Find the volume of the solid generated by revolving the shaded region about the given axis.

About the y-axis

Choices:
21π
49π
(21/2)π
42π

Answer:

Step-by-step explanation:

radius = 3mm

diameter = 6mm

circumference = 6 x 3,14 = 18.84 mm

area = 3^2 x 3,14 = 28.26 mm^2

Answer:

Step-by-step explanation:

It looks like every time the coefficient increases by 3 while the exponent increases by 1.

[tex]\\45\\\sum 3(n+1)x^{n}\\n = 0[/tex]

Notice it starts at zero so 3 is multiplied by (x+1) to make it start from 0

The exponent is simply n, because at the start is it zero [tex]x^0=1[/tex], then 1, then 2, so on.

The upper limit is 45 because 45 - 0 = 45 terms

Answer:

length = 22, width = 9

step by step explanation :

perimeter = 62

length = 3×width -5

∴ 2 ( length + width ) = perimeter

2 ( 3w-5 + w ) = 62

3w -5 + w = 62/2 = 31

3w -5 + w = 31

4w  = 31 + 5 = 36

4w = 36

 w =36/4

 w = 9

l= 3w-5 = (3×9)-5 = 27-5= 22

verifying -

2( l + b) = perimeter

2 ( 22 + 9 ) = 2 * 31 = 62

hope this answer helps you....

Answer:

no solution

Step-by-step explanation:

|x-33| = -33

An absolute value must be greater than or equal to zero

The right hand side is a negative number.

There is no solution

Answer:

No solution

Step-by-step explanation:

When you do the absolute value, it is equal to a negative number. Which does not make sense so no solution

Answer:

a + b - b = a

Step-by-step explanation:

Answer:

This student's GPA is 3.04.

Step-by-step explanation:

Student's GPA:

To find the students GPA, we find the sum of the multiplication of each numerical grade(A is 4, A- is 3.67 and so on) and the credit load of the course, divided by the number of courses.

His grades are:

4 in English worth 3 credits.

4 in Antropology worth 3 credits.

2.67 in Chemistry worth 4 credits.

2 in French worth 4 credits.

3 in Theatre worth 2 credits.

GPA:

[tex]\frac{4*3+4*3+2.67*4+2*4+3*2}{3+3+4+4+2} = 3.04[/tex]

This student's GPA is 3.04.

Answer:

3.04

Step-by-step explanation:

Answer:

(2x+3)(x+6) or 2x^2 + 15x + 18

Step-by-step explanation:

Area = Length x Width

Length = (2x-3)

Width = (x+6)

(2x-3)(x+6)

2x^2 + 12x - 3x - 18

2x^2 + 15x + 18

Final Answer: (2x+3)(x+6) or 2x^2 + 15x + 18

Answer:

-62

Step-by-step explanation:

Plug 27 into the equation

a27=-10+(27-1)(-2)

27-1=26

26 times -2 = -52

-52-10=-62

So

a_27

Option D

9514 1404 393

Answer:

  (x +8)^2 +(y +1)^2 = 16

Step-by-step explanation:

The standard form equation for a circle with center (h, k) and radius r is ...

  (x -h)^2 + (y -k)^2 = r^2

For your center and radius, the equation is ...

  (x -(-8))^2 +(y -(-1))^2 = 4^2

  (x +8)^2 +(y +1)^2 = 16

Answer:

40 students in each bus.

Step-by-step explanation:

Subtract the 8 extra students from the total to get the total number of students who rode in buses. Then divide that total by 6.

248-8=240

240/6=40

40 students in each bus.

Answer:

There is evidence that teacher at Woodlands Middle May prefer the aquarium more than students

Step-by-step explanation:

There is evidence that teachers at Woodlands Middle may prefer the aquarium (Option A) is the true statement from all the available options.

We do sampling so that we don't have to work on entire population of items but only on that sample in a way that we can predict information about population.

Most of the times, it isn't possible in real world to work on entire populations. Samples come out for rescue by assumptions that they will have some properties of the population pertained in them.

Thus, the sample should be taken out such that it includes data of the population as much  as it can in unbiased way so as to imitate population.

Poll oftenly uses sampling.

The data obtained from the poll shows that:

20% of the students prefer the aquarium and 50% of the teachers the

aquarium.

That means, from the poll, we found that out of total students, 20% prefer aquarium whereas 50% of total teacher prefer aquarium.

Since we conclude from sampling only as this is the usual way we do conclusion about population, and since percentage shows that less students' proportion prefer aquarium than the proportion of teachers prefering aquarium, thus,

There is evidence that teachers at Woodlands Middle may prefer the aquarium (Option A) is the true statement from all the available options.

