Answer:
x = 1
y = -3
Step-by-step explanation:
cos(pi) = -1
so many ways :
sqrt(0.5/2) = sqrt(0.5/2 × 8/8) = sqrt(4/16)
= sqrt(0.5/2 × 18/18) = sqrt(9/36)
= sqrt(1/4) = 1/2
"nicest" approach (all integers) :
3x² = sqrt(9)
3x² = 3
x² = 3/3 = 1
x = 1
2y = sqrt(36)
2y = 6
y = 6/2 = 3
one of them has to be negative (because cos(pi) = -1), so it has to be y, because 3x² cannot be negative with real numbers.
so, y = -3
-1 × 3×1²/(2×-3) = sqrt(0.5/2) = 1/2
-1 × 3/-6 = 1/2
3/6 = 1/2
1/2 = 1/2
correct
Answer:
Option A
Step-by-step explanation:
If the speed of a car in miles per hour (m) is proportional to the speed in kilometers per hour (k),
m ∝ k
m = ck
Here, c = Proportionality constant
Therefore, c = 
should be constant for each value given in the table.
For m = 11 and k = 17.699,
c = 
c = 0.6215
For m = 26 and k = 41.834,
c = 
c = 0.6215
For m = 34 and k = 54.706,
c = 
c = 0.6215
Therefore, c is constant for each value of m and k.
Option A will be the correct option.
Answer:
The correct option is C) The results were not statistically significant but were practically significant.
Step-by-step explanation:
Consider the provided information.
They found that the difference in these shelf lives had a p-value of 0.24. Assume an α of 0.05.
We reject the null hypothesis if p value is less than α.
We are fail to reject null hypothesis if p value is greater or equal to α.
Here p value is greater than 0.05.
So, we do not reject null hypothesis and conclude that result is not statistically significant. But, there is a practical difference between 3 days and 7 days.
Therefore, the correct option is C) The results were not statistically significant but were practically significant.
Therefore, function notation is a way in which a function can be represented using symbols and signs. Function notation is a simpler method of describing a function without a lengthy written explanation. The most frequently used function notation is f(x) which is read as “f” of “x”.
Answer: 4 roots
Step-by-step explanation: Just look at the highest power and that will tell you the amount of roots, unless there are imaginary roots
