Basic Math Questions and Answers

A calculator showed the answer to a multiplication problem as 2.8e-4. Which expression is equivalent to 2.8e-4?

Mrs. Harris took 6 oranges out of the refrigerator and cut them into wedges. Each wedge represents of the entire orange. Her children ate 3 of the 4 wedges. How many wedges are left? Justify your answer. 6.NS.1

If 4000 dollars is invested in a bank account at an interest rate of 4 per cent per year, Find the amount in the bank after 12 years if interest is compounded annually: Find the amount in the bank after 12 years if interest is compounded quarterly: Find the amount in the bank after 12 years if interest is compounded monthly: Finally, find the amount in the bank after 12 years if interest is compounded continuously:

Every day that Parker doesn't play his video game "Clash of Clowns", he loses 2,000 points. He is going on a cruise for 5 days and will not have an internet connection to play the game. What will be the change in his amount of points while he is on the cruise?

Data indicates the number of global malaria cases has risen sharply since the year 2000. The equation y = 5.5x +49 approximates the number of global malaria cases y (in millions), where x = 0 corresponds to the year 2000. Assume the model remains accurate, and find the first full year in which the number of global malaria cases per year achieves 140 million. What does the value 140 represent in the given equation? A. The y-intercept B. The variable y C. The slope D. The variable x The first full year in which the number of global malaria cases per year achieves 140 million is

Hong had 7 of a spool of yarn. He used 8 Write your answer in simplest form. 3 of his yarn for a project. What fraction of the spool was used for the project? 4

Mr. Smith gave the cashier a $50 bill for a purchase of $38.70. The cashier gave him a $10 bill, two $1 bills, and three dimes back. Did Mr. Smith get the correct change back? Why or why not?

The Justinian Code is considered a milestone because it preserved many ancient Chinese legal decrees in writing served as a model for European legal systems became the first democratic constitution united Muslim and Roman thought

Cece Coakley has a Full Publishing Agreement with MOB Music who has paid her a $50,000 advance. Her songs have been streamed 20,000,000 times. The MLC pays MOB Music for those streams according to the current formula at $.001 per stream. How much will MOB Music pay to Cece, if anything? How much is remaining to be recouped, if anything?

Select the negation for each of the following statements. The sun is shining or it is raining. The sun is shining and it is not raining. The sun is not shining or it is raining. The sun is not shining and it is not raining. The sun is shining or it is not raining. The sun is not shining and it is raining. None of these. I am taking Humanities and I am taking History. I am not taking Humanities or I am not taking History. I am not taking Humanities and I am not taking History. I am taking Humanities or I am not taking History. I am not taking Humanities or I am taking History. I am not taking Humanities and I am taking History. None of these.

Determine if the following statements are true or false. Every integer is a real number. All real numbers are whole numbers. No irrational numbers are also real numbers. Every integer is also a rational number. All whole numbers are integers but not all integers are whole numbers.

Determine whether the value given below is from a discrete or continuous data set. When a car is randomly selected and weighed, it is found to weigh 1930.1 kg. Choose the correct answer below. A. A discrete data set because there are infinitely many possible values and those values can be counted B. The data set is neither continuous nor discrete. C. A continuous data set because there are infinitely many possible values and those values cannot be counted D. A discrete data set because there are a finite number of possible values

Under selected conditions, a sports car gets 14 mpg in city driving and 19 mpg for highway driving. The model G = 4+1h represents the amount of gasoline used (in gal) for c miles driven in the city and h miles driven on the highway. Determine the amount of gas required to drive 98 mi in the city and 399 mi on the highway. Select one: Ⓒa. 34 gal b. 33 gal Ⓒc. 28 gal d. 37 gal

Convert the equation to intercept form: f (x) = (x + 1)² - 25 A) f(x) = (x + 2) (x − 6) B f(x) = (x - 2) (x + 6) C f(x) = (x-4) (x + 6) D) f(x) = (x) (x - 24)

Through (-7,-11) and (-1,1) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The slope is (Type an integer or a simplified fraction.) B. The slope is undefined.

