9514 1404 393
Answer:
2.1 ft³
Step-by-step explanation:
Put the given radius and height into the volume formula and do the arithmetic.
V = 1/3πr²h
V = 1/3(3.14159)(1 ft)²(2 ft) ≈ 2.094 ft³
Rounded to tenths, this is 2.1 cubic feet.
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The picture cuts off your rounding requirements. If it is hundredths, you need to use 2.09 ft³. If it is thousandths, your answer will depend on the value of pi you are asked to use.
The equation to be solved is: 3 [ 2 ^ (2t - 5) ] - 4 = 10
The steps are:
1) transpose - 4=> 3 [ 2^ (2t - 5) ] = 10 + 4
2) Combine like terms => 3 [2^ (2t - 5) ] = 14
3) Divide both terms by 3 => 2^ (2t - 5) = 14 / 3
4) Take logarithms of both sides => (2t - 5) log (2) = log (14/3)
5) Divide both sides by log (2) =>
log (14/3)
2t - 5 = -------------------
log (2)
6) transpose - 5+>
log (14/3)
2t = ------------------- + 5 = 2.22 + 5
log (2)
2t = 7.22
7) divide both sides by 2 => t = 7.22 / 2 = 3.61
We're in the screening room of an exotic little San Francisco Bay area production company called Pixar Animation Studios, watching the dailies of a major work-in-progress, director John Lasseter presiding. And not to get too hyperbolic here, but we're witnessing history being made before our very eyes. You've heard of Debbie Does Dallas? Call this Disney Does Digital.
Two years ago, less than a half-dozen feature films employed the use of computer graphics; this year maybe a half-dozen won't use any sort of digital enhancements. If Hollywood has suddenly embraced the computer as a significant (and cost-effective) illusion-making tool, then Disney's Toy Story is arguably the most ambitious computer-generated undertaking yet.
hope this helps!
Solution:
Given:
An integer is a whole number (not a fractional number) that can be positive, negative, or zero.
Writing each number as a sum of integers in three different ways,
Answer:
no
Step-by-step explanation:
z^2 +1=4+3z
Substitute into the equation and see if it is true
3^2 +1 = 4+3(3)
9+1 = 4+9
10 = 13
This is not a true statement so this is not a solution
