Basic Math question and answers for May 19, 2024
- Q 1.7.PS-16A company's stock began the day at $30.12 per share. That price drops by $1.59 each hour.a. What is the price per share after 4 hours?b. What will it be...
- Q Solve the system of equations by graphing:y = 2x8Y=2-6First graph each line, then place a dot indicating the solution to the system.
- Q Match each exercise with the first step needed to perform the operation. Do not actually perform the operation.x+1 X-1XXChoose the correct answer below.*****OA. Multiply the numerators and multiply the denominators.B....
- Q Given sets X, Y, Z, and U, find the set Xn(X-Y) using the listing method.X={e, b, g, a)Y-{e, d, b)Z-{d, b, f, g, c)U-(a, b, c, d, e, f, gXn(X-Y)={(Use...
- Q The function V(r) = ?r can be used to find the volume of air inside a basketball given its radius. What does V(r)represent?O the radius of the basketball when the...
- Q Find the equation of the line perpendicular to the given line and passing through the given point.y=-4x+2; (-1,4)Enter the correct equation in the box.
- Q Explain how a cardinal number formula can be derived for the case where three sets occur. Specifically, give a formula relating n(A UBUC) to n(A), n(B), n(C),n(An B), n(An C),...
- Q Question 6 of 10Which statement is an inference about The Odyssey?A. The Cyclops reflects negative cultural values of ancient Greece.B. Odysseus escapes the Cyclops through trickery.C. The Odyssey is an...
- Q A radioactive substance has a decay rate of 0.073 per minute. How many grams of a 120 gram sample will remain radioactive after 30 minutes? Round the answer to the...
- Q A chemist is estimating the volume of a solution in a test tube. The actual volume of the solution is 27.2 ml.The chemist's estimate is 30 ml.Find the absolute error...
- Q Match each equation on the left with its solution on the right. No answer on the right will be used twice.3x + 2(x-4)= 4(x - 1) + xx = 24x...
- Q =(1 point) Solve for all solutions to the trigonometric equation 1 - sin (0) - 3 cos (0) = = -0.7 on the interval [0, 2?]. Find exact answers ifpossible,...
- Q 13.DETAILSLARMPMT1 16.2.018.MY NOTESYou roll a pair of six-sided number cubes, numbered 1 through 6. What is the probability of rolling two odd numbers? (Enter your probability as a fraction.)Need Help?...
- Q 0Finish solving the triangle:A.ZA= 64ZB= 55LC=bdegreesa =b=C=7CEnter your answer as a decimal value. You must be accurate to at least 3 decimal places.. Note that for these problems, we are...
- Q 4) In the early spring, the trout at Big Blue Lake swim at a depth of 30 feet below sea level.When the lake warms up in the summer, the trout...
- Q Match the given exercise with the first step needed to perform the operation. Do not actually perform the operation.2/a * 3/(a+6)Choose the correct answer below.***..OA. Multiply the first rational expression...
- Q (a) Find the values of the constants m and n for which the equation(xy + x)dx + (xy + y)dy = 0is exact. Hence solve the equation using the values...
- Q A vector with magnitude 6 points in a direction 295 degrees counterclockwise from the positive x axis.Write the vector in component form.Vector =Give each value accurate to at least 1...
- Q Ian's investment in his savings account matured to $5,510.89 at the end of 135 days. Ifthe account was earning simple interest at a rate of 1.50% p.a., answer the following.a....
- Q Identify the values for which the given rational expression is undefined.s+4952-49The values for which the rational expression is undefined are s =(Use a comma to separate answers as needed.)
- Q If an object is projected upward with an initial velocity of 127 ft per sec, its height h after t seconds is h=-1612 + 127t. Find the height of the...
- Q Simplify the expression.x+1x - 6x - 7Select the correct choice below and fill in any answer boxes in your choice.x + 1x - 6x - 7OB. The expression cannot be...
- Q This, and Esther) form a club, N={A, B, C, D, E). Callie and Esther are women, and the others are men. If they choose a secretary randomly, firthe odds against...
- Q A parabola is the set of all points P in the plane that are equidistant from a fixed line called theA parabola is the set of all points P in...
- Q 8. Louis wants to take out a $14,000 loan with a 6.8% APR. He can afford to payno more than $400 per month for loan payments. What would be the...
- Q As Jupiter revolves around the sun, it travels at a speed of approximately 8 miles per second. Convert thisspeed to kilometers per second. At this speed, how many kilometers will...
- Q ASK YOUR TEACHERScholarship A is worth $1000 and costs $10 to apply. Scholarship B is worth $5000 and costs $25 to apply. You have a 5% chance of receiving Scholarship...
- Q The sides of AABC are a, b, and c. If the lengths of a = 7 and b= 10, what are thepossible lengths of c?A) 3 < c < 10B)...
- Q Ashley made $25,000 in taxable income last year.Suppose the income tax rate is 10% for the first $8000 plus 16% for the amount over $8000.How much must Ashley pay in...
- Q A car was valued at $26,000 in the year 1994. The value depreciated to $14,000 by the year 2008.A) What was the annual rate of change between 1994 and 2008?TRRound...
- Q A total of 120 high school students were surveyed about their winter break shopping habits. The results revealed that 45% shop for new clothes, 55% shop for schoolsupplies, and 35%...
- Q How long will it take for an investment of $1000 to double in value if the interest rate is 8.5% per year, compounded continuously? (Round your answer to two decimal...
- Q Simplify.Do not use a calculator or round to a decimal. Write the exact simplified form, such as 3+?2/718+ ?45-18-3?53X
- Q In 2012, the population of a city was 5.38 million. The exponential growth rate was 2.95% per year.a) Find the exponential growth function.b) Estimate the population of the city in...
- Q Heather participating in a 5-day crosscountry biking challenge.she biked for53,68,64, and 65 miles on the four days.How many miles does she need to bike onthe last day so that her...
- Q A bass guitarist worked on 14 music projects last year. He wrote and produced 5 projects. He wrote a total of 8 projects. He produced a total of 11 projects....
- Q Solve for all solutions to the trigonometric equation 5 sin (?/3-1) = -1/5 on the interval [-?, 5]. Find exact answers if possible, and enter your answer as a comma...
- Q Whooping cough vaccine: Some parents fear that vaccinations may have adverse long-term effects on their children's health. In 2009 the Journal of the American Academy of Pediatrics published research on...
- Q How many three-digit numbers can be formed under each condition?(a) None of the digits can be 8.(b) The leading digit is one of the digits 0 through 6.
- Q A car insurance company charges insurance premium in proportion to the car's value. For a $12,000 car, the monthly premium is $85. Laney pays a $120 monthly premium for her...
- Q Consider the expression ?640, which simplifies to an expression in the form A?B. Simplify thisexpression completely and place the appropriate numbers in the boxes given.
- Q At the gift shop, they sell small greeting cards and large greeting cards. The cost of asmall greeting card is $2.15 and the cost of a large greeting card is...
- Q Choose the best answer.The dimensions of your living room are 13 ft. by 16 ft. What is the area of this room in square meters?Conversion factors: 1 meter = 3.28...
- Q An investment banker deposited $50,000 in an account earning a nominal 6% per year compounded continuously. How much was in the account at the end of three years? Round the...
- Q Use a standard normal distribution table to find the percent of the total area under the standard normal curve between the following z-scores.z = 0.55 and z=1.5Click the icon to...
- Q In an orchestra, 25 people can play stringed instruments, 21 can play brass, and 12 can play percussion. Further, 9 of the performers can play both strings and brass,whereas 4...
- Q Which of the following correctly expresses the exponential model f(x) = 7(4)x with the base e?Select the correct answer below:f(z)=4eln(7)f(x) = 7e4xf(x) = 4e7xf(x) = 7eln(4)xf(x) = 4e7ln(x)f(z) = 7e4h(z)
- Q A pool measuring 8 meters by 20 meters is surrounded by a path of uniform width, as shown in the figure. If the area of the pool and the path...
- Q A team of Calculus teachers is analyzing student scores on a final exam compared to the midterm scores. One teacher proposes that they already have everyteacher's class averages and they...
- Q Notice how the semicolons help the writer to separate different parts of a sentence that also includes commas.Directions: Determine whether or not the following sentences are grammatically correct.SentenceOver the summer...
- Q Each course at Mt. Regis College is worth either 3 or 4 credits. Themembers of the men's soccer team are taking a total of 48 courses thatare worth a total...
- Q The selling price of a car is $18,000. Each year, it loses 15% of its value.Find the exponential function that gives the value of the car t years after its...
- Q Acidity is measured on the pH scale. The acidity of a substance is given by pH = -log H, where H is the concentration of Hydrogen ions.If a substance has...
- Q In 2011 the U.S. Department of Transportation reported with 95% confidence that the averagelength of a motor vehicle trip in the United States was 9.72 miles with a margin or...
- Q An accountant for a corporation forgot to pay the firm's income tax of $725,835.68 on time. The government charged a penalty of 8.4% interest for the 49 days the money...
- Q If two lines are parallel, the alternate interior angles are congruent. Choose the equivalent statement. A. If alternate interior angles are congruent, the lines are parallel. B. If alternate interior...
- Q Which of the following statements is not a true statement? A. The legs of a triangle are the sides adjacent to the right angle. B. The hypotenuse is directly across...
- Q Barbara picked 36 apples. She needs to put of the apples in a basket. Barbara says she will put 12 apples in the basket. Is Barbara correct? Explain.
- Q Using the Law of Sines to solve the triangle if ?A = 40, ?C = 68, b = 25:
- Q Simplify the expression.z+zx + 3z + 3x / z+ 3
- Q Give the equation of the line with a slope of -1/7 and a y-intercept of - 2.
- Q A certain virus infects one in every 400 people. A test used to detect the virus in a person is positive 85% of the time if the person has the...
- Q The Foster family and the Robinson family each used their sprinklers last summer. The water output rate for the Foster family's sprinkler was 25 L per hour. The water output...
- Q A tinsmith wants to make a small windowsill planter from a 60 cm x 18 cm sheet of copper. She'll form it by cutting equally sized squares from each of...
- Q Karla invests $10,000 into an account with a 2.2% interest that is compounded annually.How much money will she have in this account if she keeps it for 5 years? Round...
- Q Simplify the following rational expression and name the restrictions on the variable, if any: x^2 - 8x + 12 / x^2 - 3x - 18x-2/x+3, x ? 3, 6x+2/x-3, x...
- Q Janet's car will go 279 miles on 15.5 gallons of gasoline in highway driving.a) How many gallons will it take to drive 1965 miles from her house to a friend's...
- Q Chemicals in butter-flavoring: Workers in a microwave popcorn production plant in Missouri breathe chemicals that are part of the butter-flavoring. Are these workers at greater risk of developing lung problems?...
- Q The angle of elevation of the sun is 26 from the ground. A business building downtown is 43 m tall. How long is the shadow cast by the building? Round...
- Q A retired potter can produce china pitchers at a cost of $7 each. She estimates her price function to be p = 17-0.5x, where p is the price at which...
- Q Traffic Safety: Here is a passage from a study published by the National Highway Traffic Safety Administration in 2007."The National Occupant Protection Use Survey (NOPUS) is the only probability-based survey...
- Q Using Descartes' Rule of Signs, which are possible combinations of zeros for g(x) = 7x4 - 5x - 1x - 2x - 3?Select all that apply:1 positive, 3 negative, 0...
- Q Find the derivative of the function. (Simplify your answer completely. Factor, if possible.)g(t) = e^-t / 2t^2g' (t) =
- Q a varies directly as b and inversely as the square of c. If a = 186 when b = 4 and c = 9, find a if b = 5...
- Q You are creating an animation in which the characters in one frame of the animation will be standing on the circle. Characters A and B will be on opposite side...
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