Can some one please help me with this

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]

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Answer: 4

Step-by-step explanation:

10 x 4 = 40

11 x4 = 44

18 x 4 = 72

Answer:

the original speed is 50 km/h

Step-by-step explanation:

Let us assume the original speed be x

and fastest speed be (x+ 10)

Now here apply the time formula

i.e. distance by the speed

Original time = Fastest time

500 ÷ x = 600 ÷ x + 10

Now do cross multiplication

600x = 500(x + 10)

600x = 500x + 5000

100x = 5000

x = 50 km/h

Hence, the original speed is 50 km/h

Answer:

A= 3,B = 2

Hope it helps you

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Answer:

hence, a = 3

b = 2

Step-by-step explanation:

from the given pair of linear equation we get,

7a + 3b = 27 - ( 1 )

6a + 3b = 24 - ( 2 )

now, subtract equation 2 from equation 1

=》7a + 3b - 6a - 3b = 27 - 24

=》a = 3

now put the value of a in equation 1

=》7a + 3b = 27

=》( 7 × 3 ) + 3b = 27

=》21 + 3b = 27

=》3b = 27 - 21

=》b = 6 ÷ 3

=》b = 2

Answer:

d) AAS

Step-by-step explanation:

The angles shared where the triangles share a vertex are equal. Thus Angle-Angle-Side proves congruency.

Answer:

she needs to work 16 hours

Answer:

16y^2+40y+25

Step-by-step explanation:

[tex] {16y}^{2} + 40y + 25[/tex]

Step-by-step explanation:

(4y−5)^2+80y

Use binomial theorem (a−b)^2=a^2−2ab+b^2 to expand (4y−5)^2.

16y^2−40y+25+80y

Combine −40y and 80y to get 40y.

16y^2+40y+25

Step-by-step explanation:

[tex] \frac{67}{100} \times x = 119.2 \\ x = \frac{11920}{67} = 117.9 = 178[/tex]

Answer:

The distance is 5.20m

Step-by-step explanation:

Here, we want to get the height of the ladder

To get this, we need to understand that we have a right triangle, with the base of the triangle as 3 m, the angle at the downward part is 60, and we want to get the height of the triangle

The angle here faces the height we want to calculate

This height is known as the opposite

What we have is the adjacent

Now, the trigonometric identity that relates the opposite and the adjacent is the tan

The tangent of an angle is the ratio of the opposite to the adjacent

Mathematically;

tan 60 = h/3

h = 3 tan 60

h = 5.20 m

The ladder is at a height of 5.20 m above the ground

Answer:

h = 5.5

Step-by-step explanation:

2.3 + h = 7.8

-2.3         -2.3

  h = 5. 5

Answer:

y = 4x - 2

Step-by-step explanation:

Given: 4x=2+y

First, subtract 2 on both sides to isolate out y. (Slope-intercept form is y=mx+b)

Once subtracted, you get: 4x-2=y

Rearrange it, and you get: y=4x-2

Answer: 25°

Step-by-step explanation: deltamath

Answer:

Pos sabe aaaaaaaaaaaaaaaaaaaaaaaa

Answer:

$390 is the correct answer

Answer:

390

Step-by-step explanation:

(1300)(.05)(6) = 390

Answer:

4 units²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A= [tex]\frac{1}2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 4 and h = 2 , then

A = [tex]\frac{1}{2}[/tex] × 4 × 2 = 2 × 2 = 4 units²

Answer:

Sargento cheese slices are the better deal

Sargento cheese slices $2.48 for 10 slices = 0.248 per slice

Velveeta cheese slices $3.18 for 12 slices = 0.265 per slice

Step-by-step explanation:

The unit rate for each cheese slice is $0.24 per piece for Sargento cheese slices and for Velveeta cheese slices is $0.26, and Sargento cheese slices is the better deal.

Given that,
Sargento cheese slices $2.48 for 10 slices or Velveeta cheese slices $3.18 for 12 slices.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
According to the question,
Sargento cheese slices, unit rate = 2.48/10 = $0.24
Velveeta cheese slices , unit rate = 3.18/12 = $0.26
From above Sargento cheese slices, is cheaper than  Velveeta cheese slices.

Thus, the unit rate for each cheese slice is $0.24 per piece for Sargento cheese slices and for Velveeta cheese slices is $0.26, and Sargento cheese slices is the better deal.

Learn more about simplification here:

https://brainly.com/question/12501526

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Answer:

[tex]4x+6y=-30\\\\6y=-4x-30\\\\y=\frac{-4x}{6} -\frac{30}{6} \\\\ y=\frac{-2}{3} x-5[/tex]

Step-by-step explanation:

I hope this helps

have a nice day!! :)

Given:

Length of the parallelogram = 25 feet

Width of the parallelogram = 20 feet

Perpendicular distance from the long side to the opposite long side = 18 feet.

To find:

The area of the piece of land which is a parallelogram.

Solution:

Area of a parallelogram:

[tex]Area=Base\times height[/tex]

Let the longer side, 25 feet is the base, then the height of the parallelogram is 18 feet. So, the area of the parallelogram is

[tex]Area=25\times 18[/tex]

[tex]Area=450[/tex]

Therefore, the area of the piece of land is 450 square feet.

Answer:

video=$6.5

moive=$1

Step-by-step explanation:

5m+2v=18, 3m+8v=55

5m+2v=18

2v=18-5m

v=9-2.5m

plug (v=9-2.5m) in (3m+8v=55)

3m+8v=55

3m+8(9-2.5m)=55

3m+72-20=55

-17m=-17

m=1

plug (m=1) in (v=9-2.5m)

v=9-2.5m

v=9-2.5*1

v=6.5

Give brillianst please!!!!!!

Answer:

8.5 units

Step-by-step explanation:

(-1, 1) squared + (7,4) squared = formula

Distance 8.5 is rounded to the nearest 10

Answer:

B, A.

Step-by-step explanation:

Answer:

(in degrees)

x = 15.09478709

Step-by-step explanation:

sin(x) = 25/96

Answer:

y = 2x + 0

Step-by-step explanation:

Using a linear relationship calculator, where ;

X ____ Y

1 ____ - 2

2 ___ - 4

3 ___ - 6

4 ___ - 8

The equation of line of best fit obtained is :

y = 2x + 0 ;

Where

slope = 2 ; intercept = 0

Answer:

hi

Step-by-step explanation: