Answer:
16=24
Step-by-step explanation:
The first step to write any number in exponential form is to do the prime factorization of the given number. As we can see that 2 is multiplied 4 times so by using exponent we can write 16 as 24
The rate of change which is also the ratio of the rise to the run value of a graph.
- Rate of change = 7.5
- Steeper slope if rate of change = $10
- Steeper slope if amount owed = $40
Rate of change :
Rise / Run
From the graph :
y2 = - 60 ; y1 = 0 ; x2 = 0 ; x1 = 8
Rise = y2 - y1 = (-60 - 0) = - 60
Run = x2 - x1 = (0 - 8) = - 8
Rate of change = - 60 ÷ - 8 = 7.5
Hence, Devon's debt changes by 7.5 with respect to x
B.).
If Devon paid $10 every week instead of $7.5
- He would be able to pay his debt more quickly
- Hence, leading to a steeper slope on the graph
C.)
If Devon only had owed $40
- Debt will be lesser, meaning that repayment time will be lower
- At the same number of weeks, the graph will have a steeper slope.
Therefore, rate of change gives information about the slope of a graph, higher rate of change values results in steeper slopes.
Learn more : brainly.com/question/18904995
Answer:
Equality
Inequality
Step-by-step explanation:
Since they want the unit of volume to be cm^3, first we have to convert the values given from inch into cm
=> 12 in = 30.48cm
4 in = 10.16cm
14 in = 35.56cm
Since both of the figures are cylinders, we have to find them one by one
Find the volume of the upper cylinder
Formula: V = pi*r^2*h
We know, pi = 3,
radius = diameter of base/2
=> r = 30.48cm/2 = 15.24cm
height = 30.48cm
We get V=3*(15.24)^2*30.48=21237.6cm^3
Find the volume of lower cylinder
Formula: V = pi*r^2*h
We know, pi = 3,
radius = diameter of base/2
=> r = 35.56cm/2 = 17.78cm
height = 10.16cm
We get
V = 3*(17.78)^2*10.16 = 9635.6cm^3
Therefore, the volume of the object is
V = 21237.6cm^3 + 9635.6cm^3
= 30873.2cm^3.
Answer:
= 8n - 11
Step-by-step explanation:
There is a common difference between consecutive terms in the sequence, that is
5 - (- 3) = 13 - 5 = 21 - 13 = 8
This indicates the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 3 and d = 8 , thus
= - 3 + 8(n - 1) = - 3 + 8n - 8 = 8n - 11 ← note this is the second option, that is
f(n) = - 3 + 8(n - 1)