Basic Math question and answers for July 17, 2024
- Q Determine whether the given partial fraction decomposition is set up correctly. If the setup is incorrect, make the necessary changes to produce the correct decomposition.5x A B C(x+8)(x-3) (x+8) (x-3)...
- Q Which kind of symmetry does the letter D have?A. line symmetry, onlyB. neither point nor line symmetryC. both point and line symmetryD. point symmetry, only
- Q A telephone pole casts a shadow that is 34 m long. Find the height of the telephone pole if a state that is 36 cm tall casts a shadow 77...
- Q The count in a bateria culture was 200 after 10 minutes and 1000 after 35 minutes. Assuming the count grows exponentially,What was the initial size of the culture?Find the doubling...
- Q The local weather forecast has been accurate for 22 of the past 32 days. Based on this fact, what is the relative frequency probability that the forecast for tomorrow will...
- Q If possible, solve the system of equations. Use any method. If there is not a unique solution to a system, say why.2x - 8y = 18x - 32y = 3Infinite...
- Q In an ad an item which retails for $400 is for sale stating "take an additional 20% off an already 30% discount" what is the sale price for this item?...
- Q The best description of a dilation of a figure is:A. a mirror image of the figureB. a slide of the figureC. an enlargement or a reduction of the figureD. a...
- Q What is the sum of the interior angles of a regular polygon with 12 sides?A. 1800B. 2160C. 1260D. 360
- Q Solve the system by the addition method.x+y = -6x-y = 4Select the correct choice below and fill in any answer boxes present in your choice.A. The solution set is. (Simplify...
- Q Find the factors of function f.f(x) = x4 - 5x3 - 4x + 20xBased on the factors, which statement is true about the graph of function f?A. The graph crosses...
- Q To buy a car, Jessica borrowed $15,000 for 3 years at an annual simple interest rate of 9%. How much interest will she pay if she pays the entire loan...
- Q The area of a rectangular wall in a classroom is 216 square feet. Its length is 3 feet shorter than three times its width. Find the length and width of...
- Q Write an equation of the line with the given slope and containing the given point. Write the equation in the form y=mx+ b.Slope -2 3; through (2, 3)y=2 3x +...
- Q One option in a roulette game is to bet $6 on red. (There are 18 red compartments, 18 black compartments, and two compartments that are neither red nor black.) If...
- Q The coordinates of ?ABC are A(12, 8), B(10, 18), C(4, 16). After a dilation, the coordinates are A'(6,4), B'(5,9), C'(2, 8). Find the scale factor.A. 3 2B. 5 2C. 1...
- Q Mike purchased 500 apples at the rate of $75 per hundred. 12% of them got damaged and cannot be sold. If he sold the remaining apples at $15 per dozen...
- Q When compared to the graph of y = log3 x, the graph ofy = 2 + log3 (x ? 1):has been translated horizontally 1 unit to the lefthas been horizontally...
- Q An architectural drawing lists the scale as 1/4" = 1'. If a bedroom measures 31 2" by 51 4" on the drawing, how large is the bedroom?A. 20 ft by...
- Q Choose the best answer. The diagonals of a rectangle:A. none of theseB. are double the shortest sideC. are the same lengthD. are the not same length
- Q Give the domain and range of the relation.{(5, -4), (1, -3), (1, 0), (10, 3), (26,5)}domain: {5, 10, 1, 26}; range: {-4, -3,0,3,5}domain: {5, 10, 1, 26}; range: {-4, -3,...
- Q Which geometric figure has 120 rotational symmetry?A. equilateral triangleB. squareC. regular pentagonD. rhombus
- Q Make a probability distribution for the given set of events.The sums that appear when two fair four-sided dice (tetrahedrons) with sides 3, 4, 5, and 6 are tossedComplete the probability...
- Q A car was valued at $33,000 in the year 1992. The value depreciated to $14,000 by the year 2001.A) What was the annual rate of change between 1992 and 2001?r...
