Math Questions

The mass of a carbon atom is 1.994 x 10-23 grams. The mass of a hydrogen atom is 1.67 x 10-24 grams. What is the difference of their masses? A.0.324 x 10-24 grams B.1.827 x 10-23 grams C.1.827 x 10-24 grams D.0.324 x 10-23 grams

Which of the following actions provides you the best protection from a crime-related injury? Locking your car doors and staying in your car when your car breaks down. Hitchhiking your way home after your car breaks down. Intervening in a knife fight between two acquaintances. Refusing to give up your possessions to a person trying to rob you.

Gas mileage is the number of miles you can drive on a a gallon of gasoline. A test of a new car results in 370 miles on 20 gallons of gas. How far could you drive on 75 gallons of gas? What is the car's gas mileage?

If the roots of the equation x² - 6x = 27 are p and t, and if t < p, then p = 1/t t2 2t -t t+6

In the past month, Laura rented 4 video games and 6 DVDs. The rental price for each video game was $2.10. The rental price for each DVD was $3.80. What is the total amount that Laura spent on video game and DVD rentals in the past month?

The point (7,-4) is on the terminal arm of angle θ in standard position. a) Draw a sketch of angle θ. Be sure to label the side lengths and θ. b)Determine the exact values of sin θ, cos θ, and tan θ. c) State the value of θ, to the nearest degree.

Which statement best describes the difference between modality and format? The format used depends on the type of presentation, whereas the modality gives the purpose. The format is the way information should be processed by the five senses, whereas the modality is the way the information is organized. The modality used depends on the type of presentation, whereas the format gives the purpose. The modality is the way information is designed to be processed by the five senses, whereas the format is the way information is organized.

The volume of a right circular cone is 367 units³. If the height of the cone is 12 units, what is the radius of the cone? 9 units 1 unit 3 units √3 units

How does paragraph 5 contribute to the development of the story? A It shows Ivan was trying to be brave. B It shows why the men make fun of Ivan. C It shows that Ivan does not care what the men think. D It shows that Ivan will not complete the lieutenant's challenge.

ΔCRV has side lengths that measure 10 centimeters, 12 centimeters, and 15 centimeters. Which of the following best describes this type of triangle? A. Scalene triangle B. Obtuse triangle C. Isosceles triangle D. Equilateral triangle

A blologist has a 3218-gram sample of a radioactive substance. Find the mass of the sample after six hours if it decreases according to a continuous exponential decay model, at a relative rate of 15% per hour. Do not round any intermediate computations, and round your answer to the nearest tenth.

An animal breathes approximately 30 times per minute. Part A: About how many seconds would it take to breathe one million times? Part B: How many minutes would it take to breathe one million times? Part C: How many hours would it take to breathe one million times? Part D: How many days would it take to breathe one million times? Part E: How many years would it take to breathe one million times? Part A: It would take seconds to breathe one million times. (Round to the nearest second as needed.)

The population of a certain bacteria can be modeled by the function P (t) = 2,000(1.034)t, where t represents the number of hours after an experiment has started. What does 2,000 represent in the function?

A principal of $1600 is invested at 8.75% interest, compounded annually. How many years will it take to accumulate $5000 or more in the account? (Use the calculator provided if necessary.) Write the smallest possible whole number answer. years

Write an equation in slope-intercept form for the line that passes through the given point (-1,-7) and is perpendicular to the graph of 3x +12y=-6.

What is the volume of a sphere with a radius of 41.8 in, rounded to the nearest tenth of a cubic inch?

Find the direction angle of the vector w=8i-4j. That is, find the angle between 0° and 360° that w makes with the positive x-axis (measured counterclockwise), when w is in standard position. Do not round any intermediate computations, and round your answer to the nearest whole number.

Solve, using a proportion. If 13 candy bars weigh 26 ounces, then 35 candy bars weigh ounces.

There are several statements in the table below. For each, determine whether it is a negation of this statement. The water temperature is 75°F. Statement Negation (Yes/No) The water temperature is 85°F. The water temperature is not 75°F. The water temperature is not 65°F. It is not the case that the water temperature is 75°F.

Mary starts dong yard work at 4:30 P.M. She spends 1 hour and 25 minutes 2 points mowing the grass and 55 minutes pulling weeds. At what time does she finish her yard work? How much time does she spend on yard work? *

Jerome has exemptions of $7,500 for dependents. His deductions include $2,400 in allowable medical expenses, and $450 for damage to his home caused by a hailstorm. Jerome's taxable income if he has an income of $47,900 is a. $10,350 b. $37,550 c. $40,400 d. $58,250

Monica's checkbook register balance is $456.98. She has written checks in the amounts of $10.00, $14.95, $6.07, and $109.10. She has made a deposit of $30.00. Her new checkbook balance is a. $104.05 b. $170.05 c. $316.86 d. $346.86

Solve the equation by factoring. 9x² +21x-8=0

Let θ be an angle in quadrant I such that tan θ=7/4 Find the exact values of cos θ and csc θ

The length of a rectangular box is 2 times its height, and its width is 3 in more than its height. The volume of the box is 130 in calculator to find the height of the box. Round your answer to two decimal places.

