Answer:
Mercury, Venus, Earth, Mars, and Uranus
Step-by-step explanation:
Calculate the escape velocity for each planet, using the equation v = √(2gR).
![\left[\begin{array}{cccc}Planet&R(m)&g(m/s^{2})&v(m/s)\\Mercury&2.43\times10^{6}&3.61&4190\\Venus&6.07\times10^{6}&8.83&10400\\Earth&6.37\times10^{6}&9.80&11200\\Mars&3.38\times10^{6}&3.75&5030\\Jupiter&6.98\times10^{7}&26.0&60200\\Saturn&5.82\times10^{7}&11.2&36100\\Uranus&2.35\times10^{7}&10.5&22200\\Neptune&2.27\times10^{7}&13.3&24600\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7DPlanet%26R%28m%29%26g%28m%2Fs%5E%7B2%7D%29%26v%28m%2Fs%29%5C%5CMercury%262.43%5Ctimes10%5E%7B6%7D%263.61%264190%5C%5CVenus%266.07%5Ctimes10%5E%7B6%7D%268.83%2610400%5C%5CEarth%266.37%5Ctimes10%5E%7B6%7D%269.80%2611200%5C%5CMars%263.38%5Ctimes10%5E%7B6%7D%263.75%265030%5C%5CJupiter%266.98%5Ctimes10%5E%7B7%7D%2626.0%2660200%5C%5CSaturn%265.82%5Ctimes10%5E%7B7%7D%2611.2%2636100%5C%5CUranus%262.35%5Ctimes10%5E%7B7%7D%2610.5%2622200%5C%5CNeptune%262.27%5Ctimes10%5E%7B7%7D%2613.3%2624600%5Cend%7Barray%7D%5Cright%5D)
The rocket's maximum velocity is double the Earth's escape velocity, or 22,400 m/s. So the planets the rocket can escape from are Mercury, Venus, Earth, Mars, and Uranus.
Answer:
$.80 or 80¢
Step-by-step explanation:
US Coin Denominations are as follows:
Quarters: $.25
Dime: $.10
Nickel: $.05
Penny: $.01
We can now use the following
(1*25)+(5*5)+(3*10)=80
Short answer: Radius of new circle = sqrt(6) * the original radius Area = pi * r^2
A1 = 6*Area = pi * (k * r) ^2
A1 = 6*Area = k^2 * pi * r^2 Set up a proportion.
Proportion
CommentThe As Cancel, the pis cancel the r^2 cancel.
1/6 = 1 / k^2 Cross multiply
k^2 = 6 Take the square root of both sides.
sqrt(k^2) = sqrt(6)
k = sqrt(6)
ConclusionThe radius increases by a factor of sqrt(6) times.
Discussion. You may not like this method very much, but you will do a lot of it in Physics or Chemistry. You may prefer the second method.
Step OneFind the area of the original circle
Area = pi * r^2
r = 10.9
pi = 3.14
Area = pi * r^2
Area = 3.14 * 10.9^2
Area = 3.14 * 118.81
Area = 373.1
Step 2Multiply this area by 6
Area1 = 6 * Area
Area1 = 6 * 373.1
Area1 = 2238.38
Step 3Find the radius of the bigger circle
Area1 = 2238.38
pi = 3.14
r = ????
Area1 = pi * r^2
2238.38 = 3.14 * r^2 Divide both sides by 3.14
2238/3.14 = r^2
r^2 = 712.86 Take the square root of both sides.
sqrt(r^2) = sqrt(712.86)
r = 26.6994
Step 4Divide by the original r
r/10.9 = 26.6994 / 10.9 = 2.44948
Here's where this get's a little messy. How do you know what to do with this. Perhaps just saying that the new radius = the original radius * 2.44958
But try taking the square root of 6 to see what happens.
sqrt(6) = 2.449489 is what you get, so the radius increases by sqrt(6) in size.
Comment
No matter which way you do this, it looks like a messy problem just because square root 6 is not easily recognized.
Answer:
Instead of moving right 4 times and up 7 times, John moved left 4 times and down 7 times.
Step-by-step explanation:
(x + 4, y + 7) = Right 4, Up 7
NOT
(x - 4, y - 7) = Left 4, Down 7
Answer:
The answer is D because, John is gonna keep running the multiples of 8.
Step-by-step explanation:
8X2= 16
