Answer:
P(t) = 200·0.95^t
Step-by-step explanation:
Each year, the population drops to 95% of its previous value. That is, the population is multiplied by 0.95 each year. Repeated multiplication is signified by an exponent. Here, that exponent is the number of years from today (t).
The population function can be written as ...
P(t) = 200·0.95^t
If I toss a fiar coin five times and the outcomes are TTTTT, then the probability that tails appears on the next toss is
a. 0.5
b. less than 0.5
c. greater than 0.5
d. 0
e. 1
X equals negative three (-3) and negative nine (-9) (x=-3,-9)
Let
x = first consecutive number
x + 1 = second consecutive number
x + 2 = third consecutive number
The sum of these numbers are 111.
x + x + 1 + x + 2 = 111
3x = 111 - 1 - 2
3x = 108
x = 36
Therefore, the smallest number is 36 because other numbers are 37 and 38.
Using row 4:
<span>coefficients are: 1, 4, 6, 4, 1 </span>
<span>a^4 + a^3b + a^2b^2 + ab^3 + b^4 </span>
<span>Now adding the coefficients: </span>
<span>1a^4 + 4a^3b + 6a^2b^2 + 4ab^3 + 1b^4 </span>
<span>Substitute a and b: </span>
<span>a = 4x </span>
<span>
b = -3y </span>
<span>1(4x)^4 + 4(4x)^3(-3y) + 6(4x)^2(-3y)^2 + 4(4x)(-3y)^3 + 1(-3y)^4 </span>
<span>Now simplify the above: </span>
<span>256x^4 - 768x^3y + 864x^2y^2 - 432xy^3 + 81y^4 </span>
