(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: A

B

D

Step-by-step explanation:just trust me bro its the answer

The transformation is the rotation of 180° about the origin. Therefore, option B is the correct answer.

Given that, quadrilateral EFGH is the image of ABCD after a transformation or sequence of transformations.

We need to find which could be the transformation or sequence of transformations.

A function, f, that maps to itself are called the transformation, i.e., f: X → X. The pre-image X becomes the image X after the transformation. This transformation can be any or the combination of operations like translation, rotation, reflection, and dilation. The translation is moving a function in a specific direction, rotation is spinning the function about a point, reflection is the mirror image of the function, and dilation is the scaling of a function.

Rotation 180°: The rule for a rotation by 180° about the origin is (x,y)→(−x,−y).

From quadrilateral EFGH to the image of ABCD the transformation is the rotation of 180°.

Therefore, option B is the correct answer.

To learn more about the transformation visit:

https://brainly.com/question/11709244.

#SPJ2

Answer:

y = 1/3x - 2

Step-by-step explanation:

2x − 6y = 12

-6y = -2x + 12

y = 1/3x - 2

Answer:

x+(x+1)+(x+2)=42

(x minus 1)+x +(x+1)=42

Step-by-step explanation:

to find the smaller number and to find the middle number

I hope this help you

Answer:

43%

Step-by-step explanation:

443.50 divided by 1015 is 0.43 when rounded; 0.43 as a fraction is 43%. So therefore, the answer is 43%.

Answer:

See below:

Step-by-step explanation:

To find the slope, we use the following formula:

[tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

For this case, we can use (6,60) as the first set of points.

We can use (4,70) as the second set of points.

Now, we can use the formula, 70-60 is for the top of the fraction (10)

We can do 4-6 to find the bottom, which is (-2)

Now, if we add the fraction back we get -> 10/-2 which is -5 for slope!

To find out the y intercept, it in simple words is "What is y when x is 0?".

We can do that by using the slope intercept formula: [tex]y=mx+b[/tex].

Once we insert our slope which is -2 we get: [tex]y=-2x+b[/tex]

We can now substitute a point, lets use (6,60) so we can find out b.

We now get the equation: [tex]60=-5(6)+b[/tex].

If we solve for that we get 90!

Once we input that, we get, [tex]y=-5x+90[/tex]

Now we put in x as 0 and we get our y intercept as 90!

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Answer:

784.19(1 + .15/12) = 793.99

Step-by-step explanation:

Answer:

1.848 × 10^-2

Step-by-step explanation:

0.006 = 6 × 10^-3

3.08 = 3.08 × 10^0 (10^0 is equal to 1)

(6 × 10^-3) × (3.08 × 10^0) = 18.48 × 10^-3 = 1.848 × 10^-2

Step-by-step explanation:

→ 15 + 6h = 45 + 8h

→ -8h + 6h = 45 - 15

→ -2h = 30

→ h = 30/-2

→ h = -15

hope this answer helps you dear...take care and may u have a great day ahead!

Answer:

=615961

Step by step explanation:

(10)(25)(2255)+52211

=(250)(2255)+52211

=563750+52211

=615961

The correct quotient is -3

The mistake CJ likely made is multiplying using the reciprocal of -3/4. The correct option is d. He multiplied using the reciprocal of -3/4

From the question,

We are to determine the correct quotient.

The given division operation to be carried out is -3/4 divided by 1/4

The correct quotient can be determined as shown below

[tex]-\frac{3}{4} \div \frac{1}{4}[/tex]

Multiply [tex]-\frac{3}{4}[/tex] by the reciprocal of [tex]\frac{1}{4}[/tex]

The reciprocal of [tex]\frac{1}{4}[/tex] is  [tex]\frac{4}{1}[/tex]

Then, we get

[tex]-\frac{3}{4} \times \frac{4}{1}[/tex]

This gives

[tex]-\frac{12}{4}[/tex]

= -3

The correct quotient is -3

The mistake CJ likely made is multiplying using the reciprocal of -3/4.

Hence, the correct quotient is -3

The mistake CJ likely made is He multiplied using the reciprocal of -3/4. The correct option is d. He multiplied using the reciprocal of -3/4

Learn more here: https://brainly.com/question/13124034

Answer:

Step-by-step explanation:

20:220 = 0.09

10:110 = 0.09

5:55 = 0.09

1:11 = 0.09

Answer:

the answer are is c,e,h because they have low prices

Rigid transformation do not alter the sides and angle measurements of a shape.

The true statements are:

From the graph, we have the following highlights

Hence, the first three statements are not congruent, while the last statement is congruent.

