Check the picture below.
notice, the pairs in the Unit Circle are the (cosine , sine) pair, which are equivalent to (x , y) values in a cartesian plane.
Teresa's restaurant bill is 29.99 dollars before the tax.The sales tax is said to be 6.25% of the total amount .=> 6.25% = 0.0625=> 29.99 dollars * 0.0625 = 1.87 dollars is the sales tax that will be added to his payment,=> 29.99 + 1.87 = 31.86 dollars is now here current payment.Next, he needs to give 20% tip to the water.=> 31.86 * .20 = 6.37 dollars is the total amount for the tip to the waiter. => 31.86 + 6.37 = 38.23 dollars will be the total amount that Teresa needs to pay for her restaurant meal.<span>
</span>
Answer:
the answer is vsco girls are annoying
Step-by-step explanation:
Answer:
the answer is 10.6
Step-by-step explanation:
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
