Use The Divergence Theorem To Calculate The Surface Integral and Sis a sphere centered at the origin with a radius of 2. Confirm your answer by computing the surface integral.

Answer:

D. 36.56 cm²

Step-by-step explanation:

The composite figure is composed of a rectangle and two semicircles.

The two semicircles makes 1 full circle.

Thus:

Area of the composite figure = area of rectangle + area of circle

= L*W + πr²

L = 6 cm

W = 4 cm

r = ½(4) = 2 cm

Area = 6*4 + π*2²

Area = 24 + 12.56

Area = 36.56 cm²

Answer:

300

Step-by-step explanation:

Find the y value when x = 60

Looking at the graph when x=60, y= 300

Answer:

37.7

Step-by-step explanation:

Circumference = [tex]2\pi r[/tex]

Circumference = [tex](2)(\pi )(6)[/tex]

Circumference = 37.69911184 / 37.7

Therefore, circumference of the circle with the radius 6 cm is 37.7.

Answer:

37.7

Step-by-step explanation:

formula for circumference of a circle=2πr

2×π×6=37.7cm

Answer:

4 weeks

Step-by-step explanation:C. 5 weeks 90+48 138

88+40 138

Step-by-step explanation:

s

5+4+7+2=18

18-2=16

16/18

88% chance of selecting a marble that isnt white

Answer:

8/9

Step-by-step explanation:

P(white) = (2) ÷ (5+4+7+2) = (2)/(18) = 1/9

P(not white) = 1 - P(white) = 1 - 1/9 = 8/9

Answer:

V ≈ 706.9 cm³

Step-by-step explanation:

The volume (V) of a cylinder is calculated as

V = πr²h ( r is the radius and h the height )

Here r = 5 and h = 9 , then

V = π × 5² × 9

   = π × 25 × 9

   = 225π

   ≈ 706.9 cm³ ( to the nearest tenth )

Answer:

put them on the points

Step-by-step explanation:

Answer:

n=14

Step-by-step explanation:

2x14=28-3=25

25/5 = 5

Answer:

3x + 2y = 5y + 2x -11

-3x                 -3x

2y = 5y -x -11

-5y   -5y

-3y = - x - 11 (divide by -3)

y = - x - 11/3

reflection, then translation

Answer:

It's A

Step-by-step explanation:

The r coordinate of x is positive 4 which would be the frist number.

The r coordinate of y is positive 1 which would be the second number.

Answer:

[tex] \frac{(x - 2)(x + 2)}{x - 8} [/tex]

24x⁶ and 18x⁴ —> 6x⁴

30x³y⁵ and 25 x²y —> 5x²y

Answer:

x = -2, y = 3.

as an ordered pair it is (-2, 3).

Step-by-step explanation:

y= 2x + 7

y= -4x - 5

As both right hand expression are = y we have:

2x + 7 = -4x - 5

6x = -12

x = -2

Substitute for x in equation 1:

y = 2(-2) + 7 = 3.

Answer:

The relationship between weeks and the total amount is:

[tex]y=10x[/tex]

Step-by-step explanation:

We have here a linear relationship between weeks and the total amount. The equation of a line is:

[tex]y=mx+b[/tex]

Where:

We need two points to find the slope.

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Let's use any pair points from the plot.

[tex]m=\frac{60-40}{6-4}[/tex]

[tex]m=10[/tex]

And we also see that the y-intercept is 0, therefore the equation will be:

[tex]y=10x[/tex]

I hope it helps you!

Answer:

y=10x and Over 4 weeks, Aurora saves $40

Step-by-step explanation:

Answer:

I'm guessing 60

Step-by-step explanation:

84% sure tho

Answer:

C; x*3

Step-by-step explanation:

Answer:

4.17%

Step-by-step explanation:

Rate = interest earned / (principal x time)

70 / (4 x 420) = = 0.0417 = 4.17%

Answer:

false

Step-by-step explanation:

hope it helps and sorry if it's wrong i wish you luck

Answer:

bb

Step-by-step explanation:

Answer:

11. Expression

12. Equation

13. Equation

14. Expression

15. Equation

Step-by-step explanation:

Expression:

Has no equal sign.

Equation:

Has equal sign.

11. 2 + 5

14. X + 25

Those which do not have the equal sign are expressions.

12. 2 + 5 = 7

13. 4x = 12

15. 16 - 6 = 10

Those with the equal sign are equations.

Answer:2+6+2+1+3+2+1+1+3+0+4+2=27

27 divided by 12=2.25

Y =k√x

12 = 3k

k = 4

now X = 1\2

y = 4√1/2

y = 2√2

Answer:

y = 2[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Given y is directly proportional to [tex]\sqrt{x}[/tex] then the equation relating them is

y = k[tex]\sqrt{x}[/tex] ← k is the constant of variation

To find k use the condition when x = 9, y = 12

12 = k[tex]\sqrt{9}[/tex] = 3k ( divide both sides by 3 )

4 = k

y = 4[tex]\sqrt{x}[/tex] ← equation of variation

When x = [tex]\frac{1}{2}[/tex] , then

y = 4[tex]\sqrt{\frac{1}{2} }[/tex] = 4 × [tex]\frac{1}{\sqrt{2} }[/tex] ← rationalise the denominator by multiplying by [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex]

y = [tex]\frac{4}{\sqrt{2} }[/tex] × [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex] = [tex]\frac{4\sqrt{2} }{2}[/tex] = 2[tex]\sqrt{2}[/tex]

Answer:

1:

6y-3+y

D =7y-3

2.

50C

3.

6÷K

4.

7-x

5.

8p-4p

6.

2g-3

7.

1-7/p

D.(p-7)/p

Answer: the required sample size = 155

Step-by-step explanation:

If the standard deviation of the prior study is known, then the formula to compute required sample size:

[tex]n=(\frac{z^*\times\sigma}{E})^2[/tex], where E = Margin of error, z* = Critical value, [tex]\sigma[/tex] =  populion standard deviation.

Given: E = 3.7 , [tex]\sigma=28[/tex]

Critical value for 90% confidence = 1.645

Required sample size: [tex]n=(\frac{1.645\times28}{3.7})^2[/tex]

[tex]n=(12.4486486486)^2\approx155[/tex]

Hence, the required sample size = 155

The given triangle is a Right angled triangle,

By applying trigonometry :

[tex] \boxed{\tan( \theta) = \frac{opposite \: \: side}{adjacent \: \: side} }[/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Answer:

100/100

Step-by-step explanation:

XD