Step-by-step explanation:
the introduction of a fraction tells us that we are dealing with multiplications, and therefore a geometric sequence (where every new term is created by multiplying the previous term by a constant factor, the ratio r).
I think your teacher made a mistake, or you made one when typing the question in here.
there is no factor r that creates
15×r = 9
and
9×r = 5/27
it would mean that
15 × r² = 5/27
r² = 5/27 / 15 = 5/27 × 1/15 = 5/405 = 1/81
r = 1/9
but 15 × 1/9 = 5 × 1/3 = 5/3 is NOT 9
and 9 × 1/9 = 9/9 = 1 is NOT 5/27
so, this can't be right.
on the other hand
15 × r = 9
r = 9/15 = 3/5
and then
9 × 3/5 = 27/5
so, either the sequence should have been
15, 5/3, 5/27
or (and I suspect this to be true)
15, 9, 27/5
under that assumption we have
s1 = 15
r = 3/5
sn = sn-1 × r = s1 × r^(n-1) = 15 × (3/5)^(n-1)
s10 = 15 × (3/5)⁹ = 15 × 19683/1953125 =
= 3 × 19683/390625 = 59049/390625 =
= 0.15116544 ≈ 0.151
The relationships that could have a negative correlation are as follows:
- the speed of a train and the length of time to reach the destination
- number of hours worked and free time
- speed of a car and minimum stopping distance
<h3>What is negative correlation?</h3>
Correlation between two variables shows the relationship between the two variables.
A positive correlation means that both variables move in the same direction i.e. as one increases, the other increases.
However, a negative correlation means that both variables are inversely related i.e. one increases as the other decreases.
Therefore, the relationships that could have a negative correlation i.e. inversely related are as follows:
- the speed of a train and the length of time to reach the destination
- number of hours worked and free time
- speed of a car and minimum stopping distance
Learn more about correlation at: brainly.com/question/6563788
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1.50n - 50 = p
Explanation: 1.50n = profits from selling cupcakes. Subtract from cost to make cupcakes (50) to find profit.
Answer:
n to the power of -2
Step-by-step explanation:
i counted all the others and this is the only one that doesn't add up to 16. the last answer is -16 not 16 so there you go.
So if f(-3), then x = -3.
Substitute.
y = -(-3)^2 + 6
= -(9) + 6
= -3
Hope it helped
