The sides of a square field are 24 meters. A sprinkler in the center of the field sprays a circular area with a diameter that corresponds to a side of the field. How much of the field is not reached by the sprinkler? Round your answer to the nearest hundredth. Use 3.14 for π.

Answer:

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Answer:

Step-by-step explanation:

Integrating each term with respect to x, we get:

            x^3          x^2

f(x) = 9--------- + 4------- - 4x + C

               3            2

We are told that if x = 0, f(x) = -7, and so C must equal - 7.  

The solution is

            x^3          x^2

f(x) = 9--------- + 4------- - 4x - 7,   or   f(x) = 3x^3 + 2x^2 - 4x - 7

               3            2

Answer:

Let the total number of pupil be x.

Given that,

Number of pupils that received a grade of 90=9

Percentage of pupil that receive a grade of 90=18%

So,

18% of x=9

18x/100=9

x=50

Hence, there are 50 pupils in the class.

Answer:

a) 19/20

b) 1/20

Step-by-step explanation:

a) calculate the fraction of the attendants time will be spent servicing cars

l / L > 0 =  Ц / [ Ц -  λ ] = 20 --- ( 1 )

Ц (service )  = 15 hour

∴ λ ( arrival rate )  = 14.25

P = λ / Ц  = 14.25 / 15 = 0.95 = 19/20

b) Fraction of potential customers lost

Ls = P / ( 1 - P )

where ; P = 19/20

Ls ( fraction of potential customers lost ) = 19/20 / ( 1 - 19/20 )  = 19

hence proportion of customers lost = 1 - 19/20 = 0.05 = 1/20

Answer:

87.5 square inches

Step-by-step explanation:

(For Diagram,Please Find in Attachment)

Given, in diagram of the belt Knuckle there are 4 Triangles (2 are of same dimensions & another 2 are of same dimensions) and a Rectangle .

Now For Area of belt Knucle, We have to First Calculate the area of 4 triangles and Area of Rectangle.

∴ Area of 2 Triangle with given dimensions ( height = 2.5 inches & base = 9 inches )

Area = 2×(1/2×b×h) ⇔ 2×(1/2×9×2.5)

Area= 22.5 square inches

∴ Area of another 2 triangle with given dimensions ( height = 5 inches & base = 4 inches )

Area = 2×(1/2×b×h) ⇔ 2×(1/2×4×5)

Area= 20 square inches

∴Area of Rectangle with given dimensions ( Length = 9 inches & Width = 5 inches )

Area= length × Width ⇔ 9×5 ⇒ 45 square inches

Now, Area of belt Knucle=Sum of Area of 4 Triangles + Area of Rectangle

Area of belt Knucle = 87.5 square inches

Answer:ʜᴛᴛᴘꜱ://ᴡᴡᴡ.ʏᴏᴜᴛᴜʙᴇ.ᴄᴏᴍ/ᴡᴀᴛᴄʜ?ᴠ=ᴅQᴡ4ᴡ9ᴡɢxᴄQ

Step-by-step explanation:

Heres the answer but its on a another page.

Im joking

here's the answer

the first one is 878 i think that what your looking for at the top

Answer:3/6 in simplest fraction form is 1/2.

Step-by-step explanation:EASY and my chanel is FireFlameZero if u can check dat out

Answer:

[tex]y = 0.42x+55[/tex]

Step-by-step explanation:

Given

Let:

[tex]x \to miles[/tex]

[tex]y \to amount[/tex]

[tex](x_1,y_1) = (138,112.96)[/tex] ---- Bobs'

[tex](x_2,y_2) = (209,142.78)[/tex] --- Carl

Required

The equation

First, calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{142.78 - 112.96}{209 - 138}[/tex]

[tex]m = \frac{29.82}{71}[/tex]

[tex]m = 0.42[/tex]

The equation is calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

So, we have:

[tex]y = 0.42(x - 138) + 112.96[/tex]

[tex]y = 0.42x - 57.96 + 112.96[/tex]

[tex]y = 0.42x+55[/tex]

Answer:

do you mean scientific notation ?

