Answer:
= 5n
Step-by-step explanation:
There is a common difference d between consecutive terms
d = 10 - 5 = 15 - 10 = 20 - 15 = 25 - 20 = 30 - 25 = 5
This indicates the sequence is arithmetic with explicit formula
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 5 and d = 5 , then
= 5 + 5(n - 1) = 5 + 5n - 5 = 5n
We can find the acceleration via
We have
Then by definition of average acceleration,
so that
We alternatively could have found the time without knowing the acceleration. Since acceleration is constant, the average velocity is
Then
Answer:
Step-by-step explanation:
y ∝ x^2
Introducing the proportionality constant, we have
y = kx^2
Given : y= 18 when x = 3
substitute the given values in order to get the constant
i.e 18 = k x 3^2
18 = 9k
k = 2
therefore the formula connecting x and y
⇒ y = 2x^2
To find y if x is 4, just substitute x = 4 into the formula connecting x and y
i.e y = 2 x 4^2
= 2 x 16
= 32
Answer:
$34 and 77.8 miles
Step-by-step explanation:
The computation of the amount for traveling 25 miles is shown below:
Since it is given that the rental company charges $2.75 plus $1.25 for each mile
So for 25 miles, the cost you have to pay is
= $2.75 + 25 miles × $1.25
= $2.75 + $31.25
= $34
Now for traveling for $100, the miles should be traveled is
= ($100 - $2.75) ÷ 1.25
= 77.8 miles
Hence, the same is to be considered
