Audio A: Technical -- inverse square law Just like the inverse square law in lighting, the inverse square law in audio states that when the
distance between the microphone and sound source is increased, the sound level decreases by
the square of the ratio of that increase. Conversely, if the distance is decreased, the sound level
increases by the square of the ratio of that decrease. Here's a simple math problem. The distance
between a microphone and sound source is one (1) foot. The audio level reaching the microphone
is 40 decibels (dB). Now you move the microphone two (2) feet away, thereby doubling the
distance ratio; that is, increasing the distance by a factor of two. Remembering that this law has
the word "inverse" in it, and also the word "square," the audio level now reaching the microphone
would be how many dB? Note: You most write the correct number using digits for this to score
correctly; do not spell out the number.

)a grad student comes up with the following algorithm to sort an array a[1..n] that works by first sorting the first 2/3rds of the array, then sorting the last 2/3rds of the (resulting) array, and finally sorting the first 2/3rds of the new array. 1: function g-sort(a, n) . takes as input an array of n numbers, a[1..n] 2: g-sort-recurse(a, 1, n) 3: end function 4: function g-sort-recurse(a, `, u) 5: if u ⒠` ≤ 0 then 6: return . 1 or fewer elements already sorted 7: else if u ⒠` = 1 then . 2 elements 8: if a[u] < a[`] then . swap values 9: temp ↠a[u] 10: a[u] ↠a[`] 11: a[`] ↠temp 12: end if 13: else . 3 or more elements 14: size ↠u ⒠` + 1 15: twothirds ↠d(2 ◠size)/3e 16: g-sort-recurse(a, `, ` + twothirds ⒠1) 17: g-sort-recurse(a, u ⒠twothirds + 1, u) 18: g-sort-recurse(a, `, ` + twothirds ⒠1) 19: end if 20: end function first (5 pts), prove that the algorithm correctly sorts the numbers in the array (in increasing order). after showing that it correctly sorts 1 and 2 element intervals, you may make the (incorrect) assumption that the number of elements being passed to g-sort-recurse is always a multiple of 3 to simplify the notation (and drop the floors/ceilings).

Of the following pieces of information in a document, for which would you most likely insert a mail merge field?

Write an expression that will cause the following code to print "equal" if the value of sensorreading is "close enough" to targetvalue. otherwise, print "not equal". ex: if targetvalue is 0.3333 and sensorreading is (1.0/3.0), output is: