.

Answer 2

a) It will take 250 minutes to fill the pool using 3 taps.  B) The assumption being made here is that all the taps are flowing at the same rate r and that they are all turned on at the same time, working in parallel to fill the pool.

 

Let's denote the rate at which each tap fills the pool as r liters per minute.

With 5 taps working together, it takes 150 minutes to fill the pool. Therefore, the combined rate of 5 taps is [tex]\( \frac{1}{150} \)[/tex]  of the pool per minute. We can express this as:

[tex]\[ 5r = \frac{1}{150} \][/tex]

 Now, we want to find out how long it will take to fill the pool using only 3 taps.

The combined rate of 3 taps will be 3r.

To find the time t it takes for 3 taps to fill the pool, we set up the equation:

[tex]\[ 3r = \frac{1}{t} \][/tex]

We can solve for r using the first equation:

[tex]\[ r = \frac{1}{5 \times 150} \][/tex]

Substituting this value into the second equation gives us:

[tex]\[ 3 \times \frac{1}{5 \times 150} = \frac{1}{t} \][/tex]

Solving for t

[tex]\[ t = \frac{1}{3 \times \frac{1}{5 \times 150}} \][/tex]

t = 250

 So, it will take 250 minutes to fill the pool using 3 taps.

b) The assumption being made here is that all the taps are flowing at the same rate r and that they are all turned on at the same time, working in parallel to fill the pool.

This implies that the flow rate of each tap does not change regardless of how many taps are being used simultaneously, and that there are no other factors (like water pressure changes) affecting the flow rate when fewer taps are used.


Related Questions

nelson scores 27 out of 40 in a history test. workout his score as a percentage.​

Answers

Answer:

Step-by-step explanation:

25

Answer:

27             X

__    =      __

40           100

cross multiply divide. meaning 27*100 = 40*X. -> 2700 = 40*X. also meaning the answer is 2700 divided by 40 = X.

plug 2700/40 into a calculator. answer 67.5%

Step-by-step explanation:

Which equation can be used to find the volume of this solid? A triangular prism. The triangular base has a base of 11 inches and height of 7 inches. The height is 9 inches. V = 11 times 9 times 7 V = 11 + 9 + 7

Answers

Answer:

V = 11 times 9 times 7

Step-by-step explanation:

To answer this question, a dimensional analysis must be done.

The volume has cube length as a unit, that is, l ^ 3

We analyze each option

V = base * height * height

ignoring what each one means, we know that each one is measured in length therefore:

V = L * L * L = L ^ 3 that is to say that in this way the volume can be found.

The other way is:

V = base + height + height

If we replace, we have to:

V = L + L + L = L, and the volume does not have units of length, therefore this option is not viable.

Which means that the option of V = 11 times 9 times 7 is correct.

I must mention, that the true way to calculate the volume in this case would be:

V = Base area * height

V = (base + height / 2) * height

what is this multiplacation?

Answers

Answer:

2 5/18

Step-by-step explanation:

multiply across.

Answer:

improper fraction is 77/18 mixed number form 4 5/18 decimal form 4.27 thank me later

Step-by-step explanation:

What is the difference of the rational expressions below?

Answers

Answer: A

Step-by-step explanation:

We need to get the denominators to be same first before we can do anything to the numerator.

The LCD (lowest common denominator) is [tex]3x^{3}[/tex]. To find the LCD, multiply the denominators together: [tex]x^{3}[/tex] · [tex]3x[/tex] = [tex]3x^{3[/tex].

Below, we are trying to get the denominators to equal the same or to [tex]3x^{3}[/tex].

[tex]\frac{3}{3} (\frac{4}{x^{3} } ) - \frac{x^{2} }{x^{2} } (\frac{2x-1}{3x} )[/tex]

[tex]\frac{12}{3x^{3} } - \frac{2x^{3}-x^{2} }{3x^{3} }[/tex]

Now that the denominators are the same, we can subtract the numerators from each other.

[tex]\frac{ 12 - (2x^{3} -x^{2})\\}{3x^{3} } \\[/tex]

[tex]\frac{12-2x^{3} +x^{2} }{3x^{3} }[/tex]

Now, we can just reorganize the variables.

Answer:  A or [tex]\frac{-2x^{3} + x^{2}+12 }{3x^{3} }[/tex]

Evaluate the expression 5 exponent 2

Answers

Answer:

25

Step-by-step explanation:

5^2

This means multiply 5 two times

5*5

25

c^2=4? Anyone want to help?

Answers

Answer: c=2

Step-by-step explanation: the square root of c^2 equals the squae root of 4 which is 2 so your left with c=2

40 - 5n = -2 need explanation as well

Answers

Answer: n = 8.4

Step-by-step explanation:

40 - 5n = -2

First, subtract 40 from each side of the equation

-5n = -42

Then, divide each side by -5

n = 8.4

The -5 and -42 cancel each other out when dividing, so n = 8.4 is positive.

Answer:

n=8.4

Step-by-step explanation:

To solve, we need to isolate the variable, n

40 -5n =-2

Subtract 40 from both sides

40-40-5n= -2 -40

-5n= -42

Divide both sides by -5

-5n/-5=-42/-5

n=42/5

n=8.4

Evaluate the expression (2a)3

Answers

The answer is 8a^3
Hope this will help u

Final answer:

To evaluate the expression (2a)³, we cube the numeric term, resulting in 8, and multiply the exponent of the variable 'a' by 3, which gives us the final result of 8a³.

Explanation:

The expression given, (2a)³, requires us to cubing of exponentials. Cubing in mathematics involves raising a number or expression to the third power. In this case, the number 2 and the variable a are multiplied together first, and then that result is raised to the power of three. To evaluate this expression, you would do the following steps:

Cube the digit term in the usual way, which is 2 cubed or 23, which equals 8.Multiply the exponent of the exponential term by 3. Since the original expression has the variable 'a' to the first power, multiplying the exponent by 3 means 'a' will now have an exponent of 3.

Combining these results, the expression (2a)³ becomes 8a³.

Aiden put two-fifths of his Money into his piggy bank. He had $15 left in his pocket to buy a toy. How much money did aiden have before he put some into his bank?

Answers

Answer:25

Step-by-step explanation:

15x 2/5=25

Answer:

$37.50

Step-by-step explanation:

[tex]\frac{2}{5}[/tex] of Aiden's money is $15. Half of [tex]\frac{2}{5}[/tex] is [tex]\frac{1}{5}[/tex], so you have to find half of $15 to find out what [tex]\frac{1}{5}[/tex] of Aiden's money is.

15/2 = 7.5. [tex]\frac{1}{5}[/tex] of Aiden's money is $7.50.

7.5 × 5 = 37.5, so Aiden had $37.50 before he put some into his piggy bank.

In order to answer the question correctly, please use the following image below:

Describe the error in finding the angle measure.

Find the correct angle measure.

m∠SUT=(blank)

What is the error in finding the angle measure? What is the correct angle measurement of SUT?

Please show all the work on how you got your answers.(Note: If you are unable to explain your work then it's fine. All that I am asking for is for the work to be shown so I can see how you got your answers)

Answers

Answer:

  see below

Step-by-step explanation:

The angle where chords cross is the average of the intercepted arcs. Here, that is ...

  (37° +46°)/2 = (83°)/2 = 41.5°

Angle SUT is 41.5°.

_____

Comment on the error

The measure of an arc cannot be arbitrarily said to be the same as the angle where the chords cross. It will be the same if (a) the chords cross at the circle center, or (b) the opposite intercepted arc has the same measure. Neither of these conditions hold here.

Answer:

1) A

2) 41.5°

Step-by-step explanation:

SUT would have been 46° if U was the centre

Angle SUT = (37+46)/2

= 83/2

= 41.5

What is the volume of a cube with a side length that measures 112 ft?

