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2 years ago

Can you help me do this Q please :)

Mathematics

1 answer:

goldenfox [79]2 years ago

3 0

Answer:

i didnt get it

Step-by-step explanation:

can you explain

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Ava wants to ride her bicycle more than 75 miles this week. She has already ridden her bicycle 16 miles. Which inequality could

Whitepunk [10]

Answer:

I think it may be 5m + 16 < 75

Step-by-step explanation:

I don't know if its wrong

6 0

2 years ago

A sphere of radius r is cut by a plane h units above the equator, where

Anika [276]

Consider the top half of a sphere centered at the origin with radius $r$ , which can be described by the equation

$z=\sqrt{r^2-x^2-y^2}$

and consider a plane

$z=h$

with $0$ . Call the region between the two surfaces $R$ . The volume of $R$ is given by the triple integral

$\displaystyle\iiint_R\mathrm dV=\int_{-\sqrt{r^2-h^2}}^{\sqrt{r^2-h^2}}\int_{-\sqrt{r^2-h^2-x^2}}^{\sqrt{r^2-h^2-x^2}}\int_h^{\sqrt{r^2-x^2-y^2}}\mathrm dz\,\mathrm dy\,\mathrm dx$

Converting to polar coordinates will help make this computation easier. Set

$\begin{cases}x=\rho\cos\theta\sin\varphi\\y=\rho\sin\theta\sin\varphi\\z=\rho\cos\var\phi\end{cases}\implies\mathrm dx\,\mathrm dy\,\mathrm dz=\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi$

Now, the volume can be computed with the integral

$\displaystyle\iiint_R\mathrm dV=\int_0^{2\pi}\int_0^{\arctan\frac{\sqrt{r^2-h^2}}h}\int_{h\sec\varphi}^r\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\varphi\,\mathrm d\theta$

You should get

$\dfrac{2\pi}3\left(r^3\arctan\dfrac{\sqrt{r^2-h^2}}h-\dfrac{h^3}2\left(\dfrac{r\sqrt{r^2-h^2}}{h^2}+\ln\dfrac{r+\sqrt{r^2-h^2}}h\right)\right)$

5 0

2 years ago

2x+3y < 6 у Х + 1 What is the solution

qaws [65]

Answer:

Step-by-step explanation:

X <3y+1

4 0

2 years ago

Which situation CANNOT be represented by this equation? 3x – 5 = 25 Clay has 25 marbles to trade for some of Mark's baseball car

Flura [38]

Clay has 25 marbles to trade for some of Mark's baseball cards. If Clay makes the trade today, Mark will give him a discount of 3 marbles. If each card is worth 5 marbles, how many baseball cards, x, will Clay get?

^^ That is the situation that does NOT represent the equation

4 0

2 years ago

Read 2 more answers

Which of the following is an experiment?

mr Goodwill [35]

I think number 2 because the other answers doesn't seem like an experiment

7 0

2 years ago