Answer:
2 2/3
Step-by-step explanation:
absolute value means the distance between a number and 0 so therefore the absolute value s 2 2/3
Answer: x = -10
Step-by-step explanation:
Answer:
Step-by-step explanation:
The population P of a certain city can be modeled by
P=19000e0.0215t
where T represent the number of years since 2000.
When t=1 the year is 2001
when t =2 the year is 2002. This means that
When t=0 the year is 2000
To determine the year when the population will be 40,000 , we will substitute P = 40,000 and solve for t. It becomes
40000 = 19000e^0.0215t
40000 / 19000 = e^0.0215t
2.105 = e^0.0215t
Take ln of both sides
0.7443 = 0.0215t
t = 0.7443/0.0215
t = 34.62
Approximately 35 years
So the year will be 2035
9514 1404 393
Answer:
56 feet
Step-by-step explanation:
Let x represent the height of the pole. Then the distance to the anchor point is (x-23), and the length of the wire is (x+9). The Pythagorean theorem tells you the relation between these values is ...
(x+9)² = x² +(x -23)²
0 = x² -64x +448 . . . . . subtract the left side, put in standard form
0 = (x -8)(x -56) . . . . . . factor
The solutions to the quadratic are x=8 and x=56. For our purposes, we require x > 23 so the distances are positive. That means x=56 is the solution of interest.
The pole is 56 feet tall.
WORK:
34.3 - 11.8 = 22.5
ANSWER:
m = 22.5
So,
The answer is A. 22.5
