A cylinder that had a height of 20 cm and a radius of 3 cm. What will be the volume of a cone with the same dimension?

Answer:

I think its C......Yea C..................

Step-by-step explanation:

Answer:

i think its 10.71 i dont know if i got it right your welcome

Step-by-step explanation:

Answer:

$10.71

Step-by-step explanation:

It might help to draw out a probability tree. Check out the diagram below. The first two branches at the top represent bags A and B. The probability of picking either bag is 1/2 assuming each bag is equally likely to be picked.

If we go with bag A, then the probability of getting blue is 3/11 since there are 3 blue out of 8+3 = 11 total. The probability of getting bag A and a blue marble is (1/2)*(3/11) = 3/22 which I've marked in the diagram as well.

If we go with bag B, then the probability of getting blue is 7/12 since there are 7 blue out of 5+7 = 12 total. The probability of getting bag B and blue is (1/2)*(7/12) = 7/24

Add up the results found getting

P(blue) = P(blue & bag A) + P(blue & bag B)

P(blue) = 3/22 + 7/24

P(blue) = 36/264 + 77/264

P(blue) = 113/264

This is shown in the diagram as well.

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Recall that conditional probability in general is defined as follows

P(A given B) = P(A and B)/P(B)

In this problem, we'll have

P(bag B given blue) = P(bag B and blue)/P(blue)

Therefore, we can say...

P(bag B given blue) = P(bag B and blue)/P(blue)

P(bag B given blue) = (7/24)/(113/264)

P(bag B given blue) = (7/24)*(264/113)

P(bag B given blue) = (7*264)/(24*113)

P(bag B given blue) = (7*24*11)/(24*113)

P(bag B given blue) = (7*11)/(113)

P(bag B given blue) = 77/113

In short, the probability of getting bag B, given the marble is blue, is 77/113.

Answer:

I'm dumb hwhsbdbshagebsvxv

Answer:

3x=4x+19 (extarior angels of parallel )

3x-4x=19

_1x=19

x=_19

Answer: The blue dot is at -22

Step-by-step explanation:

The distance between two line is shown to be 6, so you subtract six from -16 to find the value of the dot.

Answer:

-22

Step-by-step explanation:

the distance between -10 and -16 is 6 and 6 divided by 2 is 3. I add -6 to -16 to get -22

Answer:

green

Step-by-step explanation:

green has a higher possible of being picked over blue

Answer:

Congruent, ASA Congruency Theorem

Step-by-step explanation:

Answer: 9.44 seconds

Step-by-step explanation:

A movement equation in the vertical axis is usually written as follows:

p(t) = (-g/2)*t^2 + v0*t + p0

where:

g is the gravitational acceleration, in this case is 32 ft/s^2, then -g/2 = -16ft/s^2

v0 is the initial velocity, in this case, 24 ft/s

p0 is the initial height, in this case, 1200ft

Then, when p(t)  = 0ft will mean that the pebble will hit the ground, then we need to calculate:

p(t) = -16t^2+24t+1200  = 0

and find the value of t, this is a quadratic equation, then we can use the Bhaskara equation to find the two solutions, these are:

[tex]t = \frac{-24 +- \sqrt{24^2 - 4*(-16)*1200} }{2*-16} = \frac{-24 +- 278.2}{-32}[/tex]

Then the two solutions are:

t = (-24  + 278.2)/-32 = -7.94 seconds (we can discard this one, because the negative time is not really defined)

t = (-24 - 278.2)/-32 = 9.44 seconds

Then the pebble needs 9.44 seconds to hit the ground

Answer:

1/x^2+2x

Step-by-step explanation:

Step-by-step explanation:

x-intercept: 2x + 5(0) = -6

2x = -6

x = -3

y-intercept: 2(0) + 5y = -6

y = -6/5

topic: coordinate geometry

If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

Hey you’ve got it right on ur screen.

Answer:

683004.00

3854.93

Step-by-step explanation:

Answer:

d. x=21

Step-by-step explanation:

x-4=17

x-4 +4=17+4

x=21

Answer:

240000

Step-by-step explanation:

20x600=12000

12000x20=240000

Answer:

1. 1/4 cup of molasses.

2. 72 1/2 strips.

3. 7 1/2 hours.

