Algebra question and answers for January 07, 2024
- Q The admission fee at an amusement park is $3.50 for children and $9 for adults. On acertain day, 324 people entered the park, and the admission fees collected totaled$1904.How many...
- Q (1 point) If tan = 9/11, and if cos 0 <0, thensec 0 =cos 0 =sin =tan 0/2 =sin 20 =sin 0/2 =Note: The given information is for tan 0...
- Q The next model of a sports car will cost 4.2% less than the current model. The current model costs $45,000. How much will the price decrease in dollars?What will be...
- Q (5 points) An aggressive investment increases by 26% per year, compounded weekly (there are52 weeks in a year). You invest $100,000 to start. How long until you have $250,000? Pleaseround...
- Q You want to create a 98% confidence interval with an error of no more than 5%. You do not have a guess about thevalue of p-hat. How many people should...
- Q How many rows of A contain a pivot position? Does the equation Ax=b have a solution for each b in R4?A =1-2 -20-23 -7114- 25 - 1001 - 62How many...
- Q If the inequality contains "s" or ">" symbol, then graph the equation using adottedOsolidO dashedline.
- Q A company manufactures and sells shirts. The daily profit the company makesdepends on how many shirts they sell. The profit, in dollars, when the company sellsI shirts can be found...
- Q A book store sells a textbook for $150. If the textbook is on sale with 12% off, and there is a sales tax of8.25% added to the price of the...
- Q Jessica deposits $50,000 into an account that pays 3% interest per year, compounded annually.Tom deposits $50,000 into an account that also pays 3% per year. But it is simple interest.Find...
- Q During 1 week an overnight delivery company found that the weights of its parcels were normally distributed, with a mean of 20 ounces and a standard deviation of 5 ounces....
- Q Which graph shows the most accurate line of best fit on the scatterplot?Time Watching TV vs. GradeA.Grade (%)B.10080604020Grade (%)812 16 20Time Watching TV per Week (hours)10080604020Time Watching TV vs. Grade48121620Time...
- Q Janet owns a farm house which contains birds and cows. There are 25 animals. She counted the number of legs as70. Find the number of cows.152010
- Q The construction crew for a new house will dig a hole in the shape of a rectangular prism for the house's foundation. The hole will be 51 ft long, 42...
- Q A swimming pool has a volume of 32,100 gal.Use the table of conversion facts to find out how many cubic yards ofwater it would take to completely fill the swimming...
- Q Find the solution to the lines y = 6x + 5 and y = 4x + 7.(1,-11)(1,11)(-1,11)
- Q Frank knit scarves for his friends. Altogether, the scarves had a total length of 436.8 in. If he knit 7 scarves, and each scarf was the same length, how long...
- Q Let f(x) = 3.3x + 8x - 162x7x + 3--1) The domain in interval notation is2) The y intercept is the point3.3) The x intercept(s) is/are the point(s)(3x4) (x +...
- Q Question 3Points 3The cost of 5 dresses and 2 belts is $48. The cost of 3 dresses and 2 belts is $32. Find the cost of a dress and a...
- Q Gabriel invested $17,000 in an account paying an interest rate of 3% compoundedannually. Assuming no deposits or withdrawals are made, how long would it take, tothe nearest tenth of a...
- Q In this question, the power series method is to be applied to find the general solution of a differential equation.The power series solution is expressed as: y = a0 +...
- Q If f(x) = -f(-x), then the graph of the polynomial function is symmetric about theO originOx-axisO y=x
- Q Describe the transformation to f(x) that results in g(x): g(x) = f(x) - 4Of(x) has been translated down 4f(x) has been translated up 4O No answer text provided.No answer text...
- Q What are the transformations of the function y = -2?x - 5 compared to the parentfunction?Oshifted right 5 units, shifted down 2 units, and reflected over the x-axisreflected over the...
- Q The glass portion of a window has a height to width ratio of 3:2. The wood trimaround the glass adds an additional width and height to the window. The area...
- Q Use the following functions to determine the expression for(g)(x).f(x) = 2x + 4g(x) = x - 3h(x) = 2x + x ? 86x6x12x2x + 4x - 6x 126x - 6x...
- Q Your family is planning a trip to Australia in December. A website indicates that the weather in December has a average low temperature of 26 C. The formula C =...
- Q An infinite geometric series has a sum of 12. If it has a first term of 4, calculate the common ratio. (Expressyour answer as a fraction)
- Q The region enclosed by the lemniscate = 2 cos 20 is thebase of a solid right cylinder whose top is bounded by thesphere z = ??2-2. Find the cylinder's volume.
- Q Here are the test scores for 10 students in Mr. P's class.59, 94, 57, 87, 75, 90, 82, 57, 65, 77What is the percentage of these test scores that are...
- Q Here are the fuel efficiencies (in mpg) of 12 new cars.47. 36, 22, 18. 42. 32. 40. 55. 12. 28. 17.35What is the percentage of these cars with a fuel...
