Answer:
0.785 m
Step-by-step explanation:
(4-2x)(6-2x)x = Volume
Volume = 4x³ - 20x² + 24x
Max volume: dV/dx = 0
dV/dx = 12x² - 40x + 24 = 0
3x² - 8x + 6 = 0
x = 2.54858377, 0.784749563
Max when d²V/dx² < 0
d²V/dx² = 6x - 8
At x = 0.784749563
6x - 8 = -3.29 < 0
Answer:
The maximum temperature will be of 85 degrees, on July 15.
Step-by-step explanation:
Sine function:
The sine function oscilates between -1 and 1, and it's maximum value is:
y=60+25sin(pi/6)t
The maximum value will occur when 
, and it will be of 60 + 25 = 85 degrees.
When will it occur?
First we find the value of t for which the value inside the function sine is 
. So
That is the number of months after April 15, which is 3 months. So July 15.
Answer:
A.47.5 miles is 76
Step-by-step explanation:
in real life its like 76.44, but im rounding
The answer to the question is b
Answer:
R = 17
Step-by-step explanation:
R = 2q - 5
Q = 3p + 2
Find the numerical value of R when p = 3
R = 2q - 5
R = 2(3p + 2) - 5
R = 6p + 4 - 5
R = 6p - 1
When p = 3
R = 6(3) - 1
R = 18 - 1
R = 17
