Answer:
Option A.
Step-by-step explanation:
The given sequence is
24, 30, 36, 42, 48, ...
It is an AP. Here,
First term = 24
Common difference = 30-24 = 6
The given explicit formula for nth term is
where, 
is first term, d is common difference.
Substitute 
in the above formula.
The 500th term of the sequence is 3018.
Therefore, the correct option is A.
Answer:
two real, unequal roots
Step-by-step explanation:
y is definied as y = 3x - 1. Substitute 3x - 1 for y in xy = 9, obtaining:
x(3x - 1) = 9. Then:
3x^2 - x - 9 = 0. In this quadratic, the coefficients are a = 3, b = -1 and c = -9.
Calculating the discriminant b^2 - 4ac, we get (-1)^2 - 4(3)(-9), or 1 + 108, or 109. Because the discriminant is positive, we have two real, unequal roots.
Answer:
30,60,90 triangle, which is the lengths 1 √
3
, and 2
respectively. This is what I have got so far: Using the 30-60-90 Ratio
Step-by-step explanation:
Answer:
Measure of central tendency is a value that represents a typical, or central, entry of a data set. The most common measures of central tendency are: • Mean (Average): The sum of all the data entries divided by the number of entries. ... The standard deviation measure variability and consistency of the sample or population.
Step-by-step explanation:
