Consecutive intergers are 1 away from each other so
numbers are
x,x+1,x+2
average is found by adding the numbers up and dividng the total by the number of numbers you have
so we add x+x+1+x+2 up and divide it by 3 (3 numbers)
x+x+1+x+2=x+x+x+1+2=3x+3
(3x+3)/3=53
[3(1x+1)]/3=53
3/3 times 1x+1=52
1x+1=53
subtract 1 from both sides
x=52
subsitute
x+1 is the second
x+2 is the third
x+1=52+1=53
x+2=52+2=54
numbers are 52,53,54
Answer:
We kindly invite you to see the result in the image attached below.
The number in polar form is .
Step-by-step explanation:
A complex number is represented by elements of the form , for all , . The first part of the sum is the real component of the complex number, whereas the second part of the sum is the imaginary component of the complex number. The real component is located on the horizontal axis and the imaginary component on the vertical axis.
Now we proceed to present the point on the graph: (, ) We kindly invite you to see the result in the image attached below.
The polar form of the complex number is defined by:
(1)
Where:
- Magnitude of the complex number, dimensionless.
- Direction of the complex number, measured in radians.
The magnitude and the direction of the complex number are defined by the following formulas:
Magnitude
(2)
Direction
(3)
If we know that and , then the polar form of the number is:
The number in polar form is .
Answer:
Step-by-step explanation:
For this case we need to define some notation:
represent the remaining length of the candle in inches
represent the time in hours that have elapsed since the candle was lit.
For this case we assume that L and f are related so then we can write this like that: L is a function of t.
And for this case we have a constant rate given of:
And we know a initial condition
So then since we have a constant rate of change we can use a linear model given by:
Where m is given and we need to find b. If we use the initial condition we have this:
And solving for b we got:
So then our lineal model would be given by:
Answer 38.6
Step-by-step explanation:
21 x .84 = 17.64
17.64 + 21 = 38.64