Answer:
- the domain is [0,129]
- 112 mm
- 1942
Step-by-step explanation:
1. The function is good for years 1880 to 2009, 0 to 129 years after 1880. Values of x can be anything in the domain [0, 129].
__
2. 1950 -1880 = 70. The year 1950 corresponds to x=70, so the function tells us the water level rose ...
f(70) = 1.6·70 = 112 . . . . . mm
__
3. We want to find x when f(x) = 100. That will be the solution to ...
100 = 1.6x
100/1.6 = x = 62.5
Then 62.5 years after 1880 is year 1942.5. The water level was 100 mm higher than in 1880 in the year 1942.
The magnitude of the vectors is 7.2
The magnitude of a vector is resolved by using a formula
<h3>Magnitude of a Vector</h3>
This is the displacement between two vectors and can be calculated as

where x is the magnitude of displacement between y and z.
In this question, the vectors are
Let's find the magnitude of this vector

The magnitude of the vectors is 7.2
Learn more on magnitude of vectors here;
brainly.com/question/3184914
brainly.com/question/8536161
Answer:
Average rate of change is <u>0.80.</u>
Step-by-step explanation:
Given:
The two points given are (5, 6) and (15, 14).
Average rate of change is the ratio of the overall change in 'y' and overall change in 'x'. If the overall change in 'y' is positive with 'x', then average rate of change is also positive and vice-versa.
The average rate of change for two points
is given as:

Plug in
and solve for 'R'. This gives,

Therefore, the average rate of change for the points (5, 6) and (15, 14) is 0.80.
Answer:
1,250 lbs
Step-by-step explanation:
There are 2,000 in 1 ton, so 5 * 2,000 = 10,000 lbs weight limit for the bridge.
10,000-8750 = 1,250 lbs can be added to the truck before they reach the bridge weight limit.
The answer is 48. 98 - 50 = 48 apples left :)