How do you fill in the table?

Answer:

83.8 cm^3

Step-by-step explanation:

Volume of Cylinder = πr^2h

Volume of Full Sphere = 4/3πr^3

Answer:

x = 20

Step-by-step explanation:

5x - 21 = 2x + 39 (corresponding angles are congruent)

Collect like terms

5x - 2x = 21 + 39

3x = 60

Divide both sides by 3

3x/3 = 60/3

x = 20

Answer:

13.825, 13, -13 25/40

Answer:

13.825, 13, and -13 25/40

Step-by-step explanation:

Hope this helps :)

Answer:

[tex]\displaystyle A = \frac{8}{21}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Calculus

Area - Integrals

Integration Rule [Reverse Power Rule]:                                                                 [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Rule [Fundamental Theorem of Calculus 1]:                                      [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Integration Property [Addition/Subtraction]:                                                          [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Area of a Region Formula:                                                                                     [tex]\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx[/tex]

Step-by-step explanation:

*Note:

Remember that for the Area of a Region, it is top function minus bottom function.

Step 1: Define

f(x) = x²

g(x) = x⁶

Bounded (Partitioned) by x-axis

Step 2: Identify Bounds of Integration

Find where the functions intersect (x-values) to determine the bounds of integration.

Simply graph the functions to see where the functions intersect (See Graph Attachment).

Interval: [-1, 1]

Lower bound: -1

Upper Bound: 1

Step 3: Find Area of Region

Integration

Topic: AP Calculus AB/BC (Calculus I/II)  

Unit: Area Under the Curve - Area of a Region (Integration)  

Book: College Calculus 10e

Answer:

#8 - 52°, #9 - 29°

Step-by-step explanation:

8. The two angles added together are a straight line, so they sum up to 180 degrees.

x + (2x + 24°) = 3x + 24° = 180°

3x + 24° = 180°

3x = 156°

x = 52°

9. Similar to #8. "Supplementary" means they add up to 180° (whether they are actually next to each other or not).

So,     4x + (2x + 6°) = 180°

                 6x + 6° = 180°

                     6x = 174°

                        x = 29°

Hope this helps. Get some rest. Zzzzz  :)

Answer:

1.6 or 2?

Step-by-step explanation:

5-3 =2

1/3 - 7/9 LCD

3/9 - 7/9 =-4/9

2-4/9 = 1 5/9

16/3-34/9 LCD

1 5/9 = 1.5555555555 rounded is 1.6 or 2? Not sure if decimals count.

Answer:its obviously 128

Step-by-step explanation:

Answer:

3(x−4)(x+2)

Step-by-step explanation:

Answer:

[tex]\mathbf{3x^2y^3+2xy^4=C}[/tex]

Step-by-step explanation:

From the differential equation given:

[tex]6xy^3 +2y ^4 +(9x^2y^2+8xy^3) y' = 0[/tex]

The equation above can be re-written as:

[tex]6xy^3 +2y^4 +(9x^2y^2+8xy^3)\dfrac{dy}{dx}=0[/tex]

[tex](6xy^3 +2y^4)dx +(9x^2y^2+8xy^3)dy=0[/tex]

Let assume that if function M(x,y) and N(x,y) are continuous and have continuous first-order partial derivatives.

Then;

M(x,y) dx + N (x,y)dy = 0; this is exact in R if and only if:

[tex]\dfrac{{\partial M }}{{\partial y }}= \dfrac{\partial N}{\partial x}}} \ \ \text{at each point of R}[/tex]

relating with equation M(x,y)dx + N(x,y) dy = 0

Then;

[tex]M(x,y) = 6xy^3 +2y^4\ and \ N(x,y) = 9x^2 y^2 +8xy^3[/tex]

So;

[tex]\dfrac{\partial M}{\partial y }= 18xy^3 +8y^3[/tex]

       [tex]\dfrac{\partial N}{\partial y }[/tex]

Let's Integrate [tex]\dfrac{\partial F}{\partial x}= M(x,y)[/tex] with respect to x

Then;

[tex]F(x,y) = \int (6xy^3 +2y^4) \ dx[/tex]

