Answer:
3 hours
Step-by-step explanation:
The temperature change after an hour shows an increase of 5 degrees. To calculate how long it takes to reach 60 degrees, we first find the difference from the current temperature to 60 degrees.
60 - 45 = 15 degrees
Since a rise of 5 degrees occurs in one hour, we divide 15 by 5 to find out how many hours are needed to reach 60 degrees.
15 / 5 = 3 hours
Hello!
(x+a)·(x+b) equals x²+xa+xb+ab which simplifies to x²-12x-45
x² equals x²
xa+xb can be expressed as (a+b)x = -12x thus, (a+b) = -12
ab equals -45
Under what conditions do (a+b) equal -12 and ab equal -45?
+3-15 results in -12 while (+3)(-15) gives -45
-3-15 yields -18 and (-3)(-15) results in +45
+3+15 produces +18 and (+3)(+15) also equal to +45
-3+15 equals +12 and (-3+15) results in -45
Conclusion:
(x+3)(x-15)
To determine the variance, we need to first calculate the second moment as follows: The variance can be determined using this equation: The standard deviation is simply the square root of the variance, which gives us the result.
Answer:
and 
expressed in interval notation.
Step-by-step explanation:
A compound inequality 
has been provided. Our task is to determine the solution for this inequality.
Initially, we will address each inequality independently, followed by merging the findings by combining the overlapping intervals.
By dividing with a negative number, it is necessary to reverse the inequality sign:
Again, dividing by a negative requires flipping the inequality sign:
In combining both intervals, we will arrive at:
Thus, the solution for the inequality provided is and in interval notation.
Answer:
You need to multiply the denorminator both sides in order to form x note the subject:
