The gallons of water used to take a shower varies directly with the number of minutes in the shower. If a 6 minute shower uses 36 gallons of water, what is the constant of variation?

9514 1404 393

Answer:

  first jet is steeper; not unreasonable

Step-by-step explanation:

The slopes in feet per mile for the two jets are ...

  (26,400 ft)/(96 mi) = 275 ft/mi

  (31,680 ft)/(120 mi) = 264 ft/mi

The descent of the first jet is steeper.

__

The path a jet will follow depends on a number of factors, including weather and other air traffic. It is not unreasonable for a jet to follow a linear glide path to an airport from these altitudes and distances. JFK is sufficiently busy that air traffic control may dictate other-than-linear descent paths.

Final approach is typically done on a 3° glide slope, about 277 ft descent per mile.

_____

Additional comment

Studies have been done to test the feasibility of linear descent paths into some of the busiest airports in the world. The conclusion is that fuel burn could be improved and air traffic management made simpler by such flight paths. However, current jet autopilots are not equipped for direct input of such flight routes. Pilot workload would be slightly increased until software could be updated. There appears to be no current plan to change the way terminal area control is done.

Answer:     y = 734x + 350

Step-by-step explanation:

y = mx +  b

let x be the number of cars he sells, then:

y = 734x + 350

Answer:

The sin A expressed in ratio form is [tex]\frac{\sqrt{6} }{4}[/tex]

Step-by-step explanation:

From the given right angled triangle diagram, sin A is calculated as follows;

[tex]sin \ A = \frac{Opp}{hypo} \\\\sin \ A = \frac{2\sqrt{6} }{8} \\\\sin \ A = \frac{\sqrt{6} }{4}[/tex]

Therefore, the sin A expressed in ratio form is [tex]\frac{\sqrt{6} }{4}[/tex]

Answer:

Triangle A

Step-by-step explanation:

Because in the picture it shows the grid and if you look closely you can see the points on the x and y axis, (3,2) (4,7) and (5,6) are the three points formed to make triangle A.

Answer:

it is 15.6ft because you need to add 7.8+7.8= 15.6ft

Answer:

1 = Communative property of addition

2 = distribution property

3 = Associative property of multiplacation

4 = Communative property of multiplacation

5 = Associative property of addition

Hope this helps! :) Please Ignore my bad spelling

Also, if you think this explanation is good, please mark it brainliest! It would help a lot! Thanks!

Answer:

Step-by-step explanation:

The first one is a wide U above the X axis.

The second one is an upside down U below the X axis.

The third one is a narrow U above the X axis.

The center of the U should always be the origin.

Answer:

Step-by-step explanation:

Answer:

750 of 100,000 chips would be expected to be defective.

Step-by-step explanation:

(3/400) and (?/100,000)

100,000 ÷ 400 = 250.

Multiply 250 by 3 to find the number of defective chips.

250 x 3 = 750.

Answer:

5/21

Step-by-step explanation:

i mutiplyed

Answer: 35%

Step-by-step explanation:

Given

Weight measured by Leo [tex]W_1=27\ pounds[/tex]

Weight measured by the clerk [tex]W_2=20\ pounds[/tex]

Percentage error is

[tex]\Rightarrow \%\ \text{error}=\dfrac{\text{False value}-\text{Correct value}}{\text{Correct value}}\times 100[/tex]

Putting values

[tex]\Rightarrow \%\ \text{error}=\dfrac{27-20}{20}\times 100=35\%[/tex]

Answer:

p(e)=e-3

Step-by-step explanation:

De acuerdo a la información proporcionada, sabes que Paul tenía una determinada cantidad e y al comprar el libro recibió 3 de vuelto, lo que significa que el precio del libro sería igual a restar 3 de la cantidad que tenía al inicio, lo cual se puede expresar de la siguiente forma:

p(e)=e-3, donde

p es el precio del libro

e es la cantidad que Paul tenía al inicio

Answer:

Step-by-step explanation:

Answer:

x=5, y=7

Step-by-step explanation:

2x+4y= 38

+7x-4y= 7

9x= 45

9x/9= 45/9

x=5

2x+4y=38

2(5)+4y= 38

10+4y= 38

-10 -10

4y= 28

4y/4= 28/4

y=7

Answer: False. When multiplying or dividing by an negative inequality you flip the sign.

Step-by-step explanation:

Answer:

it is C

Step-by-step explanation:

Answer:

(10^11)/3

10^6 x 10^5 = 10^11

8/5 x 5/24 = 1/3

so multiply 10^11 and 1/3 together

Answer:

A=4

B=3

C=2

D=1

Step-by-step explanation:

Answer:

n umber 3 is b and 4 is d

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

3 31/36 inches

Step-by-step explanation:

11 1/9 = 100/9

7 1/4 = 29/4

100/9 = 400/36

29/4 = 261/36

400/36 - 261/36 = 139/36

139/36 = 3 31/36

Answer:

108 cm^2

Step-by-step explanation:

This solid is a triangular prism.

The total surface area is made up of the area of 5 faces.

