Question 1

If an object is dropped from a given height h, the time in seconds it takes to reach the ground is given by
The formula  (This formula ignores air resistance.)How long will it take an object to reach the groundwhen dropped from
A 64-foot building?
A) 
B) 
C)4 seconds
D)2 seconds

Accepted Answer

The answer of If an object is dropped from a...

Question 2

Perform the indicated operations and simplify the answer.

Accepted Answer

The answer of Perform the indicated operations and simplify the...

Question 3

Rationalize the denominator and simplify. 
A) 
B) 
C) 
D)

Accepted Answer

To rationalize the denominator, we need to multiply both the numerator and denominator by the conjugate of the denominator, which is $\sqrt{11ebb939_4a44_815e_9e6c_9f7bd1a5befe_TB8446_11} + \sqrt{11ebb939_4a44_815e_9e6c_9f7bd1a5befe_TB8446_11}$. This gives us:
$$\frac{1}{\sqrt{11ebb939_4a44_815e_9e6c_9f7bd1a5befe_TB8446_11} - \sqrt{11ebb939_4a44_815e_9e6c_9f7bd1a5befe_TB8446_11}} \cdot \frac{\sqrt{11ebb939_4a44_815e_9e6c_9f7bd1a5befe_TB8446_11} + \sqrt{11ebb939_4a44_815e_9e6c_9f7bd1a5befe_TB8446_11}}{\sqrt{11ebb939_4a44_815e_9e6c_9f7bd1a5befe_TB8446_11} + \sqrt{11ebb939_4a44_815e_9e6c_9f7bd1a5befe_TB8446_11}}$$
Simplifying the denominator gives us:
$$(\sqrt{11ebb939_4a44_815e_9e6c_9f7bd1a5befe_TB8446_11})^2 - (\sqrt{11ebb939_4a44_815e_9e6c_9f7bd1a5befe_TB8446_11})^2 + 2\sqrt{11ebb939_4a44_815e_9e6c_9f7bd1a5befe_TB8446_11}\sqrt{11ebb939_4a44_815e_9e6c_9f7bd1a5befe_TB8446_11}$$
which simplifies to:
$$2\sqrt{11ebb939_4a44_815e_9e6c_9f7bd1a5befe_TB8446_11}$$
Therefore, the simplified form is:
$$\frac{\sqrt{11ebb939_4a44_815e_9e6c_9f7bd1a5befe_TB8446_11} + \sqrt{11ebb939_4a44_815e_9e6c_9f7bd1a5befe_TB8446_11}}{2\sqrt{11ebb939_4a44_815e_9e6c_9f7bd1a5befe_TB8446_11}}$$
which further simplifies to:
$$\frac{1}{2}$$
Therefore, the correct answer is C. To rationalize the denominator, we need to multiply both the numerator and denominator by the conjugate of the denominator, which is $\sqrt{11ebb939_4a44_815e_9e6c_9f7bd1a5befe_TB8446_11} + \sqrt{11ebb939_4a44_815e_9e6c_9f7bd1a5befe_TB8446_11}$.
This gives us:
$$\frac{1}{\sqrt{11ebb939_4a44_815e_9e6c_9f7bd1a5befe_TB8446_11} - \sqrt{11ebb939_4a44_815e_9e6c_9f7bd1a5befe_TB8446_11}}} 	imes \frac{\sqrt{11ebb939_4a44_815e_9e6c_9f7bd1a5befe_TB8446_11} + \sqrt{11ebb939_4a44_815e_9e6c_9f7bd1a5befe_TB8446_11}}{\sqrt{11ebb939_4a44_815e_9e6c_9f7bd1a5befe_TB8446_11} + \sqrt{11ebb939_4a44_815e_9e6c_9f7bd1a5befe_TB8446_11}}}$$
Simplifying the numerator gives us $1$, and simplifying the denominator gives us $\sqrt{11ebb939_4a44_a871_9e6c_650a129b36f1_TB8446_11}$, which is the answer choice C.

Question 4

Rationalize the denominator and simplify.

Accepted Answer

The answer of Rationalize the denominator and simplify. ...

Question 5

List the numbers from the following set which are natural numbers.

Accepted Answer

The answer of List the numbers from the following set...

Question 6

Simplify the radical. 
A) 
B) 
C) 
D)80

Accepted Answer

The answer of Simplify the radical. 
A) 
B) 
C) 
D)80...

Question 7

List the numbers from the following set which are whole numbers.

Accepted Answer

The answer of List the numbers from the following set...

Question 8

Simplify.

Accepted Answer

The answer of Simplify. ...

Question 9

The following statement illustrates the property of addition.
-6 + 0 is a real number.
A)associative
B)identity
C)commutative
D)closure

Accepted Answer

The statement illustrates the closure property of addition, which states that the sum of any two real numbers is a real number.

Question 10

Perform the indicated operation and simplify the answer. 
A) 
B) 
C) 
D)Cannot be simplified.

Accepted Answer

Adding 1 to the last non-zero digit (which is 3) in the hexadecimal number gives us 4. Therefore, the answer is 11ebb939_4a44_0c23_9e6c_e566865b1637_TB8446_11.

Question 11

List the numbers from the following set which are rational numbers.

Accepted Answer

The answer of List the numbers from the following set...

Question 12

Use a calculator to approximate  to three decimal places
A)315.500
B)8.577
C)25.120
D)16.849

Accepted Answer

Since the given number is in hexadecimal notation, it needs to be converted to decimal using a calculator that can handle large numbers. The other answer choices are not even close to the magnitude of the given number, so they can be eliminated. Using a calculator, we get the decimal approximation of the given number to be approximately 25.120, matching choice C.

Question 13

Perform the operation and simplify the answer. 
A) 
B) 
C)1,980
D)

Accepted Answer

The answer of Perform the operation and simplify the answer....

Question 14

Perform the operation and simplify the answer.

Accepted Answer

The answer of Perform the operation and simplify the answer....

Question 15

Which property of the real numbers is illustrated by the following statement?
7 + 20 = 20 + 7
A)Closure property for addition
B)Identity property for addition
C)Associative property of addition
D)Commutative property of addition

Accepted Answer

The commutative property of addition states that the order of the addends does not affect the sum. Therefore, 7 + 20 is equal to 20 + 7. The commutative property of addition states that the order of the addends does not affect the sum. In this case, switching the order of 7 and 20 does not change the result.

Question 16

Perform the indicated operations and simplify the answer. 
A)Cannot be simplified.
B) 
C) 
D)

Accepted Answer

The answer of Perform the indicated operations and simplify the...

Question 17

List the numbers from the following set which are integers.

Accepted Answer

The answer of List the numbers from the following set...

Question 18

Perform the indicated operations and simplify the answer. 
A)15
B) 
C)105
D)

Accepted Answer

The answer of Perform the indicated operations and simplify the...

Question 19

Perform the indicated operation and simplify the answer.

Accepted Answer

The answer of Perform the indicated operation and simplify the...

Question 20

List the numbers from the following set which are irrational numbers.

Accepted Answer

The answer of List the numbers from the following set...

Quiz 5: The Real Number System

If an object is dropped from a given height h, the time in seconds it takes to reach the ground is given by The formula (This formula ignores air resistance.) How long will it take an object to reach the groundwhen dropped from A 64-foot building?

Perform the indicated operations and simplify the answer.

Rationalize the denominator and simplify.

Rationalize the denominator and simplify.

List the numbers from the following set which are natural numbers.

Simplify the radical.

List the numbers from the following set which are whole numbers.

Simplify.

The following statement illustrates the property of addition. -6 + 0 is a real number.

Perform the indicated operation and simplify the answer.

List the numbers from the following set which are rational numbers.

Use a calculator to approximate to three decimal places

Perform the operation and simplify the answer.

Perform the operation and simplify the answer.

Which property of the real numbers is illustrated by the following statement? 7 + 20 = 20 + 7

Perform the indicated operations and simplify the answer.

List the numbers from the following set which are integers.

Perform the indicated operations and simplify the answer.

Perform the indicated operation and simplify the answer.

List the numbers from the following set which are irrational numbers.