Answer: the population after 5 years is 10814
Step-by-step explanation:
The population growth of the deer is exponential. We would apply the formula for determining exponential growth which is expressed as
A = P(1 + r)^t
Where
A represents the population after t years.
n represents the period of growth
t represents the number of years.
P represents the initial population.
r represents rate of growth.
From the information given,
P = 10289
r = 1% = 1/100 = 0.01,
t = 5 years
Therefore,
A = 10289(1 + 0.01)^5
A = 10289(1.01)^5
A = 10814
The final probability is the weighted average of the playing probabilities calculated over the possible weather options:
P(john practices cello; given that it rains) * P(it rains) +
P(john practices cello; given that it does not rain) * P(it does not rain) =
0.6 * 0.7 + 0.4 * 0.3 = 0.54
The probability is 54%
Answer: yes, because it is useful to describe changes in the behavior of the thing we are describing.
Step-by-step explanation:
A piecewise function f(x) is a function that is "different" depending on the range of the values of x, this is for example:
y = x -----> if x < 0
y = x^2 ----- if x ≥ 0
This is used to represent changes in the behavior of the thing we are describing.
For example, suppose an object that is moving with constant velocity, the velocity graph will be a constant line.
Now, the object suddenly, at a time t = t0 accelerates to a constant acceleration A, now the graph of the velocity is a linear graph with slope equal to A.
So this situation can be represent this with a piecewise function:
V(t) = c -----> if t < t0
V(t) = c + A*t -----> if t ≥ t0
So the answer is yes, we can.
On 3 and 6 you did not clarify whether it is addition, subtraction, multiplication, or division.
Therefore, I have worked out all possible solutions.
If 2(3 - 6 x 3 - 5) then the solution is 12.<span>
If 2(3 + 6 x 3 - 5) then the solution is -36.</span><span>
If 2(3 / 6 x 3 - 5) then the solution is -2.
If 2(3 x 6 x 3 - 5) then the solution is -72.</span>
Answer:
9 cups of flour
Step-by-step explanation:
Multiply by 3. 8 cups of water multiplied by 3 is 24 cups of water so you do the same to the flour to keep them balanced and ratioed. So 3 cups of flour times 3 is 9 cups of flour. 8:3 is the ratio.
