(a) I wanted to determine how much water my sprinkler was using, so I set out a bunch of empty cat food cans at various distances from the sprinkler and noted how high the water was in each can after one hour. My sprinkler reaches from 0 feet to 16 feet away from the sprinkler. The data are given in Table 1. The sprinkler distributes water in a circular pattern, so I assumed that points the same distance from the sprinkler received the same amounts of water. One way to use the data in Table 1 to estimate how many cubic feet of water my lawn got from my sprinkler in one hour is to write down an integral for the volume of water using the method of shells, and then use a right-endpoint Riemann sum to approximate this integral. Give your answer in decimal form rounded to the nearest cubic foot.
(b) My neighbor decided to collect the same data for her watering. Her sprinkler reaches from 0 feet to 21 feet away from the sprinkler, but she did not set out the cans at evenly spaced distances and so the calculation is a bit more complicated. The data are given in Table 2.Use the data in Table 2 to estimate how many cubic feet of water her lawn got from her sprinkler in one hour. Again, write down an integral for the volume of water using the method of shells, and then use a right-endpoint Riemann sum with subintervals of different lengths to approximate this integral. Give your answer in decimal form rounded to the nearest cubic foot.

Answer:

Please do every single answer by transposition method..

Step-by-step explanation:

1) 3a=9

=a=9/3

=3

2) 5a=20

=a=20/5

=4

3) 7a=28

=a=28/7

= 4

4) p/2=5

=p=5×2

10

5) p/5=4

=p=4×5

=20

6) p/9=6

=p=6×9

=54

Answer:

a= 500km b= 1,250 c= 750

Step-by-step explanation:

a= 250x2=500km

b= 250x5=1,250km

c= 250x3=750km

Step-by-step explanation:

divide each of the following: using the two methods

Answer:

70°

Step-by-step explanation:

90 + 20 + x = 180

110 + x = 180

x = 180 - 110

x = 70°

Answer:

60 degrees

Step-by-step explanation:

The angles are 30 and 90 degrees ( i think it was 30 degrees it wasn't a clear picture. )

A triangle it 180 degrees in total.

SO if we add 30 and 90

30 + 90 = 120

We'll get 120.

We then suptract 120 from 180

180 - 120 = 60

So the degree of x will be 60 degrees.

120 + 60 = 180

Answer:

0.9m²

Step-by-step explanation:

Find the area of the larger circle, the radius is 0.85m because the diameter is double this - 1.7m:

Find the area of the smaller circle, the radius is 0.65 because the diameter is double this - 1.3m:

Subtract the two area:

289/400π - 169/400π = 120/400π = 3/10π or 0.942477.. ≈ 0.9m²

Answer:

The answer is 2/9

Step-by-step explanation:

I got it right on the test

Slope is rise/run which is how I found the slopes.

Slope for line q is -3 and for line p it is 3.

Hope this helps !!

Answer: $3.75

Step-by-step explanation: $15x15=225/60= 3.75

Our material handling cost is $3.75.

A cost function is a mathematical formula used to used to chart how production expenses will change at different output levels.

Material handlers make $15 per hour

If it takes them about 15 minutes to complete this process then process in an hour is 60/15 =4

The cost per process is 15/4 =3.75.

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Answer:

It would be 120 inches squared.

Step-by-step explanation:

12 x 8 = 96

6 x 4 = 24 / 2 = 12

12 x 2 = 24

96 + 24 = 120 inches squared

Answer: 80 in 2 cm

Step-by-step explanation: so if you add you can find it but add you answer you get 2 times and round to the nearest ten and you have your answer.

Answer:

x=3/4

Step-by-step explanation:

Answer:

X= 3/4

Step-by-step explanation:

Distribute

Combine like terms

Add 2 to both sides of the equation

Simplify

Divide both side s of the equation by the same turm

Simplify

Answer:

Mean = 24

Step-by-step explanation:

Mean = (Sum of Terms) ÷ (Total numbers of Terms)

Mean = (22 + 24 + 28 + 19 + 27) ÷ 5

Mean = 120 ÷ 5

Mean = 24

Answer:

15.99 is better

Step-by-step explanation:

because when working with dividing decimals we need to make it a whole number so we would move it over to the right till it is a whole number (which is two spaces) but first we need to put our decimal in our quotient so two spots. and 1499 divided by 64 equals 23.421875 and 1599 divided by 80 equals 19.9875 so the 15.99 dollar one is a better deal.

Answer:

3/1 or 12/4

Step-by-step explanation:

This is the case because all you are doing is converting it into a fraction.