Step-by-step explanation:

Answer:

qwertyu

Step-by-step explanation:

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yuiuytrertyuiuytrewrtyutrewertyuytrertyuytre

rtyuytrtyuytrertytrertytretytrertytrerty

rertytrertytrtytrertytrertytrerty

rertrertrertrertytrertyrertr

ertrertrertretyretytr

rertretrrtret

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t

Answer:

A, B, D are true

Step-by-step explanation:

A)  Speed = Distance travelled ÷ time taken

                 = 112 ÷ 1.75

                  = 64 miles per hour

True

B) Cost of 6 pens = $7.74

   Cost of 1 pen    = 7.74 ÷ 6 = $ 1.29

   Cost of 7 pens = 1.29 * 7   = $ 9.03

TRUE

C) Speed = 57 miles per hour

4 hour 10 minutes = 250 minutes

Distance traveled in an hour  = 57

Distance traveled in 250 minutes = (57* 250)   ÷ 60 = 237.50 miles

FALSE

D) Cost of 17 cans = $ 38.59

   Cost of 1 can      = 38.59 ÷ 17 = $2.27

   Cost of 3 cans    = 2.27 * 3 = $ 6.81

TRUE

e) Cost of two dozen eggs = $ 8.40

    Cost of an egg                = 8.40 ÷  24  =   $ 0.35

FALSE

The conditions would be represented by the following set of inequalities:

An inequality can be defined as a mathematical relation for comparing two (2) or more integers or variables in an equation based on any of the following:

In this scenario, the ratio of fruit to nuts in the crunchy trail mix is equal to 1:3. Therefore, 1/4 of each bag contain fruits while 3/4 contain nuts.

Mathematically, these conditions would be represented by the following set of inequalities:

1/2 × (c + 5f) ≤ 30  ⇒ c + 5f ≤ 60.

1/2 × (3c + 3f) ≤ 50  ⇒ 3c + 3f ≤ 100.

c ≥ 0. f ≥ 0.

Read more on inequality here: https://brainly.com/question/24372553

#SPJ2

Answer:

Yes

Step-by-step explanation:

Since the base numbers (141) is the same, we can ignore that.

Now, let's look at .3 and .05.

.3 is the same as .30.

If we remove the decimal point, we're looking at 30 and 5. 30 is greater than 5, so 141.3 is greater than 141.05.

The conjugate of a complex number z = a + b i is z * = a - b i. So

(4 - 7i ) + (2 + 3i )* = (4 - 7i ) + (2 - 3i )

… = (4 + 2) + (-7i - 3i)

… = 6 - 10i

and the answer is D.

Answer:

11/5

Step-by-step explanation:

its 11/5

Answer:

[tex]m=\frac{11}{5} \\\\m=2\frac{1}{5}[/tex]

Step-by-step explanation:

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-9,\:-6\right),\:\\\left(x_2,\:y_2\right)=\left(-4,\:5\right)\\\\m=\frac{5-\left(-6\right)}{-4-\left(-9\right)}\\\\m = \frac{5+6}{-4+9}\\\\m=\frac{11}{5} \\\\m=2\frac{1}{5}[/tex]

Answer:

$.09 per inch

Step-by-step explanation:

1 foot = 12 inches

Multiply each side by 7

7 ft = 12*7 = 84 inches

Take the cost and divide by the number of inches

$7.56 / 84 inches

$.09 per inch

Answer: 0.09 per inch  because multiply that by 12 and thats a foot and multiply that by 7 and you'll get 7.56

Step-by-step explanation:

Answer:

The length is 15 yards

Step-by-step explanation:

Given

Represent the width with W and length with L: So

[tex]Area = 135yd^2[/tex]

[tex]L=3W - 12[/tex]

Required

Determine the length of the rectangle:

Area is calculated as thus:

[tex]Area = L * W[/tex]

Substitute 3W - 12 for L and 135 for Area

[tex]135= (3W - 12) * W[/tex]

[tex]135= 3W^2 - 12W[/tex]

Reorder:

[tex]3W^2 - 12W - 135= 0[/tex]

Divide through by 3

[tex]W^2 - 4W - 45 = 0[/tex]

Expand:

[tex]W^2 - 9W + 5W - 45 = 0[/tex]

[tex]W(W - 9) + 5(W - 9) = 0[/tex]

[tex](W + 5)(W-9) = 0[/tex]

[tex]W + 5 = 0[/tex] or [tex]W - 9 = 0[/tex]

[tex]W = -5[/tex] or [tex]W = 9[/tex]

But width can't be negative

So:

[tex]W = 9[/tex]

Recall that: [tex]L=3W - 12[/tex]

[tex]L = 3 * 9 - 12[/tex]

[tex]L = 15[/tex]

Hence, the length 15 yards

Answer:

4096π / 5

Step-by-step explanation:

∫∫∫ (x² + y² + z²) dV

In spherical coordinates, x² + y² + z² = r², and dV = r² sin φ dr dθ dφ.

E is the range 0 ≤ r ≤ 4, 0 ≤ φ ≤ π, 0 ≤ θ ≤ 2π.

∫₀ᵖⁱ∫₀²ᵖⁱ∫₀⁴ (r²) (r² sin φ dr dθ dφ)

∫₀ᵖⁱ∫₀²ᵖⁱ∫₀⁴ (r⁴ sin φ) dr dθ dφ

Evaluate the first integral.

