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Here's the first one....alll the rest are just the same idea.......

The vertical position function is :   h(t)  = vsin(theta) t - (4.9)t^2     where v is the original velocity, theta is the launch angle, and h is the height at any time

So, taking the derivative of this and setting it to 0, we have

h'(t) = 20sin(15) - (9.8)t  = 0      and solving this for t, we have.....t = 0.528202 seconds......

And this is the time to reach the max ht

And that height = 20sin(15)(0.528202) - (4.9)(0.528202)^2   = 1.36709m

And the horizontal displacement (range) = v * t , where v is the intital velocity and t is the total time..... 20m/s * (2*0.528202)s  = 21.128m

2.0 x 10^22 x (1/6.022 x 10^23), Is your second term:

1/(6.022 X 10^23)=1.6606 X 10^-24, OR........................(1)

((1/6.022) X 10^23)=1.6606 X 10^22..............................(2)

0.033211557622...............Answer to (1)

3.3212 X 10^44.................Answer to (2)

y=-3(0)+2=  0 + 2 = 2

2¹ = 2

2² = 4

2³ = 8

2⁴ = 16

2⁵ = 32

... and so on.

Likewise,

2^-1 = 1/2

2^-2 = 1/4

2^-3 = 1/8

2^-4 = 1/16

2^-5 = 1/32

... and so on.

See the pattern? Every number to the power of zero ends up being itself divided by itself, which always equals 1.

720 km

Look at the graph. Look at hour 12. The faster motorcycle traveled twice as far the slower motorcycle had 4 hours ago.

Look at how far the slower motorcycle went at hour 8. 720 km

I hope this was useful :)

Infinity is not a number. It's an idea. You can't work with infinity like you can with numbers and variables.

All you need to do here is multiply the terms.

-9 * 8x = -72x

-9(8x) simplifies to -72x.

When there is a number next to a letter, then you multiply the nimber by that letter.

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 lol omg eazzzzz!!!!!!!!

u stupid lol

How do I skip that robot thing my pics won't load so I always have to guess :( and I can't tell half the time what they  are because I'm on a apple device not computer 

All it is asking is for the answer of 228/16 so the answer is 14.25

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The most likely  answers would be 15 15 and 30 because 20 is 15+15+30 = 60/3 = 20

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i dont know lol

(x)=xlnx-e^2^x+x^-2

\(x=xlnx-(e^2)^x+x^{-2}\\\\ x=xlnx-e^{2x}+\frac{1}{x^{2}}\\\\ \)

Here is a graphical solution

https://www.desmos.com/calculator/g5xyac7btt

It shows that x=0.52, y=0.52 is the approximate solution.

One of the problems here is that I do not know what you mean by  e^2^x 

There is an order of operation definition but I can never remember what it is and it may not be what you mean anyway.

Do you mean

\((e^2)^x\;\;\;or\;\;\;e^{2^x}\)

they are different. :)

Here is a graphical solution to the other interpretation

https://www.desmos.com/calculator/jfh1wedmr4

The approximate solution is here x=0.458, y=0.458

Well what is your question ???? 

Take 9.85 and divide that by 5 so 9.85/5= 1.97 then 1.97*7= 13.97

it Costs 13.97 dollars 

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1.4

No it can't

I think guest was thinking it was negative 6

The answer to 6/5 is 1.2 also you could estimate the answer because 6/6 is 1 and 6/5 is around the same 

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Use the following formula to learn how to do it. You have to use a calculator:h = v(sin theta)t + 1/2 (-9.8) t^2, where h=height, t=time in seconds. Good luck.

Sorry guest -2 is incorrect the correct answer is 10 because your taking away negative for positive and that's like adding the number to the positive 

(6+4=10) and 6-(-4)= 10 you must put brackets into the calculator to make it correct. 

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