Answer:
Yes, it will reach or exceed 141 degree F
Step-by-step explanation:
Given equation that shows the temperature T in degrees Fahrenheit x minutes after the machine is put into operation is,
Suppose T = 141°F,
Since, a quadratic equation has,
Real roots,
If Discriminant,
Imaginary roots,
If D < 0,
Since,
Thus, roots of -0.005x² + 0.45x + 125 are real.
Hence, the temperature can reach or exceed 141 degree F.
We have been given two expressions . We are asked to find the value of each.
To find 9P9, we will use permutations formula.
, where
P = Number of permutations,
n = The total number of objects in the set,
r = Number of objects being chosen from the set.
Using
To find 9C9, we will use combinations formula.
, where
C = Number of combinations,
n = The total number of objects in the set,
r = Number of objects being chosen from the set.
Using
Cancelling out , we will get:
The answers differ because order. With permutations we care about the order of the elements, while with combinations we don't.
Answer:
There were 180 voters for blue color.
Step-by-step explanation:
Let the total number of voters be 'x'.
Given:
Number of Voters for blue color =
Number of Voters for green color =
Now we will use LCM to make the denominator common we get;
Number of Voters for green color =
Number of Voters for red color = 48
We need to find the number of voters for blue color.
Solution:
Now we can say that;
total number of voters is equal to sum of Number of Voters for blue color, Number of Voters for green color and Number of Voters for red color.
framing in equation form we get;
Combining like terms we get;
Now we will make denominators common using LCM we get;
Now denominators are common so we will solve the numerators we get;
Now multiplying both side by 6 we get;
Number of voters for blue color =
Hence There were 180 voters for blue color.