A. The equation to find the distance of the flowerbed from the hive is: 
, where x is the distance.
B. The flowerbed is 2250 feet far from the hive.
<u><em>Explanation</em></u>
Suppose, the distance of the flowerbed from the hive is 
feet.
The bee flies 20 feet per second directly to a flowerbed from its hive and flies directly back to the hive at 12 feet per second.
As, 
So, the time taken by the bee to reach the flowerbed 
seconds and the time taken to fly back to the hive 
seconds.
The bee stays at the flowerbed for 15 minutes or (15×60)seconds or 900 seconds and it is away from the hive for a total of 20 minutes or (20×60)seconds or 1200 seconds.
So, the equation will be.......
Thus, the distance of the flowerbed from the hive is 2250 feet.
Answer:
A
Step-by-step explanation:
It goes up and down due to the x^3 then the 3x^2
Answer:
the removal discontinuity of the following function at x=-6 or x=6.
Step-by-step explanation:
factoring f(x) = (x - 6)(x + 6)
----------------
x(x - 6)^x + 6)
Answer:
1. The equation represent an exponential decay
2. The rate of the exponential decay is -3×2.5ˣ·㏑(2.5)
Step-by-step explanation:
When a function a(t) = a₀(1 + r)ˣ has exponential growth, the logarithm of x grows with time such that;
log a(t) = log(a₀) + x·log(1 + r)
Hence in the equation -3 ≡ a₀, (1 + r) ≡ 2.5 and y ≡ a(t). Plugging in the values in the above equation for the condition of an exponential growth, we have;
log y = log(-3) + x·log(2.5)
Therefore, since log(-3) is complex, the equation does not represent an exponential growth hence the equation represents an exponential decay.
The rate of the exponential decay is given by the following equation;
Hence the rate of exponential decay is -3×2.5ˣ × ㏑(2.5)
Answer: 5
Step-by-step explanation:
5 finalists
4 Honorable mention and 1 best in show
It's a combination, because it's not ordered. For example, a group with
Dogs A, B and C for Honorable mention is the same thing as Dog B, C and A.
So, C₅,₁*C₄,₄ = 5*1= 5
C₅,₁ = 5!/4!1! = 5
C₄,₄ = 4!/4!0! = 1
So, the awards can be given out in 5 different ways.
