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:
Sides are x and x + 3.5 cm
Perimeter = 2(x + (x + 3.5))cm
4x +7 = 67
x = 15cm Answer
Step-by-step explanation:
HOPE THIS HELPED!
For lines to be parallel, they have to have the same slopes. For the equation given as Ax + By + C = 0, the slope is -A / B. Equating the slopes of the given equations of lines,
- (3 / -5) = - (2 / k)
The value of k is equal to -10/3.
Answer:
k = 79
Step-by-step explanation:
3(k-99) = -60
(k-99) = -20
k= -20+99
k=79
Answer:
The test statistics is 
The p-value is 
Step-by-step explanation:
From the question we are told
The West side sample size is 
The number of residents on the West side with income below poverty level is 
The East side sample size 
The number of residents on the East side with income below poverty level is 
The null hypothesis is 
The alternative hypothesis is 
Generally the sample proportion of West side is
=> 
=> 
Generally the sample proportion of West side is
=> 
=> 
Generally the pooled sample proportion is mathematically represented as
=> 
=> 
Generally the test statistics is mathematically represented as
![z = \frac{\^ {p}_1 - \^{p}_2}{\sqrt{p(1- p) [\frac{1}{n_1 } + \frac{1}{n_2} ]} }](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7B%5C%5E%20%7Bp%7D_1%20-%20%5C%5E%7Bp%7D_2%7D%7B%5Csqrt%7Bp%281-%20p%29%20%5B%5Cfrac%7B1%7D%7Bn_1%20%7D%20%2B%20%5Cfrac%7B1%7D%7Bn_2%7D%20%20%5D%7D%20%20%7D)
=> ![z = \frac{ 0.1315 - 0.1628 }{\sqrt{0.1485(1-0.1485) [\frac{1}{578} + \frac{1}{688} ]} }](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7B%200.1315%20%20-%200.1628%20%7D%7B%5Csqrt%7B0.1485%281-0.1485%29%20%5B%5Cfrac%7B1%7D%7B578%7D%20%2B%20%5Cfrac%7B1%7D%7B688%7D%20%20%5D%7D%20%20%7D)
=>
Generally the p-value is mathematically represented as
From z-table
So
