A ball is thrown vertically upward from the top of a building. The height (in meters) of the ball after t seconds is given by th
1 answer:
9514 1404 393
Answer:
C. -2.00 m/sec
Step-by-step explanation:
The average velocity on the interval [a, b] is found by ...
m = (s(b) -s(a))/(b -a)
One end of the interval remains constant here, so we can define 'd' so that the interval is [4, 4+d]. Then the average velocity is ...
m = (s(4 +d) -s(4))/((4 +d) -4)
m = (s(4+d) -s(4))/d
The attached table shows the average velocity values on the intervals required by the problem statement. Respectively, they are ...
-1.5 m/s, -1.7 m/s, -1.9 m/s, -1.99 m/s, 2.01 m/s, 2.1 m/s, 2.3 m/s, 2.5 m/s
We expect the instantaneous velocity at d=0 to be the average of the values at d=-0.01 and d=+0.01. We estimate the instantaneous velocity at t=4 seconds to be -2.00 m/s.
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Answer:
Nina would have total expenses and sales $156 after selling 4 necklaces.
Step-by-step explanation:
Let <em>x</em> represent the amount of necklaces made and sold.
The initial cost was $140 and it costs $4 to produce one necklace. Hence, the total cost after producing <em>x</em> necklaces can be represented as:
Each necklace sells for $39. Hence, the total profit after selling <em>x</em> necklaces can be represented as:
To break even, the total cost and profit must be equivalent. Hence:
Solve for <em>x: </em>
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Hence, the break even, Nina would need to sell four necklaces.
And the total expenses/profit would be:
In conclusion, Nina would have total expenses and sales $156 after selling 4 necklaces.
Answer:
53.33
Step-by-step explanation:
finding area of ΔPAM
using similar triangles
16 = 12x; x =
ΔPAM = 4/3 * 4 * 1/2 = 16/6 = 8/3
ΔPAL = 4 * 12 * 1/2 = 24
24 + 8/3 = 80/3 (using fraction form for now, will round later)
since there are two ΔPLM (ΔLMU has same area since they are congruent)
we can multiply 80/3 by 2
80/3 * 2 = 160/3 = 53.33