Answer:

Exponential growth
Step-by-step explanation:
We can solve this differential equation by the separation of variables method.
We have that:

So

Integrating both sides

In which K is the value of y when t = 0.
We apply the exponential to both sides, so:

This is our exponential equation. Since the power of e is a positive value, the function represents exponential growth.
Answer:

Step-by-step explanation:
move the decimal so there is one non-zero digit to the left of the decimal point. the number of decimal places you move will be the exponent on the 10. if the decimal is being moved to the right, the exponent will be negative. if the decimal is being moved to the left, the exponent will be positive.
Answer:
k = 
Step-by-step explanation:
Fisherman noticed a stretch in the spring = 'b' centimetres
Weight of the fish = a kilograms
If force applied on a spring scale makes a stretch in the spring then Hook's law for the force applied is,
F = kΔx
Where k = spring constant
Δx = stretch in the spring
F = weight applied
F = mg
Here 'm' = mass of the fish
g = gravitational constant
F = a(9.8)
= 9.8a
Δx = b centimetres = 0.01b meters
Therefore, 9.8a = k(0.01b)
k =
k = 
Therefore, spring constant of the spring will be determined by the expression, k = 
Answer: Two planes meet in exactly one point
Two lines meet at exactly two points
Step-by-step explanation:
From the given statements there are two statements which are never true :-
1) Two planes meet in exactly one point .
Since when two line meets , they either meet at one point or infinite points (coincidence) , thus its impossible that they will meet at exactly two points.
2) Two lines meet at exactly two points
Since when two planes meet , the intersection of two plane always make a line not a point. Thus its impossible.