Answer:
1/6 as an decimal would be, 0.1666 Continued
Step-by-step explanation:
Answer: The number is 26.
Step-by-step explanation:
We know that:
The nth term of a sequence is 3n²-1
The nth term of a different sequence is 30–n²
We want to find a number that belongs to both sequences (it is not necessarily for the same value of n) then we can use n in one term (first one), and m in the other (second one), such that n and m must be integer numbers.
we get:
3n²- 1 = 30–m²
Notice that as n increases, the terms of the first sequence also increase.
And as n increases, the terms of the second sequence decrease.
One way to solve this, is to give different values to m (m = 1, m = 2, etc) and see if we can find an integer value for n.
if m = 1, then:
3n²- 1 = 30–1²
3n²- 1 = 29
3n² = 30
n² = 30/3 = 10
n² = 10
There is no integer n such that n² = 10
now let's try with m = 2, then:
3n²- 1 = 30–2² = 30 - 4
3n²- 1 = 26
3n² = 26 + 1 = 27
n² = 27/3 = 9
n² = 9
n = √9 = 3
So here we have m = 2, and n = 3, both integers as we wanted, so we just found the term that belongs to both sequences.
the number is:
3*(3)² - 1 = 26
30 - 2² = 26
The number that belongs to both sequences is 26.
Answer:
Step-by-step explanation:
<u>In 4 seconds the rock will be at:</u>
- 2*4 = 8 in from the surface
<u>Add 5 feet to this to get the required distance:</u>
- 5 ft + 8 in = 5*12 in + 8 in = 68 in
Answer:
Important! The "x" is just a place-holder! And "f" is just a name.
These are all the same function:
f(x) = 1 − x + x2
f(q) = 1 − q + q2
w(A) = 1 − A + A2
pumpkin(θ) = 1 − θ + θ2
Step-by-step explanation:
Firstly, subtract the cost that Emil has already put down;
268.26-12= 256.26
Then divide by the monthly installments
256.26/ 6= 42.71
Therefore, Emil pays $42.71 per month
Hope this helps :) <span />
