Answer:
- 3.68 feet using given equation (wrong)
- 12.5 feet using correct equation
Step-by-step explanation:
You can use the given (incorrect) equation and fill in the value of t to find h:
h = 12.5 +9sin(750(3.5)) = 3.68 . . . . feet
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Or, you can use the correct equation, or just your knowledge of revolutions:
h = 12.5 +9sin(750(2π·3.5)) = 12.5 . . . . feet
in 3.5 minutes at 750 revolutions per minute, the propeller makes 2625 <em>full revolutions</em>, so is back where it started — at 12.5 feet above the ground.
The next larger ten thousand is 70,000 .
The next smaller ten thousand is 60,000 .
67,000 is closer to 70,000 than it is to 60,000 .
So 70,000 is the nearest ten thousand.
Answer:
Joe is 14.
Martha is 28.
Step-by-step explanation:
Use the variables and information from the question to make equations.
If Joe's age is half Martha's:
(1/2)m = j OR 2j = m
If their ages combined is 42:
m + j = 42
We can substitute the equation m=2j into equation m + j = 42, replacing "m".
m + j = 42 Substitute m for 2j
2j + j = 42 Combine like terms, terms with same varables
3j = 42 Divide both sides by 3 to isolate j
j = 14 Joe's age
Since j = 14, we can substitute it into equation m=2j to find "m".
m = 2j Substitute j for 14
m = 2(14) Simplify
m = 28 Martha's age
Therefore Joe is 14 and Martha is 28.
Answer:
C
Step-by-step explanation:
a straight line is 180, 180-40=140
Answer:
y=-1/2x-1
Step-by-step explanation: