You take the bus to work and need to arrive by 9:00 AM. The trip takes 25 minutes. It takes you 10 minutes to get to the bus stop from home and 10 minutes to get to work from the bus stop. If busses leave the bus stop at the following times, which is the last bus you can take to get to work on time? a) 7:20 AM b) 7:50 AM c) 8:20 AM d) 8:50 AM You exercise for 30 minutes, twice each day. What approximate percentage of your day is spent on exercise? a) 2.5% b) 4% c) 10% d) 24% The USDA recommends the following grams of protein for breakfast, lunch, and dinner daily: 17g breakfast, 20g lunch, 16g dinner. What percentage of your total protein intake should be served at breakfast? a) 3% b) 32% c) 53% d) None of the above The average smoker typically pays 15% higher life insurance costs than the average non-smoker. If the monthly cost to a non-smoker is $500 dollars per month, how much would the average smoker pay per month for the same life insurance policy? a) $500.15 b) $515.00 c) $533.00 d) $575.00
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.
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