. 3 feet to 1 yard- 3/1

.12 feet to 4 yards- 4/12

Answer:

17.8 is the answer

Step-by-step explanation:

89/5 (the improper fraction of 17 4/5) divided is 17.8

Answer:

first method :

⅘ in decimal is 0.8 (4/5 = 8/10 = 0.8)

17 + 0.8 = 17.8

(this is the easiest method of doing this)

second method :

(17 × 5 + 4)/5

= 89/5

and dividing this u get 17.8

(but this is a lengthy method, as it will take time to devide)

Step-by-step explanation:

brainliest plz

[tex]\\ \sf\longmapsto 4(x+7)=6x-28[/tex](Corresponding angles are equal)

[tex]\\ \sf\longmapsto 4x+28=6x-28[/tex]

[tex]\\ \sf\longmapsto 6x-4x=56[/tex]

[tex]\\ \sf\longmapsto 2x=56[/tex]

[tex]\\ \sf\longmapsto x=28[/tex]

Answer:

the equation is not completed

Answer:

-20

Step-by-step explanation:

Multiply 4x5 which is 20 but since 5 is negative then it's -20

Answer:

h = 5√3

Step-by-step explanation:

h = (√3/2)a

h = 10

h = (√3/2)10

h = 5√3

Answer:

the answer is 122cm

Step-by-step explanation:

105cm+15cm+2cm=122cm

Answer:

1) 6 lines of symmetry

2) 360 ÷ 6 = 60°

Answer: y = 3x - 1

Step-by-step explanation:

y = 3x + c

-1 = 3(0) + c

-1 = 0 + c

-1 - 0 = c

-1 = c

y = 3x - 1

Answer:

The value of n is 5.

Step-by-step explanation:

We have been given that f(x) is a linear function and we are asked to find the value of n from the provided table.

x            f(x)

-4          -25

-1            -10

n             20

First of all we will find the slope of the given using our given points (-4,-25) and (-1,-10) in slope formula.

m = y2-y1/x2-x1

Upon substituting coordinates of our given points we will get,

m = -10--25/-1--4

m = -10+25/-1+4

m = 15/3

m = 5

Since we know that the equation of a line in slope-intercept form is:

y = mx + b,where, m= Slope and b= y-intercept.

Upon substituting m = 5 in slope-intercept form of equation we will get,

y = 5x + b

Now let us find y-intercept by substituting coordinates of one point in our given line.

-10 = 5(-1) + b

-10 = -5 + b

-10 + 5 = -5 + 5 + b

-5 = b

y = 5x - 5

Now let us find value of n by substituting x = n and y = 20 in our equation.

20 = 5 * n - 5

20 + 5 = 5 * n - 5 + 5

25 = 5 * n

25/5 = 5 * n/5

5 = n

Therefore, the value of n is 5.

Answer:

C

Step-by-step explanation:

2 times 7 is 14 highest dollar per hour rate

Answer:

Point C

Step-by-step explanation:

In order to determine the price point that will provide the most revenue, you could multiply the price per taco by its corresponding quantity demanded:

A) $3.00 × 2 tacos demanded = $6

B) $2.50 × 4 tacos demanded = $10

C) $2.00 × 7 tacos demanded = $14

D) $1.50  × 8 tacos demanded = $12

E) $1.00  × 12 tacos demanded = $12

Of all the given values, it turns out that at Point C, where price per taco is $2, and the quantity demanded for that price is 7, provides the most return for Rocco's.

Therefore, the price point that providees the most return is $2.

Answer: a^8/b^10

Step-by-step explanation:in the picture

Answer:

A = 16000(1+0.14)^12 = 77086.4777

Answer:

12 22 23 24 25 26 2u 28 ug6fyd

Given that the area of the rectangular field is 15,000 sq. ft and it's width is 470 ft less than the length of the of the field, the dimensions of the field would be:

Recall:

Given:

Required:

Thus, using the area formula, the equation below is derived:

[tex](l)(l - 470) = 15,000[/tex]

[tex]l^2 - 470l = 15,000\\\\l^2 - 470l - 15,000 = 0\\\\[/tex]

[tex](l + 30)(l - 500) = 0\\\\[/tex]

[tex]l = -30 $ or $ l = 500[/tex]

We will go with the positive value, which is 500.

Therefore, the length of the rectangular field is 500 ft.

Width = l - 470

Width = 500 - 470

Width = 30 ft

Therefore, given that the area of the rectangular field is 15,000 sq. ft and it's width is 470 ft less than the length of the of the field, the dimensions of the field would be:

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