Free Bachelor of Liberal Arts For Math Questions and Answers

Question 1

What does the binary equivalent of the number 13 in base-10 look like?

Accepted Answer

1101

Answer

To convert a base-10 number like 13 to binary, you repeatedly divide the number by 2 and record the remainders. For 13, the steps are: 13 ÷ 2 = 6 remainder 1, then 6 ÷ 2 = 3 remainder 0, then 3 ÷ 2 = 1 remainder 1, and finally 1 ÷ 2 = 0 remainder 1. Reading the remainders from bottom to top gives the binary equivalent: 1101.

Question 2

Where does the y-axis cross the line for the equation 14x + 7y = -35 when it is shown on a Cartesian graph?

Accepted Answer

-5

Answer

The y-axis on a Cartesian graph is where the x-coordinate is always zero. To find where the line 14x + 7y = -35 crosses the y-axis, you substitute x = 0 into the equation. This simplifies to 14(0) + 7y = -35, which becomes 7y = -35. Dividing both sides by 7 yields y = -5, indicating the line crosses the y-axis at the point (0, -5).

Question 3

What kind of integer should be used as the answer to the following division operation?

16/-3

Accepted Answer

Rational

Answer

The result of 16 divided by -3 is -16/3, which is a fraction. A rational number is any number that can be expressed as a fraction p/q, where p and q are integers and q is not zero. Since -16 and 3 are both integers, and 3 is not zero, -16/3 fits the definition of a rational number.

Question 4

Mark works as a salesperson in a jewelry shop. Mark sold goods valued at $8391, $8511, $11054, and $9510 throughout the course of the four weeks of April 2018. What was the monthly mean of his weekly sales?

Accepted Answer

$9366.50

Answer

To find the monthly mean (average) of Mark's weekly sales, you first sum all the sales figures for the four weeks. The total sales are $8391 + $8511 + $11054 + $9510 = $37466. Then, you divide this sum by the number of weeks, which is 4. Therefore, the monthly mean is $37466 / 4 = $9366.50.

Question 5

Which kind of logical reasoning rule does the compound expression "if-then" use in truth tables?

Accepted Answer

Implication

Answer

The compound expression 'if-then' in logical reasoning is formally known as implication. In truth tables, an implication (P → Q) states that if P is true, then Q must also be true. This rule is only false when the 'if' part (antecedent) is true and the 'then' part (consequent) is false; otherwise, it is considered true.

B.L.A.; occasionally A.L.B. Bachelor of Liberal Arts Practice Test

B.L.A.; occasionally A.L.B. Bachelor of Liberal Arts Practice Test

Free Bachelor of Liberal Arts For Math Questions and Answers