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5^5 = 3125
5^8 = 390625
5^5/5^8 = 0.008
which is: A.) 1/5^3
Answer:
Step-by-step explanation:
Answer: f(x) = -3x + 1
So the slope is -3 and the y-intercept is 1
Step-by-step explanation:
This is because it’s across the y-axis so the y-intercept doesn’t change. Because it’s a reflection the slope just becomes the opposite of what it originally was, so in this case it will be -3
Answer:
-1
Step-by-step explanation:
To solve this without L'Hopital's rule, multiply by the conjugate, (1 − cos n + sin n) / (1 − cos n + sin n).
The numerator becomes:
(1 − cos n + sin n) (1 − cos n + sin n)
(1 − cos n + sin n) − cos n (1 − cos n + sin n) + sin n (1 − cos n + sin n)
1 − cos n + sin n − cos n + cos² n − sin n cos n + sin n − sin n cos n + sin² n
2 − 2 cos n + 2 sin n − 2 sin n cos n
2 − 2 cos n + sin n (2 − 2 cos n)
(1 + sin n) (2 − 2 cos n)
The denominator becomes:
(1 − cos n − sin n) (1 − cos n + sin n)
(1 − cos n)² − sin² n
1 − 2 cos n + cos² n − sin² n
1 − 2 cos n + cos² n − 1 + cos² n
2 cos² n − 2 cos n
-cos n (2 − 2 cos n)
Dividing, the 2 − 2 cos n factors cancel out, leaving us with:
(1 + sin n) / -cos n
The limit as n approaches 0 is therefore:
(1 + 0) / -1
-1
Answer:
Step-by-step explanation:
<u><em>Sum of 38 and -87</em></u>:
=> 38 + (-87)
=> 38 - 87
=> -49
<u><em>Subtraction of -134 from -49:</em></u>
=> -49 - (-134)
=> -49 + 134
=> 85