Answer:
135% = 27/20 = 17/20 as a fraction
Step-by-step explanation:
Step 1: Write down the percent divided by 100 like this:
135% = 135/100
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As 135 is an integer, we don't have numbers after the decimal point. So, we just go to step 3.
Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(135,100) = 5. So,
(135÷5)/(100÷5) = 27/20 when reduced to the simplest form.
As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 135/100 is also equal to 1 7/20 when expressed as a mixed number.
The answer for the function F(4) = 5/81
<u>Step-by-step explanation</u>:
The given function is F(x) = 5 * (1/3) ^ x
<u>step 1</u> :
The x value is given as the input to get the output from F(x)
<u>step 2</u> :
Here, F(4) means that the x value is x=4
<u>step 3</u> :
Now, substitute x=4 in the given function F(x)
F(4) = 5 (1/3)^4
=5 (1/81)
F(4) = 5/81
Answer:
, for all 
Step-by-step explanation:
The velocity vector is found by deriving the position vector depending on the time:
In turn, acceleration vector is found by deriving the velocity vector depending on time:
Velocity and acceleration vectors at 
are:
Norms of both vectors are, respectively:
The angle between both vectors is determined by using the following characteristic of a Dot Product:
Given that cosine has a periodicity of 
. There is a family of solutions with the form:
, for all
Answer:
$0.5
Step-by-step explanation:
We have been given an equation 
, where R is rental charges and d is number of days Andrea rents the bike. We are asked to find the unit rate.
We know that unit rate represents the ratio between two different quantities. Unit rate represents how many units of one quantity are equal to one unit of another quantity.
Let us divide both sides of given equation by d:
Therefore, the unit rate for our given problem would be $0.5, which represents rental charges per day.
I also think j but not sure?