The polar coordinates of a point are (9,3π/2). Find the rectangular coordinates of this point. The rectangular coordinates are (Simplify your answer. Type an ordered pair. Type an exact answer for each coordinate, using radicals as needed. Use integers or fractions for any numbers in the expression.)

A machine produces 264 bolts in 42 minutes. At the same rate, how many minutes would it take to produce 308 bolts?

The math department needs to buy new textbooks and laptops for the computer science classroom. The textbooks cost $116.00 each, and the laptops cost $439.00 each. If the math department has $6500 to spend and purchases 30 textbooks, how many laptops can they buy? 1) 6 2) 7 3) 11 4) 12

When using substitution to solve this system of equations, what is the result of the first step? x = 6y + 3 x + 2y = 5 A. x + 2(6x + 3) = 5 B. x + 2(6y + 3) = 5 C. 6y +3+ 2y = 5 D. 6x + 3 + 2y = 5

5 lbs. of organic red potatoes cost $6.00. What is the price per lb.? A. $0.83 B. $1.20 C. $0.91 D. $1.00

Solve, using a proportion. If there are 75 pepperoni on 5 large pizzas, how many pepperoni are there on 3 large pizzas? pepperoni

A 75-horsepower outboard motor at full throttle will rotate its propeller at exactly 4100 revolutions per min. Find the angular speed of the propeller in radians per second.

Suppose that you are headed toward a plateau 37.8 meters high. If the angle of elevation to the top of the plateau is 24.5°, how far are you from the base of the plateau? What is your distance from the base of the plateau? ___meters (Round to one decimal place as needed.)

A farmer has a house at the point (0, 0). He has a corn field that can be found by driving 2 units left, 2 units up, and 4 units right. If he instead walks diagonally to his corn field, how far has he gone? Round to 2 decimal places.

A surveyor measures the length of a surveying chain containing 1000 chain links. The length is 0.052 km. What is the length of a single chain link in centimeters? Write your answer as a decimal.

Vera needs repairs on her car. The mechanic's estimate says that he will provide 7.3 hours of labor. His rate is $55 per hour. The total cost of the labor will be a. $165.00 b. $172.00 c. $385.00 d. $401.50

Forrest is purchasing a car priced at $7,299. His down payment is $299 and his monthly payments are $165 per month for 48 months. The deferred cost of the car is a. $7,000 b. $7,299 c. $7,920 d. $8,219

What is the radius of a hemisphere with a volume of 5320 in³, to the nearest tenth of an inch?

Geraldine opened a savings account with a principal amount of $100. The interest is 105 compounded quarterly. At the end of six months, the amount of money in her savings account will be a. $100.00 b. $102.50 c. $102.56 d. $105.06

Which of the following is a disadvantage to using tables? Check all that apply. A. Graphs are much easier to work with for all problems. B. They organize the data. C. It is often difficult to solve complicated problems with tables alone. D. They force you to do every problem twice, once with a table and once with an equation.

Lorenzo is planning a 285-mile trip. His car's EPA rating is 18 mpg. The number of gallons of gas that Lorenzo will need for the trip is about a. 15.8 gallons b. 18.0 gallons c. 26.7 gallons d. 28.5 gallons

How would you "remove the discontinuity" of f? In other words, how would you define f(3) in order to make f continuous at 3? f(x) =x²-x--6/x - 3 f(3) =

A new Youth Sports Center is being built in Hadleyville. The perimeter of the rectangular playing field is 320 yards. The length of the field is 8 yards less than double the width. What are the dimensions of the playing field?

Ellen is purchasing a used car. She is paying $89 down plus $128.57 per month for 36 months. The total amount paid for the car financed in this manner is a. $1,424.54 b. $4,628.52 c. $4,717.52 d. $7,832.52

You roll a six-sided die and select a card from a standard deck of cards. Find the probability that you roll a number less than five on the die and select a face card from the deck of cards. Write your answer as a reduced fraction. (Use the / symbol to write your fraction, ex. 1/2.) Hint (they are independent events). P(A)*P(B) The probability is

Does the mean represent the center of the data? A. The mean represents the center. B. The mean does not represent the center because it is the largest data value. C. The mean does not represent the center because it is not a data value. D. The mean does not represent the center because it is the smallest data value.

(a) Find the five-number summary, and (b) draw a box-and-whisker plot of the data. 3 8 8 6 1 9 8 7 9 6 9 5 1 6 2 9 8 7 7 9 (a) Min = 1 (Simplify your answer.)

If 0= 135°, find the exact value of each expression below. (a) cos (-θ) = 1 (b)cos ²θ= (c) cos 2θ = .0

Solve the right triangle ABC, where C = 90°. a = 76.3 yd, b = 42.7 yd

Chin was shown the graph of a line that contained point (1, 7). He wrote f(x) = 4x + 3 to correctly represent the line. Which of these equations could represent the same line? y-7=3(x-1) y-1=3(x-7) y-7=4(x-1) y-1=4(x-7)