Answer: I gave the evaluate answer and the differentiate w.r.t x answer. Sorry for caps.
Step-by-step explanation: EVALUATE x4n−3
DIFFERENTIATE W.R.T. X (4n−3)x4(n−1)
Answer:
3 meters
Step-by-step explanation:
We assume the storage room is a rectangle, like most rooms, no indication it is otherwise.
We know it's a rectangle and not a square because it is longer than wide.
We have the perimeter measurement (16 meters).
So, we can make the following equation:
2x + 2y = 16
x being the width of the room, y being it's length. A perimeter is the sum of all sides.
We also know the room is 2 meters longer than wide... so:
y = x + 2
If we replace y in the first equation by its value relative to x, we get:
2x + 2(x + 2) = 16 which becomes
2x + 2x + 4 = 16
4x =12
thus x = 3
Width: 3 meters
Length: 5 meters.
Confirms the 16 meters perimeter.
Answer:
£4.65 is her bill
Step-by-step explanation:
Here, we firstly need to calculate the unit price of a pint
Mathematically, in this case, that will be 3.72/12 = 0.31
ordering 3 extra pints means she would be buying a total 15
The price of this will be;
0.31 * 15 = £4.65
Gravity pulls you to earth at velocity of 9.8 m/s. In the first 40 seconds, Jason would fall (9.8) x (40) = 392 meters.
