Answer:
2023 rabbits
Step-by-step explanation:
The exponential model consists of the following expression:
Where:
- Initial population.
- Increase rate.
- Time
- Current population.
The initial population and increase rate are, respectively:
![r = \sqrt[4]{\frac{17}{12} }](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B4%5D%7B%5Cfrac%7B17%7D%7B12%7D%20%7D)
The exponential model that predicts the population of rabbits is:
Lastly, the expected population for the year 1996 is:
Answer: - 42.95 feet
Explanation:
Let each ascent be x. Thus,
2 equal ascents = 2x
From the information given,
initial position = - 64.5 feet
Final position after 2 ascents = - 21.4 feet
This means that
- 64.5 + 2x = - 21.4
2x = - 21.4 + 64.5
2x = 43.1
x = 43.1/2
x = 21.55
Thus, Max's elevation after the first ascent is
- 64.5 + 21.55
= - 42.95 feet
Answer:
x=10 x=-2
Step-by-step explanation:
(x − 3)(x − 5) = 35
FOIL
x^2 -5x-3x+15 = 35
Combine like terms
x^2 -8x+15 = 35
Subtract 35 from each side
x^2 -8x+15-35 = 35-35
x^2 -8x-20 =0
Factor
What 2 numbers multiply to -20 and add to -8
-10*2 = -20
-10 +2 = -8
(x-10)(x+2) =0
Using the zero product property
x-10 =0 x+2 = 0
x=10 x=-2
The length of each leg is 6
Answer:
See below
Step-by-step explanation:
Julie wants to cut her hair 9 inches off from 16 inches
<h3>Part A </h3>
Expression
<h3>Part B</h3>
Calculation
<h3>Part C</h3>
Explanation of steps
- 1 - note the point 16 on the number line
- 2 - move left by 9 points on the number line
- 3 - note point 7 as answer
