Answer:
its the third answer, fifth, and first. Im not sure tho.
Step-by-step explanation:
if it isnt right im so sorry T^T
Answer:
8626
Step-by-step explanation:
use a calculator in instead of here this was a EZ question but thanks for the points and if you have a harder question i'll be waiting
The statements about the number properties are true are the below:
A. The associative property applies to multiplication.
C. The associative property applies to addition.
D. The commutative property applies to multiplication.
The commutative cannot be apply to subtraction because of the changing the request of 6-2-1 to 2-6-1 is not a similar thing.
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Step-by-step explanation:
Left hand side:
4 [sin⁶ θ + cos⁶ θ]
Rearrange:
4 [(sin² θ)³ + (cos² θ)³]
Factor the sum of cubes:
4 [(sin² θ + cos² θ) (sin⁴ θ − sin² θ cos² θ + cos⁴ θ)]
Pythagorean identity:
4 [sin⁴ θ − sin² θ cos² θ + cos⁴ θ]
Complete the square:
4 [sin⁴ θ + 2 sin² θ cos² θ + cos⁴ θ − 3 sin² θ cos² θ]
4 [(sin² θ + cos² θ)² − 3 sin² θ cos² θ]
Pythagorean identity:
4 [1 − 3 sin² θ cos² θ]
Rearrange:
4 − 12 sin² θ cos² θ
4 − 3 (2 sin θ cos θ)²
Double angle formula:
4 − 3 (sin (2θ))²
4 − 3 sin² (2θ)
Finally, apply Pythagorean identity and simplify:
4 − 3 (1 − cos² (2θ))
4 − 3 + 3 cos² (2θ)
1 + 3 cos² (2θ)
Answer:
Step-by-step explanation:
Positive integers are of the form 2n
The first term is 2 and the 130th term is 2(130)=260
The sum of this arithmetic sequence is the average of first and last terms times the number of terms
(2+260)(130/2)
17030
