Y = t*e^(-t/2)
y' = t' [e^(-t/2)] + t [e^(-t/2)]' = e^(-t/2) + t[e^(-t/2)][-1/2]=
y' = [e^(-t/2)] [1 - t/2] = (1/2)[e^(-t/2)] [2 - t] = - (1/2) [e^-t/2)] [t -2]
Answer:
10,600
Step-by-step explanation:
The bacteria grew in 2 hours by 800. Divide that and that it by 400 per hour.
Since it is a proportional rate, we can assume that the rate continue through till midnight.
Since midnight is 12 hours after noon then the bacteria grow 400 (12)=4800.
We add this to the population at noon 5800+4800=10,600.
Pretty sure that’s a -13.178294573643404
% difference. I really hope this is right and I really hope it helps!
Answer:
(Shown below)
Step-by-step explanation:
Here are a few formulas for shapes:
- Perimeter of a rectangle: Length + Length + Width + Width = Perimeter
- Area of a rectangle: Length * Width = Area
- Perimeter of a triangle: Base + Height + Hypotenuse = Perimeter
- Area of a triangle: (Base * Height)/2 = Area
- To find the missing side length in a right triangle:
- Circumference of a circle: (2 * * r) = Circumference
- Area of a circle: = Area
- Surface area of a rectangular prism: All sides added up = Surface area
- Volume of a rectangular prism: Length * Width * Height = Area
- Volume for a sphere: = Volume
- Volume for a cylinder: = Volume
- Volume for a cone: = Volume
Here a few formulas for functions, if you need it:
- Linear function: y = mx + b
- Quadratic function:
- Quadratic formula: (Shown at the bottom)
Hope this helps!
Answer:
Step-by-step explanation:
Given:
5/2(6x - 7) + 4/3(2 + 9x)
Rewrite:
Distribute by multiplying:
Distribute by multiplying again:
Combine like terms:
The given expression, simplified, is;