Read more about congruent shapes at:

https://brainly.com/question/24430586

Answer:

the answer is 5.50 or the last one

Step-by-step explanation:

hope this helps

Answer:

answer is $7.5

Step-by-step explanation:

1shirt=$5

10 shirt= ?

10*5= $50

$5= 100%

what about 150%

(5*150)÷100= $7.5

Answer:

-7/4 < -2/3 < 0 < 0.6 < 3/4 < 3

Step-by-step explanation:

Answer:

(0,2) x (3,-2)

Step-by-step explanation:

Answer:

How

Step-by-step explanation:

You want to put picture in

Answer:

x≤-3 or 2≤x∠7

Step-by-step explanation:

It would be the first answer on the paper

Answer:

A

Step-by-step explanation:

[tex]\frac{x^2+x-6}{x-7} \leq 0\\[/tex]

hence numerator and denominator are of opposite sign.

case1 .

let x²+x-6≥ 0

and x-7<0

x²+x≥6

x²+x+1/4≥6+1/4

(x+1/2)²≥25/4

(x+1/2)²≥(5/2)²

|x+1/2|≥5/2

x+1/2≥5/2

x≥5/2-1/2

x≥2

or

x+1/2≤-5/2

x≤-5/2-1/2

x≤-3

also x-7<0

x<7

combining

x≤-3 or 2≤x<7

case 2.

x²+x-6<0

and x-7≥0

x²+x<6

x²+x+1/4<6+1/4

(x+1/2)²<25/4

|x+1/2|<5/2

so -5/2 <x+1/2<5/2

-5/2-1/2<x<5/2-1/2

-3<x<2

also x-7≥0

so x≥7

combining

we get no vlaue satisfying both the values.

Hence rejected.

Answer:

x = -2

Step-by-step explanation:

Answer:

$690.86

Step-by-step explanation:

100% from the original cost is: 2 x 863.57 = $1,727.14

40/100 = X/1727.14 (40 percent is what of 1,727.40) (%/100 = is/of)

(40 * 1,727.14) / 100 = $ 690.86

Answer:

a. The real GDP increases by $200,000.

a. The real GDP increases by $150,000.

Step-by-step explanation:

a. What is the eventual effect on real GDP if the government increases its purchases of goods and services by $50,000?

Eventual effect on real GDP = Amount of increase in government spending * (1 /(1 - MPC)) = $50,000 * (1 / (1 – 0.75)) = $200,000

Therefore, the real GDP increases by $200,000.

a. What is the eventual effect on real GDP if the government, instead of changing its spending, increases transfers by $50,000?

Eventual effect on real GDP = (Amount of increase in government transfers * (1 /(1 - MPC))) - Amount of increase in government transfers = ($50,000 * (1 / (1 – 0.75))) - $50,000 = $150,000

Therefore, the real GDP increases by $150,000.

Answer:

Lucy did 37 Push-up

Given:

Lucy 12 More than Jeremy

Jeremy 25

Step-by-step explanation:

If Lucy did 12 more than Jeremy that given you that It "Addition"

so 12+ 25 = 37

Therefore, Lucy did 37 Push-up.

Using the information given, it is found that the class width for this frequency distribution table is of 1.

In this problem, these following classes are given:

0 – 1 14

2 – 3 1

4 – 5 8

6 – 7 12

8 – 9 12

The classes not given, which are 1 - 2, 3 - 4 and 5 - 6, have values of 0.

The difference between the bounds of the classes is of 1, thus, the class width is of 1.

A similar problem is given at https://brainly.com/question/24701109

Answer:

d. -6x + 2 = -15

Answer:

3/28.

Step-by-step explanation:

Total of 8 balls in the jar.

Prob (first one not green (= that its red) = 3/8

Prob ( Second one is also red) = 2/7.

So probability that both are not green = 3/8 * 2/7

= 6/56

= 3/28.

Answer:

7· 5n + 55 ≥ 100 is required inequality

Step-by-step explanation:

Let he visit be theater x time

→ for new movie ticket

→55+7·5xn≥100

→7·5n+55≥100

Hence, 7· 5n + 55 ≥ 100 is required inequality  

Answer:

Inequality: 7.5v+55≥100

Answer: v≥6

Step-by-step explanation:

Have a good day :)

Answer:

Step-by-step explanation:

Expected value of the bet =

(4/52)(4/51)(4/50) * 40 + (1 - (4/52)(4/51)(4/50)) * (-10) =

(64/132600) * 40 + (1 - 64/132600) *(-10) =

64/3315 + (132536/132600) * (-10) =

64/3315 - (132536/13260) =

64/3315 - 33134/3315 =

-33070/3315 =

-9.97586726998 =

-$9.98, rounded to the nearest cent  

(i.e., the expected value of the bet is a loss of $9.98)