4^(12-4x)=256 realize that 256 is 4^4 so we really have:
4^(12-4x)=4^4 taking the natural log of both sides
(12-4x)ln4=4ln4 dividing both sides by ln4
12-4x=4 subtract 12 from both sides
-4x=-8 divide both sides by -4
x=2
Answer:
When a 2-D circle is rotated around a line that it does not touch. What is the name of the resulting figure?
The answer is annulus
A sphere with radius 16 m is cut by a plane though it’s a great circle. What is the best description of the cross section that is shown?
B. A circle with radius 16 m
The probability of rolling a multiple 2 or a number greater than 3 is 1/3
Given parameters:
Coordinates of the points = (3,4) and (19, 16)
Unknown:
The distance between the points = ?
The midpoint = ?
Solution:
The distance between two points can be mathematically solved using;
D = 
where x₁ = 3, x₂ = 19 and y₁ = 4, y₂ = 16
Input the parameters and solve;
D =
= 20
Midpoint;
The expression is given as;
x
, y
=
, 
input the parameters and solve;
=
,
= 11 , 10
The midpoint is (11, 10)
Answer:
49.6
Step-by-step explanation:
just divide 397 by 8