Answer:
w ≥ 23
Step-by-step explanation:
Add 3 to both sides of this inequality, obtaining:
w ≥ 23. In other words, w must be 23 or larger. Symbolically: [23, infinity)
Step-by-step explanation:
A)
The length of the box is 30 − 2x inches.
The width of the box is 30 − 2x inches.
The height of the box is x inches.
So the volume is:
V = x (30 − 2x)²
B)
V(3) = 3 (30 − 6)² = 1728
V(4) = 4 (30 − 8)² = 1936
V(5) = 5 (30 − 10)² = 2000
V(6) = 6 (30 − 12)² = 1944
V(7) = 7 (30 − 14)² = 1792
As x increases, the volume of the box increases to a maximum and then decreases.
C)
The ends of the domain occur when V = 0.
0 = x (30 − 2x)²
x = 0 or 15
So the domain is (0, 15).
Answer: I believe the standard deviation will remain the same, 6, choice A.
Step-by-step explanation: Standard deviation is calkculated based on the difference of each point from the mean. If 10 were added to each score, the mean would also increase by 10. That would mean that the difference between the mean and each score would be exactly the same, leading to an identical standard deviation. Sounds crazy, but that's what numbers do for a living.
Savings account, retirement savings, value of second car, balance in checking account i believe those are the only ones not positive though
Answer:
50/p increases from a small positive number to a big positive number.
Step-by-step explanation:
p is in the denominator. This means that p and the value of the expression 50/p are inverse proportional. So for a big value of p, 50/p has a small positive value. For a small value of p, 50/p has a high positive value.
what happens to the value of the expression 50/p as p decreases from a large positive number to a small positive number?
50/p increases from a small positive number to a big positive number.
For example
50/1000 = 0.05
50/1 = 50