For this you're going to want to whip out your calculator.
make sure it is in degrees instead of radians
plug in tan^-1(-3.4141)
it should equal about -73.674
to change that to be between 0 and 360
360 - 73.674 ≈ 286.325
The probability that you will not choose a blue marble is 28/45.
6 - 34 + 96 - 384 +...
a 1 = 6 , a 2 = a 1 * ( - 4 ) , a 3 = a 2 * ( - 4 ), a 4 = a 3 * ( - 4)...
a 5 = - 384 * ( - 4 ) = 1,536
a 6 = 1536 * ( - 4 ) = - 6,144
a 7 = - 6,144 * ( - 4 ) = 24,576
This is a sum of a geometric sequence:
S 7 = 6 - 24 + 96 - 384 + 1,536 - 6,144 + 24,576 = 19,662
Another way to solve this:
S 7 = a 1 * ( r^n - 1) / ( r - 1 ) = 6 * (( - 4) ^7 - 1 )/ (- 4 - 1)=
= 6 * (-16,385) / (-5 ) = 19,662
Answer:
Step-by-step explanation:
In this question, you would solve the for f(x) by plugging in the given value to x.
Solve:
Distribute the exponent to the numerator and denominator.
Simplify.
Use the rule for the numerator:
Your final answer would be