Answer:
5
Step-by-step explanation:
15a , 10b , and -7b are coefficients.
Answer:
$19.6
Step-by-step explanation:
He bought 6 video games and 1 dvd
We know that each video game costs $2.7 and each dvd costs 3.4
To get the sum = v x 6 + d x 1
= 2.7 x 6 + 3.4 x 1
= 16.2 + 3.4
= $19.6
Answer:
b
Step-by-step explanation:
Using the trigonometric identities
cot x =
and tan x =
thus
+ tanΘ × cosΘ
=
+
× cosΘ
= cosΘ ×
+ sinΘ
= sinΘ + sinΘ
= 2sinΘ → b
For a smoothing constant of 0.2
Time period – 1 2 3 4 5 6 7 8 9 10
Actual value – 46 55 39 42 63 54 55 61 52
Forecast – 58 55.6 55.48 52.18 50.15 52.72 52.97 53.38 54.90
Forecast error - -12 -.6 -16.48 – 10.12 12.85 1.28 2.03 7.62 -2.9
The mean square error is 84.12
The mean forecast for period 11 is 54.38
For a smoothing constant of 0.8
Time period – 1 2 3 4 5 6 7 8 9 10
Actual value – 46 55 39 42 63 54 55 61 52
Forecast – 58 48.40 53.68 41.94 41.99 58.80 54.96 54.99 59.80
Forecast error - -12 6.60 -14.68 0.06 21.01 -4.80 0.04 6.01 -7.80The mean square error is 107.17
The mean forecast for period 11 is 53.56
Based on the MSE, smoothing constant of .2 offers a better model since the mean forecast is much better compared to the 53.56 of the smoothing constant of 0.8.
Answer:
x = -8
Step-by-step explanation:
Given the equation:

Note that

then

Rewrite the equation as

then
