Answer:
12/52 = 1/4 chance.
Step-by-step explanation:
The poopulation exponential model is given by

Where, P(t) is the population after year t; Po is the initial population, t is the number of years from the starting year; k is the groth constant.
Given that the population in 1750 is 790 and the population in 1800 is 970, we obtain the population exponential equation as follows:

Thus, the exponential equation using the 1750 and the 1800 population values is

The population of 1900 using the 1750 and the 1800 population values is given by

The population of 1950 using the 1750 and the 1800 population values is given by

From the table, it can be seen that the actual figure is greater than the exponential model values.
Answer:
The first rocket, g(x), reached its maximum height before the second rocket, h(x).
Step-by-step explanation:
Each equation is in vertex form, so we can read the vertex of the rocket's path from the equation.
y = a(x -h)^2 +k . . . . . . has vertex (h, k)
__
g(x) has vertex (time, max height) = (4, 170).
h(x) has vertex (time, max height) = (5, 170).
The rockets have the same maximum height (170), but the first rocket, g(x), reaches that height in 4 seconds, one second sooner than the second rocket, h(x).
The first rocket, g(x), reached its maximum height before the second rocket, h(x).
Because even though 'a' and 'b' are rational, and their squares are
also rational, that doesn't guarantee that the sum of their squares
has a rational square root.
Examples:
1 and 2
Sum of squares = 5
√5 is irrational
2 and 3
Sum of squares = 13
√13 is irrational
4 and 5
Sum of squares is 41
√41 is irrational
'c' is rational only when 'a', 'b', and 'c' form a . . . . . wait for it . . . . .
a 'Pythagorean triple'.
Examples:
3 and 4
Sum of squares is 25
√25 = 5 is rational yay
5 and 12
Sum of squares is 169
√169 = 13 is rational yay