Since there is a total of 17 pens and 2 are removed then there is 15 left. the probability is 5/17 on the first draw and 4/16 (simplified is 1/4) on the second draw.
Answer:
8:36A.M
Step-by-step explanation:
AM is morning and 24 minutes before 9 is 3:36
Answer:
Hello,
Step-by-step explanation:
Sin(4x) - sin(8x)
sin(2(2x)) - sin(2(4x))
2sin(2x)cos(2x) - 2sin(4x)cos(4x)
2[sin(x)cos(x)][cos²(x) - sin²(x)] - [2sin(2(2x))cos(2(2x))]
{2[sin(x)cos³(x) - sin³(x)cos(x)]} - [2[2sin(2x)cos(2x)][cos²(x) - sin²(x)]]
[2sin(x)cos³(x) - 2sin³(x)cos(x)] - {[2[2[sin(x)cos(x)][cos²(x) - sin²(x)]][cos²(x) - sin²(x)]}
[2sin(x)cos³(x) - 2sin³(x)cos(x)] - [2[2[sin(x)cos(x)][cos⁴(x) - 2cos²(x)sin²(x) - sin⁴(x)]]]]
[2sin(x)cos³(x) - 2sin³(x)cos(x)] - [2[2[sin(x)cos⁵(x) - 2sin³(x)cos³(x) + sin⁵(x)cos(x)]]]
2sin(x)cos³(x) - 2sin³(x)cos(x) - 4sin(x)cos⁵(x) + 8sin³(x)cos³(x) - 4sin⁵(x)cos(x)
Answer:
The estimated Rabbit population by the year 2036 is 32,309 rabbits
Step-by-step explanation:
In this question, we are expected to use the exponential decay function to estimate population of rabbits in a certain year.
An exponential decay function refers to an equation that estimates the value of a parameter(dependent parameter) at a certain value of the independent parameter given that the independent parameter decreases at a certain constant rate.
Firstly, what we need to do is to write the decay function. To do this, we shall be representing the population by variable P, the rate by r , the number of years by t and the initial population by I
Mathematically, we have the decay function as;
P = I(1-r)^t
From the question, we identify these values as;
P = 144,000 : r = 7.2% = 7.2/100 = 0.072, I = 144,00 and t = 2036-2016 = 20 years
Let's plug these values;
P = 144,000(1-0.072)^20
P = 144,000(0.928)^20
P= 32,309
