Answer:
180 degrees
Step-by-step explanation:
Given

Required
The measure of the major arc, 30 minutes after
First, we calculate the time after 30 minutes


At 5:30pm, the hour and the minute hand will be directly opposite each other.
In other words, the hands divide the time into two equal parts (180 degrees each)
At this point, there is no major or minor arc as both sides have the same measurement
<em>Hence, the measure of the arcs is 180 degrees</em>
Answer:
Y = - 12.55X1 + 276.52
Step-by-step explanation:
Given the data:
Age of child :(X) : 4, 6, 10, 13, 14, 17
Time (seconds) (Y) : 230, 205, 132, 119, 108, 62
Using technology, the linear regression equation obtained using the data Given is :
Y = - 12.55X1 + 276.52
Where :
Slope = - 12.55
Intercept = 276.52
This also indicates that a negative slope is present and hence a negative relationship between age of Child and time in seconds.

Notice that

which means the series is divergent. So if this is one of those "select all that apply" questions, then both (c) and (j) are the only choices that do.
Answer:

Step-by-step explanation:
Given

Required
Determine an equivalent expression
Express 81 as 

Apply law of indices






Hence:
