What is the area of the figure?
96 ft 2
84 ft 2
40ft 2
can’t be determined

Answer:

A. 3 pages in 9 minutes

Step-by-step explanation:

3 & 9 are all the lowest out of those options.

This question is incomplete, the complete question is;

Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Then use your calculator to evaluate the integral correct to five decimal places.

x² + 9y² = 9

(a) About

y = 3

(b) About  

x = 3

Answer:

a) the volume of solid revolution is 18π² = 177.652879 ≈ 177.65288

b) the volume of solid revolution is 18π² = 177.652879 ≈ 177.65288

Step-by-step explanation:

a) the volume of solid of revolution

about y=3

Using SHELL METHOD;

Volume V = 2π . [tex]\int\limits^1_{y=-1} \,[/tex] (3-y) (2.3√(1-y²)) dy

= 12π . [tex]\int\limits^1_{y=-1} \,[/tex]  (3-y) √(1-y²) dy

= 12π . [tex]\int\limits^1_{y=-1} \,[/tex]  (( 3√(1-y²) - y(√(1-y²)) dy

= 12π[ [tex]\frac{3}{2}[/tex]π - 0 ]

= 18π² = 177.652879 ≈ 177.65288

Therefore, the volume of solid revolution is 18π² = 177.652879 ≈ 177.65288

b)

the volume of solid of revolution

about x=3

Using SHELL METHOD;

Volume V = [tex]\frac{4}{3}[/tex]π . [tex]\int\limits^3_{y=-3} \,[/tex] (3-x) ([tex]2.\frac{1}{3}[/tex]√(9-x²)) dx

= [tex]\frac{4}{3}[/tex]π . [tex]\int\limits^3_{y=-3} \,[/tex] (3-x) √(9-x²) dx

= [tex]\frac{4}{3}[/tex]π . [tex]\int\limits^3_{y=-3} \,[/tex] (3√9-x² -x√(9-x²) dx

=  [tex]\frac{4}{3}[/tex]π [ [tex]\frac{27}{2} \pi[/tex] - 0 ]

= 18π² = 177.652879 ≈ 177.65288

Therefore, the volume of solid revolution is 18π² = 177.652879 ≈ 177.65288

Answer:

g(x) = (x - 4)^2 - 5, and the vertex is (4, -5)

Step-by-step explanation:

Please, use " ^ " to indicate exponentiation:  g(x) = (x - 4)^2 – 5.  Comparing this to y = a(x - h)^2 + k, we see that h must be 4 and k must be -5.  Thus, the vertex is (4, -5).

Make a table showing several x-values and the corresponding y-values:

x       g(x) = (x - 4)^2 - 5                     (x, y)

0                    (-4)^2 - 5 = 11               (0, 11)

4                (4 - 4)^2 - 5 = -5               (4, -5)

Answer:

They would need to sell 32 calendars to EXCEED their goal.

Explanation:

8 x 32= 256, which is more than the $250 needed!

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]V=Ar^t\\ \\ V=17300((100-7)/100)^t\\ V=17300(0.93)^{(y-2006)}\\ V(2011)=17300(0.93)^{(2012-2006)}=\$ 11192.29[/tex]

Answer:

IS A guys okay A

Step-by-step explanation:

You Suck So Much ohhhhhhhhhhhhhhhhhhhhhhhh

Answer:

i 5 x 45

Step-by-step explanation:

Answer:

75% of what number is 24? 32. Yesterday, 8% of the 150 6th graders were late. How many 6th graders were late? ... On a school bus, 22 of the 40 students are in window seats. What percent of the students are at a window seat? 55%. Write as a fraction in simplest form. 0.8%. 1/125.

Step-by-step explanation:

Answer:

Step-by-step explanation:

I don’t understand so sorry I can’t help

Answer:

me plz

Step-by-step explanation:

Answer:

Step-by-step explanation:

L = 5 m

area = L×W = 176 m²

5W = 176

W  = 176/5 = 35.2 m

Answer:

answer is simple

first we will solve the bracket

(63÷7)

it is 9

and then 60÷ 9

which gives 6.67

the answer to your question might be (B).

Answer:

9 days

Step-by-step explanation:

1= 9*(1.04)^d

12.81/9= (1.04)^d

1.423= (1.04)^d

log(1.423)= d *log(1.04)

0.1532=d * 0.017

d= 0.1532/0.017

d=9

The reasonable domain to plot the growth function is in the interval [0,9].

Answer:

9 days

Step-by-step explanation:

Answer:

Alr what do you need help with

Answer:

60cm^2

Step-by-step explanation:

5X12=60

Answer:

-18x^2+17x-9

Step-by-step explanation:

Answer/Step-by-step explanation:

Recall the acronym, SOHCAHTOA.

✔️Cos X = adj/hyp (CAH)

Adj = 10

Hyp = 26

Cos X = 10/26

Simplify

Cos X = 5/13 (as a fraction)

Cos X = 0.3846 (as a decimal to 4 d.p)

✔️Cos Z = adj/hyp (CAH)

Adj = 24

Hyp = 26

Cos Z = 24/26

Cos Z = 12/13 (as a fraction)

Cos Z = 0.9231 (as a decimal to 4 d.p)

Answer:

150 pages

Step-by-step explanation:

3/10 is equal to 0.3, or 30% of the book. We can set up an equation to find the total number of pages in the book, with x representing the number of pages.

0.3x=45

0.3x/0.3=45/0.3

x=150

Answer:

27 and 23

Step-by-step explanation:

Answer:

1/2 * (?)

Step-by-step explanation:

Divide (?) Cakes in half

Answer:

How many cakess did he have? impossible to answer otherwise

Step-by-step explanation:

=====================================================

Work Shown:

y - y1 = m(x - x1)

y - 2 = 3(x - 5)

The m is the slope, while the (x1,y1) refers to the point the line goes through.

Side note: If you wanted to convert this to slope intercept form, then it would become y = 3x - 13. The y intercept is -13.

Answer:

C

Step-by-step explanation:

Answer:

c < - 0,5

Step-by-step explanation:

8c + 6 < - 6c - 1

// move the terms

8c + 6c < - 1  - 6

// collect the terms

14c < - 7

// divide both sides by 7

2c < -1

// divide both sides by 2

c < - 0,5

Answer:

x=0.5

Step-by-step explanation:

Simplifying

4x + -3(2x + -1) + -4x = 0

Reorder the terms:

4x + -3(-1 + 2x) + -4x = 0

4x + (-1 * -3 + 2x * -3) + -4x = 0

4x + (3 + -6x) + -4x = 0

Reorder the terms:

3 + 4x + -6x + -4x = 0

Combine like terms: 4x + -6x = -2x

3 + -2x + -4x = 0

Combine like terms: -2x + -4x = -6x

3 + -6x = 0

Solving

3 + -6x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + -6x = 0 + -3

Combine like terms: 3 + -3 = 0

0 + -6x = 0 + -3

-6x = 0 + -3

Combine like terms: 0 + -3 = -3

-6x = -3

Divide each side by '-6'.

x = 0.5

Simplifying

x = 0.5

Answer:

64in cubes

Step-by-step explanation:

Because if the vase is half full, half of 8 is 4. To find the volume of a cube is l x W x H. So 4 x 4 x 4= 64.

Answer:

Table A

Step-by-step explanation:

plugging the x values into the rule f(x)=-2x gets you

f(-3)= 6

f(-1)= 2

f(1)= -2

f(3)= -6

Answer:

a=7

Step-by-step explanation:

7(sq rt 2)=(sq rt 98)

sin 45=a/(sq rt 98)

0.7071=a/(sq rt 98)

a=0.7071(sq rt 98)

a=7

Answer:

2/8 is the right answer your welcome

2/8 of a jar more full.

Tip: ALWAYS circle the numbers or key information to get the best results.

Watch what happens!

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Some key information in this problem is 7/8, and 5/8.

Since they asked us how much more and what fraction represents it, we should subtract 5/8 from 7/8 to find how much more  full Rick's jar is than Lisa's.

7/8 - 5/8 = 2/8

So in summary, Rick's jar is 2/8 more full than Lisa's jar.