- Q Solve 3sin(? 6x) = 2 for the four smallest positive solutionsx =Give your answers accurate to at least two decimal places, as a list separated by commas
- Q Perform the indicated operation and simplify.x 4-x2-16 x2+5x+4x2+3x+16(x-4)(x+4)(x+1)x2-3(x-4)(x+4)(x+1)x2-3x+16(x-4)(x+4)x2-3x+16(x-4)(x+4)(x+1)
- Q Eric has a treehouse 28ft above the ground. How long would it take a water balloon dropped from the treehouse to hit the ground if the path of the balloon...
- Q I bought my home in Clemmons for $250,000, and now it is worth $345,000. What is the percent increase?Type in the number: no decimals, no commas, no percent sign.
- Q Discuss the statement and tell what possible misuse or misinterpretation may exist.There are more empty spaces in the parking lot of a Mexican restaurant than at an Italian restaurant. Therefore,...
- Q Choose the best answer. The diagonals of a square bisect each other at angles.A. rightB. obtuseC. reflexD. acute
- Q At a hockey game, a vender sold a combined total of 132 sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold....
- Q Under which transformation can the image be a different size than the original figure?A. dilationB. rotationC. reflectionD. translation
- Q You can afford a $1250 per month mortgage payment. You've found a 30 year loan at 3.2% interest. How big of a loan can you afford?$199,102.51$189,153.49$289,039.49$255,456.51
- Q A parallelogram whose angles measure 90 is called:A. rectangleB. trapezoldC. kiteD. rhombus
- Q The area of a square is 81 cm If the same amount is added to one dimension and removed from the other, the resulting rectangle has an area 9 cm...
- Q Find the time it takes for $9,300 to double when invested at an annual interest rate of 9.4%, compounded continuously. Give your answer to 2 decimal places.yearsFind the time it...
- Q At the beginning of an experiment, a scientist has 184 grams of radioactive goo. After 60 minutes, her sample has decayed to 11.5 grams.What is the half-life of the goo...
- Q Which of the following statements is false?A. The parallel sides of an isosceles trapezold are congruent.B. The base angles of an isosceles trapezold are congruent.C. Opposite sides of a parallelogram...
- Q Which of the following statements is false?A. A rhombus is a parallelogram.B. A rhombus is a quadrilateral.C. A parallelogram is a rhombus.D. The diagonals of a rhombus are perpendicular and...
- Q Solve the system for x and y, expressing either value in terms of a, if necessary. Assume that a?0.6ax + 7y= 31ax+6y= 10Select the correct choice below and fill in...
- Q The cost C(in dollars) for a company to produce and sell x thousand gadgets is givenby the equation:C=1/40x-2x+1040(a) What is the company's start-up cost? (The start up costs is the...
- Q The perimeter of rectangle A is 10 cm and its area is 6 cm. The perimeter of rectangle B is 20 cm. What is the area of rectangle B assuming...
- Q Find the measure of one interior angle of a regular 12-gon.A. 128.6B. 147.3C. 150D. 135
- Q Simply -36x^8-20x^5+16x/4x-9x^445x+4-9x^6-5x+4-9x^6-5x + 16x-36x^4-5x5 +4
- Q A twin-engined aircraft can fly 960 miles from city A to city B in 3 hours with the wind and make the return trip in 8 hours against the wind....
- Q The exponential model A=617.2 e 0.008t describes the population, A, of a country in millions, t years after 2003. Use the model to determine the population of the country in...
- Q The cost, in dollars, to produce x vats of ice cream is C (x ) = 5x + 2. When sellingthem to ice cream shops, the price-demand function, in dollars...
- Q Use the discriminant to determine whether the equation has two rational solutions,one rational solution, two irrational solutions or two non-real solutionsx + 7x - 2 = 0a) Two rational solutionsb)...
- Q A radioactive substance decays exponentially. A scientist begins with 170 milligrams of a radioactive substance. After 19 hours, 85 mg of the substance remains. How many milligrams will remain after...
- Q Consider the following exam question and student solution. Determine whether the solution is correct. If it is not correct, write a note to the student explaining why it is wrong...
- Q Find the vertex and the factored form of f(x) = x + 2x - 8f(x) = (x-4) (x + 2) and vertex (-1,-9)f(x) = (x-4) (x + 2) and vertex...
- Q Which of the following is the variable being manipulated by the researcher in an experimental study?independent variablenone of these answer choicesdependent variablerandom variable
- Q You to the doctor and he gives you 13 milligrams of radioactive dye. After 24 minutes, 5.25 milligrams of dye remain in your system. To leave the doctor's office, you...
- Q Bashir correctly graphed the quadratic function y=-3x2 +5 Which of these is true about Bashir's graph?a) The graph is much wider than the original parent function y = xb) The...
- Q Find all possible rational zeros of -5x^5 + 3x^4-2x + 2x + 6x - 7.Use "+-" to represent symbol. Write integers first and rational values second (in simplified form). All...
- Q What is the measure of each interior angle of a regular nonagon?91260180140None of the other answers
- Q Give the names of two other statistics that have the same value as the 50th percentile.Choose the correct answer below.A. First quartile; midrangeB. Second quartile; meanC. Third quartile; modeD. Second...
- Q Solve: 4x + 12x + 9 = 0x = 6 or x = -6x = -1/3 or x = 1/3x = -3/2or x = 3/2x= - 3/2
- Q Find the vertex: f (x) = 2x + 4x - 5.(1,-5)(1, 1)(-1,5)(-1,-7)
- Q Select the axis of symmetry and the y-intercept of f (x) = 3x - 6x-2.(Choose 2)(0, 3)x = 1(0, -1)(0,-2)x = -2(1,-5)x=3(0, 1)x=6x=0x=2
- Q At the beginning of an experiment, a scientist has 372 grams of radioactive goo. After 75 minutes, her sample has decayed to 5.8125 grams.What is the half-life of the goo...
- Q A bacteria culture initially contains 1500 bacteria and doubles every half hour.Find the size of the baterial population after 100 minutes.Find the size of the baterial population after 5 hours.
- Q The small piston in a hydraulic system has an area of 5 in2 and the large piston has an area of 19.2 in2. Input force is 170 lb. What is...
- Q Simplify assume all variables are positive: ?72x2x?18x6x?2x36x ?2x6x??/2x
- Q The function below shows the cost of an ice cream sundae with different numbers of toppings (t). f(t) = 2.25 +0.751. What is the y-intercept, and what does it mean...
- Q Does correlation imply causation in the amount of hamburgers/chicken cooked on the grill and the amount of propane gas used on the grill?yesno
- Q The half-life of the radioactive element unobtanium-29 is 20 seconds. If 80 grams of unobtanium-29 are initially present, how many grams are present after 20 seconds? 40 seconds? 60 seconds?...
- Q A driver gear is turning at 310 rpm and has 191 teeth. If the driven gear needs to turn at 750 rpm, how many teeth should the driven gear have?83...
- Q The function below shows the cost of a hamburger with different numbers of toppings (t).f(t) = 1.90 +1.401. What is the y-intercept, and what does it mean in the context...
- Q A 55 gallon barrel of aviation gasoline weighs 383 lbs. You can only supply an effort force of 50 lb. What is the maximum height you can raise the barrel...
- Q The formula A=21.2e0.0406t models the population of a US state, A, in millions, t years after 2000.a. What was the population of the state in 2000?b. When will the population...
- Q Would you prefer to take a long difficult essay test or a quick easier multiple choice test? Is this question biased or unbiased?BiasedUnbiased
- Q The following pair of investment plans are identical except for a small difference in interest rates. Compute the balance in the accounts after 10 and 30 years. Discuss the difference.Chang...
- Q Factor: 10x2-x-2(2x - 1) (5x + 2)(2x + 1) (5x - 2)(2x - 1) (5x-2)(2x + 1) (5x + 2)
- Q John is twice as old as Mary. The sum of their ages is 21. How old is Mary?Let J = John's age and M = Mary's age. Select the system...
Get Answers to Unlimited Questions
Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!
Membership Benefits:
- Unlimited Question Access with detailed Answers
- Zin AI - 3 Million Words
- 10 Dall-E 3 Images
- 20 Plot Generations
- Conversation with Dialogue Memory
- No Ads, Ever!
- Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!