Explicit Formula
Just in case you don't know what this is, the explicit formula is the formula that solves for any term in the series without necessarily knowing what came before the term you are solving.
<em><u>Givens</u></em>
d = t_(n + 1) - t_n You can take any term and the next term for this part of the formula
d = t_3 - t_2
t_3 = 1
t_2 = -7
d = 1 - - 7 = 8
a = -15
<em><u>Formula</u></em>
t_n = a + (n - 1)*d
t_n = -15 + (n - 1)*8
For example find the 5th term.
t_5 = - 15 + (5 - 1)*8
t_5 = - 15 + 4 *8
t_5 = -15 + 32
t_5 = 17 Which is what you have.
Recursive Formula
Computers really like this formula. They use it in what is called a subroutine and they pass values from one part of the program to a subroutine which evaluates the given and sends the result back. I'm telling you all this so you see why you are doing it. The disadvantage of it for humans is that you must know the preceding term to use the recursive formula.
<em><u>Formula</u></em>
t_n = t_(n - 1) + d
<em><u>Example</u></em>
t_6 = t_(6 - 1) + d
t_6 = t_5 + 8
t_6 = 17 + 8
t_6 = 25
You can check this by using the explicit formula.
Answer:
The first graph, answer choice A.
Step-by-step explanation:
You must know that the sum of interior angles is 180°. We also know that AC and BA are congruent which means angles B and C are also congruent. To find x we can assume 25=5x. Which makes x=5, and angle C=25°.
Then we can add all the angles to find y and A. 25+25+(3y+70)=180. Then solve for y and then solve for angle A.
Answer:
419 ft
Step-by-step explanation:
1063 ft is about 324002.4 mm
324002.4/477 to get the scale ratio. Which is 679.25:1
I am halfway through the problem and notice I should have converted mm to ft and not the other way around. It gives the same answer it just takes an extra step.
188*679.25=127699mm for one side.
Convert that back to ft and you get 418.959 which would just be 419 ft
To find the total amount Leo should give, simply find the 20% of his bill then add it.
Total cost = $45.90 + ($45.90 × 0.20)
Total cost = $45.90 + $9.18
Total cost = $55.08
Therefore, Leo should give $55.08 in total to leave a 20% tip.
