<span>57 boxes of detergent on the shelves in 2 minutes
</span><span>After 5 minutes, he had put 117 boxes on the shelves
117 - 57 = 60 (60 </span>boxes of detergent for 3 minutes)
60/3 = 20 (20 boxes of detergent per minute)
so
20 x 5 = 100 boxes of detergent
117 - 100 = 17 boxes
answer
17 boxes of detergent <span>were on the shelves when he started</span>
Answer:
3 (5) x x x x y z z all numbers are prime and all exponents are 1.
Step-by-step explanation:
Trigonometry as taught is mostly about memorizing two lousy triangles, namely half a square and half an equilateral triangle. This one is half an equilateral triangle.
The respective opposite sides of the 30/60/90 triangle are in ratio 
A sine of √3/2 is an opposite of √3 and a hypotenuse of 2, so opposite and hypotenuse of the 60 degree angle. (It's the mama bear, in the middle, just right.)
In the end you just have memorize the two tired triangles of trig.
Answer:
(x + 3, y - 2)
Step-by-step explanation:
we know that
The rule of the transformation T is equal to
T: pre-image → image
T: (x, y) → (x',y')
T: (x, y) → (x - 3, y + 2)
so
x'=x-3 ----> x=x'+3
y'=y+2 ----> y=y'-2
The rule of the inverse of transformation T -1 is equal to
T-1: image → pre-image
T-1: (x', y') → (x,y)
T-1: (x', y') → (x'+3, y'-2)
By using the graphs and tables, the best and most correct answer among the choices provided from your problem about vertical asymptotes is the first choice or letter <span>a) -∞ ; x = 6. It is shown that according to the condition in the problem, the limit is negative infinity and the vertical asymptote is x = 6. I hope it has come to your help.</span>
