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2 years ago

127.86 +78.95 +23.09

Mathematics

2 answers:

rjkz [21]2 years ago

4 0

Answer:

229.9

Step-by-step explanation:

Reika [66]2 years ago

3 0

Answer:

229.9

Step-by-step explanation:

Uh easyyyyy lol

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What is the recursive formula for this arithmetic sequence 6, -24, 96, -384

Artemon [7]

Answer:

Option A. $a_{1} =6$ $a_{n}= a_{n-1}(-4)$

Step-by-step explanation:

The given sequence in the question is 6,-24,96,-384.......n

and we have to give the recursive formula for this arithmetic sequence.

We can re write the sequence to make it more simpler

6,6(-4),(-24)(-4),(96)(-4).......n terms

Now we can say $a_{1} = 6$

and $a_{n}= a_{n-1}(-4)$

Therefore the recursive formula of the sequence is $a_{1} = 6$

$a_{n}= a_{n-1}(-4)$

7 0

2 years ago

2 (h-8)-h = h-16 what is the solution

Svetach [21]

Let's solve your equation step-by-step.2(h−8)−h=h−16Step 1: Simplify both sides of the equation.2(h−8)−h=h−16Simplify: (Show steps)h−16=h−16Step 2: Subtract h from both sides.h−16−h=h−16−h−16=−16
Step 3: Add 16 to both sides.−16+16=−16+160=0Answer:All real numbers are solutions.

6 0

2 years ago

Write the word sentence as an equation. Then solve.

natima [27]

Answer:25x=320=12.8

Step-by-step explanation:

a number=x

x*25=25x

25x=320

320/25=12.8

x=12.8

5 0

2 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

If the train that megan is riding covers 80miles in 2hours how fast is the train traveling

Gelneren [198K]

The Train Is Running 40 MPH

How To Show Ur Work: ^^^^^^^

7 0

3 years ago