Question 1

The chart below shows the closing price of a share of stock on September 15, 2003, for each of five companies. Also shown is the change in price from the previous day. To find the closing price on the previous day, subtract the change in price from the closing price on September 15. Find the closing price on the previous day for Del Monte Foods. Company
Closing Price
Change in Price
Del Monte Foods Co.
8)77
-0)06
General Mills, Inc.
47)10
-0)11
Hershey Foods, Inc.
72)57
+0)11
Hormel Foods Corp.
22)42
-0)08
Sara Lee Corp.
19)18
-0)21

Accepted Answer

To find the closing price on the previous day for Del Monte Foods, add the change in price to the closing price on September 15: $8.77 + $0.06 = $8.83.

Question 2

The boiling point of nitrogen is $- 195.8 ^ { \circ } \mathrm { C }$ and the melting point is $- 209.86 ^ { \circ } \mathrm { C }$ Find the difference between the boiling point and the melting point of nitrogen.

Accepted Answer

The difference between the boiling point and the melting point of nitrogen is calculated by subtracting the melting point from the boiling point: $-195.8 - (-209.86) = 14.06 ^{\circ}C$.

Question 3

A child's temperature was 101.4°F during a visit to the pediatrician for an ear infection. Three hours after beginning the antibiotic prescribed by the doctor, the change in the child's temperature was -2.1°. What was the child's temperature after beginning the antibiotic?

Accepted Answer

The child's temperature after beginning the antibiotic would be 101.4°F - 2.1°F = 99.3°F.

Question 4

The diameter of an dust particle is 0.000000022 meters. Write this number in scientific notation.

Accepted Answer

To convert the diameter of the dust particle (0.000000022 meters) into scientific notation, you move the decimal point 8 places to the right, resulting in $2.2 \times 10^{-8}$ meters.

Question 5

The normal range for a white blood cell count is 4,000 cells/?l to 18,000 cells/?l. Write these numbers in scientific notation.

Accepted Answer

4,000 is 4 × 10^3 and 18,000 is 1.8 × 10^4 in scientific notation.

Question 6

The normal range for a red blood cell count is 3.4 × $10 ^ { 2 }$ cells/?l to 6.0 × $10 ^ { 2 }$ cells/?l. Write these numbers in decimal notation.

Accepted Answer

The notation $10^2$ represents a factor of 100. Therefore, 3.4 × $10^2$ equals 340 and 6.0 × $10^2$ equals 600.

Question 7

Write the number $4.3 \times 10 ^ { - 5 }$ in decimal notation.

Accepted Answer

To convert $4.3 \times 10^{-5}$ to decimal notation, move the decimal point 5 places to the left, resulting in 0.000043.

Question 8

Write the number 57,000,000,000,000 in scientific notation.

Accepted Answer

To convert the number 57,000,000,000,000 into scientific notation, you move the decimal point 13 places to the left, which gives $5.7 \times 10^{13}$.

Question 9

Simplify the following. $- 4 \div 2 + 7$

Accepted Answer

-4 ÷ 2 + 7 = -2 + 7 = 5

Question 10

Simplify the following. $7 - 25 \div 5$

Accepted Answer

According to the order of operations (PEMDAS/BODMAS), division comes before subtraction. So, you first divide 25 by 5 to get 5, and then subtract that from 7, resulting in 2.

Question 11

Hypothermia begins when a person's core body temperature falls below 95°. A patient in the emergency room has a core body temperature 2.4° below the normal body temperature of 98.3°. Is this patient suffering from hypothermia?

Accepted Answer

The answer of Hypothermia begins when a person's core body...

Question 12

Write the mass of Mars, which is approximately 642,000,000,000,000,000,000,000 kg, in scientific notation.

Accepted Answer

The answer of Write the mass of Mars, which is...

Question 13

Write the number 0.000057 in scientific notation.

Accepted Answer

The answer of Write the number 0.000057 in scientific notation.
...

