Use the shell method to write and evaluate the definite integral that represents the volume of the solid generated by revolving the plane region about the y-axis.


y = x^3/2,

y=8

x=0

Answer:

y = -5x - 1

Step-by-step explanation:

NOTE: This equation is in slope-intercept form. The equation in point-slope form is y - 4= -5(x + 1).

The formula for calculating slope-intercept form is y = mx + b.

Substitute the slope and the x and y intercepts for the equation: 4 = -5(-1) + b

4 = 5 + b

Subtract 5 from both sides.

So, -1 = b.

Now substitute the slope for m and -1 for b.

y = -5x + -1

= y = -5x - 1

Answer:

C) 1 fluid Once

Step-by-step explanation:

Answer:

1/18 pound each

Step-by-step explanation:

Take the number of pounds and divide by 12 people

2/3 ÷12

Copy dot flip

2/3 * 1/12

Rewriting

2/12 * 1/3

1/6 * 1/3

1/18 pound each

Answer:

Each person will get 1/18 pounds of spice from the bag

Step-by-step explanation:

Divide 2/3 by 12:

Make 12 a fraction by adding 1 as the denominator:

2/3 ÷ 12/1

Reciprocate the second fraction:

2/3 ÷ 1/12

Turn it into multiplication:

2/3 x 1/12 = 2/36

SIMPLIFY 2/36:

2/36

Divide both sides by 2:

1/18

so your answer is 1/18

I hope I helped!

lol sorry i dont even know i just want points  xd

Step-by-step explanation:

Let S be the sample space

S={HH, HT, TH, TT}

n(S)= 4

A: both the coins with some place

B: both the coins with different place

C:at least one tail

D:at the most one head

1) A={TT,HH}

n(A)=2

P(G)= n(A)/n(S)

= 2/4

= 1/2

2) B ={HT, TH}

n(B) = 2

P(B) = n(B)/n(S)

= 2/4

= 1/2

3) C= {HT, TH, TT}

n(C)=3

P(C) = n(C)/n(S)

= 3/4

4). D={HT, TH}

n(D) = 2

P(D) = n(D)/n(S)

= 2/4

=1/2

Hint : The product of the slopes of two lines perpendicular to each other is - 1 .

______________________________

In slope-intercept ( y = ax + b ) from of the linear equations the coefficient of x is the slope of the line.

Thus :

Slope of line a = - 14

______________________________

Suppose that the slope of line b is x according to the Hint we have :

- 14 × x = - 1

negatives simplify

14x = 1

Divide both side by 14

14x ÷ 14 = 1 ÷ 14

x = 1/14

So the slope of line b is 1/14

_____________________________

Now let's find the equation of line b by point-slope formula using the point question have us ( 2 , 6 ) :

y - y( given point ) = Slope × ( x - x ( g p ) )

y - 6 = 1/14 × ( x - 2 )

y - 6 = 1/14 x - 2/14

y - 6 = 1/14 x - 1/7

Add both sides 6

y - 6 + 6 = 1/14 x - 1/7 + 6

y = 1/14 x - 1/7 + 42/7

y = 1/14 x + 41/7

And we're done ...

Answer:

more info needed

Step-by-step explanation:

Answer:

-17

Step-by-step explanation:

Answer:

2⁵×2⁴=2⁹

2⁵×2⁴=2×2×2×2×2×2×2×2×2

2⁵×2⁴=4⁵

2⁵×2⁴=8³×2

Answer:

[see below]

Step-by-step explanation:

Recall the product rule: [tex]a^x+a^y=a^{x+y}[/tex]

[tex]2^5 + 2^4 = 2^{5 + 4} = \boxed{2^9}[/tex]

Other expressions could be:

[tex]2^{-2} *2^{11}=2^{-2+11} = \boxed{2^9}[/tex]

[tex](2*2*2*2*2)(2*2*2*2) = 2^5 + 2^4 = \boxed{2^9}[/tex]

Hope this helps.

Answer:

[tex]{ \tt{ log_{3}(x + 9) = 5 }} \\ { \tt{x + 9 = {3}^{5} }} \\ { \tt{x + {3}^{2} = {3}^{5} }} \\ { \tt{x = {3}^{5} - {3}^{2} }} \\ { \tt{x = 234}}[/tex]

Answer:

1

Step-by-step explanation:

So we can actually simplify the exponents here. The power rule for exponents is that when multiplying, you add the exponents. So,

3 + (-3) = 0

so the number is now 4^0.

Everything by the power of 0 is equal to 1, so the answer is 1.

Hope this helps !!

-Ketifa

Answer:

y=-3x-10

Step-by-step explanation:

Hi there!

We need to find the equation of the line parallel to y=-3x+4 that has the y intercept of -10 (the point (0, -10))

Parallel lines have the same slope

The slope of y=-3x+4 is -3 (it is in the placement of where m (slope) is in y=mx+b)

So the slope of the new line parallel to y=-3x+4 is also -3

Here is the equation of that line so far:

y=-3x+b

b is a placeholder for the y intercept

However, we are given the y intercept as -10, so substitute -10 as b into the equation

y=-3x-10

There's the equation of the line parallel to y=-3x+4 with a y intercept of -10

Hope this helps!