The front and rear faces are called the bases and are two congruent triangles.

The other three faces are three rectangles and form the lateral area.

SA = area of bases + lateral area

The area of the bases is 2 times the area of a triangle.

The lateral area is the sum of the area of the three lateral faces, 3 rectangles, and is also the product of the perimeter of the base and the height of the prism.

SA = 2 * bh/2 + PH

where

b = base of triangular base,

h = height if triangular base,

P = perimeter of the base, and

H = height of the prism

SA = 2 * (3 cm)(4 cm)/2 + (3 cm + 4 cm + 5 cm) * (8 cm)

SA = 12 cm^2 + 96 cm^2

SA = 108 cm^2

Answer:

5.86cm²

Step-by-step explanation:

Area of the shaded region = Area of the rectangle - Area of the circle

Area of rectangle = Length * Width

Area of rectangle = 3cm * 3cm

Area of rectangle = 9cm²

Area of the circle = πr²

Given radius r = 1cm

Area of the circle = 3.14(1)²

Area of the circle = 3.14cm²

Area of the shaded region = 9 - 3.14

Area of the shaded region = 5.86cm²

Answer:

5.86cm²

Step-by-step explanation:

Area of the shaded region = Area of the rectangle - Area of the circle

Area of rectangle = Length * Width

Area of rectangle = 3cm * 3cm

Area of rectangle = 9cm²

Area of the circle = πr²

Given radius r = 1cm

Area of the circle = 3.14(1)²

Area of the circle = 3.14cm²

Area of the shaded region = 9 - 3.14

Area of the shaded region = 5.86cm²

Answer:

C

Step-by-step explanation:

250 represent the amount of money that they started off with

1.05 represent how much the money in the account is increasing by

and x represent the amount of months that have passed

Answer:

A. 4

B. 348

C. 2

D. 174182400

E. x = 2

Step-by-step explanation:

Given - A= (4ǃ+2ǃ+3ǃ)/(3ǃ+2ǃ)

             B = (6ǃ-4ǃ)/2ǃ

             C = 2ǃx3ǃx4ǃ/(5ǃ+4ǃ)

             D = 10ǃx8ǃ/(6ǃ+5ǃ)

             E -  ((x+5)ǃ(x+3)ǃ)/((x+4)ǃ+(x+3)ǃ)=6ǃ

Proof -

A.

(4! + 2! + 3! )/ (3! + 2!) = [4×3×2! + 2! + 3×2!] / [3×2! + 2!]

                                  = 2! [ 4×3 + 1 + 3] / 2! [3 + 1]

                                  = [12 + 1 + 3] / [4]

                                  = [16] / [4] = 4

⇒(4! + 2! + 3! )/ (3! + 2!) = 4

B.

(6ǃ-4ǃ)/2ǃ = [6×5×4! - 4!] / 2!

              = 4! [6×5 - 1] / 2!

              = 4×3×2! [ 30 - 1] / 2!

              = 12 [29] = 348

⇒(6ǃ-4ǃ)/2ǃ = 348

C.

2ǃx3ǃx4ǃ/(5ǃ+4ǃ) = 2!×3!×4! / [ 5×4! + 4!]

                         = 2!×3!×4! / 4! [ 5 + 1]

                         = (2×1) × (3×2×1) / 6

                         = 12 / 6 = 2

⇒2ǃx3ǃx4ǃ/(5ǃ+4ǃ) = 2

D.

10ǃx8ǃ/(6ǃ+5ǃ) = 10!×8! / [ 6×5! + 5!]

                      = (10×9×8×7×6×5×4×3×2×1) ×(8×7×6×5!) / 5! [6 + 1]

                      = (10×9×8×7×6×5×4×3×2×1) ×(8×7×6) / [7]

                      = (10×9×8×7×6×5×4×3×2×1) ×(8×6)

                      = 174182400

⇒10ǃx8ǃ/(6ǃ+5ǃ) = 174182400

E.

((x+5)ǃ(x+3)ǃ)/((x+4)ǃ+(x+3)ǃ)=6ǃ

[(x+5)(x+4)(x+3)! (x+3)!] / [ (x+4)(x+3)! + (x+3)! ] = 6!

[(x+5)(x+4)(x+3)! (x+3)!] / (x+3)!  [ (x+4)+ 1] = 6!

[(x+5)(x+4)(x+3)! / (  [ x+ 5 ] = 6!

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

(x+4)! = 6!

x+ 4 = 6

x = 6 - 4

x = 2

Note :

x! = x(x-1)(x-2).......(4)(3)(2)(1)

Answer:

12

Step-by-step explanation:

12*6.5=78

44-12=32

32*4=128

128+78=206

Answer:

The answer is 45

Step-by-step explanation:

First, you find what is half of 30 by dividing 30 by 2

30/2 = 15

Then you add 15 to 30 since you have to increase it by 1/2

30 + 15 = 45

I hope this helped and have a great day!

Answer:

Step-by-step explanation:

Answ

Naäamlaa. in faDlik. shukran. äafwan. aläafw. arjuu almaädhirasabaaH alkhayr.