1 meter = 0.001 kilometers
So 24 * 0.001 = 0.024
24 meters = 0.024 kilometers
1)
y = ax+b
6 = 3a + b
18 = 5a + b
b = 6 - 3a
18 = 5a + 6 - 3a
2a = 12
a = 6
b = 6 - 18
b = -12
f(x) = 6x -12
2)
y = 2
No, because y ≠ 4
x = 2
No, because it's vertical<span>
</span>
y = 4
Yes, because x ∈ <span>ℝ and y = 4
</span>
x = 4
No, because it's verical
Answer:
1.4071
Step-by-step explanation:
The relationship between the elapsed time, t in days, since an ocean sunfish is born, and its mass is given by:

This function represents an exponential growth increasing as the number of days increases since (3.5 > 1), it means that at day 0 , the mass of the sunfish is 3.5 milligrams and every day, its mass increases by a factor of 1.05.
Since the mass of the sunfish increases by
, therefore the mass of the sunfish increases every one week (that is 7 days) by a factor of 
Answer: 387.9 m
Step-by-step explanation:
Volume of a Sphere:
V=\frac{4}{3}\pi r^3
V=
3
4
πr
3
\text{radius} = 5.7
radius=5.7
meters
\text{Plug in:}
Plug in:
\frac{4}{3}\pi (5.7)^3
3
4
π(5.7)
3
775.734624395
775.734624395
Use calculator
\text{Volume of Hemisphere HALF of Volume of Sphere:}
Volume of Hemisphere HALF of Volume of Sphere:
\frac{775.734624395}{2}
2
775.734624395
Divide volume by 2
387.867312198
387.867312198
\approx 387.9\text{ m}^3
≈387.9 m
3
Answer:





maximum profit 
Step-by-step explanation:
Given that,
The company estimates that the initial cost of designing the aeroplane and setting up the factories in which to build it will be 500 million dollars.
The additional cost of manufacturing each plane can be modelled by the function.

Find the cost, demand (or price), and revenue functions.



Find the production level that maximizes profit.










Find the associated selling price of the aircraft that maximizes profit.


Find the maximum profit.
Manufacturing cost of one plane is:


maximum profit 
