This is exponential growth function
y=4(2)^x
X 4(2)^ x Y
0 4(2)^0 4
1 4(2)^1 8
2 4(2)^2 16
1/2 4(2)^(1/2) 1.4
see image below for graph
Answer:
The equivalent expression for |b| > 2 is {b : b < -2} ∪ {b : b > 2}.
Step-by-step explanation:
The expression |x| < a is equivalent to -a < x < a and the expression |x| > a is equivalent to {x : x < -a} ∪ {x : x > a}.
This means, the set of all points that satisfy the inequality |x| < a is the set of all points between -a and a exclusive of -a and a.
The set of all points that satisfy the inequality |x| > a is the set of all points that are less than -a and the set of all points that are greater than a.
Hence, the equivalent expression for |b| > 2 is {b : b < -2} ∪ {b : b > 2}.
Answer:
Cone: 100ft^3
Sphere: 200ft^2
Step-by-step explanation:
Firstly, the volume of a cone is 1/3 of the volume of the cylinder. It's literally in the formula:

So we can just instantly tell that the volume of the cone is 100feet^3.
Not for the sphere - we can assume that if the height is the same, it's equal to two radiuses, or simply - to the diameter. Let's use the formula for the volume of a sphere, but substitute one of the radiuses with 

So we can instantly tell that the volume of the sphere is 200feet^3
Answer: 4 centimeters is the mode
Step-by-step explanation: Mode is the number that comes out the most, and 4 comes out 6 times, which is the most.