The data below are taken from Josephat Shoes Store quarterly sales($1000) from 2007- 2010. Period 2007 2008 2009 2010 Q1 54 55 49 60 Q2 58 61 69 72 Q3 94 84 95 99 Q4 70 76 88 80 a. Plot the time series data and comment on the pattern depicted by the data. [5] b. Compute the 4-period centered moving averages for this data. [5] c. Fit a trendline equation to this data using the sequential coding method, starting from 1

7

step-by-step explanation:

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it

35x 3= 105

step-by-step explanation:

35+35= 70   70 + 35= 105