Answer:
4
Step-by-step explanation:
log2(16)
log2(2^4)
4 log2(2)
4 × 1
4
It should be 4
Option D: 21 in is the base length of the triangular base.
Explanation:
Given that a triangular pyramid with a height of 9 inches has a volume of 63 cubic inches.
The height of the triangular base is 6 inches.
We need to determine the base length of the triangular pyramid.
The base length of the triangular pyramid can be determined using the formula,

Substituting
and
in the above formula, we get,

Simplifying the terms, we get,

Dividing both sides by 3, we have,

Thus, the base length of the triangular pyramid is 21 in
Hence, Option D is the correct answer.
For the first problem, the answer is D, because every year, the graph goes down by about $4,500.
For problem two,
a. It's located in quadrant one because x and y are both positive (I've attached a graph with labeled quadrants for reference)
I'm unsure about b and c but I hope I helped with the others!
Answer:
See attachment for graph
<em></em>
Step-by-step explanation:
Given

Required
Graph the relationship between both parameters
First, calculate the area;


This implies that: (2, 120) i.e. 2 cans for 120ft^2.
So we have:
(0,0) and (2,120)
(0,0) implies that: 0 cans for 0 square feet
Calculate the slope:




The equation is:

So, we have:



<em>See attachment for graph</em>
Answer:
( x - 2 )^2 + ( y - 1 )^2 = 1
Step-by-step explanation:
As i previously explained,
The general form of equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2.
h and k are the co-ordinates of the center of circle and r is the radius
Here, We have (2,1) as the co-ordinates of the center of circle
Now,
( x - h )^2 + ( y - k )^2 = r^2
or,( x - 2 )^2 + ( y - 1 )^2 = r^2
The radius of the circle is 1 units(from figure)
So, put that in, we get
( x - 2 )^2 + ( y - 1 )^2 = 1^2
or, ( x - 2 )^2 + ( y - 1 )^2 = 1
You can simplify this or leave it here.