For f(x) = 5x + 5 and g(x)=x², find the following composite functions and state the domain of each. (a) fog (b) gof (c) fof (d) gog (a) (fog)(x) = (Simplify your answer.) Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The domain of f og is (Type an inequality. Use integers or fractions for any numbers in the expression. Use a com B. The domain of f o g is all real numbers. (b) (gof)(x) = (Simplify your answer.)

Thirty-one regions in a nation contain casinos. Assume the nation has 50 regions. (a) What fraction of the regions contain casinos? (b) How many regions do not contain casinos? (c) What fraction of the regions do not contain casinos? a. What fraction of the regions contain casinos?

Jose is working two summer jobs, making $10 per hour washing cars and $9 per hour walking dogs. Last week Jose worked a total of 13 hours and earned a total of $122. Write a system of equations that could be used to determine the number of hours Jose worked washing cars last week and the number of hours he worked walking dogs last week. Define the variables that you use to write the system.

Find the slope of the line that passes through (-6, -3) and (-5, 3). Write your answer in simplest form.

The average staircase has steps with a width that is 6 cm more than the height and a diagonal that is 12 cm more than the height. What is the height of the average step? a. Write a sentence explaining what you're asked to find. b. Briefly write what range of values you would expect for a reasonable solution. Also indicate the units of measure for your solution. c. Define all unknowns in terms of a single variable. (Let x = ...) Include an appropriate sketch, labeling what each unknown represents. What formula might you use? d. Using the sketch and your formula, write an equation representing this scenario. Then solve the equation. e. Write a sentence explaining your solution using the appropriate units of measurement.

Verify that the equation is an identity. tan^4 x-sec^4 x=1-2 sec ²x To verify the identity, start with the more complicated side and transform it to look like the other side. Choose the correct transformations and transform the expression at each step.

You are having a staring contest with your cat. You are looking down at the cat at 37° while standing 7 feet away from it. Your cat's eye line is 1 foot off the ground. How tall are you? Round to one decimal place.

Nathaniel is going to see a movie and is taking his 2 kids. Each movie ticket costs $12 and there are an assortment of snacks available to purchase for $3.50 each. How much total money would Nathaniel have to pay for his family if he were to buy 3 snacks for everybody to share? How much would Nathaniel have to pay if he bought x snacks for everybody to share? Total cost with 3 snacks: Total cost with a snacks:

Rewrite 25 1 2 25 = II H 11/3 2 with a positive exponent, then simplify.

Jared has $700 in a savings account that earns 6% interest per year. The interest is not compounded. How much interest will he earn in 4 years?

A small business employs 98 people. All of the employees work for 8 hours a day, 5 days a week. Eleven of the employees receive a wage of $45 an hour and the rest receive $30 an hour. In total, how much does the business pay its employees each week?

The regular price of a color TV is $530.66. During a sale, Hill TV is selling the TV for $441.38. Determine the percent decrease in the price of the TV. The percent decrease is % %. (Type an integer or decimal rounded to the nearest tenth as needed.)

Jalen has a scale model of a train. 2 centimeters in the model represents 3 feet in a real train. On the scale model, the wheels of Jalen's train are 3.5 centimeters apart. There are some old railroad tracks in Wyoming that are 4.5 feet apart. Would the real train be able travel on those tracks? Yes No

The distance from Saturn to Jupiter is 6.52 x 108 kilometers. How long would it take a rocket, traveling at 4.1 x 104 kilometers per hour to travel from Saturn to Jupiter? Round your answer to the nearest whole number of hours.

Approximate each number using a calculator. (a) 63.14 (b) 63.141 (a) 63.14 (c) 63.1415 (Round to three decimal places as needed.) (d) 6

Determine the simple interest. The rate is an annual rate. Assume 360 days in a year. p=$470, r= 2.75%, t = 1.25 years The simple interest is $.

Suppose an internet marketing company wants to determine the current percentage of customers who click on ads on their smartphones. How many customers should the company survey in order to be 90% confident that the estimated proportion is within five percentage points of the true population proportion of customers who click on ads on their smartphones?

Elisa needs money to repair her home air conditioner, so she pawns her bicycle. The pawnbroker loans Elisa $270. Twelve days later, Elisa gets her bicycle back by paying the pawnbroker $291.60. What annual simple interest rate did the pawnbroker charge Elisa? Assume 360 days in a year. The pawnbroker charged Elisa a simple interest rate of % (Round to the nearest whole number as needed.)

