Answer:
The quadratic curve has the best correlation to the given data.
Step-by-step explanation:
Enter the data into a spreadsheet or graphing calculator and try the different regression options to see which gives the highest R-value. Here, the quadratic regression does that.
Answer:
91.4 meters
Step-by-step explanation:
From the question:
1 yard = 0.914 meter
100 yards = x meters
x meter = 100 × 0.914 meters
x = 91.4 meters
Therefore, Nicholas sprinted 91.4 meters
Answer:
It would take 24 minutes for the element to decay to 50 grams
Step-by-step explanation:
The equation for the amount of the element present, after t minutes, is:

In which Q(X) decays radioactively with a half life of 12 minutes.(0) is the initial amount and r is the rate it decreases.
Half life of 12 minutes
This means that 
So








If there are 200 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 50 grams?
This is t when Q(t) = 50. Q(0) = 200.








It would take 24 minutes for the element to decay to 50 grams
Answer:
x > 77
Step-by-step explanation:
According to order of operations rules, we must carry out division before addition or subtraction. In this case we wish to isolate x and are permitted to simplify the inequality by combining the "like terms" 3 and 8, as follows:
X/7-3>8
+3 +3
--------------
x/7 > 11
The easiest way in which to solve for x is to multiply both sides of this inequality by 7:
7(x/7) > 7(11), or
x > 77
All numbers greater than 77 are part of the solution set.