Answer:
1 week, 14 days, 24 hours = 1 day,
= 4 days + 7 days + 10 hours + 16 hours
= 11 days + 26 hours
= 11 days 26 hours
Answer:
Options A
Step-by-step explanation:
Properties of the graph given for the function 'g',
y-intercept of the function 'g' → y = -4
Minimum value of g(x) → y = -4 (Value of the function at the lowest point)
Roots of g(x) → x = -2, 2
At x = 4,
g(4) = 11
Another function is,
f(x) = -x² - 4x - 4
= -(x² + 4x + 4)
= -(x + 2)²
Properties of the function f(x) = -(x + 2)²,
y-intercept (at x = 0) of the function 'f',
y = -(x + 2)²
y = -4
Since, leading coefficient of the function is (-1) therefore, graph will open downwards and the maximum point will be its vertex.
Maximum value of the function 'f' = Value of the function at the vertex
Coordinates of vertex → (-2, 0)
Therefore, maximum value of 'f' = 0
Roots (at y = 0) of the function 'f' → x = -2
At x = 4,
f(4) = -(4 + 2)²
= -36
Therefore, Options A will be the correct option.
Answer:
883 bacteria
Step-by-step explanation:
The number of bacteria at noon (12:00 pm) is 180. It increases at a rate of 22% every hour.
At 08:00 pm, 8 hours will have elapsed.
This is a compound interest problem. The final amount of bacteria will be:
where P = initial amount of bacteria = 180
r = rate of increase = 22% = 0.22
t = time elapsed = 8 hours
Therefore:
≅ 
There will be 883 bacteria by 8 PM.
The proportion is given by:
0.9 - 0.2ln(t) where t = time in minutes
Plug in t = 5 minutes
0.9 - 0.2ln(5)
= 0.5781
Round to the nearest tenth.
0.6
The proportion of students for t = 5 minutes is 0.6
Answer:
718.38 units
Step-by-step explanation:
Formula for volume of the cone is V = πr²
The radius is 7 cm, the height is 14 cm.
Let's plug these values in.
V = π · 7² · 
V = π · 49 ·
V = 718. 37752
Rounded to the nearest hundreth is : 718.38
