To solve this you need to divided 0.33 in 2. Because 2 meters. So, 0.165 per minute. But the question is per second, so we need to divided 0.165 by 60. In doing that, you get 0.00275 meters per second. For the 2nd question, we do 0.165 multiplied by 3 to get the answer of 0.495 meters in 3 minutes. I hope my answer helps!
A)
Given: dr/dt = .03 m/s and r = 18 m
Volume of a sphere = (4/3)*PI*r^3
Take the derivative of both sides, so
dv/dt = 4*PI*r^2*dr/dt
Plug in the givens and you have the rate of increase of the volume
B)
Given: V = 288 m^3 and I'm going to assume that r and dr/dt are the same as in part A
Surface Area = 4*PI*r^2
Take the derivative on both sides, so
dA/dt = 8*PI*r*dr/dt
Again, plug in the givens and you'll have the rate of increase in the surface area
C)
This part, it's been awhile since I've done related rates, so it may take me awhile, but perhaps the next person can answer it before I finish.
Answer:
(a) 156 cm²
Step-by-step explanation:
The total surface area of the 12 blocks can be computed by first finding the surface area of one block. That result can then be multiplied by 12. The area of one rectangular prism is given by the formula ...
A = 2(LW +H(L +W))
A = 2(4·1 +1/2(4+1)) = 2(4 +5/2) = 13 . . . cm²
The area of 12 such prisms will be ...
12 × (13 cm²) = 156 cm²
Victor needs 156 cm² of fabric to cover 12 blocks.
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<em>Additional comment</em>
This problem offers an opportunity to exercise your number sense. The area of the largest surface of one block is (4 cm)×(1 cm) = 4 cm². 12 of these surfaces will have an area of 48 cm². This is only part of the total area, so the only reasonable choice among those offered is 156 cm².
Answer:
11, 14, 17, 20, ...
Step-by-step explanation:
An arithmetic sequence is one where each term increases by the same number every time. This is called the common difference and is always added to the previous term to get the current term. The only sequence that follows this is the third once. Every term increases by 3; therefore, it is an arithmetic sequence.
Answer:
Step-by-step explanation:
Mode=77&92&85 (mode is most common number)
Mean= 85+92+65+85+65+85+77+92+92+66+77+92+77+77+65+85=1277
1277/16=79.8 = 80 (Mean is add all numbers and divide how many there is.)
Range=92-65=27 (Range is highest number take away lowest number)
Median: 65,65,65,66,77,77,77,77,85,85,85,85,92,92,92,92
so median is 81 (put numbers in order and find the middle number. if order is even add two numbers in middle and divide by two. If order is odd, find ONE number.)