Answer:

Mary has 8 more card than Peter

Step-by-step explanation:

Jane: peter: mary

3          5        6

Peter has 40

40/5 = 8

Multiply each by 8

Jane: peter: mary

3*8     5*8        6*8

24        40          48

We want Mary - Peter

48-40

8

Mary has 8 more card than Peter

answer is

4ft* 5ft

= 20ft^2

Answer:

I think the answer is the first one ... am i right...

Answer:

13. 100* : 14. 111* : 15. 125* : 16. 47*

Step-by-step explanation:

13. Same side interior angles add to 180.

14. Alternate interior angles equal each other.

15. Alternate interior angles equal each other.

16. Opposite angles equal each other.

Step-by-step explanation:

I don't know, if I see the full picture. I see only 2 diagrams.

since the line of reflection is y=0 (= the x-axis), it can be only the upper diagram.

and something might be wrong with your translation description.

but as I said, given these two choices, due to the line of reflection, it can be only the upper diagram.

Answer:

m<1=74

m<2=37

Step-by-step explanation:

m<2 is the same as the other angle, 37 degrees. So now we need to find the other angle in the triangle.

37+37+x=180.

The total degree of a triangle is 180.

x=106

Subtract that from 180 to get m<1.

180-106=74

I hope this helps!

Good luck!

Answer:

$14

Step-by-step explanation:

x = price of scarf 1

y = price of scarf 2

together they cost $25

x + y = 25

one scarf costs $3 more than the other

x = y + 3

now we use that in the first equation again

y+3 + y = 25

2y +3 = 25

2y = 22

y = $11

=> x = y +3 = 11 + 3 = $14

 x = 9

CB = DB = 61

Step-by-step explanation:

∠CAB = ∠DAB

So,  DB  = CB   {Sides opposite to equal angles are equal}

6x +7 = 3x+ 34

Subtract 7 from both sides.

6x = 3x + 34 - 7

6x = 3x + 27

Subtract 3x from both sides.

6x - 3x = 27

3x = 27

Divide both sides by 3

x = 27/3

x = 9

DB = 6x +7

      = 6*9 + 7

      = 54 + 7

DB =  61

CB = 3x + 34

      = 3*9 + 34

      = 27 + 34

CB = 61

Answer:

Step-by-step explanation:

The trick here is to make sure that the units are standard units, like miles / hour.

10 minutes = 10 / 60 hours.

k = 1/6 of an hour

y = k x

k = y/x

k = 8 miles / 1/6 of an hour

k = 8 * 6 // 1/6 * 6

k = 48 miles / hr

y = k x

y = 48 * x

Answer:

1.) Reflect across x-axis

2.) Reflect across y-axis

3.) Move to the right by one unit

Step-by-step explanation:

The reflection rule is ''about the origin''.

Used the concept of reflection that states,

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the origin, the x-coordinate and y-coordinate do not change places and are negated.

Given that,

Two figures VWGY and V'W'G'Y' is shown in the figure.

From the figure,

V = (0, - 2)

W = (- 1, 0)

G = (2, 0)

Y = (5, - 4)

V' = ((0,  2)

W' = ( 1, 0)

G' = (- 2, 0)

Y' = (- 5, 4)

Hence the coordinate satisfies the rule (x, y) → ( - x, - y).

So, the reflection rule is about the origin.

To learn more about the transformation visit:

https://brainly.com/question/30097107

#SPJ4

Answer:

-2,-4

Step-by-step explanation:

Respuesta:

0,9 veces

Explicación paso a paso:

Deje que la cantidad en la cuenta de Martha se denote como x, que es la cantidad en la cuenta = x

Porcentaje retirado para transporte = 10%

El porcentaje total siempre será del 100%

Por lo tanto, si se retira el 10%, entonces; el porcentaje restante es:

Porcentaje total: porcentaje gastado en transporte

(100% - 10%) * monto en cuenta

90% * x = 0,9 * x = 0,9x

Saldo de cuenta nueva = 0.9x

Answer:

Option A

Step-by-step explanation:

multiple each coordinate by 1/2

Answer:

I can't help but I hope you succeed

To get that answer, apply the slope formula

m = (y2 - y1)/(x2 - x1)

m = (-8 - (-8))/(9 - (-2))

m = (-8 + 8)/(9 + 2)

m = 0/11

m = 0

Any line with slope 0 is completely horizontal.

As a quick rule of thumb: if the y coordinates of the two points are the same, then the slope is 0 on this horizontal line.

Answer:

64 is the answer

Step-by-step explanation:

p / 4 = 16

p = 16 x 4

p = 64

Answer:

[tex]1\frac{1}{2}[/tex] hours per acre

Step-by-step explanation:

Unit rate in hours per acre = Total hours ÷ acres

                                            = [tex]4\frac{1}{8}[/tex] ÷ [tex]2\frac{3}{4}[/tex]

                                             [tex]=\frac{33}{8}[/tex] ÷ [tex]\frac{11}{4}[/tex]

                                             [tex]= \frac{33}{8}*\frac{4}{11}\\\\= \frac{3}{2}\\\\= 1\frac{1}{2}[/tex]

Answer:

False

Step-by-step explanation:

A quadrilateral is a closed geometrical figure that have four sides and four vertices. Thus the following includes in a quadrilateral : parallelogram, square, rhombus, rectangle and trapezium.

If the diagonals of the quadrilateral bisects each other and are perpendicular to each other, then the quadrilateral forms a rhombus.

Hence the answer is FALSE.