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poizon [28]
2 years ago
5

7. You roll a standard dice twice and flip a coin. What is the probability you 5 points

Mathematics
2 answers:
Veronika [31]2 years ago
5 0

Answer:

can you just mark me brainlest

Step-by-step explanation:

ZanzabumX [31]2 years ago
5 0

Answer:

the answer would probably

Step-by-step explanation:

PAY ATTENTION IN CLASS AND YOU WOULD KNOWWW

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The hemisphere of radius r is made from a stack of very thin plates such that the density varies with height, r = kz, where k is
Papessa [141]

Answer:

M = ¼ k π R⁴

zG = 8/15 R

Step-by-step explanation:

Note: I'm using lower case r as the radius of each plate and upper case R as the radius of the hemisphere.

The mass of each plate is density times volume:

dm = ρ dV

Each plate has a radius r and a thickness dz.  So the volume of each plate is:

dV = π r² dz

Substituting:

dm = ρ π r² dz

We're told that ρ = kz.  Substituting:

dm = kz π r² dz

Next, we need to write the radius r in terms of the height z.  To do that, we need to look at the cross section (see image below).

The height z and the radius r form a right triangle, where the hypotenuse is the radius of the hemisphere R.

Using Pythagorean theorem:

z² + r² = R²

r² = R² − z²

Substituting:

dm = kπ z (R² − z²) dz

We now have the mass of each plate as a function of its height.  To find the total mass, we integrate between z=0 and z=R.

M = ∫ dm

M = ∫₀ᴿ  kπ z (R² − z²) dz

M = kπ ∫₀ᴿ (R² z − z³) dz

M = kπ (½ R² z² − ¼ z⁴) |₀ᴿ

M = kπ (½ R⁴ − ¼ R⁴)

M = ¼ k π R⁴

Next, to find the center of gravity, we use the weighted average:

zG = (∫ z dm) / (∫ dm)

zG = (∫ z dm) / M

We already found M, we just have to evaluate the other integral:

∫ z dm

∫₀ᴿ kπ z² (R² − z²) dz

kπ ∫₀ᴿ (R² z² − z⁴) dz

kπ (⅓ R² z³ − ⅕ z⁵) |₀ᴿ

kπ (⅓ R⁵ − ⅕ R⁵)

²/₁₅ k π R⁵

Plugging in:

zG = (²/₁₅ k π R⁵) / (¼ k π R⁴)

zG = ⁸/₁₅ R

5 0
3 years ago
How to find the mean
Marta_Voda [28]
Mean is another word for average add all the values and divide by the numbers in the set
7 0
3 years ago
Read 2 more answers
Has anyone got an answer for this question
emmainna [20.7K]

Answer:

7a + 5b  + 4.

Step-by-step explanation:

Adding like terms, 3a + 5a is 8a. 8a -a is 7a. Then 8b - 3b is 5b. Then there are no more like terms. You are left with 7a + 5b + 4.

7 0
3 years ago
Read 2 more answers
What type of music yall listen to? what's 2×2?​
rodikova [14]

Answer:

rap mostly... though I can find some catchy pop music

Step-by-step explanation:

8 0
3 years ago
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joseph drove from his summer home to his place of work. To avoid the road construction, joseph decided to travel the gravel road
Digiron [165]

The slope of the line and describe is the negative 0.5 which means in this situation will be negative 0.5 miles per minute.

<h3>What is the slope?</h3>

The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall, and the difference between the abscissa is called run.

Joseph drove from his summer home to his place of work.

To avoid the road construction, Joseph decided to travel the gravel road.

After driving 20 minutes, he was 62 miles away from work, and after driving 40 minutes, he was 52 miles away from work.

This situation is shown in the graph below.

Then the slope of the line and describe what it means in this situation will be

Slope = (52 – 62) / (40 – 20)

Slope = – 10 / 20

Slope = – 0.5 miles per minute

More about the slope link is given below.

brainly.com/question/3605446

#SPJ1

8 0
2 years ago
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