Answer:
42
Step-by-step explanation:
mode is the most common number
Answer:
4t
Step-by-step explanation:fssSVfg
Jessica’s friend tried to find the side length of a square garden, but made a mistake:
24 x + StartFraction 12 over 13 EndFraction = 4 (6 x + StartFraction 12 over 13 EndFraction) = Side length = 6 x + StartFraction 12 over 13 EndFraction
Can you identify and correct her error?
Answer:
Not a Solution
Step-by-step explanation:
We are given two inequalities which are
y ≤ x -4 .............(i)
-x+3y>-4 ............(ii)
Also we are given an ordered pair which is (5, 1/3)
Now from this order pair we see that
x = 5 and y = 1/3
Because in an ordered pair the first element represents the x value while the second value represent the y value
Now to find whether this order pair satisfies the given inequality or not we have to plugin the values of x and y in both inequalities separately and see whether it satisfies the in equality or not
Taking First inequality:
which is
y ≤ x -4
Putting x = 5 and y = 1/3 in inequality
it becomes
≤ 5 -4
≤ 1 ∵ which is true
So this inequality holds the order pair
Taking second inequality:
which is
-x+3y> -4
Putting x = 5 and y = 1/3 in inequality
it becomes
-5+ > -4
-5+1 >-4
-4>-4 ∵ which is false because - 4 = - 4
So this inequality does not holds the order pair
So the order pair is not solution of the given inequalities because of the reason that second inequality is not satisfied
The fact that it takes Earth 365 days to move year in and year out has been known for many centuries. Even before heliocentric and geocentric models were introduced, people were already familiar with the 365 day period. Perhaps Galileo would be the answer, but hasn't been truly defined as to who first observed this.
.0693
To find this, use the equation A = Pe^rt
This is because it is being compounded continuously rather than a set time.
Use what is given to set up a formula as so:
2000 = 1000e^10r
2000 is put in as it is double of 1000. To solve for r, or the rate, divide both sides by 1000, leaving you with this new equation.
2 = e^10r
In order to get rid of e, you need to do the inverse which is ln or natural log. ln(2 is equal to .693147806
So your new equation can be of variations of that, but I used this one:
.693 = 10r
Now, divide 10 on both sides to get:
r = .0693
Hope this helps!