Cot x = CosX/SinX = 0.85/.52 = 1.6346
Hey there! :)
5n(3n - n + 8)
Simplify.
(5n × 3n) + (5n × -n) + (5n × 8)
Simplify.
(15n²) + (-5n²) + (40n)
Remove parenthesis
**Remember : a negative times a positive is always a negative, a positive times a positive is a positive, and a negative times a negative is a positive**
15n² - 5n² + 40n
Combine like terms.
(15n² - 5n²) + 40n
Simplify.
10n² + 40n → final answer :)
~Hope I helped!~
Answer:
Lauren is 19. Lauren's grandmother is 61.
Step-by-step explanation:
19 * 3 = 57
57 + 4 =61
19 + 61 = 80
Rise=16, run=7. Slope is rise/run, and therefore is 16/7. The run is considered to be the x coordinate. Since the x coordinate on the point is 21, we know it has moved 3 exact points away from the origin (21/7=3). We can use this movement of 3 exact points to determine the y coordinate as well. Since the rise (y) is 16 for every exact point on a graph, we know the graph has risen 48 units (16x3=48). So, the point ends up being (21,48). The rate of change is 16cm per 7 minutes, or 2.28cm/minute. The equation is Y=(16/7)X (no y intercept because the graph starts at the origin). The equation gives you the y value of 48 when x is equal to 21.
Answer:
Option A 
Step-by-step explanation:
4 infants + 11 toddlers = 15 children
4 infants / 15 children = 
