Free Online Math Questions Calculator Permitted Exam 2

Question 1

Which of the following must be true?

Accepted Answer

Question 2

The gas mileage for Peter’s car is 21 miles per gallon when the car travels at an average speed of 50 miles per hour. The car’s gas tank has 17 gallons of gas at the beginning of a trip. If Peter’s car travels at an average speed of 50 miles per hour, which of the following functions f models the number of gallons of gas remaining in the tank t hours after the trip begins?

Accepted Answer

300 randomly selected undergraduate psychology-degree program students

Answer

40 randomly selected undergraduate psychology-degree program students

Answer

40 randomly selected undergraduate students from all degree programs at the college

Answer

300 randomly selected undergraduate students from all degree programs at the college

Question 3

The toll rates for crossing a bridge are $6.50 for a car and $10 for a truck. During a two-hour period, a total of 187 cars and trucks crossed the bridge, and the total collected in tolls was $1,338. Solving which of the following systems of equations yields the number of cars, x, and the number of trucks, y, that crossed the bridge during the two hours?

Accepted Answer

4

Answer

2

Answer

6

Answer

9

Question 4

When a scientist dives in salt water to a depth of 9 feet below the surface, the pressure due to the atmosphere and surrounding water is 18.7 pounds per square inch. As the scientist descends, the pressure increases linearly. At a depth of 14 feet, the pressure is 20.9 pounds per square inch. If the pressure increases at a constant rate as the scientist’s depth below the surface increases, which of the following linear models best describes the pressure p in pounds per square inch at a depth of d feet below the surface?

Accepted Answer

The predicted height increase in centimeters for one centimeter increase in the first metacarpal bone

Answer

The predicted first metacarpal bone increase in centimeters for every centimeter increase in height

Answer

The predicted height in centimeters of a person with a first metacarpal bone length of 0 centimeters

Answer

The predicted first metacarpal bone length in centimeters for a person with a height of 0 centimeters

Question 5

The scatterplot above shows counts of Florida manatees, a type of sea mammal, from 1991 to 2011. Based on the line of best fit to the data shown, which of the following values is closest to the average yearly increase in the number of manatees?

Accepted Answer

170 centimeters

Answer

168 centimeters

Answer

169 centimeters

Answer

171 centimeters

Question 6

A researcher places two colonies of bacteria into two petri dishes that each have area 10 square centimeters. After the initial placement of the bacteria left parenthesis t space equals space 0 right parenthesis comma the researcher measures and records the area covered by the bacteria in each dish every ten minutes. The data for each dish were fit by a smooth curve, as shown above, where each curve represents the area of a dish covered by bacteria as a function of time, in hours. Which of the following is a correct statement about the data above?

Accepted Answer

Question 7

A typical image taken of the surface of Mars by a camera is 11.2 gigabits in size. A tracking station on Earth can receive data from the spacecraft at a data rate of 3 megabits per second for a maximum of 11 hours each day. If 1 gigabit equals 1,024 megabits, what is the maximum number of typical images that the tracking station could receive from the camera each day?

Accepted Answer

Two

Answer

One

Answer

Three

Answer

Four

Question 8

If (x,y)  is a solution to the system of equations above, what is the value of x² ?

Accepted Answer

7 over 92

Answer

7 over 103

Answer

90 over 103

Answer

78 over 103

Question 9

The figure above shows a metal hex nut with two regular hexagonal faces and a thickness of 1 cm. The length of each side of a hexagonal face is 2 cm. A hole with a diameter of 2 cm is drilled through the nut. The density of the metal is 7.9 grams per cubic cm. What is the mass of this nut, to the nearest gram? (Density is mass divided by volume.)

Accepted Answer

Question 10

An international bank issues its Traveler credit cards worldwide. When a customer makes a purchase using a Traveler card in a currency different from the customer’s home currency, the bank converts the purchase price at the daily foreign exchange rate and then charges a 4% fee on the converted cost.  Sara lives in the United States, but is on vacation in India. She used her Traveler card for a purchase that cost 602 rupees (Indian currency). The bank posted a charge of $9.88 to her account that included the 4% fee.  What foreign exchange rate, in Indian rupees per one U.S. dollar, did the bank use for Sara’s charge? Round your answer to the nearest whole number.

Accepted Answer

55- to 74-year-olds

Answer

18- to 34-year-olds

Answer

35- to 54-year-olds

Answer

People 75 years old and over