Answers

Answer:

1,404,928 is the volume of a cube with a side length that measures 112 ft

Answer:

1,404,928 is the volume

A group of finance managers at a car dealership estimates thatt 23% of all cars purchased last year were leases.If a sample of 800 cars sold last year obtained, what is the that more than 208 cars are going to be leased? Draw and label the appropriate curve. Your work must include caculator commands

Answers

Answer:

p = 0.52392

Step-by-step explanation:

Here we have

p = 23% = 0.23

[tex]\hat p[/tex] = 208/800 = 0.26

n = 800

q = 1-p = 0.77

α = 5% = 0.05

Here we have

Z test given by

[tex]z=\frac{\hat{p}-p}{\sqrt{\frac{pq}{n}}}[/tex]

From which we have

From the Cpdf we have Probability = 0.0219, z = 2.016

Therefore from the z score = 0.0683, p = 0.52392 from z table.

Figure A is a scale image of Figure B.

What is the value of x?

Answers

Answer:

5

Step-by-step explanation:

You see if A is a scale representation of B then 2cm rep 5cm.

thereby, We can say that 1cm rep 2.5cm in the scale.

1cm rep 2.4cm

=12.5cm

12.5 ×1\2.4 =5cm

x=5cm

At Central High School, 85% of all senior girls attended and 65% of all senior boys attended the Spring Dance. Of all attendees, 20% won a prize. A. Assuming that the number of senior girls at Central High School is about equal to the number of senior boys, estimate the probability that a randomly selected senior won a prize at the dance. Explain. Enter your answer. B. Construct Arguments If you knew whether the selected student was a boy or a girl, would your estimate change

Answers

Answer:

a) 0.30 (30%)

b) Boy: 0.13 (13%) , Girl : 0.17 (17%)

Step-by-step explanation:

Given:-

- The probability of senior girls attend spring dance, P(GA) = 0.85

- The probability of senior boys attend spring dance, P(BA) = 0.65

- The probability that an attendee wins a prize, P(W) = 0.20

Find:-

Estimate the probability that a randomly selected senior won a prize at the dance.

Construct Arguments If you knew whether the selected student was a boy or a girl, would your estimate change

Solution:-

- First realize that the probability for any senior student to attends the spring dance and winning a prize are independent events.

- So for independent events, the probability that a "girl or a boy" attends the spring dance and wins a prize can be determined:

              P ( GA & W ) = P(GA)*P(W) = 0.85*0.20 = 0.17 (17%)

              P ( BA & W ) = P(BA)*P(W) = 0.65*0.20 = 0.13 (13%)

              P ( (BA & W) U (GA & W) ) = P ( BA & W ) + P ( GA & W )

                                                         = 0.17 + 0.13

              Answer                             = 0.3 (30%)

- So the estimate probability that a randomly selected senior won a prize at the dance is 0.3 or 30% of all attendee.

- If the randomly selected senior was a girl would be the proportion of people who won the prize.

            P ( GA & W ) = 0.17 (17%)

- Similarly, If the randomly selected senior was a boy would be the proportion of people who won the prize.

            P ( BA & W ) = 0.13 (13%)                        

Answer:

a) 30%

b) the estimate wouldnt change as far as the probabilities is been maintained. thre can only be a shift in the gender probability depending on whether there are more number of boys or girls.

Step-by-step explanation:

a) Prob( all senior girl attended) = 85%

    Prob ( all senior boy attended) = 65%

    Prob( won a price)  = 20%

Prob( a senior girl attends and win a price) = 85% x 20%

           = 17%

Prob ( a senior boy attends and win a price) = 65% x 20%

           = 13%

Prob( a senior won a price)  = 17% + 13%

                = 30%

b)   The estimate wouldnt change as far as the probabilities is been maintained. thre can only be a shift in the gender probability depending on whether there are more number of boys or girls.

How many centimeters are in 2.37 meters???

Answers

Answer:

237 centimeters

Step-by-step explanation:

A foot = 30 centimeters

We know 1 meter or 1m is equivalent to around 3 feet. The exact measurement of a meter is 3.28 feet. So 1m = 100 centimeters because one foot equals 30 centimeters. .28 of a foot is 10 cm.

