Answer:
A
Step-by-step explanation:
The first answer is correct because we have a decay factor.
The sample is losing mass, so the number that is being multiplied by a power of x must be less than 1.
If the second answer were used, then the sample would be gaining mass.
Answer:
The given equation will have value less than 100 whenever the value of b is greater than 12.89
Step-by-step explanation:
For the given equation, p(b) = 520 × 
to have a value less than 100 we can establish inequality as:
p(b) < 100
or, 520 × < 100
or, 
× < 
or, < 
or, ㏒ ( ) < ㏒ ()
or, b× ㏒ 0.88 < ㏒ ()
or, 
< b
or, 12.89 < b
Hence for the equation to have value less than 100, b must be greater than 12.89.
Answer:
√178
Step-by-step explanation:
Distance formula: 
Simply plug in your coordinates into the distance formula to find the distance between them.
I don't exactly know what a net is, but I can figure out the surface area (maybe). When you put this pattern together, you have to make a couple of assumptions.
First of all the 2 triangles are connected to a base that's 8 by 13.
Base
The area of the base = 8 * 13 = 104 square feet.
Two Triangles.
The area of any triangle is
Area = 1/2 b * h
Area = 1/2 *12 * 5
Area = 30 square feet. There are 2 triangles so ...
The total area of both is 60 square feet.
Overlap
Now we come to the tough part. how big is it from the first dotted line to the second one?
The answer is 5. But why? Well the 5 comes from the the length of the side that has to be covered by this pattern. The 5 is part of the triangle.
How far across is the dotted line? The answer is 8. Why again? That's the width of the whole prism or pattern.
So the area between the two dotted lines is 5 * 8 = 40
Finally the area over the 12.
The question is how far is it from the second dotted line to the last boundary? The answer is 12. And it's width is 8
So the area = 12 * 8 = 96
Total area
96 + 60 + 40 + 104 = 300 square feet.
Answer:
x-intercept= -4
I could be wrong though
Step-by-step explanation:
