Answer:
13) Is a linear function. The points form a straight line
14) Is an exponential function. The points form a curved line.
Answer:
25/13
Step-by-step explanation:
Hello from MrBillDoesMath!
Answer:
See Discussion below
Discussion:
(sinq + cosq)^2 = => (a +b)^2 = a^2 + 2ab + b^2
(sinq)^2 + (cosq)^2 + 2 sinq* cosq => as (sinx)^2 + (cosx)^2 = 1
1 + 2 sinq*cosq (*)
Setting a = b = q in the trig identity:
sin(a+b) = sina*cosb + cosa*sinb
sin(2q) = (**)
sinq*cosq + cosq*sinq => as both terms are identical
2 sinq*cosq
Combining (*) and (**)
(sinq + cosq)^2 = 1 + 2sinq*cosq => (**) 2sinq*cosq = sqin(2q)
= 1 + sin(2q)
Hence
(sinq + cosq)^2 = 1 + sin(2q) => subtracting 1 from both sides
(sinq + cosq)^2 - 1 = sin(2q)
The last statement is what we are trying to prove.
Thank you,
MrB
Answer:
w=-y+1/2x
Step-by-step explanation:
Its literal equations, so just solve like any other variable equation. Set your w value to the equal, and isolate the said variable
Answer:
2.6
Step-by-step explanation:
The Mean Absolute Deviation (MAD) is the average amount that each point is from the overall average of the data set.
So, first find the overall average (also called the mean):
avg = (1 + 1 + 2 + 3 + 5 + 7 + 9) / 7
= 28 / 7
= 4
The average (mean) is 4, so now you calculate how far each point is from 4 and average those numbers:
Note: Remember to use absolute values, since distance can't be negative.
4 - 1 = 3
4 - 1 = 3
4 - 2 = 2
4 - 3 = 1
4 - 5 = |-1| = 1
4 - 7 = |-3| = 3
4 - 9 = |-5| = 5
And finally, average (or find the mean) the new data set:
avg = (1 + 1 + 2 + 3 + 3 + 3 + 5) / 7
so 18 / 7 is the MAD of the data set.
Finally, round it to the nearest tenth:
18 ÷ 7 = 2.57142857143 ≈ 2.6
