Answer:
Zack = x
Tony = x + 6
x + x + 6 = 42
2x + 6 = 42
2x = 36
x = 18
So,
Zack = x = 18
Tony = x + 6 = 18 + 6 = 24
Answer:
rule: f(n) = n³
missing numbers: 125, 216, 343, 512, 729
Step-by-step explanation:
Your familiarity with the cubes of small integers helps you recognize each of these numbers is a cube. Their sequence is the sequence of cubes of increasing natural numbers.
1 = 1·1·1 = 1³
8 = 2·2·2 = 2³
27 = 3·3·3 = 3³
64 = 4·4·4 = 4³
__
The rule is ...
f(n) = n³
The cubes of 5 through 9 will complete the set of numbers ...
1, 8, 27, 64, 125, 216, 343, 512, 729
Answer:
25th
Step-by-step explanation:
Answer:
The relationship B is different than the other three, because it has a different proportionality constant.
Step-by-step explanation:
All available options show direct relationships, which are defined as follows:

(1)
Where:
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
- Proportionality constant, dimensionless.
We proceed to use the following strategy based on the proportionality constant, that is:

A different relationship must indicate a different proportionality constant:
Option A (
,
)


Option B (
,
)


Option C (
,
)


Option D (
,
)


The relationship B is different than the other three, because it has a different proportionality constant.