Answer:
Hi there!
The domain is:
20<=x<=40
Step-by-step explanation:
This states that:
x>=20
x<=40
Which fits the problem!
Hope this helps
Answer:
368 milliliters.
Step-by-step explanation:
Compound A + Compound B = 1 drug
4 + 7 = 1 drug
11 milliliters = 1 drug, so 1012 milliliters = 92 drugs
Multiply the compounds by the amount of drugs, e.g.
4 x 92 = 368 ( Compound A )
7 x 92 = 644 ( Compound B )
368 + 644 = 1012
368 milliliters of Compound A are needed to make 1012 milliliters of the drug.
Hope this helps :)
Answer:
5in x 10in
Step-by-step explanation:
Solution:
1. You have to assume that the ring will land on the board and as a result, just focus on one rectangle of the board since they are all the same size.
2. For the ring to land entirely inside the rectangle, the center of the ring needs to be 1.5 inches inside the border (radius is 1.5 inches), so the "winning rectangle" will have dimensions:
L = (x - 2(1.5)) = x - 3
w = (2x - 2(1.5)) = 2x-3.
3. Now, we will set up and solve our geometric probability equation. The winning rectangle's area of (x-3)*(2x-3) divided by the total rectangle's area of x*(2x) = 28%
(2x-3)*(x-3)/(2x^2) = .28
2x^2 - 9x + 9 = .56x^2
1.44x^2 - 9x + 9 = 0
4 . Now you can plug that in the quadratic formula and get the solutions x = 1.25 or 5. However, it cannot by 1.25 because that is too small of a dimension for the the circle with diameter of 3 to fit in, the answers has to be 5.
5. As a result, the dimensions of the rectangles are 5in x 10in.
A = lw
A = (6)(1/12)
A = 1/2
Answer: -4x - 6
The correct answer is -4x - 6.
Step-by-step explanation:
Hope this helps =)