2.097152 x [tex]10^{6}[/tex]

Step-by-step explanation:

Step-by-step explanation:

the answer is in the above image

Answer:

Step-by-step explanation:

[tex]Circumference = 2 \pi r[/tex]

1) r = 11 feet

 Circumference = 69.1 ft

2) r = 7yd

  Circumference = 43.98 = 44 yd

3) r = 6.3 m

   Circumference = 39.6

4) r = 11.8 ft

    Circumference = 74. 1 ft

5) r = 2 km

  Circumference = 12.6 km

6) r = 9 mi

 Circumference = 56.6 mi

7) r = 6 ft

 Circumference = 37. 7ft

8) r = 8. 4 ft

   Circumference = 52.8 ft

[tex]Circumference = 2 \pi r = \pi \times 2r = \pi \times d \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ diameter, d = 2r \ ][/tex]

11) d = 4m

  Circumference = 12.6 m

12) d = 22 mi

    Circumference = 69.1 mi

13) d = 5m

    Circumference = 15.7 m

14) d = 8yd

   Circumference = 25.1 yd

15) d = 16.8 m

  Circumference = 52.8 m

16) d = 6cm

  Circumference = 18.9 cm

17) d = 14 in

   Circumference = 43.98 = 44 in

18) d = 16km

 Circumference = 50. 3 km

Answer:

1) 69.1

2) 44

3) 39.6

4) 74.1

5) 12.6

6) 56.5

7) 37.7

8) 52.8

11) 12.6

12) 69.1

13) 15.7

14) 25.1

15) 52.8

16) 18.8

17) 44

18) 50.3

This was a lot but I'm pretty sure all are right

Answer:

-4

Step-by-step explanation:

f(x) = 10 - 2x

substitute 7 in place of x

f(7) = 10 -2*7

=10 - 14

=-4

therefore the value of f(7) is -4.

Answer:

4 in

Step-by-step explanation:

area right : Ar = 5x

area left : Al = 11x

area top : At = 5x

area bottom : Ab = 13x

area front : Afr = rectangle 13×11 minus area triangle

triangle (right-angled) : (11-5)×(13-5)/2 = 24 in²

Afr = 13×11 - 24 = 119 in²

area back = area front = 119 in²

sloped area : As = 10x

all individual shapes in the surface of the object are rectangles except the 2 areas in the front and in the back, where we had to calculate the complete rectangle and then subtract the cut off triangle area.

so, in total we have

414 = 5x+11x+5x+13x+119+119+10x = 44x + 238

176 = 44x

x = 4 in

Answer:

ok for this problem lets convert all of the number into decimals to make it easier.

7.5 is already a decimal

7 2/5 as a decimal is 7.4

7.69() is already a decimal  

ok so 7.4 is lowest

7.5 is next

7.69 is highest

Answer:

In order from least to greatest is [tex]7\frac{2}{5},7.5,7.69[/tex]

Step-by-step explanation:

In order from greatest to least is the other way around

[tex]2/5 = 0.4[/tex]

So [tex]7.4[/tex]

Hope this is helpful

Answer:

7 boxes

Step-by-step explanation:

We can use ratios to solve

12 bars            42 bars

----------    = ---------------

2 boxes      x boxes

Using cross products

12x = 2 *42

12x = 84

Divide by 12

12x/12 = 84/12

x = 7

Answer:

0.393701 cm = 1 in

Step-by-step explanation:

We want to find the number of centimeters in 1 inch.

First, the two conversion rates we need to use:

1m = 100 cm

1m = 39.3701 in

From these two equations, we can conclude that:

100cm = 1m = 39.3701 in

100cm = 39.3701 in

Because we want to find the total number of centimeters in 1 inch, we need to divide both sides by 39.3701

We will get:

(100cm)/39.3701 = (39.3701 in)/39.3701

0.393701 cm = 1 in

This equation gives us the number of centimeters in one inch.

