Answer:
r = 3/2
Step-by-step explanation:
ratio (r) is the number that, when multiplied by the previous (n-1) term, gives the nth term of the geometric sequence (). To find the common ratio, we can take any term and divide it by its preceding term (rearrange the formula to get ). If we take 24 and divide it by 16, we get the common ratio of 3/2 (, ).
Answer:
cos 78⁰.
Step-by-step explanation:
Use cos 2A = cos^2 A - sin^2 A
so cos^2 39 - sin^2 39 = cos (2*39) = cos 78.
Answer:
1/36
Step-by-step explanation:
assuming a 6-sided fair die, the probability that you roll any number from 1-6 for any one roll is 1/6,
hence
P(roll 5) = 1/6
P(roll 6) = 1/6
P( roll 5 then roll 6)
= P(roll 5) x P(roll 6)
= (1/6) (1/6)
= 1/36
Answer:
400 + 10 + 7
Step-by-step explanation:
it could be 4 times 100 plus 10 times 1 plus 1 times 7
Answer:
the value of d = -6
Thus, the second point is:
Step-by-step explanation:
Given
Here:
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
substitute (x₁, y₁) = (2, 3)
, (x₂, y₂) = (2, -5) and m = 0
0 = [-6 - d] / [3 - 7]
0 = [-6-d] / [-4]
0×(-4) = -6-d
0 = -6-d
d = -6
Therefore, the value of d = -6
Thus, the second point is: