Answer:
8. Arithmetic Progression
9. 
Step-by-step explanation:
Given
Solving (8): Arithmetic or Geometric
We start by checking if it is arithmetic by checking for common difference (d).
This gives:
<em>Because the common difference is equal, then it is an arithmetic progression</em>
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Solving (8):
To find f(9), we substitute 9 for n
We need to solve for f(8); substitute 8 for n
We need to solve for f(7); substitute 7 for n
We need to solve for f(6); substitute 6 for n
We need to solve for f(5); substitute 6 for n
From the function, f(4) = 25 and f(1) = 55.
So:
Answer:
The percent off on the sale price is 30%.
Step-by-step explanation:
Marked up price = $64.99
marked down Price = $45.49
Let us assume the off percentage = k%
Now, the Amount off on the sale = Marked up price - Marked down price
= $64.99 - $45.49 = $19.5
⇒ k% off on Marked up Price $64.99 = $19.5
or, 
or, k = 30%
Hence, the percent off on the sale price is 30%
Answer:
X = 0, π/2 in the interval [0, 2pi).
Step-by-step explanation:
Use the auxiliary angle method:
R sin(x + a) = Rsin x cos a + Rcos x sin a = 1
sin x + cos x = 1
Comparing coefficients:
R cos a = 1 and R sin a = 1, so
tan a = R sin a / R cos a = 1
So a = π/4 radians.
Also R^2(sin^2 a + cos^2 a) = 1^2 + 1^2 = 2
Therefore R = √2.
So √2 sin (x +π/4 = 1
sin x + π/4 = 1/√2
x + π/4 = π/4
x = 0 radians
Also
x = 0 + π/2 = π/2.
6x^5 - 30x^4 - 84x^3
we can factor out 6x^3
6x^3(x^2 - 5x - 14)
Also, we can factor x - 7 and x + 2 out of x^2 - 5x - 14
The final answer = 6x^3(x - 7)(x + 2)
The easiest way to do this is to pick your prime numbers and multiply them to get the composite number.
13* 5*5*5 *2*2= 6500
Final answer: 6500
