Basic Math question and answers for June 05, 2024
- Q Express the set in the simplest interval form.(-?, -5]?[-7,?)Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. The set in simplest interval...
- Q Multiply the polynomials using the FOIL method. Express your answer as a single polynomial in standard form.(2x+6)(x+6)
- Q Point P has coordinates (-2.5, 3). Point Q is a reflection of point P across thex-axis. What are the coordinates of point Q? Which quadrant is it in? Draw agraph...
- Q The length of a rectangle is 3 yd more than twice the width x. The area is 377 yd.(a) Write an equation in terms of x that represents the given...
- Q An object thrown directly upward is at a height of s= - 16t +96t +288 feet after t seconds.(a) What is its initial velocity?(b) When does it reach its maximum...
- Q Fernando invested money in a 3-yr CD (certificate of deposit) that returned the equivalent of 4.1% simple interest. He invested $2000 less in a 30-month CD that had a 2%...
- Q I am going to invest my money into two different accounts. The first account gives 4% interest. The second account gives 8% interest. I have $100,000 to invest. After 1...
- Q Solve the equation.1/3-2/3c=4/cThe solution set is all real numbers.The solution set is the empty set, {}.The solution set is a finite set.The solution set is
- Q Use the Pythagorean Theorem and the square root property to solve the following problem. Express your answer in simplified radical form. Then find a decimal approximation to the nearest tenth....
- Q The density of quartz is 2.65 grams per cubic centimeter. If you find a piece of quartz that measures 60 cubic centimeters, how many grams of quartz did you find?159...
- Q Suppose a survey of 1000 students is obtained from a college whose population is 10,000 students. The sample wasobtained by selecting at random from the population without replacement, meaning that...
- Q One safe investment pays 8% per year, and a more risky investment pays 14% per year.a. How much must be invested in each account if an investor of $94,000 would...
- Q A beverage company is creating a can to hold 25 cubic inches of diet cola. What is theradius of the can that will use the minimum amount of material?radius 1.6...
- Q Jotham needs 24 liters of a 60% alcohol solution. He has a 10% and a 90% solution available.How many liters of the 10% and how many liters of the 90%...
- Q Factor the polynomial by removing the common monomial factor.x6 + x5 +XSelect the correct choice below and, if necessary, fill in the answer box within your choice.A. x6 +x+x=B. The...
- Q The gravitational force, F. between an object and the Earth is inversely proportional to the square of the distance from the object to the center of the Earth. If an...
- Q Ivan needs to have a toilet repaired in his house. The cost of the new plumbing fixtures is $140 and the labor is $50/hr.(a) Write a model that represents the...
- Q Miguel has two pet reptiles, Gregorythe Gecko and Sammy the Snake.Gregory's tail is two-thirds the lengthof the rest of his body. Altogether,Gregory is 10 inches long. How longare his body...
- Q Use a tape diagram to model each problem. Solve using a simplifying strategy or an algorithm, and write your answer as a statement. Sammy's bucket holds 2,530 milliliters of water....
- Q Determine the exact value(s) for which the rational expression f(x) than one value, list them separated by a comma, e.g. x = 2,3.
- Q An amusement park operator is determining the density of people in the Water Parksection of its park. They know that there are 5,000 people in the Water Park at noonand...
- Q A snow cone is 5 inches tall with a 3 inch diameter opening. A scoop of shaved ice isapproximately a 2 inch diameter sphere. What is the maximum number of...
- Q An object thrown directly upward is at a height of s= -16t + 128t+256 feet after t seconds.(a) What is its initial velocity?(b) When does it reach its maximum height?(c)...
- Q Solve by completing the square and applying the square root property. Express the solution set in exact simplest form.Since the variable terms are already isolated on one side of the...
- Q Solve the inequality. Graph the solution set, and write the solution set in set-builder notation and interval notation. Write numbers as simplified fractions or integers.
- Q Solve by using the quadratic formula. Express the solution set in exact simplest form.x-7x-3=0
- Q Find the quotient and the remainder. Check your work by verifying that (Quotient) (Divisor) + Remainder = Dividend.
- Q Peanut allergies are becoming increasingly common in Western countries. Some evidence points to the timing of peanuts' firstintroduction in the diet as an influential factor, raising the question of whether...
- Q Cole has a cylinder that fits within a cube. The height and diameter of the cylinder are each equal to x. Each side of the cube is also equal to...
- Q For the following compound inequality, give the solution set in both interval and graph form.x+4> 12 or - 2x+325Select the correct choice below and, if necessary, fill in the answer...
- Q Chet needs to buy 4work shirts, all costing the same amount. After he uses a $25 gift certificate, he can spend no more than $75. Write an inequality to find...
- Q Identify the critical points. Then use (a) the First Derivative Test and (if possible) (b) the Second Derivative Test to decide which of the critical points give a local maximum...
- Q There was 1/2 yd of purple and pink striped fabric. Jessie said she could only make 1/24 of a purse using that fabric as the trim. Is she correct? Use...
- Q For the compound inequality, give the solution set in both interval and graph form.5x-8-33 or 3x+1?19Select the correct choice below and, if necessary, fill in the answer box to complete...
- Q Approximate the given number (a) rounded and (b) truncated to three decimal places.68.1688(a) The given number rounded to three decimal places is(b) The given number truncated to three decimal places...
- Q Solve the inequality algebraically. Express your answer using set notation or interval notation. Graph the solution set. Verify your results using a graphing utility.-6?10-4x?7Select the correct choice below and, if...
- Q Evaluate the function f(x) = 5x-4 at the given values of the independent variable and simplify.a. f(8)b. f(x+5)c. f(-x)
- Q Let f be continuous on the closed interval [a, b] and differentiable on the open interval (a, b). If f(a) = f(b),then there is at least one number c in...
- Q Haley is responsible for buying a week's supply of food and medication for the pigs and cows at a local co-op. The food and medi each cow costs four times...
- Q Find the perimeter of the parallelogram with these vertices.(4, 3), (-2, 3), (2,-2), (-4,-2)Give an exact answer (not a decimal approximation).Simplify your answer as much as possible.
- Q Express the set in the simplest interval form.Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. The set in simplest interval form...
- Q Rewrite the equation 12x-3y-9-0 in slope-intercept form.b. Give the slope and y-intercept.c. Use the slope and y-intercept to graph the linear function.a. The slope-intercept form of the equation is
- Q Solve the compound inequality. Give the solution set in both interval and graph forms.x<-3 and x>-8Select the correct choice below and, if necessary, fill in the answer box to complete...
- Q Use graphs to find the set.(-6,6) n[-1,8]Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. The set isB. The set is the...
- Q If we are classifying psychiatric patients as having one or another of five different psychological disorders - major depressive disorder, bipolar disorder, generalized anxiety disorder, obsessive compulsive disorder, and phobic...
- Q Erica claims if a cylinder has an equal radius and height, and its surface area it 64? square inches, what is its volume?128?32?64?48?
- Q Rate is inversely proportional to time or a given distance. Samantha drives to work averaging 30 mph for (on way hour. On the way back she travels the same way...
- Q Complete the sentence below.In the expression 35, the number 3 is called the and 5 is called theIn the expression 35, the number 3 is called the and 5 is...
- Q Write the following decimals in expanded notation.Write 1.368 in expanded notation.Write 4.092 in expanded notation.Write 21.98 in expanded notation.Write 90.45 in expanded notation.Write 0.379 in expanded notation.
- Q Sean is shipping a box in the shape of a rectangular prism to his brother at college. Thebox will need to hold 465 cubic inches. The dimensions of the box...
- Q Solve the following inequality algebraically. Express your answer using set notation or interval notation. Graph the solution set. Verify your results using a graphing utility.5x-9=11Express the solution in interval notation....
- Q A company designs a model pyramid with a square base that has side lengths equal to5 inches and a height of 10 inches. To save costs in production, the lengths...
- Q Statins are used to keep cholesterol in check and are a top-selling drug in the U.S. The equation:S - 1.7x = 5gives the amount of sales (S) of statin in...
- Q Sam wants to build a toy box in the shape of a rectangular prism that will hold 36 cubic feet. If the height needs to be 1 foot less than...
- Q Find the average rate of change of g(x) = 4x + 2 from x =- 4 to x = 3.
- Q A company wants to sell spherical piatas and will use 3,000 square inches of material for each one. What will be the volume of each piata in cubic inches? (Use...
- Q To calculate simple average, add all your scores and the sum by the number of exams.Your scores are 82, 75, 85 and 93 out of 100 maximum score.1. What is...
- Q The volume of a prism is given by the formula V = lwh, where I is the length, w is the width, and his the height of the pla. Solve...
- Q Tell whether the lines are parallel, perpendicular, or neither.Line 1: (4,1) and (3,5)Line 2: (8,6) and (4, 5)Line 1: (-4,-5) and (9,3)Line 2: (3,5) and (-1,2)
- Q How many terms are in this expression?-x + 2x - 3x + 54A.1B. 2C. 3D. 4
- Q During a 6-hour period, the air temperature at the zoo dropped by 48F. If the temperature dropped at a steady rate, how much did the air temperature drop each hour?-6F-12F-48F-8F
- Q Suppose you took 17 credit-hours this past semester, your third semester in college. Youearned an A- in psychology (3 hours), a C+ in economics (3 hours), a B+ in chemistry(4...
- Q What is the solution set? Select the correct choice below and, if necessary, fill in the answer box within your choice.A. The solution set is(Type an integer or a simplified...
- Q Solve the following system of equations using ELIMINATION.2x + 2y = 343x - 4y = -89Solution:x =y =
- Q For the demand equation, express the total revenue R as a function of the price p per item.9 = -4p + 80
- Q For f(x) as given, write the domain of f.f(x)=x +4/3x - 15
- Q Jacob went bowling over the weekend. On Saturday, he bowled at Bowlero, where herented shoes for $3.25 and paid $3.75 for each game. On Sunday, he bowled at theCowtown Bowling...
- Q Nathan has 102 solid-colored.disks that are red,blue, and green. He lines them up on the floorand finds that there are 3 more red disks than blueand 6 more blue disks...
- Q In a game, Theodore received a handful of coins(pennies, nickels, dimes, and quarters) as a prize.When he got home, he found that he had managedto get $2.09 in change. He...
- Q Find the absolute extrema of the function (if any exist) on each interval. (If an answer does not exist, enter DNE.)f(x) = 3x - 6(a) [0, 3]minimum (x,y)=maximum (x,y)=(b) [0,...
- Q After a 25% reduction, you purchase a new television for $198.75. What was the price of thetelevision before the reduction?A) First write an equation you can use to answer this...
- Q Marco bought pens and pencils with his company'sname and website address to give away to peopleat a festival. He bought a total of 300 pens andpencils together and spent $62.50....
- Q Select the correct answer from the drop-down menu.The two diagonals of an inscribed quadrilateral meet at the center of a circle.The quadrilateral must be asquarerectanglerhombustrapezoid
- Q Use only the commutative property of multiplication to rewrite the expression - 12(-15) andthen simplify.(Hint: You may use either parentheses or an * to indicate multiplication. For example, multiplying 5and...
- Q High levels of cholesterol in the blood increase the risk of heart disease. For 14-year-old boys,the distribution of blood cholesterol is approximately Normal with mean mu = 170 milligramsof cholesterol...
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