2 meter = 200 cm

.37 = 37 centimeters because each 0.01 in a meter = 1 cm. And there are 100 cm in a meter so we can accurately say 2.37 meters are 237 cm.

P.S

Have an Amazing Day! I Hope This Helps and Good Luck!

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Ethan and Layla work at a furniture store. Ethan is paid $235 per week plus 9.5% of his total sales in dollars, xx, which can be represented by g(x)=235+0.095xg(x)=235+0.095x. Layla is paid $53 per week plus 10.5% of her total sales in dollars, xx, which can be represented by f(x)=53+0.105xf(x)=53+0.105x. Determine the value of xx, in dollars, that will make their weekly pay the same.

Answers

Answer:

  $18,200

Step-by-step explanation:

We want ...

  f(x) = g(x)

  53 +.105x = 235 +.095x . . . . use given expressions

  .01x = 182 . . . . . . .  subtract 53+.095x

  x = 182/.01 = 18200 . . . . . divide by the coefficient of x

Each must sell $18,200 for their weekly pay to be the same.

Radiationâ machines, used to treatâ tumors, produce an intensity of radiation that varies inversely as the square of the distance from the machine. At 3â meters, the radiation intensity is 62.5 milliroentgens per hour. What is the intensity at a distance of 2.82.8 âmeters?

Answers

Answer:

71.75 milliroentgens per hour

Step-by-step explanation:

The  intensity(I) of Radiation varies inversely as the square of the distance (D) from the machine.

This is written as:

[tex]I \propto \frac{1}{D^2} \\$Introducing the constant of Variation k$\\I = \frac{k}{D^2} \\$When D=3 meters, I=62.5 milliroentgens per hour$\\62.5= \frac{k}{3^2}\\k=62.5 X 9 =562.5\\$Substituting K=562.5 into the variation equation$\\I = \dfrac{562.5}{D^2} \\$Therefore, When D=2.8 meters$\\Intensity,I = \dfrac{562.5}{2.8^2}=$71.75 milliroentgens per hour$[/tex]

Describe the effect f(1/4x) will have on the function f(x) = x2. The vertical coordinates will increase their distance from the x-axis by a factor of 4. The vertical coordinates will decrease their distance from the x-axis by a factor of 4. The horizontal coordinates will increase their distance from the y-axis by a factor of 4. The horizontal coordinates will decrease their distance from the y-axis by a factor of 4.

Answers

Answer:

It is c

Step-by-step explanation:

In the figure below, ∠APE and ∠EPD are congruent.
What is the arc measure of AC on circle P in degrees?

Answers

Answer:

P = 54 so

arc AC = 150

Step-by-step explanation:

The measure of AC on circle P in degrees is 118degrees

To get the measure of the arc AC on the circle, we will use the formula for calculating the angle at a point.

The sum of the angle at a point is 360 degrees, hence:

arc AB + arcBC + arcCD + arc DE + arcEA = 360

If ∠APE and ∠EPD are congruent, this means that arc DE = arcEA. The equation becomes:

arc AB + arcBC + arcCD + arc DE + arcDE = 360

Substitute the given angles into the expression:

arc AB + arcBC + arcCD +2arcDE = 360

126 + 74 + 42 + 2arcDE = 360

242  + 2arcDE = 360

2arcDE = 360 - 242

2arcDE = 118

arcDE = 118/2

arcDE = 59

arcAC = 2(arcDE)

arcAC = 2(59)

arcAC = 118 degrees

Hence the measure of AC on circle P in degrees is 118degrees

Learn more here: https://brainly.com/question/24356953

Find the number of strings of six lowercase letters from the English alphabet, which satisfies the given conditions. Six lowercase letters contain the letters a and b in consecutive positions with a preceding b, with all the letters distinct.

Answers

Answer:

The answer is 1,275,120

Step-by-step explanation:

The goal of this is to determine the number of strings of strings of six lowercase letters from the English alphabet that contain the letters a and b in positions consecutive with a preceding b, with all the letters distinct.

