Answer:
The ends of the field are at the zeros (x-intercept) of the function.
0 = -0.000234(x - 80)2 + 1.5 subtract 1.5 from both sides
-1.5 = -0.000234(x - 80)2 divide both sides by right coefficient
6410.25641 = (x - 80)2 take square root of both sides
80.064 = x - 80 add 8-0 to both sides
160.064 = x
The field is 160.064 feet wide.
The maximum is at the vertex, y = 1.5 feet
Step-by-step explanation:
Percent means per 100.
Per means divided by.
So you can change a number by multiplying it by 1. Anything over itself is 1 (except zero but that doesn't matter right now)
So multiply .6 by 100/100
So you get 60/100
or 60 per 100
or 60%.
So basically, just multiply by 100 and add the % sign!
Answer:
k = 0.02278
Step-by-step explanation:
Given that:
The population P = 1674.7e^kt
where;
t represents the year,
if year 2000 represents t = 0
Then, the year 2007 represents = 7; &
year 2006 represents = 6
In 2006, population recorded in the city was about 1,920 thousand
Therefore;
Taking the logarithm of both sides, we get:
7.560080465= 7.423389324 + 6k
7.560080465 - 7.423389324 = 6k
0.136691141 = 6k
k = 0.136691141/6
k ≅ 0.02278
Answer:
25 meters
Step-by-step explanation:
30 km/hr = (30 km/1 hr)*(1000 m/1 km)*(1 hr/60 min)*(1 min/60 sec)
30 km/hr = (30*1000*1*1)/(1*1*60*60) meters per second
30 km/hr = 8.3333333333 m/s (approximate)
----------
The speed or rate is r = 8.3333333333 meters per second approximately, and the time is t = 3 seconds, so,
distance = rate*time
d = r*t
d = 8.3333333333 * 3
d = 24.9999999999
Due to rounding error, the true answer should be d = 25. We can see this if we opted to use the fraction from of 8.3333... instead of the decimal representation which isn't a perfect exact measurement.
