Step-by-step explanation:
The given rational function defined by the equation:
where :k = average number of vehicles arriving at the gate per minute
r = average number of vehicles admitted by the park attendants
T = the average waiting time in minutes for each vehicle
a) k = 26 , r = ?, T = 30 seconds
T(r) = 30 seconds
on solving:
r = 0.016657 , 30.017
r = 30.017 (accept, given that r > k )
Admittance rate r that is necessary to keep the average waiting time T for each vehicle to 30 sec is 30.017.
b) k = 5.3, r = ?, T = 30 seconds
T(r) = 30 seconds
r = 0.016657 , 5.31672
r = 5.31672 (accept, given that r > k )
5.31672 park attendants will be needed to keep the average wait to 30 seconds.
Answer:
10 : 3
Step-by-step explanation:
Convert one of the measurements so that it is in the same form as the other. (Easiest to convert m to cms so we are not working with decimals)
2.5 m = 2.5 x 100 = 250 cm (since there are 100 cm in a meter)
Therefore, as a ratio:
250 : 75
We can divide both by 5:
50 : 15
We can further divide by 5:
10 : 3
(no further simplifying)
So 2.5 m to 75cm as a ratio is 10 : 3
Answer:
Hi there!
Your answers are:
<h2><u>1. 21</u></h2><h2 /><h2><u>1. </u><u>1</u><u>2</u></h2>
Step-by-step explanation:
1. The derivative of 2x^2 +x -1 is equal to <u>4</u><u>x</u><u>+</u><u>1</u>
Now, plug in x= 5 into 4x+ 1
4(5) +1
20+1
21
2. The derivative of 12x -6 is equal to 12
that means:
f(x) = 12
f(x) = 12AND
f(x) = 12ANDf(3) = 12
<u>Hope</u><u> </u><u>this </u><u>makes</u><u> </u><u>sense</u><u>!</u><u> </u><u>(</u><u>updated</u><u>)</u>
Answer: x³-2x²-5x-6=(x-1)*(x-3)*(x+2).
Step-by-step explanation:
Bank B would pay her more in interest by $263
Hope this helped :)