Answer:
Explanation:
The table that shows the pattern for this question is:
Time (year) Population
0 40
1 62
2 96
3 149
4 231
A growing exponentially pattern may be modeled by a function of the form P(x) = P₀(r)ˣ.
Where P₀ represents the initial population (year = 0), r represents the multiplicative growing rate, and P(x0 represents the population at the year x.
Thus you must find both P₀ and r.
<u>1) P₀ </u>
Using the first term of the sequence (0, 40) you get:
P(0) = 40 = P₀ (r)⁰ = P₀ (1) = P₀
Then, P₀ = 40
<u> 2) r</u>
Take two consecutive terms of the sequence:
- P(1) / P(0) = 40r / 40 = 62/40
You can verify that, for any other two consecutive terms you get the same result: 96/62 ≈ 149/96 ≈ 231/149 ≈ 1.55
<u>3) Model</u>
Thus, your model is P(x) = 40(1.55)ˣ
<u> 4) Population of moose after 12 years</u>
- P(12) = 40 (1.55)¹² ≈ 7,692.019 ≈ 7,692, which is round to the nearest whole number.
Answer:
h(4) = –12
Step-by-step explanation:
⇒ What the question is asking is that when the function h(n) = –2n(2) + 4 is h(4), what will the function repond to when solving for h(4)? So, solve for the function h(4):
h(4) = –2n(2) + 4
⇒ Since n was replaced with 4 in the function h(4), substitute any n for 4 into the function:
h(4) = –2(4)(2) + 4
⇒ Simplify:
h(4) = –16 + 4
⇒ Solve:
h(4) = –12
<u>Answer:</u> h(4) = –12
<em>I hope you understand and that this helps with your question! </em>:)
9514 1404 393
Answer:
a factor of 2 is shown, but 4 was factored out
Step-by-step explanation:
The difference of squares is factored as ...
a² -b² = (a +b)(a -b)
Then the given difference of squares factors as ...
144x² -100 = (12x)² -10² = (12x +10)(12x -10)
Each of these factors has a factor of 2 that can be factored out:
= (2(6x +5))(2(6x -5))
= (2·2)(6x +5)(6x -5)
= 4(6x +5)(6x -5)
The first factor should be 4, not 2.
Answer:
Step-by-step explanation:
5.70 divided by 3
witch would be $1.90
Volume of cone formula: V = PI x r^2 x h/3
Volume of sphere formula: 4/3 x PI x r^3
Cone: 3.14 x 9^2 x 9/3 = 763.02 cubic inches
1/2 sphere: 1/2 x 4/3 x 3.14 x 9^3 = 1526.04 cubic inches.
Total volume : 1526.04 + 763.02 = 2289.1 cubic inches
