(3/5 + -1/4)/(7/10)
get a common denominator of 20
3/5 * 4/4 =12/20
-1/4 * 5/5 = -5/20
7/10 *2/2 = 17/20
replace
(12/20 - 5/20)/(14/20)
add the top
(7/20)/(14/20)
copy dot flip
7/20 * 20/14
7/14
1/2
Answer:
Since the aide has only 3 days to come up with the results So, firstly he will collect the data of those people only who has the right to vote which is called the population of interest.
The size of the sample will depend on the population of the country.
Finally, for method of selection, a random and wide range of people must be surveyed. Ideally, he would want people from different professions, age groups, political parties, and geographical locations.
Since the aide has only 3 days, the most practical decision may be to use online surveys spread around varying interest groups to collect the information in the given short period of time. Because it is very difficult to collect this information in a very short period of time.
Answer:
(5 , 11)
Step-by-step explanation:
There are three ways to solve the systems of linear equations
1) Elimination method - where we add/subtract the equations to eliminate the variable
2) Substitution method - where we substitute one variable in the form of another variable
3) Graphing method - where we sketch the graphs of both the equations and if they intersect that point would be the solution and if they don't there is no solution
We use the second method the Substitution method which is the easiest in my opinion.
Here we got two equations so lets just substitute equation 1 with equation 2 meaning insert equation 1 into equation 2 like here:
as you can see here we eliminated the variable y by substituting y in terms of x.
Now we just solve the equation algebraically
The value of x is 5 now to find the value of y we insert the value of x in any two equations lets insert the value of x into equation 1
so the solution of the system of linear equations is (5 , 11)
Answer:
see below
Step-by-step explanation:
h=−4.9t^2 +39.2t
When will if fall back to the ground
When will h=0
0 =−4.9t^2 +39.2t
Factor out a -t
0 = -t (4.9t -39.2)
Using the zero product property
-t =0 4.9t - 39.2 =0
t =0 4.9t = 39.2
t =39.2 /4.9
t =8
It will reach the ground again at 8 seconds
The maximum height is halfway between the zeros
(0+8)/2 = 4
It will reach the max height at 4 seconds, substituting this in to find the max height
h=−4.9 (4)^2 +39.2(4)
h = 78.4 meters
This will only be applicable between t=0 and t=8 seconds
0≤t≤8 seconds
The answer is -373364746.32258