Question 14

Simplify the following. $3 - ( 49 - 98 ) / 7$

Accepted Answer

First, solve the expression inside the parentheses: $49 - 98 = -49$. Then, divide by 7: $(-49) / 7 = -7$. Finally, subtract from 3: $3 - (-7) = 3 + 7 = 10$.

Question 15

Write the number $5.5 \times 10 ^ { 12 }$ in decimal notation.

Accepted Answer

The notation $5.5 \times 10^{12}$ means 5.5 followed by 12 zeros, which equals 5,500,000,000,000.

Question 16

On January 23, 1916, the temperature outside the city hall in Browning, Montana, was approximately $6.72 ^ { \circ } \mathrm { C }$ On January 24, 1916, the temperature was approximately $- 48.32 ^ { \circ } \mathrm { C }$ Find the difference between the temperatures in Browning on these two days.

Accepted Answer

To find the difference in temperatures, subtract the first day's temperature from the second day's temperature: $-48.32 - 6.72 = -55.04$. The difference is $55.04 ^{\circ}C$, considering the absolute value of the change.

Question 17

If a patient's red blood cell count drops below the normal range of 3.6 ×
 $10 ^ { 6 }$ cells/?l to 6.0 ×  $10 ^ { 6 }$ cells/?l , the patient is suffering from anemia. The red blood cell count of a patient is 2,100,000 cells/?l. Write this cell count in scientific notation. Is this patient anemic?

Accepted Answer

The patient's red blood cell count of 2,100,000 cells/μl can be written in scientific notation as 2.1 × $10^6$ cells/μl. Since this is below the normal range, the patient is anemic.

Question 18

Simplify: $80.24 \div ( - 0.8 )$

Accepted Answer

The answer of Simplify: $80.24 \div ( - 0.8 )$
...

Question 19

A patient with acute myeloid leukemia has a white blood cell count of 1.8 × $10 ^ { 4 }$ cells/?l. Write this number in decimal notation

Accepted Answer

The notation $1.8 \times 10^{4}$ in decimal form is 18,000.

Question 20

The pH scale is used to indicate the acidity of a solution based on the concentration of hydrogen ions in the solution. The scale ranges from 0 to 14, and solutions with low pH numbers are more acidic than those with high pH numbers. Vinegar is a acidic solution with a pH of 2.2, indicating that it contains 1 × $10 ^ { - 2 }$ g of hydrogen ions per liter. Write this number in decimal form.

Accepted Answer

The notation $10^{-2}$ means $1/10^2$ or $1/100$, which in decimal form is 0.01.

Quiz 11: Introduction to Algebra

The boiling point of nitrogen is −195.8∘C- 195.8 ^ { \circ } \mathrm { C }−195.8∘C and the melting point is −209.86∘C- 209.86 ^ { \circ } \mathrm { C }−209.86∘C Find the difference between the boiling point and the melting point of nitrogen.

A child's temperature was 101.4°F during a visit to the pediatrician for an ear infection. Three hours after beginning the antibiotic prescribed by the doctor, the change in the child's temperature was -2.1°. What was the child's temperature after beginning the antibiotic?

The diameter of an dust particle is 0.000000022 meters. Write this number in scientific notation.

The normal range for a white blood cell count is 4,000 cells/?l to 18,000 cells/?l. Write these numbers in scientific notation.

The normal range for a red blood cell count is 3.4 × 10210 ^ { 2 }102 cells/?l to 6.0 × 10210 ^ { 2 }102 cells/?l. Write these numbers in decimal notation.

Write the number 4.3×10−54.3 \times 10 ^ { - 5 }4.3×10−5 in decimal notation.

Write the number 57,000,000,000,000 in scientific notation.

Simplify the following. −4÷2+7- 4 \div 2 + 7−4÷2+7

Simplify the following. 7−25÷57 - 25 \div 57−25÷5