Math Answers

A car is 4 meter long ,crosses 20 meter long bridge in1.6 seconds .at what constant speed the car was traveling.

Find the anti derivative of sqrt of (x^4-2x^3+x^2)

Sum of a pair of two integers is 2017. If the largest number is not greater than
1100 what is the possible number of pairs?

9. The NANP numbers are ten digits in length, and in the format NXX-NXX-XXXX. N can be any 2-9 digit and X can be any digit 0-9. The first three digits are called the numbering plan area (NPA) code. As we know there are 800 area codes available now which means not all of the three-digit combinations can be used as area codes. Some of them are still not used but are reserved for future use. How many possible different 10-digit phone numbers can be created in USA?

10. a. A machine shop has eight screw machines but only three spaces available in the production area for the machine. In how many different ways can the eight machines be arranged in the three spaces available?
b. A quality control randomly selects two of five parts to test for defects. In a group of five parts, how many combinations of two parts can be selected?

5. Let A = {x, y}, B = {1,2}. Find the Cartesian products of A and B: A x B? (Hint: the result will be a set of pairs (a, b) where a ∈ A and b ∈ B).

6. Which if the following sets are equal?
a) {a, b, c, d}
b) {d, e, a, c)
c) {d, b, a, c}
d) {a, a, d, e, c, e}

7. What is the cardinality of each of the following sets?
a) { }
b) { { } }
c) {a, {a}, {a, {a}} }

8. How many different license plates can be made if each plate contains a sequence of three upper case English letters followed by three digits (and no sequences of letters are prohibited, even if they are obscene)?

1. Suppose that A = {2, 4, 6, 8}, B = {2, 4, 8}, and C = {4, 8}. Write out the relationship between A and B, A and C, B and C.

2. Determine whether each of the following pairs of sets are equal.
a) {1, 3, 5, 7} and {3, 1, 7, 5}
b) {{1}} and {1, {1}}

3. Determine whether each of the following statement is true or false:
a) x ∈ {x}
b) {x} ⊆{x}
c) {x} ∈{x}
d) {x} ∈ {{x}}

4. Let A = {b, c, d, f, g}, B = {a, b, c}.
a) Find (A ⋃ B)
b) Find (A ⋂ B)
c) A – B
d) B – A

What is the approximate sums of the following masses in milligrams:

1.0 g
1.0 mg
1.0 kg

Three points P, Q and R have the position vectors p, q and r respectively where p=7i +10j, q=3i + 12j r= -i + 4j
Show that |QS| = |RS| by finding the PSQ where S is the mid-point of PR

1)The points A, B and x have coordinates (2,3) (6,3) and (5,6) respectively
A)The figure ABCD is a square find coordinates of the point D