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3 years ago

Which expression is equal to a•a•a•a•b•b

Mathematics

2 answers:

Alona [7]3 years ago

8 0

A*a*a*a*b*b simplifies into a^4*b^2 or $a^{4}$ $b^{2}$

Ronch [10]3 years ago

8 0

Since there are 4 A's and 2 B's the expression would be
a^4b^2

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Help please!!!!!!!!!!

Lelechka [254]

Answer:

I think it's 96 not sure though

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3 years ago

Solve each triangle: Find all the missing sides and angles. Round answers to the nearest tenth.

horrorfan [7]

Step-by-step explanation:

$let \: angle \: be \: \alpha \\ \tan( \alpha ) = \frac{p}{b} \\ \tan(69.9) = \frac{9.7}{bc} \\ bc = \frac{9.7}{2.73} \\ bc = 3.55 \\ by \: using \: pythagorean \: theorem \\ ab = \sqrt{ {9.7}^{2} } + {2.73}^{2} \\ ab = 10.07$

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1 year ago

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

A ditch contains 10 centimeters of water. Rainwater accumulates in the ditch as follows: 10 centimeters of water by the end of t

kondaur [170]

Firstly, let's create a function of f(t) where t represents the time that has past, and f(t) represents the amount of rainwater. We know that when t=1, then f(t)=10, and t=2 then f(t)=15. So, let's take that and analyze it:

(1,10)
(2,15)
m = (15-10)/(2-1) = 5
y-intercept = 5
∴ f(t) = 5t+5

Now we just evaluate t for 10:

f(10) = (5*10)+5
f(10) = 55

3 0

3 years ago

Some one please help me this is my final question i think i have the right answers but im not sure

Xelga [282]

Asked and answered elsewhere.
brainly.com/question/9436435

3 0

3 years ago