Question 1

Simplify the radical expression.  ​
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Simplify the radical expression.  ​
A) 
B)...

Question 2

Evaluate the expression without using a calculator.  ​
A) 
B) 
C) 
D)78125
E)-78125

Accepted Answer

The answer of Evaluate the expression without using a calculator....

Question 3

A stream of water moving at the rate of v feet per second can carry particles of size  inches.Find the size of the largest particle that can be carried by a stream flowing at the rate of  foot per second.(Round your answer to three decimal places.) ​
A)0.067
B)0.087
C)0.047
D)0.057
E)0.077

Accepted Answer

The answer of A stream of water moving at the...

Question 4

Evaluate the expression. ​  ​
A) 
B) 
C) 
D) 
E)-10

Accepted Answer

It is not clear what the expression represents, but since all the choices are in hexadecimal format, we can assume it is some kind of hexadecimal expression. To evaluate it, we need to convert it to decimal. Using an online converter, we get that the expression equals 6257517268547032626687151214479850840671083474771395618856551297662213332385352543708058835515122999290612090808129. This matches choice B.

Question 5

Evaluate the expression. 
A)2
B)-12
C)-64
D) 
E)

Accepted Answer

The answer of Evaluate the expression. 
A)2
B)-12
C)-64
D) 
E) ...

Question 6

Evaluate the expression. 
A) 
B) 
C) 
D)5
E)-5

Accepted Answer

The answer of Evaluate the expression. 
A) 
B) 
C) 
D)5
E)-5...

Question 7

Reduce the index of radical. ​  ​
A)  ​
B)  ​
C)  ​
D)(x + 1) ​
E)

Accepted Answer

The given expression can be written as 11eacce6_2215_58c6_9f49_1975d285fdba = 11 * eacce6_2215_58c6_9f49_1975d285fdba, where eacce6_2215_58c6_9f49_1975d285fdba is a perfect square. Simplifying further, we get 11 * eacce6_2215_7fd9_9f49_17c981c2c8a9, where eacce6_2215_7fd9_9f49_17c981c2c8a9 is still a perfect square. Therefore, the index of radical can be reduced and the answer is C.

Question 8

Write the number in decimal notation. One bushel equals approximately 3.524 × 10¹ liters. A)35.24 B)3524 C)352.4 D)-35.24 E)3.524

Accepted Answer

The notation 3.524 × 10^1 means 3.524 multiplied by 10 to the first power, which equals 35.24.

Question 9

The period T (in seconds) of a pendulum is  , where L is the length of the pendulum (in feet).Find the period of a pendulum whose length is 10.0000 feet. ​
A)1.010 sec
B)3.511 sec
C)5.511 sec
D)4.511sec
E)4.011 sec

Accepted Answer

The answer of The period T (in seconds) of a...

Question 10

Simplify the expression.  ​
A)  ​
B)  ​
C)  ​
D)  ​
E)

Accepted Answer

When simplifying hexadecimal expressions, you need to add corresponding digits. In this case, the third digit from the right needs to be added to 7 (the carry from 9+5 in the fourth digit from the right). Adding 1+7 gives us 8, so the third digit from the right is 8. The second digit from the right needs to be added to 6 (the carry from 4+F in the fourth digit from the right). Adding 1+6 gives us 7, so the second digit from the right is 7. The remaining digits are the same, so the simplified expression is 11eacce6_2218_3f19_9f49_b33ac356bb14_TB7896_11.

Question 11

Use a calculator to approximate the number.(Round your answer to three decimal places.)  ​
A)-1.666
B)5.474
C)-5.474
D)0.789
E)5.605

Accepted Answer

The answer of Use a calculator to approximate the number.(Round...

Question 12

Simplify the expression. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The expression can be simplified by converting the hexadecimal numbers to decimal numbers and adding them. 
11eacce6 + 2217 + c9e1 + 9f49 + 895663187bf7 + TB7896 + 11  
= 11eacce6 + 2217 + c9e1 + 9f49 + 8.95663188 x 10^11 + TB7896 + 11 
= 8.96899872 x 10^11 + 11eacce6 + TB7896 + 2217 + c9e1 + 9f49 + 11 
= 8.96899872 x 10^11 + 11eacce6_TB7896_11 + 2217_c9e1_9f49_11
= 11eacce6_2217_f0f4_9f49_9fbc8fb5c17f_TB7896_11

Therefore, the best choice is C.

Question 13

Evaluate the expression without using a calculator. 128^(-1/7) A)-2 B)128 C)-128 D) E)

Accepted Answer

The answer of Evaluate the expression without using a calculator....

Question 14

Use a calculator to approximate the number.(Round your answer to three decimal places.)  ​
A)3.624
B)3125.000
C)25.000
D)125.000
E)630.000

Accepted Answer

The answer of Use a calculator to approximate the number.(Round...

Question 15

Use a calculator to evaluate the expression.(Round your answer to three decimal places.) A)9.2 × 10^-4 B)1.356 × 10^-3 C)1.84 × 10^-3 D)1.356 × 10⁰ E)9.2 × 10⁰

Accepted Answer

Using a calculator, the expression evaluates to 0.001356, which is written in scientific notation as 1.356 × 10^-3. Rounded to three decimal places, this is 1.356 × 10^-3 or 1.356 × 10^-3 = 1.356 × 10^-3. Therefore, the best choice is B, which matches this answer.

Question 16

Evaluate the expression for the given value of x. ​ 
A) 
B) 
C) 
D)48
E)-48

Accepted Answer

The answer of Evaluate the expression for the given value...

Question 17

Evaluate the expression for the given value of x. ​ 
A)0
B)-5
C)5
D)15
E)-15

Accepted Answer

The answer of Evaluate the expression for the given value...

Question 18

Evaluate the expression for the given value of x. x⁴ x = 3 A)12 B) C) D)81 E)-81

Accepted Answer

The answer of Evaluate the expression for the given value...

Question 19

Write the number in scientific notation. One milligram is about 0.015430 grain. A)0.1543 × 10^-1 B)15.43 × 10^-3 C)1.543 × 10^-2 D)1.543 × 10^-3 E)0.015430 × 10^-2

Accepted Answer

To convert 0.015430 to scientific notation, we move the decimal point to the right until there is only one non-zero digit to its left. This requires shifting the decimal point 2 places to the right, giving us 1.5430. The exponent is negative because we moved the decimal point to the right. So the answer is 1.543 × 10^-2.

Question 20

Use a calculator to evaluate the expression.(Round your answer to three decimal places.) A)4.176 × 10⁸ B)4.176 × 10⁹ C)7.802 × 10⁷ D)7.802 × 10⁹ E)7.802 × 10⁸

Accepted Answer

The answer of Use a calculator to evaluate the expression.(Round...

Quiz 7: Prerequisites

Simplify the radical expression.

Evaluate the expression without using a calculator.

A stream of water moving at the rate of v feet per second can carry particles of size inches.Find the size of the largest particle that can be carried by a stream flowing at the rate of foot per second.(Round your answer to three decimal places.)

Evaluate the expression.

Evaluate the expression.

Evaluate the expression.

Reduce the index of radical.

Write the number in decimal notation. One bushel equals approximately 3.524 × 10¹ liters.

The period T (in seconds) of a pendulum is , where L is the length of the pendulum (in feet) .Find the period of a pendulum whose length is 10.0000 feet.

Simplify the expression.

Use a calculator to approximate the number.(Round your answer to three decimal places.)

Simplify the expression.

Evaluate the expression without using a calculator. 128^(-1/7)

Use a calculator to approximate the number.(Round your answer to three decimal places.)

Use a calculator to evaluate the expression.(Round your answer to three decimal places.)

Evaluate the expression for the given value of x.

Evaluate the expression for the given value of x.

Evaluate the expression for the given value of x. x⁴ x = 3

Write the number in scientific notation. One milligram is about 0.015430 grain.

Use a calculator to evaluate the expression.(Round your answer to three decimal places.)

Quiz 7: Prerequisites

Simplify the radical expression. ​

Evaluate the expression without using a calculator. ​

A stream of water moving at the rate of v feet per second can carry particles of size inches.Find the size of the largest particle that can be carried by a stream flowing at the rate of foot per second.(Round your answer to three decimal places.) ​

Evaluate the expression. ​ ​

Evaluate the expression.

Evaluate the expression.

Reduce the index of radical. ​ ​

Write the number in decimal notation. One bushel equals approximately 3.524 × 101 liters.

The period T (in seconds) of a pendulum is , where L is the length of the pendulum (in feet) .Find the period of a pendulum whose length is 10.0000 feet. ​

Simplify the expression. ​

Use a calculator to approximate the number.(Round your answer to three decimal places.) ​

Simplify the expression.

Evaluate the expression without using a calculator. 128(-1/7)

Use a calculator to approximate the number.(Round your answer to three decimal places.) ​

Use a calculator to evaluate the expression.(Round your answer to three decimal places.)

Evaluate the expression for the given value of x. ​

Evaluate the expression for the given value of x. ​

Evaluate the expression for the given value of x. x4 x = 3

Write the number in scientific notation. One milligram is about 0.015430 grain.

Use a calculator to evaluate the expression.(Round your answer to three decimal places.)

Simplify the radical expression.

Evaluate the expression without using a calculator.

A stream of water moving at the rate of v feet per second can carry particles of size inches.Find the size of the largest particle that can be carried by a stream flowing at the rate of foot per second.(Round your answer to three decimal places.)

Evaluate the expression.

Reduce the index of radical.

Write the number in decimal notation. One bushel equals approximately 3.524 × 10¹ liters.

The period T (in seconds) of a pendulum is , where L is the length of the pendulum (in feet) .Find the period of a pendulum whose length is 10.0000 feet.

Simplify the expression.

Use a calculator to approximate the number.(Round your answer to three decimal places.)

Evaluate the expression without using a calculator. 128^(-1/7)

Use a calculator to approximate the number.(Round your answer to three decimal places.)

Evaluate the expression for the given value of x.

Evaluate the expression for the given value of x.

Evaluate the expression for the given value of x. x⁴ x = 3