Answer: 4
<u>Step-by-step explanation:</u>
f(x) = 4x³ - x² + 1 g(x) = x - 1
g(2) = (2) - 1
= 1
f(1) = 4(1)³ - (1)² + 1
= 4 - 1 + 1
<h2> = 4</h2>
The speed of the snake is 8.95 miles per hour.
Step-by-step explanation:
Step 1:
The snake travels at a speed of 20 meters in 5 seconds.
We will need to determine the distance it covered in a single second. To do that we divide the distance covered in 5 seconds by 5.
The distance covered in 1 second 
So the snake is moving at a distance of 4 meters per second.
Step 2:
To convert the speed of the snake from meters per second to miles per hour, we multiply the speed in meters per second by 2.23694.
So to attain 4 meters per second in miles per hour, we multiply it by 2.23694.
4 meters per second 
miles per hour.
Rounding this off, we get the speed of the snake as 8.95 miles per hour.
Answer: The minimum amount that Nathan will pay including extra charges for exceeding mileage limit is $5,598.50¢
Step-by-step explanation:
Since Nathan went to work for 226 days, covering 45 miles daily to and from work with the car he leased from the leasing company, he therefore covered a total of:
45 × 226
= 10170 miles.
He covered a total of 10170 miles in that particular year.
If the mileage limit was 10,000 miles, then the additional miles that will attract extra charges will be derived by subtracting the mileage limit from the total miles covered within the given period =
10170 - 10,000
= 170 miles
If the extra mile charge on every mile that exceeds the mileage limit was set at $0.25 per mile, then the amount that Nathan will pay for only exceeding the mileage limit within the year =
0.25 × 170
= $42.50
Again, if leasing a car from the company attracts a monthly payment of $463, the amount that is expected of Nathan to pay for leasing the car from the company for the year is then:
$463 × 12 months
= $5,556
The minimum amount that Nathan will pay for the car in that particular year including charges for exceeding the mileage limit will then be:-
$5,556 + $42.5
= $5,598.50
Answer:
3
Step-by-step explanation:
The lights and pole form a right triangle. The question gives the hypotenuse as 5 and one side length as 4.
Use the Pythagorean theorem: 
.
Plug in what you are given: 
b = 3
Or you could recognize that it was a pythagorean triple: 3, 4, 5
The answer to your question is $30
