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2 years ago

(80 + 240 times 3) ÷ 20 Solve the equation

Mathematics

1 answer:

shutvik [7]2 years ago

8 0

240x3= 720

720+80 = 800

800/20= 40

The answer is 40.

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Find derivative problem<br> Find B’(6)

dalvyx [7]

Answer:

$B^\prime(6) \approx -28.17$

Step-by-step explanation:

We have:

$\displaystyle B(t)=24.6\sin(\frac{\pi t}{10})(8-t)$

And we want to find B’(6).

So, we will need to find B(t) first. To do so, we will take the derivative of both sides with respect to x. Hence:

$\displaystyle B^\prime(t)=\frac{d}{dt}[24.6\sin(\frac{\pi t}{10})(8-t)]$

We can move the constant outside:

$\displaystyle B^\prime(t)=24.6\frac{d}{dt}[\sin(\frac{\pi t}{10})(8-t)]$

Now, we will utilize the product rule. The product rule is:

$(uv)^\prime=u^\prime v+u v^\prime$

We will let:

$\displaystyle u=\sin(\frac{\pi t}{10})\text{ and } \\ \\ v=8-t$

Then:

$\displaystyle u^\prime=\frac{\pi}{10}\cos(\frac{\pi t}{10})\text{ and } \\ \\ v^\prime= -1$

(The derivative of u was determined using the chain rule.)

Then it follows that:

$\displaystyle \begin{aligned} B^\prime(t)&=24.6\frac{d}{dt}[\sin(\frac{\pi t}{10})(8-t)] \\ \\ &=24.6[(\frac{\pi}{10}\cos(\frac{\pi t}{10}))(8-t) - \sin(\frac{\pi t}{10})] \end{aligned}$

Therefore:

$\displaystyle B^\prime(6) =24.6[(\frac{\pi}{10}\cos(\frac{\pi (6)}{10}))(8-(6))- \sin(\frac{\pi (6)}{10})]$

By simplification:

$\displaystyle B^\prime(6)=24.6 [\frac{\pi}{10}\cos(\frac{3\pi}{5})(2)-\sin(\frac{3\pi}{5})] \approx -28.17$

So, the slope of the tangent line to the point (6, B(6)) is -28.17.

5 0

3 years ago

What term refers slope

Serga [27]

In y = mx+b, m is the term that refers to slope

hope this helps

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3 years ago

Jason earns $28 for every 4 lawns he mows.

aleksandr82 [10.1K]

Answer:

This could easily be answered with a culculator but the answer is 20.

Step-by-step explanation:

5x4=20

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4 years ago

64.3- 3 x 23 - 2 is what.

Lena [83]

Answer: -6.7

Step-by-step explanation:

64.3−(3)(23)−2

=−6.7

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3 years ago

Read 2 more answers

If Mrs. Maiers buys 24 stickers, is the cost of each sticker more then or less then 0.50

siniylev [52]

0.50 24 times is the answer just multiply them

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3 years ago