Answer:
4.80 mm to 2 d.p
Step-by-step explanation:
w = f(r)
f'(r) = (dw/dr) = (0.0218 mm/mm)
So, for a small difference in rainfall of 220 mm, what is the corresponding small difference in width of leaves in the two forests given.
One definition of a derivative or a rate of change is that it is the ratio of very small differences in the dependent variable to very small differences in the independent variable.
Mathematically,
(dw/dr) = (Δw/Δr) for very small Δw and Δr.
0.0218 = (Δw/220)
Δw = 0.0218 × 220 = 4.796 mm = 4.80 mm to 2 d.p
Hope this Helps!!!
Answer:
14.4 cm
Step-by-step explanation:
The formula for the area of a regular hexagon in terms of its side length s is ...
... A = (3√3)/2·s²
Then the side length is ...
... s = √(2A/(3√3))
and the perimeter is ...
... P = 6s = √(8A√3)
For your area, this is ...
... P = √(8·14.96·√3) ≈ √207.292 ≈ 14.4 . . . . cm
There are 4 possibilities of a right choice. Your Aunt has 1 favorite. So you probability would be 1/4 or .25
Hope This Helps and God Bless!
Answer:
Let's simplify step-by-step.
3x2+9x+6−(8x2+3x−10)+(2x+4)(3x−7)
Distribute:
=3x2+9x+6+−8x2+−3x+10+(2x)(3x)+(2x)(−7)+(4)(3x)+(4)(−7)
=3x2+9x+6+−8x2+−3x+10+6x2+−14x+12x+−28
Combine Like Terms:
=3x2+9x+6+−8x2+−3x+10+6x2+−14x+12x+−28
=(3x2+−8x2+6x2)+(9x+−3x+−14x+12x)+(6+10+−28)
=x2+4x+−12
Answer:
=x2+4x−12