Now,

As the letters  a and b are consecutive, the possible string outcomes are in this form:

ab_ _ _ _

_ab_ _ _

_ _ab_ _

_ _ _ ab_

_ _ _ _ ab

As seen here, ab can denoted in five locations as in C (5, 1) = 5 ways

we use the permutation for the order of the letters to be needed.

so,

n= 24, r =4

p (24, 4) = 24ǃ /( 24 - 4)ǃ

= 24ǃ /20ǃ

=255,024

Now, the number of possible strings is 5* 255.024 = 1,275,120.

In conclusion there are 1,275,120 number of strings of six lowercase letters from the English alphabet contain the letters a and b in consecutive positions with a preceding b, with all the letters distinct.

To multiply two fractions, multiply the numerator by the

Answers

Answer:

Other numerator.

Answer:

multipy the numerator by the other numerator

Narancia out~!

Hii help I to lazy to do it

Answers

Answer:

3 cans

Step-by-step explanation:

We need to find the area of the deck

A = 9 1/9 * 3

Changing to an improper fraction

9 1/9 = (9*9+1)/9 = 82/9

A = 82/9 *3 = 82/3

Changing back to  a mixed number

82/3 = 27  1/3

Each can covers 10 m^2

We will need 3 cans

Answer:

3 cans

Step-by-step explanation:

3*9 1/9=27.3 meters^2

the closest  number of cans for 27.3 meters^2 is 3 because

1 can=10 meters^2

2 cans=20 meters^2

3 cans=30 meters^2

so by estimating 3 cans would be the closest compared to 20 and 10.

From a thin piece of cardboard 40 in. by 40 in., square corners are cut out so that the sides can be folded up to make a box. What dimensions will yield a box of maximum volume? What is the maximum volume? Round to the nearest tenth, if necessary.

Answers

Answer:

The maximum dimension for box will be side length as 26.667 inches and height will be 6.667 inches and volume will be 4741 cu inches.

Step-by-step explanation:

Given:

With dimensions as

40x40 square and sides are folded in square corners.

To Find:

Maximum volume that will yield and maximum dimension for box

Solution:

Consider, a box with 40 x 40 dimensions as follows and

let a x side length square corners are cut and folded up and a new figure is formed .and for that what will be the maximum volume and dimension.

Now,

as the there 2 corner for each side i.e. 2 square on side length

Resultant length will be 40-2x

So volume is given by ,

[tex]V=l^2*h[/tex]

[tex]=(40-2x)^2*x[/tex]

[tex]V=(40^2-2*2x*40+4x^2)*x[/tex]

[tex]V=(1600-160x+4x^2)*x[/tex]

[tex]V=4x^3-160x^2+1600x[/tex]

To get Maximum volume differentiate w.r.t 'x'

[tex]V'=12x^2-320x+1600[/tex]

[tex]V"=24x-320[/tex]

Now solve for x with help of quadratic equation we get ,

12x^2-320x+1600

=4(3x-20)(x-20)

Therefore ,

3x-20=0 or x-20=0

x=20/3 or x=20

x=16.666 or x=20

Now use this values in a 2nd derivative equation,

V"=24(6.667)-320)

V"=160-320

V"=-160 <0 ,................equation(1)[Here maximum volume will be presented]

For X=20

V"=24*20-320

V"=480-320

=160>0 ..................Equation(2)[here minimum volume will presented]

Comparing equation 1 and 2 we get ,

Take as x=20/3 as the folded square length as it is gives minimum value for 2nd derivative.

So

[tex]V=(40-2x)^2*x[/tex]

[tex]V=[40-2(20/3)]^2*20/3[/tex]

[tex]V=[40-40/3]^2*6.667[/tex]

=[tex][26.667]^2*6.667[/tex]

=4740.95

=[tex]4741 cu inches.[/tex]

So side lengths =40-2x=40-2*20/3

=40(1-1/3)

=40(2/3)

=26.667 inches

And the height will be x=20/3=6.667 inches.

