Answer:
Perimeter=25 units
Area= 43 units^2
Step-by-step explanation:
one side = 5 units so perimeter is 5x5=25
split into 5 equal triangles
base =5, height =3.44, formula for area=(base)(height)(0.5)
area of each triangle =(5)(3.44)(0.5)=8.6
entire area=5(8.6)=43
The question might have some mistake since there are 2 multiplier of t. I found a similar question as follows:
The population P(t) of a culture of bacteria is given by P(t) = –1710t^2+ 92,000t + 10,000, where t is the time in hours since the culture was started. Determine the time at which the population is at a maximum. Round to the nearest hour.
Answer:
27 hours
Step-by-step explanation:
Equation of population P(t) = –1710t^2+ 92,000t + 10,000
Find the derivative of the function to find the critical value
dP/dt = -2(1710)t + 92000
= -3420t + 92000
Find the critical value by equating dP/dt = 0
-3420t + 92000 = 0
92000 = 3420t
t = 92000/3420 = 26.90
Check if it really have max value through 2nd derivative
d(dP)/dt^2 = -3420
2nd derivative is negative, hence it has maximum value
So, the time when it is maximum is 26.9 or 27 hours
Answer:
Radius = 21
Step-by-step explanation:
Volume of a sphere = 4/3 * pie * radius^3
12,348 pie = 4/3 * pie * radius ^3
12,348 = 4/3 * radius^3
(12,348 * 3)/ 4 = radius^3
9261 = radius^3
radius = ![\sqrt[3]{9261}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B9261%7D)
radius = 21
Answer:
[See Below]
Step-by-step explanation:
✦ Combine like terms:
✧ -5n + 2n = -3n
✦ Rewrite:
✧ 3 < -3n
✦ Divide:
✧ 3 / -3 = -1
So n = -1.
~<em>Hope this Helps Mate. If you need anything feel free to message me. </em>
