Answer:
2400 words
Step-by-step explanation:
80 = 2 min
60min ÷ 2min = 30min
30 × 80 = 2400 words
Answer:
two real, unequal roots
Step-by-step explanation:
y is definied as y = 3x - 1. Substitute 3x - 1 for y in xy = 9, obtaining:
x(3x - 1) = 9. Then:
3x^2 - x - 9 = 0. In this quadratic, the coefficients are a = 3, b = -1 and c = -9.
Calculating the discriminant b^2 - 4ac, we get (-1)^2 - 4(3)(-9), or 1 + 108, or 109. Because the discriminant is positive, we have two real, unequal roots.
6 songs
The way to find this answer is to divide 18 by 3, which is six, which means that after every six songs a commercial is played.
Hope this was helpful and that I explained it correctly.
Answer:

Step-by-step explanation:
step 1
Find the volume of the cylinder
The volume of the cylinder is equal to

we have
---> the radius is half the diameter

substitute

step 2
Find the volume of the cone
The volume of the cone is equal to

we have
we have
---> the radius is the same that the radius of the cylinder

substitute

step 3
Find the volume of the plastic object
we know that
The volume of the plastic object is equal to the volume of the cylinder minus the volume of the cone
so

assume

