please help
ill mark as the brainliest

Using the disk method, the volume would be

[tex]\displaystyle \pi \int_0^3 (\sqrt x)^2 \,\mathrm dx=\pi \int_0^3 x\,\mathrm dx=\frac\pi2 x^2\bigg|_0^3=\boxed{\frac{9\pi}2}[/tex]

That is, you split up the solid into disks of some small height ∆x, and each disk has radius at point x equal to the distance (√(x)) from the axis of revolution (the x-axis, y = 0) to the curve y = √(x). The volume of such a disk is then π (√(x))² ∆x. Take the sum of these volumes to get the total volume, then as the heights get smaller and smaller, replace ∆x with dx and the sum with the integral.

In this exercise we have to use the knowledge of the integral to calculate the volume of the disk that will correspond to:

[tex]V= \frac{9\pi }{2}[/tex]

That is, you split up the solid into disks of some small height ∆x, and each disk has radius at point x equal to the distance (√(x)) from the axis of revolution (the x-axis, y = 0) to the curve y = √(x). The volume of such a disk is then π (√(x))² ∆x. Take the sum of these volumes to get the total volume, then as the heights get smaller and smaller, replace ∆x with dx and the sum with the integral. Using the disk method, the volume would be:

[tex]\pi \int\limits^3_0 {(\sqrt{x})^2} \, dx = \pi \int\limits^3_0 {x} \, dx = \frac{\pi x^2}{2} = \frac{9 \pi }{2}[/tex]

See more about volume at brainly.com/question/1578538

Answer: The selling cost for Stefan bicycle = $114 and

the selling cost of a helmet = $18.

The total cost for Jin is 120% of the money spent.

Let us assume purchasing cost of a bicycle = $x.

Purchasing cost of a halmet = $y.

For bicycle

120% of x is $114  

=>  1.20 × x = 114

Dividing both sides by 1.20, we get

x=$95.

For helmet.

120% of y is $18.

=> 1.20 × y = 18.

Dividing both sides by 1.20, we get

y = $15.

Therefore, Stefan spent originally to buy a bike $95 and $15 to buy a helmet.

$114 - 95 = $19

$18 - 15 = $3.

Therefore, he made $19 by selling the bicycle and $3 by selling the helmet to Jin.

Hope this helps have a awesome night/day❤️✨

Step-by-step explanation:

Answer:

8 CUPS

Step-by-step explanation:

We have to convert gallons and quarts to cups and subtract the values

1 gallon = 16 cups

7 gallons = 7 x 16 = 112 cups

1 quart = 4 cups

26 quarts = 26 x 4 = 104 cups

112 - 104 = 8 cups

Answer:

EZ!!! 1e+100

Step-by-step explanation:

Answer: 949.85 in 3

Step-by-step explanation:i took the test lol

Answer:

w<10

Step-by-step explanation:

 I am really tired and I dont feel like showing all my work, unless you want me to then just ask

Answer:

3w+16=0>6+4w=0

3w=-16>4w=-6

w=-16/3>w=-6/4

w=-16/3>w=-3/2

Answer:

180

Step-by-step explanation:

72% of 250

72% x 250

72/100 x 250 = 180

I hope im right!!

Answer:

$2.92

Step-by-step explanation:

35/12 = 2.91666666667

1 rose = 2.91666666667 = $2.92

Answer:

x = 11

Step-by-step explanation:

6x + 7 = 73   {Alternate interior angles}

    6x  = 73 - 7

    6x = 66

      x = 66/6

     x = 11

Answer:

36$

Step-by-step explanation:

Answer:

So, the answer is 7 y

Step-by-step explanation:

Both arrows are pointing toward the 7 and it is in y! I have been in 12 grade already so dont worry :)

Answer:

No solution

Step-by-step explanation:

because the are parallel lines they never meet so they are inconsistent so there is no solution

Answer:

I don't see how you can get a solution.

Step-by-step explanation:

You cannot factor or evaluate that problem with values for x or g(x)

Answer:

Length of sandbox (3w + 1) = 9.1 m

Width of sandbox = 2.7 m

Step-by-step explanation:

[tex]w(3w + 1) = {5}^{2} \\ \\ 3 {w}^{2} + w = 25 \\ \\ 3 {w}^{2} + w - 25 = 0 \\ \\ equating \: it \: with \\ \\ a {x}^{2} + bx + c = 0 \\ \\ a = 3 \\ b = 1 \\ c = - 25 \\ \\ {b}^{2} - 4ac \\ = {1}^{2} - 4 \times 3( - 25) \\ \\ = 1 + 300 \\ \\ = 301 \\ \\ w = \frac{ - 1 \pm \sqrt{301} }{2 \times 3} \\ \\ w = \frac{ - 1 \pm 17.3493516 }{6} \\ \\ w = \frac{ - 1 \pm 17.3493516 }{6} \\ \\ considering \: only \: + ve \: sign \\ \\ w = \frac{ - 1 + 17.3493516 }{6} \\ \\ w = \frac{16.3493516 }{6} \\ \\ w = 2.72489193 \\ \\ w = 2.7 \: m[/tex]

3w + 1 = 3*2.7 + 1 = 8.1 + 1 = 9.1 m

Answer: The graph on bottom right

Step-by-step explanation:

It’s the only one that correctly depicts the time (6 hours) and distance (300 miles) traveled. Starting at zero miles and zero drive time, it’s the only one that goes through 300 miles over a period of 6 hours.

Answer:

top right

Step-by-step explanation:

sorry if wrong

Answer:

The final balance is $853.63.

The total compound interest is $453.63.

The compound interest on initial balance is $59.47.

The compound interest on additional deposits is $394.16.

The final balance of initial money is $459.47.

The final balance of additional deposit is $394.16.

The sum of the additional deposits is $0.

The total principal (initial balance plus total additional deposits) is $400.

Step-by-step explanation:

with the information you provided

choose as brainliest

Answer:

B

Step-by-step explanation:

A right triangle is formed by the ground, the side of the house and the ladder.

The hypotenuse is the ladder

let the side of the house be h

Using the sine ratio in the right triangle formed, then

sin77° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{h}{22}[/tex] ( multiply both sides by 22 )

22 × sin77° = h , then

h ≈ 21.44 ( to the nearest hundredth )

The ladder reaches 21.44 ft up the side of the house

Answer:

wouldn't it just be the same? It would still be 20a+32

Answer:

4(5a+8)

Step-by-step explanation:

Factor 20a+32

20a+32

=4(5a+8)

Answer:

100 small rectangles

Step-by-step explanation:

Number of small rectangles = Area of large rectangle ÷ area of small rectangle

               [tex]= \frac{25*40}{10}\\\\= 25*4\\= 100[/tex]

Answer:

the answer is C..................

Answer:

Total height lowered = 75m

No of times balloon lowered = 5

Height lowered in each lowering = Total height lowered / No of times balloon lowered

                                                      = 75 / 5

                                                     = 15 m

The number indicated that each time balloon is lowered by 15 m

For the first one its a slope of -2/3

The second one is 4/5

and the third one is -1/7

Answer:

Geometric Progression is the explicit rule for the given sequence: 11, 22, 44, 88...

First term (a) = 11

Common ratio (r) = 22/11 = 44/22 = 88/44 = 2

Formula used in Geometric Progression is :---

[tex]\boxed{a_n = a {r}^{(n - 1)}}✓\\ [/tex]

where, 'n' is the required term

Answer:

i can.

Step-by-step explanation:

Answer:

The answer is D.

Step-by-step explanation:

:DDDDDDDDD

Answer:

2,160

Step-by-step explanation:

Answer:

2160 quarts in 36 hours would be made

Step-by-step explanation:

120÷2=60

60×36=2160

Answer:

I think y=-5 , x = 3

Answer:

y = 5/3x - 5

Step-by-step explanation:

Slope = rise / run

The distance between two points is 5 up and 3 right. Hence, 5/3x is the slope.

-5 is where the line crosses the y axis, making it the y-intercept.