∫₀ᵖⁱ∫₀²ᵖⁱ (⅕ r⁵ sin φ)|₀⁴ dθ dφ

∫₀ᵖⁱ∫₀²ᵖⁱ (¹⁰²⁴/₅ sin φ) dθ dφ

¹⁰²⁴/₅ ∫₀ᵖⁱ∫₀²ᵖⁱ (sin φ) dθ dφ

Evaluate the second integral.

¹⁰²⁴/₅ ∫₀ᵖⁱ (θ sin φ)|₀²ᵖⁱ dφ

¹⁰²⁴/₅ ∫₀ᵖⁱ (2π sin φ) dφ

²⁰⁴⁸/₅ π ∫₀ᵖⁱ sin φ dφ

Evaluate the third integral.

²⁰⁴⁸/₅ π (-cos φ)|₀ᵖⁱ

²⁰⁴⁸/₅ π (-cos π + cos 0)

²⁰⁴⁸/₅ π (1 + 1)

⁴⁰⁹⁶/₅ π

Answer:

[tex]\displaystyle \iiint_E {x^2 + y^2 + z^2} \, dV = \frac{4096 \pi}{5}[/tex]

General Formulas and Concepts:
Calculus

Integration

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 [Multiplied Constant]:
[tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

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

Multivariable Calculus

Triple Integrals

Cylindrical Coordinate Conversions:

Spherical Coordinate Conversions:

Integral Conversion [Spherical Coordinates]:
[tex]\displaystyle \iiint_T {f( \rho, \phi, \theta )} \, dV = \iiint_T {\rho^2 \sin \phi} \, d\rho \, d\phi \, d\theta[/tex]

Step-by-step explanation:

*Note:

Recall that φ is bounded by 0 ≤ φ ≤ 0.5π from the z-axis to the x-axis.

I will not show/explain any intermediate calculus steps as there isn't enough space.

Step 1: Define

Identify given.

[tex]\displaystyle \iiint_E {x^2 + y^2 + z^2} \, dV[/tex]

[tex]\displaystyle \text{Region E (Ball):} \ x^2 + y^2 + z^2 \leq 16[/tex]

Step 2: Integrate Pt. 1

Find ρ bounds.

Find θ bounds.

Find φ bounds.

Step 3: Integrate Pt. 2

We evaluate this spherical integral by using the integration rules, properties, and methods listed above:

[tex]\displaystyle \begin{aligned}\iiint_E {x^2 + y^2 + z^2} \, dV & = \int\limits^{2 \pi}_0 \int\limits^{\pi}_0 \int\limits^4_0 {\rho^4 \sin \phi} \, d\rho \, d\phi \, d\theta \\& = \int\limits^{2 \pi}_0 \int\limits^{\pi}_0 {\frac{\rho^5}{5} \sin \phi \bigg| \limits^{\rho = 4}_{\rho = 0}} \, d\phi \, d\theta \\& = \int\limits^{2 \pi}_0 \int\limits^{\pi}_0 {\frac{1024}{5} \sin \phi} \, d\phi \, d\theta\end{aligned}[/tex]

[tex]\displaystyle \begin{aligned}\iiint_E {x^2 + y^2 + z^2} \, dV & = \int\limits^{2 \pi}_0 {\frac{-1024}{5} \cos \phi \bigg| \limits^{\phi = \pi}_{\phi = 0}} \, d\theta \\& = \int\limits^{2 \pi}_0 {\frac{2048}{5}} \, d\theta \\& = \frac{2048}{5} \theta \bigg| \limits^{\theta = 2 \pi}_{\theta = 0} \\& = \frac{4096 \pi}{5}\end{aligned}[/tex]

∴ we have evaluated the given integral in spherical coordinates.

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Learn more about spherical coordinates: https://brainly.com/question/17166987

Learn more about multivariable calculus: https://brainly.com/question/4746216

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Topic: Multivariable Calculus

Unit: Triple Integrals Applications

Answer:

x = 4/5, and x = 3

Step-by-step explanation:

set both parts of the equation equal to 0

-5x+4 =0

-5x= -4

divide by -5

x= 4/5

x-3 = 0

x=3

Answer:

a) 2260 cm³

b) 3390 grams

Step-by-step explanation:

3.

a)The radius of the solid cylinder = 6cm

The height of the cylinder is =20 cm

The volume = π*r²*h

The volume = 3.14 * 6²*20 =2260 cm³

b) Density of the material = 1.5 g/cm³

  Volume of the cylinder = 2261 cm³

  Mass of the cylinder = Density * Volume

  Mass of the cylinder = 1.5 * 2261 = 3390 grams