The center of a circle is at (-3, 1) and its radius is 9. What is the equation of the circle? (x + 3)² + (y - 1)² = 81 (x+3)² + (y − 1)² = 18 (x − 3)² + (y + 1)² = 18 (x − 3)² + (y + 1)² = 81

In a mathematics class, 28 students received an A on the third test, which is 175% of the students who received an A on the second test. How many students received an A on the second test? On the second test, students received an A. ……….

Devon takes out a loan of $1,500, at 4% simple interest, for 59 months. What is the maturity value of the loan? (Round to the nearest cent.) 2 O $1,426.63 $1,567.50 $1,831.88 O $2,208.00

Use the compound interest formulas A = P1+ = P(₁+1) Find the accumulated value of an investment of $10,000 for 6 years at an interest rate of 4.5% if the money is a. compounded semiannually; b. compounded quarterly; c. compounded monthly; d. compounded continuously. nt rt and A=Pe to solve the problem given. Round answers to the nearest cent. .…...

Use De Morgan's Laws to write the negation of the following statement: "Either the Packers or the Broncos will win the Super Bowl." O The Packers will not win the Super Bowl, and the Broncos will win the Super Bowl. O Either the Broncos will win the Super Bowl, or the Packers will not win the Super Bowl. O Either the Packers will not win the Super Bowl, or the Broncos will not win the Super Bowl. O Either the Packers will win the Super Bowl, or the Broncos will not win the Super Bowl. O The Packers will not win the Super Bowl, and the Broncos will not win the Super Bowl.

In the diagram below, the vertices of ADEF are the midpoints of the sides of the equilateral triangle ABC, and the perimeter of AABC is 36 cm. What is the length, in centimeters, of EF? 1) 6 2) 12 3) 18 4) 4

Write an equation that represents the relationship between the number of T-shirts ordered, the number of colors on the shirts, and the total cost of the order. If you use a variable, specify what it represents.

A projectile is released from (0,0) with an initial speed of 50 m/s at an elevation angle of 60 degrees. Assume, for ease of calculation, that the acceleration due to gravity is 10 m/s². (a). Find the position and velocity functions of the projectile. (b). At what times is the projectile at a height three quarters of its maximum height?

Error Analysis Your friend says that the surface area of the prism is 198 square units. Use a net to find the correct surface area. What mistake might your friend have made? The surface area of the prism is square units. 16 5 3 (The figure is not to scale.)

Find the value of k such that (x + 2) is a factor of Justify your choice for k by showing all of your work. Answer in paper f(x) = x³ + 5x² + 3x + 7k Previous Page Next Page

Determine the simple interest. (Assume 360 days in a year.) p= $658, r=0.046% per day, t = 3 months The simple interest on $658 at 0.046% per day for 3 months is $

The approximate areas of Utah and Puerto Rico are listed below: Utah: 2.2 x 105 square kilometers Puerto Rico: 5.33 × 103 square kilometers What's the difference between the areas of the two states? Express your answer using scientific notation. Answer: ×10 square kilometers Submit Answer

Perimeter of a Plot of Land The perimeter of a triangular plot of land is 2400 ft. The longest side is 200 ft less than twice the shortest. The middle side is 200 ft less than the longest side. Find the lengths of the three sides of the triangular plot.

A vacuum cleaner dealership sold 460 units in 2011 and 429 units in 2012. Find the percent increase or decrease in the number of units sold. The number of units sold by about%. (Round to one decimal place as needed.)

Suppose that you invest $5,000 at 6% interest, compound quarterly, for 5 years. use Table 11-1 to calculate the compound interest (in $) on your investment.

Verify that the equation is an identity. csc ß cot ß =sec ß ** To verify the identity, start with the more complicated side and transform it to look like the other side. Choose the correct transformations and transform the expression at each step. csc ß cot B

LM has the endpoints L at -5 and M at 9. To find the point x so that x divides the directed line segment LM in a 2:3 ratio, use the formula x = [(x₂-x₁) + x₁. (9-(-5)) + (-5) X= X= a +