Let us model this problem with a polynomial function.
Let x = day number (1,2,3,4, ...)
Let y = number of creatures colled on day x.
Because we have 5 data points, we shall use a 4th order polynomial of the form
y = a₁x⁴ + a₂x³ + a₃x² + a₄x + a₅
Substitute x=1,2, ..., 5 into y(x) to obtain the matrix equation
| 1 1 1 1 1 | | a₁ | | 42 |
| 2⁴ 2³ 2² 2¹ 2⁰ | | a₂ | | 26 |
| 3⁴ 3³ 3² 3¹ 3⁰ | | a₃ | = | 61 |
| 4⁴ 4³ 4² 4¹ 4⁰ | | a₄ | | 65 |
| 5⁴ 5³ 5² 5¹ 5⁰ | | a₅ | | 56 |
When this matrix equation is solved in the calculator, we obtain
a₁ = 4.1667
a₂ = -55.3333
a₃ = 253.3333
a₄ = -451.1667
a₅ = 291.0000
Test the solution.
y(1) = 42
y(2) = 26
y(3) = 61
y(4) = 65
y(5) = 56
The average for 5 days is (42+26+61+65+56)/5 = 50.
If Kathy collected 53 creatures instead of 56 on day 5, the average becomes
(42+26+61+65+53)/5 = 49.4.
Now predict values for days 5,7,8.
y(6) = 152
y(7) = 571
y(8) = 1631
What is 0,0.5,1,1.5,2,3,3.5,4,4.5,5,6,6.5,7 in order from least to greatest?
andrew-mc [135]
Lol you have it in order from least to greatest already
Answer:
given sequence, -16; -9; -2: _
first term(a)=-16
common difference(d)=-9-(-16)=7
next term is 4
so
4th term=a+(n-1)d
=-16+(4-1)7=-16+21=5
<u>c.5</u>
Answer:
zero
Step-by-step explanation:
0.2 rounds down to 0
Answer:
198 m³
Step-by-step explanation:
Find the area of the triangular prism.
3 × 4 × 1/2 × 9
= 54
Find the area of the rectangular prism.
4 × 4 × 9
= 144
Add their areas.
144 + 54 = 198
The area of the composite shape is 198 m³.