Answer: When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x).

Reflection in the y -axis:

The rule for a reflection over the y -axis is (x,y)→(−x,y) .

Reflecting over any other line. Notice how each point of the original figure and its image are the same distance away from the line of reflection (x = –2 in this example).

It is simple enough to identify whether or not a given function f(x) is a linear transformation. Just look at each term of each component of f(x). If each of these terms is a number times one of the components of x, then f is a linear transformation. are linear transformations.

First shift three units to the left, so the line of reflection becomes the y axis, then flip, and finally remember to shift three units back to the right to put the center line back where it belongs. (This gives the f(6−x) solution you already know).

More information for you..

https://youtu.be/TPU5IyCUGuA

https://youtu.be/JHQtA6R7fYc

https://youtu.be/LR6f23gY3qk

[tex]\color{yellow}{}[/tex]

Answer:

y > 0.

Step-by-step explanation:

A.

Answer:

Answer is C

Step-by-step explanation:

In demand when the price goes up the quantity goes up and when the price goes down the quantity also goes down

In Supply when the price goes up the quantity goes down and when the price goes down the quantity goes up

Demand Schedule is a Chart

Demand Curve is a graph

Supply Schedule is a Chart

Supply Curve is a graph

Hope this helps

Step-by-step explanation:

[tex]hope \: it \: helps[/tex]

Answer:

The answer is C .

Step-by-step explanation:

Here's your answer in image

Answer:

The answer is C

Step-by-step explanation:

Your Answer is in the above image

Answer:

Step-by-step explanation:

Note : any number or variable with it's power 0 is considered as one.

Last one is the solution to find the two ration numbers between 2/5 and 3/4 (question which u asked just before this question).

Answer:

False

Step-by-step explanation:   6 28 13  50

skewing to the right of a sysmetrical distribution is a negative skew

Answer:

2/3

Step-by-step explanation:

P ( 8 or more) = number that are 8 or more) / total

                        = (6+4) / ( 2+3+6+4)

                         = 10/15

                          =2/3

Answer:

1. 8r+7

2. 8 ( r-t)

3. 2(3r+5t)

Step-by-step explanation:

See Image below:)

Answer:

im doing the same one, i believe it is D

Step-by-step explanation:

Answer:

a- yes because corresponding sides are parallel and have lengths in the ration 4/3

Step-by-step explanation:

just did the test

Answer:

36x² + 24x + 300 ft²

Step-by-step explanation:

→ Area of rectangle = Length × Width

→ Area of rectangle = (12x + 8) ft × (3x + 15) ft

→ Area of rectangle = 12x(3x + 15) + 8(3x + 15) ft²

→ Area of rectangle = 36x² + 180 + 24x + 120 ft²

→ Area of rectangle = 36x² + 24x + 300 ft²

9514 1404 393

Answer:

  x ∈ {π/18, 5π/18, 13π/18, 17π/18, 25π/18, 29π/18}

Step-by-step explanation:

Using the trig identity ...

  cos(2x) = 1 -2sin²(x)

we can rewrite the equation as ...

  (1 -2sin²(3x)) -5sin(3x) +2 = 0

  2sin²(3x) +5sin(3x) -3 = 0 . . . . . standard form

  (sin(3x) +3)(2sin(3x) -1) = 0 . . . . factored form

There are no real values of x that will make the first factor zero. The second factor is zero when ...

  sin(3x) = 1/2

  3x = arcsin(1/2) +2nπ   or   (2n+1)π -arcsin(1/2)

  x = 1/3(π/6 +2nπ)   or   1/3((2n +1)π -π/6)

  x = (12n+1)π/18  or  (12n+5)π/18

  x ∈ {π/18, 5π/18, 13π/18, 17π/18, 25π/18, 29π/18}