I need to buy some cardboard to build a box 12 inches long, 8 inches wide and 10 inches high. How much cardboard is needed to build the box

Answers

You will need 592 square inches of cardboard to build the box.

To determine how much cardboard is needed to build the box, we calculate the surface area of the box.

The box has six faces: two of each dimension.

Calculating the area of each pair of faces:

Two faces of (12 in x 8 in):

2 x (12 x 8) = 2 x 96 = 192 square inches

Two faces of (12 in x 10 in):

2 x (12 x 10) = 2 x 120 = 240 square inches

Two faces of (8 in x 10 in):

2 x (8 x 10) = 2 x 80 = 160 square inches

Sum the areas of all faces:

192 + 240 + 160 = 592 square inches

12. A company charges $8 to make a pattern for an order of t-shirts and $11 for each t-shirt it produced from the pattern. The expression $11n + $8 represents the cost of n t-shirts with the same pattern. Find the total cost for 35 t-shirts with the same pattern.

Answers

Answer:

Total cost of t-shirts = $393

Step-by-step explanation:

A company charges a fixed rate of $8 for the printing of pattern on the whole order of t-shirts.

It also charges a variable rate of $11 for each t-shirt.

So the equation for the total cost of the t-shirts becomes,

Total cost of t-shirts = $8 + $11n

Where n is the number of t-shirts.

We are given n = 35 t-shirts

So the total cost of t-shirts are,

Total cost of t-shirts = $8 + $11(35)

Total cost of t-shirts = $8 + $385

Total cost of t-shirts = $393

find the zero of the polynomial
2x²+9x+4​

Answers

Answer:

x=-4 or x=-1/2=-0.500

Step-by-step explanation:

Answer:

x= -4 or x= -0.5

Step-by-step explanation:

use a quadratic formula calculator or graph it on desmos

together preston and horatio have 49 video games. horatio has 11 more then preston. how much does each person have

Answers

each person has about 19 each

all you have to do is 49-2=38

38 divided by 2 = 19

Answer:

Horatio has 30 video games and Preston has 19

Step-by-step explanation:

Set up an equation:

x = Games horatio has

Since theres two people we will give x the coefficient of 2

You get 11 from how much more horatio has

49 is the total

The Equation

49 = 2x + 11

Solve

49 = 2x + 11

-11        - 11

38 = 2x

19 = x

Preston has 19 video games and since horatio has 11 more horatio has 30 video games

Esther needs a bin for her hair bows. A yellow bin has a length of 11.4 inches, a width of 4.2 inches, and a height of LaTeX: \frac{8}{3}8 3 inches. A red bin has a length of 9 inches, a width of 5.45 inches and a height of LaTeX: \frac{11}{5}11 5 inches. What is the volume of the bin with the greatest volume? Explain your answer.

Answers

Answer:

Yellow Bin

Step-by-step explanation:

Yellow Bin

Length = 11.4 inches,

Width = 4.2 inches,

Height =  [tex]\frac{8}{3}[/tex]

Volume of the yellow bin=LWH[tex]=11.4 X 4.2 X \frac{8}{3}=127.68 \:cubic \:inches[/tex]

Red Bin

Length = 9 inches,

Width = 5.45 inches,

Height =  [tex]\frac{11}{5}[/tex]

Volume of the red bin=LWH[tex]=9X 5.45 X \frac{11}{5}=107.91 \:cubic \:inches[/tex]

The yellow bin has a greater volume since 127.68 is greater than 107.91.

Solve for x
-18x+21>-15 or 20x-13>27

Answers

Answer:

all value of x are equal

Step-by-step explanation:

50 pounds to 35 pounds

Answers

We have to find the percent of change :

50 pounds to 35 pounds

Original amount = 50 pound

New amount= 35 pounds

Since, New amount is less than the original amount,

this is a percentage of decrease.

