Answer:
for 48, the prime numbers I have obtained are 2, 3, 2, 2, and 2
Answer:
Barry's kart is faster as he goes 21 Mph while Alan only goes 19.89 Mph.
Step-by-step explanation:
First to get this answer we need to convert feet per minute to miles per hour. So we multiple 1750 feet per minute by 60 to get a hour. This gets up 105000 total feet in a hour. Now we need to divide this by 5280, which is how long a mile is, to get 19.89 miles which is how many miles he travels in a hour making him travel 19.89 mph which is less than 21 making Barry faster.
answer: she is right that y = 29, but step three should be addition property of equality.
work: let's see how she worked to isolate y. she started by subtracting 2y from both sides, so so far she is correct. after that, she added 84 to both sides, and again that is a correct step, but her proof is wrong, since you are adding and not subtracting 84, it's the addition property of equality. lastly, she divided 145 by and correctly got 29. so yes, she is correct.
<h3>
Answer: 9V</h3>
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Reason:
The volume expression of a cone with radius r and height h is
![\frac{1}{3}\pi*r^2*h](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%5Cpi%2Ar%5E2%2Ah)
Let's plug in the given height h = 12 and we'd get
![\frac{1}{3}\pi*r^2*h\\\\\frac{1}{3}\pi*r^2*12\\\\\left(\frac{1}{3}*12\right)\pi*r^2\\\\4\pi*r^2\\\\](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%5Cpi%2Ar%5E2%2Ah%5C%5C%5C%5C%5Cfrac%7B1%7D%7B3%7D%5Cpi%2Ar%5E2%2A12%5C%5C%5C%5C%5Cleft%28%5Cfrac%7B1%7D%7B3%7D%2A12%5Cright%29%5Cpi%2Ar%5E2%5C%5C%5C%5C4%5Cpi%2Ar%5E2%5C%5C%5C%5C)
This is the volume of the first cone. We're told the first cone has a volume of V, so we can say ![V = 4\pi r^2](https://tex.z-dn.net/?f=V%20%3D%204%5Cpi%20r%5E2)
We can't find the actual numeric volume because we don't know what value replaces r. So we leave it as is.
The second cone has the same height (h = 12) but the radius is now 3 times in size. Instead of r, we use 3r
Replace every copy of r with 3r. Then simplify
![4\pi*r^2\\\\4\pi*(3r)^2\\\\4\pi*9r^2\\\\9(4\pi r^2)\\\\9V\\\\](https://tex.z-dn.net/?f=4%5Cpi%2Ar%5E2%5C%5C%5C%5C4%5Cpi%2A%283r%29%5E2%5C%5C%5C%5C4%5Cpi%2A9r%5E2%5C%5C%5C%5C9%284%5Cpi%20r%5E2%29%5C%5C%5C%5C9V%5C%5C%5C%5C)
The radius tripled which results in a volume that's 9 times bigger.
Answer:
3x = 6
Step-by-step explanation:
3x are on the left
6 are on the right
3x = 6 since the scale is balanced