[tex]F(x,y) = 3x^2 y^3 +2xy^4 +g(y)[/tex]

Now, we will have to differentiate the above equation with respect to y and set [tex]\dfrac{\partial F}{\partial x}= N(x,y)[/tex]; we have:

[tex]\dfrac{\partial F}{\partial y} = \dfrac{\partial}{\partial y } (3x^2y^3+2xy^4+g(y)) \\ \\ = 9x^2y^2 +8xy^3 +g'(y) \\ \\ 9x^2y^2 +8xy^3 +g'(y) =9x^2y^2 +8xy^3 \\ \\ g'(y) = 0 \\ \\ g(y) = C_1[/tex]

Hence, [tex]F(x,y) = 3x^2y^3 +2xy^4 +g(y) \\ \\ F(x,y) = 3x^2y^3 + 2xy^4 +C_1[/tex]

Finally; the general solution to the equation is:

[tex]\mathbf{3x^2y^3+2xy^4=C}[/tex]

Answer:

Step-by-step explanation:

s(20/100)=40

20s=4000

s=200

So there are a total of 200 students.

Answer:

There are 200 middle school students

Step-by-step explanation:

The equation for this question can be: 40 is 20% of what. This can be simplified to 40 = 0.2x and then to get x by itself you divide 40 by 0.2 which is 200.

Answer:

C IS 36 CUZ 12X3=36

Step-by-step explanation:

sry i only can solve c

Here's link to the answer:

tinyurl.com/wpazsebu

Answer is in the photo. I can only upload it to a file hosting service. link below!

tinyurl.com/wpazsebu

Answer:

a^2+b^2=c^2

6^2+6^2=c^2

36+36=c^2

72=c^2

square root of 72 is 6 radical 2

Step-by-step explanation:

hope this helps i'm 90 percent sure it's right! :)

Answer:

7 x (8 ÷ 5)

hhhhhhhhhhhhhhhhhhhhhhhhhhh

Answer:

D. 309.12

Step-by-step explanation:

The computation of the area is shown below:

As we know that

Area = a4s

where

a denotes apothem

s denotes side

So, the area is

= 9.66 (4) (8)

= 9.66 (32)

= 309.12 square units

Answer:Yes, your answers are correct.

The volume of a cone is given by V = 1/3πr²h.  Since the diameter of the first cone is 4, the radius is 2; therefore the volume is

V = 1/3π(2²)(8) = 32π/3

We divide the volume of the sink, 2000π/3, by the volume of the cone:

2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.

The diameter of the second conical cup is 8, so the radius is 4.  The volume then is:

V = 1/3π(4²)(8) = 128π/3

Dividing the volume of the sink, 2000π/3, by 128π/3:

2000π/3 ÷ 128π/3 = 2000π/3 × 3/128π = 6000π/384π = 15.625 ≈ 16

Step-by-step explanation:

Answer:

13 I think

Step-by-step explanation:

So basically all i did was double what the gate had. 5=15 3=13 I dont know if that makes lol

Answer:

The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same.

Step-by-step explanation:

For example, when point P with coordinates (5,4) is reflecting across the X axis and mapped onto point P', the coordinates of P' are (5,-4).

Answer:

7

Step-by-step explanation:

I’m not sure but I took the test

Answer:

The picture below will be at help, hopefully! ^^'

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

as BC║DE

so, AD:BD=AE:CE

   or, CE=(BDₓAE)/AD

   or, x=(5×16)/20=4

Answer:

B. $31.50

Step-by-step explanation:

525 x .06=31.50

Answer:

B. $31.53

Step-by-step explanation:

You must divide

Answer:

Well, 2 quarters are 2 coins. But, if you are asking the value of 2 quarters, then your answer will be, 50.

Step-by-step explanation:

So, 1 quarter = 25 cents. So that means that, 25 x 2 or 25 + 25 = 50. So, your answer will be 50. Hope that helps! :)

Answer:50

Step-by-step explanation:if a quarter equals 25cents and you have 2 quarters,you have to add .25+25 that equals 50 this is a simple way to do it.

Answer:

the surface area of the prisim is 136

Answer: The surface area is 96

Step-by-step explanation: