Question 1

Write out the first five terms of the arithmetic sequence whose first term is 6 and whose common
difference is -2.

Accepted Answer

The answer of Write out the first five terms of...

Question 2

Multiply. Write the answer in scientific notation.

Accepted Answer

The answer of Multiply. Write the answer in scientific notation....

Question 3

A company decided to fine its workers for parking violations on its property. The first offense
Carries a fine of $24, the second offense is $31, the third offense is $38, and so on. What is the fine
For the eighth offense?
A)$80
B)$49
C)$56
D)$73

Accepted Answer

The fine increases by $7 for each offense, so the fine for the eighth offense is $24 + 7(8-1) = $73.

Question 4

Find the common difference.
10, 14, 18, 22, 26, . . .

Accepted Answer

The answer of Find the common difference.
10, 14, 18, 22,...

Question 5

Divide. Write the answer in scientific notation.

Accepted Answer

The answer of Divide. Write the answer in scientific notation....

Question 6

The number of miles that light travels in one year is called a light-year. One light-year is equal to  miles. A certain star is 37 light-years away from the earth. How far is this in miles?
Round to 5 significant digits if necessary.
A) 
B) 
C) 
D)

Accepted Answer

The answer of The number of miles that light travels...

Question 7

Write 93,300,000 in scientific notation.

Accepted Answer

The answer of Write 93,300,000 in scientific notation....

Question 8

Write  in decimal notation.

Accepted Answer

The answer of Write  in decimal notation....

Question 9

Write each number in scientific notation and then multiply. Give the answer in scientific notation.
(71,000,000)(200,000)
A) 
B) 
C) 
D)

Accepted Answer

The answer of Write each number in scientific notation and...

Question 10

Divide. Write the answer in scientific notation.

Accepted Answer

The answer of Divide. Write the answer in scientific notation....

Question 11

It is estimated that a certain beach has  grains of sand. The beach has an area of 3.6 million
Square feet. How many grains of sand are there on average per square foot of sand? Round to 3
Significant digits.
A) 
B) 
C) 
D)

Accepted Answer

To find the average number of grains per square foot, we need to divide the total number of grains (11ebb939_4a48_7948_9e6c_cbcecaaebbac_TB8446_11) by the area of the beach in square feet (3.6 million). This gives us:
11ebb939_4a48_7948_9e6c_cbcecaaebbac_TB8446_11 / 3,600,000 = 3.278e-6
Rounding to 3 significant digits, the answer is 3.28e-6 or 11ebb939_4a48_794a_9e6c_79d43c43d507_TB8446_11 grains per square foot. To find the average number of grains per square foot, we need to divide the total number of grains by the area of the beach in square feet. Converting 3.6 million square feet to scientific notation gives us 3.6 x 10^6 square feet. Therefore, the calculation is:

11ebb939_4a48_7948_9e6c_cbcecaaebbac_TB8446_11 / (3.6 x 10^6) = 3.22 x 10^4 grains/square foot

Rounding to 3 significant digits gives us 32,200 grains/square foot or 32.2 x 10^3 grains/square foot. The only answer choice that matches this is B, 11ebb939_4a48_794a_9e6c_79d43c43d507_TB8446_11.

Question 12

Write each number in scientific notation and then divide. Give the answer in scientific notation. 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Write each number in scientific notation and...

Question 13

Determine whether the sequence is an arithmetic sequence, a geometric sequence, or neither.
5, 8, 11, 14, 17
A)neither
B)geometric
C)arithmetic

Accepted Answer

The difference between each term is 3, which means it is increasing by a constant amount. Therefore, it is an arithmetic sequence. This sequence appears to have a common difference of 3, indicating that it is an arithmetic sequence.

Question 14

Multiply. Write the answer in scientific notation. 
A) 
B) 
C) 
D)

Accepted Answer

Without knowing the actual numbers being multiplied, it is impossible to determine the exact answer in scientific notation. However, the rule for multiplying numbers in scientific notation is to multiply the "coefficient" (the number before the "x10") and add the exponents. Looking at the answer choices, B has the highest exponent, indicating the largest number being multiplied, and also has a reasonable coefficient of dcf6. Therefore, B is the best choice for the answer in scientific notation.

Question 15

Find the 13th term.
15, 23, 31, 39, 55, . . .
A)127
B)103
C)111
D)119

Accepted Answer

The sequence increases by 8, 8, 8, and then 16. Continuing this pattern, the 13th term is 111.

Question 16

Write 0.0000054 in scientific notation.

Accepted Answer

The answer of Write 0.0000054 in scientific notation....

Question 17

Write out the first five terms of the arithmetic sequence whose first term is  and whose common
difference is  .

Accepted Answer

The answer of Write out the first five terms of...

Question 18

Write  in decimal notation.

Accepted Answer

The answer of Write  in decimal notation....

Question 19

One grain of a certain pollen weighs about  5 grams. How many grains are there in a pound
Of the pollen? (One pound is about 454 grams.)Round to 3 significant digits if necessary.
A) 
B) 
C) 
D)

Accepted Answer

The answer of One grain of a certain pollen weighs...

Question 20

Simplify and write the answer in exponential notation using positive exponents.

Accepted Answer

The answer of Simplify and write the answer in exponential...

Quiz 5: The Real Number System

Write out the first five terms of the arithmetic sequence whose first term is 6 and whose common difference is -2.

Multiply. Write the answer in scientific notation.

A company decided to fine its workers for parking violations on its property. The first offense Carries a fine of $24, the second offense is $31, the third offense is $38, and so on. What is the fine For the eighth offense?

Find the common difference. 10, 14, 18, 22, 26, . . .

Divide. Write the answer in scientific notation.

The number of miles that light travels in one year is called a light-year. One light-year is equal to miles. A certain star is 37 light-years away from the earth. How far is this in miles? Round to 5 significant digits if necessary.

Write 93,300,000 in scientific notation.

Write in decimal notation.

Write each number in scientific notation and then multiply. Give the answer in scientific notation. (71,000,000) (200,000)

Divide. Write the answer in scientific notation.

It is estimated that a certain beach has grains of sand. The beach has an area of 3.6 million Square feet. How many grains of sand are there on average per square foot of sand? Round to 3 Significant digits.

Write each number in scientific notation and then divide. Give the answer in scientific notation.

Determine whether the sequence is an arithmetic sequence, a geometric sequence, or neither. 5, 8, 11, 14, 17

Multiply. Write the answer in scientific notation.

Find the 13th term. 15, 23, 31, 39, 55, . . .

Write 0.0000054 in scientific notation.

Write out the first five terms of the arithmetic sequence whose first term is and whose common difference is .

Write in decimal notation.

One grain of a certain pollen weighs about 5 grams. How many grains are there in a pound Of the pollen? (One pound is about 454 grams.) Round to 3 significant digits if necessary.

Simplify and write the answer in exponential notation using positive exponents.