Change in amount =35 -50  = -15 pound

percentage change= change of amount/original amount x 100

substitute the given values we have:

percentage change= -15/50 x 100

simplify:

percentage change= -30%

Therefore the decrease is 30%

Brainliest????

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Create a model or image of the atmosphere. Use a different color to indicate each layer and note a special feature of each. You can use an online presentation or drawing program, or construct a model out of styrofoam, poster board, blocks of wood or other materials. Provide a legend telling which layer each color represents. When you square six times a number, you get two more than the number. According to Aristotle, virtue is concerned with choice. A virtuous choice is always the choice of: a. The mean relative to us b. The mean equidistant between extremes, one and the same for all c. The average d. The greatest good for the greatest number Which statement best describes the interquartile range of this set of weights?{120 lb, 115 lb, 135 lb, 105 lb, 80 lb, 160 lb} the difference between the first and sixth elements of the set as it is written abovethe difference between the second and fifth elements of the set as it is written abovethe difference between the first and sixth elements of the set after it has been ordered from least to greatestthe difference between the second and fifth elements of the set after it has been ordered from least to greatest Pls help!!!!!!!!!!!!!!!! Can someone help me with this it's making no sense to me The Fibonacci sequence starts 1, 1, 2, 3, 5, 8, .. . . Each number in the se-quence (after the first two) is the sum of the previous two. Write a pro-gram that computes and outputs the nth Fibonacci number, where n is avalue entered by the user. I need help like now Please and thank you HELP HEL HELP HELP HELP HELP HELP HELP PLEASE Think about the different types of animals youve seen throughout your life. What characteristics do all of these animals share? A main difference between gravitational and electric forces is that electrical forces A baby weighs 132 ounces when born.The baby gained 60 ounces. How many pounds is the baby now? pLeAsE I NeEd HeLp David's gasoline station offers 4 cents off per gallon if the customer pays in cash and does not use a credit card. Past evidence indicates that 40% of all customers pay in cash. During a one-hour period, 15 customers buy gasoline at this station. (a) What is the probability that more than 8 and less than 12 customers pay in cash? NEED HELP ASAP!!!6. Wilsons 14 Points and the Treaty of Versailles proposed a League of Nations. What was the main hope for the League of Nations? 7. Japan invades Manchuria, Italy invades Ethiopia, and Hitler rearms Germany and also Czechoslovakia, Poland, Finland, Norway, Sweden, and Denmark with the hopes of conquering France and Great Britain. What does the League of Nations do in response to the growing threat of the Axis powers? 8. France built up fortifications along the French/German border in case Germany decided to invade France again. Germany invaded France anyway, the same way they did in WWI how? what is a strategy for generating a topic?a. interviewing b. color-codingc. loopingd. blueprinting finding the size of angle x on a straight line. 2 of the angles are 29 degree and 82 degrees Which statement is true about the relative areas of triangle ABC and triangle XYZ is true Five samples of a ferrous-type substance are to be used to determine if there is a difference between a laboratory chemical analysis and an X-ray fluorescence analysis of the iron content. Each sample was split into two sub-samples and the two types of analysis were applied. Following are the coded data showing the iron content analysis:SampleAnalysis 1 2 3 4 5X-rays 2.0 2.0 2.3 2.1 2.4Chemical 2.2 1.9 2.5 2.3 2.4Assuming that the populations are normal, test at the 0.05 level of signicance whether the two methods of analysis give, on the average, the same result. Ben and Roberto each own stores that sell video games. A) Bens Game World is having a sale on video games. The store is offering a sale pack of 4 video games for $43.80. What is the unit price of a video game in the sale pack? What would 7 games cost at Ben's Game World? B) Robertos Electronics is also having a sale on video games. The unit price of any video game at Robertos Electronics is 3/5 of the unit price of a video game in the sale pack at Bens Game World. How much would it cost a customer for 7 video games at Robertos Electronics? He played fretless electric bass guitar and joined Weather Report in 1976; known for his dazzling virtuosity and charismatic flair, he became a model for a new generation of aspiring bass players in the worlds of both jazz and rock music: