Until recently, all area codes had a 0 or a 1 as the middle digit and the first digit could not be 0 or 1 and the third digit could not be 2. Complete parts (a) and (b) below. (a) How many area codes were possible with this arrangement? How many telephone numbers does the current 7-digit sequence permit per area code? (The first digit that follows the area code cannot start with 0 or 1. Assume that there are no other restrictions.) There are 144 area codes possible. Type a whole number.) The current 7-digit sequence will permit 8,000,000' telephone numbers. Type a whole number.) (b) The actual number of area codes under the previous system is 136. What is the most likely reason for this discrepancy between this number and your answer in part a? A. The actual number of area codes is different from the answer to part a because certain area codes such as 800 and others are reserved for specific uses. O B. The actual number of area codes is different from the answer to part a because the answer to part (a) only accounts for some of the restrictions. O C. The actual number of area codes is different from the answer to part a because there is a shortage of area codes under this system. D. The actual number of area codes is different from the answer to part a because in part (a) only an estimate of the number of area codes was calculated. The actual number of possible area codes is 136.
Family of Curves
A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.
XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.
Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.
Lines and Angles
In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
I need an explanation for d.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
