Answer:
The value of slope m = -1
Step-by-step explanation:
x = -2 + 4t
and y = 1 + 4t
Solving the both equations
x +2 = 4t
=> t = (x+2)/4 eq(1)
y-1 = 4t
=> t = (y-1)/4 eq(2)
Putting eq(1) = eq(2) as left hand side of both equations are same
(x+2)/4 = (y-1)/4
Cross multiplying
4(x+2) = 4(y-1)
4x + 8 = 4y -4
4x +4y = -4 -8
4x + 4y = -12
4(x+y) = -12
x+y = -12/4
x+y = -3
y = -x -3
The slope intercept form of line is:
y = mx + b
where m is the slope. Comparing with y = -x-3
The value of slope m = -1
If we consider the center of the habitat to be a point - then a circle with a radius of 1.5 km <u /><u />would satisfy the problem.
The path would go around the point (habitiat) and would always be 1.5 km from that point.
From the given, it is stated that after Amelia took 14 out of the box, Ramon took half of those which remained and he had 16 tiles. The number of tiles left after Amelia took hers is equal to twice of 16 which is equal to 32 tiles.
To determine the number of tiles during the start, we can add the 14 tiles from the calculated 32 tiles.
n = 14 tiles + 32 tiles
n = 46 tiles
<em>Answer: 46 tiles</em>
Answer:
5 5/6 + 55x/24
Step-by-step explanation:
Answer: the population after 10 years is 12036
Step-by-step explanation:
We would apply the formula for exponential growth which is expressed as
A = P(1 - r)^ t
Where
A represents the population after t years.
t represents the number of years.
P represents the initial population.
r represents rate of growth.
From the information given,
P = 14000
r = 1.5% = 1.5/100 = 0.015
t = 10 years
Therefore, the exponential decay equation to find the population of the town after 10 years is
A = 14000(1 - 0.015)^10
A = 14000(0.985)^10
A = 12036
