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Maksim231197 [3]

2 years ago

11

In Zoie's class, 7/10 of the students walk to school. Another 1/5 of the students ride their bikes. The other students ride on t

he school bus. What fraction of the class rides on the school bus?

1 answer:

Mila [183]2 years ago

3 0

Answer:

ion know

Step-by-step explanation:

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Please answer thanks u

kherson [118]

Answer: A is the answer

Explanation: A plane consist of 3 point but it can also be called by one specific point. And in the figure A there is one specific point. We can call it plane A

6 0

3 years ago

John has less than 15 video games what is the inequality?

lidiya [134]

Answer: well, we don't have another number so i'll use variables

VG < 15

An easy way to remember what is the lesser value is to think of an alligator; the alligator wants to eat the bigger prey so in your case the bigger prey would be 15.

6 0

3 years ago

3x2 + 11x-42<br> How to factor this

mash [69]

I think it’s 468 I might be wrong

7 0

3 years ago

The graphs of the polar curves r = 4 and r = 3 + 2cosθ are shown in the figure above. The curves intersect at θ = π/3 and θ = 5π

Gennadij [26K]

(a)

$\displaystyle \frac{1}{2} \cdot \int_{\frac{\pi}{3}}^{\frac{5\pi}{3}} \left(4^2 - (3 + 2\cos\theta)^2 \right) \, d\theta$

or, via symmetry

$\displaystyle\frac{1}{2} \cdot 2 \int_{\frac{\pi}{3}}^{\pi} \left(4^2 - (3 + 2\cos\theta)^2 \right) \, d\theta$

____________

(b)

By the chain rule:

$\displaystyle \frac{dy}{dx} = \frac{ dy/ d\theta}{ dx/ d\theta}$

For polar coordinates, x = rcosθ and y = rsinθ. Since
<span>r = 3 + 2cosθ, it follows that

$x = (3 + 2\cos\theta) \cos \theta \\ 
y = (3 + 2\cos\theta) \sin \theta$

Differentiating with respect to theta

$\begin{aligned}
\displaystyle \frac{dy}{dx} &= \frac{ dy/ d\theta}{ dx/ d\theta} \\
&= \frac{(3 + 2\cos\theta)(\cos\theta) + (-2\sin\theta)(\sin\theta)}{(3 + 2\cos\theta)(-\sin\theta) + (-2\sin\theta)(\cos\theta)} \\ \\
\left.\frac{dy}{dx}\right_{\theta = \frac{\pi}{2}}
&= 2/3
\end{aligned}$

2/3 is the slope

____________

(c)

"</span><span>distance between the particle and the origin increases at a constant rate of 3 units per second" implies dr/dt = 3

A</span>ngle θ and r are related via <span>r = 3 + 2cosθ, so implicitly differentiating with respect to time

</span><span /> $\displaystyle\frac{dr}{dt} = -2\sin\theta \frac{d\theta}{dt} \quad \stackrel{\theta = \pi/3}{\implies} \quad 3 = -2\left( \frac{\sqrt{3}}{2}}\right) \frac{d\theta}{dt} \implies \\ \\ \frac{d\theta}{dt} = -\sqrt{3} \text{ radians per second}$

5 0

3 years ago

Tyler has at most $20 to spend on rides and games at the carnival. Each ride costs $0.75 and each game costs $0.50. Which inequa

GaryK [48]

Answer:

The inequality that can be used to determine how many rides r and games g Tyler can pay for at the carnival is:

0.75r+0.50g≤20, where:

r is the number of rides

g is the number of games

Step-by-step explanation:

With the information provided, you can say that the amount spent at the carnival is equal to the cost per ride for the number of rides plus the cost per game for the number of games. Also, given that the statement indicates that Tyler has at most $20, the inequality would indicate that the amount spent has to be less than or equal to 20. According to this, the inequality that can be used to determine how many rides r and games g Tyler can pay for at the carnival is:

0.75r+0.50g≤20, where:

r is the number of rides

g is the number of games

3 0

3 years ago