Learn more about sampling here:

https://brainly.com/question/24842573

Answer:

x=14/5, y=-36/5. (14/5, -36/5).

Step-by-step explanation:

x+4y=-26

-5x=-14

------------

5x=14

x=14/5

14/5+4y=-26

4y=-26-14/5

4y=-130/5-14/5

4y=-144/5

y=(-144/5)/4

y=(-144/5)(1/4)

y=-144/20

simplify

y=-36/5

Answer:

-7

Step-by-step explanation:

hope it helps

Answer:

707,957

Step-by-step explanation:

x= 518*tan(42°) + 518*tan(25°) =518*(tan(42°)+tan(25°))≈518*1.367=707.957

Answer:

707,957

Step-by-step explanation:

Answer:

102

Step-by-step explanation:

it's a parallelogram so it's BxH

A = 15x8 = 120

inside rectangle A is LxW

6x3 = 18

subtract the inside from the outside

120-18 = 102

Answer:

351.9 m²

Step-by-step explanation:

[tex]SA=2\pi r^2+2\pi rh[/tex] where r is the radius of the base and h is the height of the cylinder

We're given the diameter of the base, which is 8 m. Therefore, the radius is 4 m (after dividing by 2).

Plug in 4 as r and 10 as h

[tex]SA=2\pi (4)^2+2\pi (4)(10)\\SA=2\pi (16)+2\pi (40)\\SA=32\pi +80\pi \\SA=112\pi[/tex]

Therefore, the surface area of the cylinder is approximately 351.9 m² after rounding to the nearest tenth.

I hope this helps!

Answer:

Answer:

(7,20)

Step-by-step explanation:

Oftentimes we write [tex]y=f(x)[/tex]. This suggests that [tex]x=7[/tex] and [tex]y=20[/tex]. Therefore, the ordered pair is [tex](x,y)=(7,20)[/tex].

9514 1404 393

Answer:

  x ≥ -8

Step-by-step explanation:

The absolute value does nothing when its argument is non-negative.

  x +8 ≥ 0

  x ≥ -8 . . . . . . . subtract 8 from both sides

Answer:

120 times

Step-by-step explanation:

There are 5 people to fill the first place, 4 remaining to fill the second, 3 remaining to fill the third, 2 remaining to the fourth place and only 1 remaining to fill the fifth. That means there are 5 factorial (5!) ways. 5! = 5 x 4 x 3 x 2 x 1 = 120.

Answer:

a- 3/4

b- 1/4

c- 3/16

Step-by-step explanation:

Answer:

Constant monomial

Step-by-step explanation:

Monomial means that there is only one term, so constant trinomial cannot be correct.

Quintic monomials have a degree of 5 and quadratic monomials have a degree of 4, but this has a degree of zero, so this must be a constant monomial.

I hope this helps you. Have a nice day.

Answer:

3.25%

Step-by-step explanation:

The formula for simple interest is I = PRT, where I = interest earned/paid, P = principal amount deposited or borrowed, R = rate of interest as a decimal, and T = time in years.

I = PRT

585 = (4000)(r)(4.5)

585 = 18,000r

r = 0.0325

Multiply by 100 to get the percentage

0.0325 = 3.25%

Answer:

C. class number and painting preference

Step-by-step explanation:

just got done with the quiz

Answer:

B 5 meters per second

Step-by-step explanation:

Pick two points on the graph, and find the slope.

For example, you can use the points

(0, 8500) and (1700, 0)

slope = (difference in y)/(difference in x)

slope = (0 - 8500)/(1700 - 0) = -8500/1700 = -5

The slope is negative because the plane was losing altitude as it descended.

It descended at a rate of 5 meters per second.

Answer: B 5 meters per second

Answer:

B. 5 meters per second

Step-by-step explanation:

slope=8500÷1700=5

Plane descended at the rate of 5 meters per second.

hope it helps

have a great day!!

Answer:

0.60 more

Step-by-step explanation:

Sandwich: 1.25

Milkshake: 0.65

We need to find the difference between the 2

1.25 - 0.65 = 0.6

A sandwich costs 60 cents MORE than a milkshake

Answer:

10.47 inches

Step-by-step explanation:

circumference = πD = 3.14(20) = 62.8 inches

62.8 inches/6 spaces = 10.47 inches per space

Answer:

B 50

Step-by-step explanation:

Option 1) 2/5 = 20/x  |  20/2 = 10 so x = 10  |  5 times x 10 =50

Option 2) dogs 2 to cats 5  |  2/5 = 20/x  |  .40 = 20/x  |  .40x = 20  |  x = 50

Option 3) you can look and see that 20 is 10 times more than 2 and therefore infer that x is 10 times more than 5 which is 50