Answer:
Option D
Step-by-step explanation:
If these lines are parallel, they should have the same slope. How so? Well slope is the change in axis, y / x more specifically. If the lines are parallel they should change at a similar rate so that they don't intersect, and hence are, by definition, ║;

<em>Hope that helps!</em>
Answer:
Volume of shaded portion = (600 - 36π) units³
Step-by-step explanation:
Volume of the shaded portion = Volume of pyramid - Volume of cone
Volume of pyramid = ⅓*l*w*h
Where,
l = length of base of pyramid = 15 units
w = width of base of pyramid = 10 units
h = height of pyramid = 12 units
Plug in the values to find the volume of the pyramid
Volume of pyramid = ⅓*15*10*12 = 5*10*12 = 600 units³
Volume of Cone = ⅓πr²h,
Where,
r = radius = ½ of diameter = ½ of 9 = 3 units
h = height = 12 units
Volume of Cone = ⅓*π*3²*12 = ⅓*π*9*12
= π*3*12 = 36π units³
Volume of shaded portion = (600 - 36π) units³
Let's start by visualising this concept.
Number of grains on square:
1 2 4 8 16 ...
We can see that it starts to form a geometric sequence, with the common ratio being 2.
For the first question, we simply want the fifteenth term, so we just use the nth term geometric form:


Thus, there are 16, 384 grains on the fifteenth square.
The second question begs the same process, only this time, it's a summation. Using our sum to n terms of geometric sequence, we get:



Thus, there are 32, 767 total grains on the first 15 squares, and you should be able to work the rest from here.
The equation will be y=4/x. u can make the table of variables by inserting the values of x in the equation. for suppose here, if x=1 then y=4 , x=2 then y=2 and so on.