6. 2 h 14 min= 134 min
134min/26.2 mi = 5.114 min/mi
7. 9834.9-8546.3=1348.6 mi
1348.6 mi/65.4 gal=20.6 mi/gal
8. 5 miles = .4x
x=5/.4
x=12.5 laps
9. 8 x 3600=28800 sec
28800/8001=3.6 sec/kiss
We have inverse proportion
Inverse proportion occurs when one value increases and the other decreases.
More workers on a job would reduce the time to complete the task. They are inversely proportional.
2w ----------------------- 7h
3w ----------------------- xh
___________________
(+) (-) ⇒ 2\3 = x\7 ⇒ x = 2·7/3=14/3 =12/3+2/3 =
= 4h + (2·60/3) min = 4h +40min
Answer:
1. ROUND
2. COMMUNITIVE
3. AREA MODEL
4. MIXED NUMBERS
FALSE
FALSE
TRUE
TRUE
Step-by-step explanation:
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<h3>
Answer:</h3>
(m, a, b, c) ∈ {(1, 196, 441, 210), (7, 28, 63, 30)}
<h3>
Step-by-step explanation:</h3>
m is a common factor of 196, 210, 441
The prime factors of those numbers are
... 196 = 2²×7²
... 210 = 2×3×5×7
... 441 = 3²×7²
7 is the only prime factor common to all the numbers. Hence the possible values of m are 1 and 7.
For m = 1, (a, b, c) = (196, 441, 210).
For m = 7, (a, b, c) = (196, 441, 210)/7 = (28, 63, 30).
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.