Answer:
1.26
u(8) - u(2) = 0.74
Step-by-step explanation:
Given
u(x) = ∛x
where x is the number of pancakes consumed per week
and
u(x) is her utility (happiness)
If x = 8
u(8) = ∛8 = 2
Now, if x = 2
u(2) = ∛2 = 1.26
then
u(8) - u(2) = 2 - 1.26 = 0.74
Answer:x^3+2x^2+4x-ax^2-2ax-4a
Step-by-step explanation:
so use a basic formula here:
area of a circle = πr²
and the circumference of a circle = πd
a)
therefore the area of the pool cover is π multiplied by the radius² (which is the diameter of the pool cover plus the extra 12 inches divided by two, so the radius is 21/2 or 10.5) is 346.36(to two decimal places.)
b)
Using the same diameter, we can work out the length of the rope by multiplying the diameter (10.5) by π, which is 32.99 (to two decimal places).
Answer:
DE=3 cm
Step-by-step explanation:
From the information we know, we can tell that triangle ABC is a scale factor of 2 from triangle DEF, because 10/5=2.
Side DE would be proportional to side AB.
Side AB is 6, so we would have to divide that by 2, because of our scale factor.
6/2=3.
Hope this helped! Have a good rest of your day!