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3 years ago

What’s the anwser to this problem

Mathematics

2 answers:

alexgriva [62]3 years ago

5 0

Answer:

B. $358

Step-by-step explanation:

the way you would get this would be to add -142+500

marishachu [46]3 years ago

4 0

Answer:

Step-by-step explanation:

Take his original balance (-142) and add the deposit (500) to get $358.

Hope this helps!

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Help me pls i don’t know the answer

sleet_krkn [62]

Answer:

Step-by-step explanation:

$10 \log( \frac{106.8}{1 \times {10}^{ - 12} } ) \approx 140$

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1 year ago

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What is the slope of the line that passes through the point (-9,8) and (-3-1)?

natulia [17]

Answer:

Step-by-step explanation:

(x₁, y₁) = (-9 ,8) and (x₂ , y₂) = (-3 , -1)

$Slope = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{-1-8}{-3-[-9]}\\\\=\dfrac{-9}{-3+9}\\\\=\dfrac{-9}{6}\\\\=\dfrac{-3}{2}$

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2 years ago

larry used 84% of his money in his savings account to buy a dirt bike that costs 1,050. how much money is left in the acount aft

Bogdan [553]

The answer should be either b or d but i’m not too sure

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3 years ago

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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

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

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3 years ago

Vertex form of y=-4x^2+4x-6

AlexFokin [52]

Answer:

Step-by-step explanation:

y = -4x^2 + 4x + 6

Factor out the leading coefficient:

y = -4(x^2 - x) + 6

Complete the square:

y = -4(x^2 - x + (½)^2) + 4(½)^2 + 6

= -4(x-½)^2 + 7

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3 years ago