Answer:
the cyclists rode at 35 mph
Step-by-step explanation:
Assuming that the cyclists stopped, and accelerated instantaneously at the same speed than before but in opposite direction , then
distance= speed*time
since the cyclists and the train reaches the end of the tunnel at the same time and denoting L as the length of the tunnel :
time = distance covered by cyclists / speed of cyclists = distance covered by train / speed of the train
thus denoting v as the speed of the cyclists :
7/8*L / v = L / 40 mph
v = 7/8 * 40 mph = 35 mph
v= 35 mph
thus the cyclists rode at 35 mph
Step-by-step explanation:
<u>The inequality represents:</u>
h is less than or equal to 46.
<u>Values included;</u>
I apologize for the line being uneven.
Answer:
84°
Step-by-step explanation:
The circle has five central angles that together equal to 360°.
55° + 37° + 96° + 88° = 276°
Hence, to find the fifth central angle, we have to subtract 276° from 360°.
360° - 276° = 84°
The degree measure of the last central angle is 84°.
Hope this helps! :)
Answer:
Step-by-step explanation: dont work sorry
Answer:
The exponential function to model the duck population is:
f(n)=415*(1.32)^n, where:
x is the duck population
n is the number of years
Step-by-step explanation:
In order to calculate the duck population you can use the formula to calculate future value:
FV=PV*(1+r)^n
FV=future value
PV=present value
r=rate
n=number of periods of time
In this case, the present value is the initial population of 415 and the rate is 32%. You can replace these values on the formula and the exponential function to model the duck population would be:
f(n)=415*(1+0.32)^n
f(n)=415*(1.32)^n, where:
x is the duck population
n is the number of years
