Answer:
y = 9.5
Step-by-step explanation:
Express the ratios in fractional form, that is
=
( cross- multiply )
1.5(2y + 5) = 36 ( divide both sides by 1.5 )
2y + 5 = 24 ( subtract 5 from both sides )
2y = 19 ( divide both sides by 2 )
y =
= 9.5
Answer:
2.5
Step-by-step explanation:
This type of problem can be decided by looking at whether the function is positive or negative in the vicinity of the zeros. There are three roots: -12, -6, and 2 at which the function is clearly 0. Look at the four intervals the x axis:
interval x<-12: function is negative (just test using a number <-12, say, -13)
interval (-12,-6): function is positive
interval (-6, 2): function is negative
interval x>2: positive
From the above you deduce that at the roots the function must be crossing the x-axis (as opposed to just touching it) because the function value changes its sign every time.
The Zero Property is that anything multiplied by 0 is 0. The only time that that occurs is between 5 and 6. The answer is D.
find area of 1 small bubble
πr² = π × 5²
= 78.54
total area of 4 small bubble
78.54 × 4 = 314.16
total area of 4 small bubble = area of big bubble
= 314.16
find it's radius
πr² = 314.16
r² = 314.16 ÷ π
r² = 100
r = √100
r = 10