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3 years ago

Pls i need it in 10 mins

Mathematics

1 answer:

Levart [38]3 years ago

5 0

At the start they both have 200?

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A rubber band ball weighed some amount. Fatima added two rubber bands to the ball, and now the ball weighed 88 grams. Fatima add

earnstyle [38]

Answer:

Step-by-step explanation:

8 0

3 years ago

Aida applied the distributive property to write the equivalent expressions below.

morpeh [17]

Answer:

The answer is b

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

If Sarah invests $5,000 into a fund that earns 6% interest compounded annually, how long will it take for her investment to grow

yarga [219]

Answer:

Step-by-step explanation:

so next year her money would be 6% more so:

5000 + (0.6 * 5000) = (1.06) * 5000

So each year she'll have : (1.06)*(last year's money)

So we can say after n years she will have :

((1.06)^n) * 5000

So:

5000((1.06)^n)=50000

n is 39.5

So around 40

6 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
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)

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

Angle θ and r are related via r = 3 + 2cosθ, so implicitly differentiating with respect to time

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

5 0

3 years ago

What is the value of x?

Serggg [28]

Answer:

Step-by-step explanation:

the angles of a triangle add up to180.

70 plus 30 plus x = 180

100 plus x =180

x=80

8 0

3 years ago

Pls i need it in 10 mins ​

Pls i need it in 10 mins