Answer:
2 books
Step-by-step explanation:
If 7 books= 1 box
Then 30 books= 30÷7= 4 boxes with a remainder of 2 books
Therefore books left over= 2 books
907.5 because you multiply 181.5 x 5 which equals 908.5
Answer: Two planes meet in exactly one point
Two lines meet at exactly two points
Step-by-step explanation:
From the given statements there are two statements which are never true :-
1) Two planes meet in exactly one point .
Since when two line meets , they either meet at one point or infinite points (coincidence) , thus its impossible that they will meet at exactly two points.
2) Two lines meet at exactly two points
Since when two planes meet , the intersection of two plane always make a line not a point. Thus its impossible.
It is given in the question that
A rectangular box has a square base with an edge length of x cm and a height of h cm. The volume of the box is given by
And the edge length of the base is 12 cm, the edge length of the base is decreasing at a rate of 2 cm/min, the height of the box is 6 cm, and the height is increasing at a rate of 1 cm/min.
Here we differentiate V with respect to t, and we use product rule, that is
Substituting the given values , we will get
![[tex]dV/dt = 2(12)(6)(-2)+ 12^2(1)](https://tex.z-dn.net/?f=%5Btex%5DdV%2Fdt%20%3D%202%2812%29%286%29%28-2%29%2B%2012%5E2%281%29)
[/tex]
So at that moment, the volume is decreasing at the rate of
