Answer:
A. P(n) = 12·2^n
Step-by-step explanation:
From one generation to the next, the population grows by a factor of ...
24/12 = 2
Only one offered expression is an exponential function with a base of 2:
P(n) = 12·2^n
That's "5 to the negative seventh power," and is equal to
1 1
---------- = --------- . I would accept "1/(5^7)" as correct.
5^7 78125
Answer:
x^4-3x^3+x^2-4
Step-by-step explanation:
Given the following functions
R(x) = 2x^4 – 3x^3 + 2x – 1 and
C(x) = x^4 – x^2 + 2x + 3
We are to find the profit function P(x)
P(x) = R(x) - C(x)
P(x) = 2x^4 – 3x^3 + 2x – 1 - ( x^4 – x^2 + 2x + 3)
P(x) = 2x^4 – 3x^3 + 2x – 1 - x^4 + x^2 - 2x - 3
Collect the like terms
P(x) = 2x^4-x^4-3x^3+x^2+2x-2x-1-3
P(x) = x^4-3x^3+x^2+0-4
P(x) = x^4-3x^3+x^2-4
Hence the required profit function P(x) is x^4-3x^3+x^2-4
I just kind of sat here playing with numbers i dont really know a shortcut but the answer is 10 chickens and 15 rabbits
10*2= 20 each chicken has two legs so thats 10 heads 20 legs
15*4=60 each rabbit has four legs so thats 15 heads 60 legs
15+10=25 heads
20+60=60 legs
Answer:
Step-by-step explanation:
Considering the given triangle EDI, to determine ED, we would apply the sine rule. It is expressed as
a/SinA = b/SinB = c/SinC
Where a, b and c are the length of each side of the triangle and angle A, Angle B and angle C are the corresponding angles of the triangle. Likening it to the given triangle, the expression becomes
ED/SinI = DI/SinE = EI/SinD
Therefore
Recall, the sum of the angles in a triangle is 180°. Therefore,
I° = 180 - (36 + 87) = 57°
Therefore,
ED/Sin 57 = 26/Sin 36
Cross multiplying, it becomes
EDSin36 = 26Sin57
0.588ED = 26 × 0.839
0.588ED = 21.814
ED = 21.814/0.588
ED = 37.1 m