- Q Find the Taylor series at x = 0.1). tan-(3x4)
- Q Find the area of the region D enclosed by one loop of the four-leaved roser = | cos(20)|.GHTSelect one:O a. ?/2O b. ?/4C. ?/8O d. ?/16Oe. None of the other...
- Q The given values would be on which row of Pascal's Triangle?1 10 45 120 210 252 210 120 45 10 114510
- Q Let W be a subspace of R4 spanned by the setQ = {(1,-1,3,1), (1, 1,-1, 2), (1, 1, 0, 1)}.(i) Show that Q is a basis of W.(ii) Does the...
- Q 17. Niki needs $5200 for university tuitionwhen she graduates from high schoolin 2 years. She plans to make depositsinto an account that earns 6.5% per year,compounded bi-weekly.a) Draw a time...
- Q (10 points) A ball is thrown vertically upward from a height of 6 feet with an initial velocity of 80 feet/second. The height (in feet) of the ball at t...
- Q 2. Let X be a Banach space and S,TE B(X). Show that the resolvent functions Rx(T) := (A id-T) satisfy the following equations:(b) R(S)-Rx(T) = R(S)(ST)R(T) for all XE C...
- Q Determine whether the function f(x) is one-to-one. If it is one-to-one, find a formula for the inverse.f(x) = ?5xIs f(x) one-to-one?YesNoThe inverse function is f(x)=[
- Q To describe a specific geometric sequence, Jamie wrote the recursive formula:anan-1.4; a? = -2Write the first five terms of this sequence.
- Q XX**2O 64?660334The first four elements of a pattern are shown in the diagram above. If the pattern continues, how many red boxes will there be in element 16 of the...
- Q 11. Find the exact value(s) for 0 over the interval [0,27] that satisfies each expression below.(3 points each)a. cot0 = -?3b. sin 0 =?2c. sec 0 = -2
- Q Let W be a subspace of R4 spanned by the setQ = {(1,-1, 3, 1), (1, 1,-1,2), (1, 1, 0, 1)}.(i) Show that Q is a basis of W.(ii) Does...
- Q Write the equation of the line has the given characteristics. You may write the equationin point-slope form (y - y? = m(x-x?)) or slope-intercept form (y = mx + b).Slope...
- Q I thought the answer for the hole is 6, but theanswer from the text book is (6,-22/3), How toget -22/3 ? Please help. Thanks a lot.Exer. 7-8: Identify any vertical...
- Q 5) Find the inverse of the function f(x) = (x-3)+2, x ? 2. Also write out the check. Then graph both and labeleach one. Also draw in the y =...
- Q An object is fired straight up from the top of a 100-foot tower at a velocity of 40 feet per second. The height hof the object t seconds after firing...
- Q A laptop computer is purchased for $1250. After each year, the resale value decreases by 35%. What will the resale value be after 5 years? Use the calculator provided and...
- Q Determine the transformations to the parent function y = xy = 1/(x+2)-1compressed by a factor of 1/2 Choose... +shifted 2 units to the rightshifted 1 unit downreflected across the x-axisshifted...
- Q Use the graph of f to draw the graph of its inverse function.Choose the correct graph of the inverse function f 1 below. The graph of f is dashed in...
- Q The equation of a line that is perpendicular to 3x + 2y = 8 and passes through (3,61) is -2x + 3y = -9.
- Q The new high-intensity discharge (HID) headlights containing xenon gas have an expected life of 1900 hours. Because a complete system costs $1000, it is hopedthat these lights will last for...
- Q The function f(x) = 5x + 4 is one-to-one.Find an equation for f(x), the inverse function.f-1(x) =
- Q The function f(x) = (x + 1)5 is one-to-one.Find an equation for f(x), the inverse function.f-(x) =
- Q Determine whether the graph shows a consistent system with independent equations, aconsistent system with dependent equations, or an inconsistent system with independentequations.-4 -3 -23-2+-32 3
- Q Soybean meal is 16% protein; cornmeal is 8% protein. How many pounds of each should be mixed together in order to get 320-lb mixture that is 9% protein?How many pounds...
- Q The function f(x)=-, x0, is one-to-one.Find an equation for f1(x), the inverse function.f-(x)=
- Q 2x + 5X-3Find an equation for f1(x), the inverse function.The function f(x) =, x # 3, is one-to-one.f-(x)=x2(Simplify your answer. Use integers or fractions for any numbers in the expression.)
- Q Solve the equation for if 0 #360" (Enter your answers as a comma-separated list)2 sin 0-sin 28-0
- Q Graph:2<x<5-1?x?3x>4x?2x < 5Interval notation:
- Q 1. THE FIRST BUS HAS 12 MORE SEATS THAN THE SECOND BUS. THE THIRD BUS HAS 8FEWER SEATS THAT THE SECOND BUS. IF THE TOTAL NUMBER OF SEATS IS 154,...
- Q 2. Write the standard form of the equation of thecircle having the given center and containingthe given point:Center (-3, 2); point (3,-2)
- Q The amount of a particular pollutant p from a power plant in the air above theplant depends on the wind speed s, among other things, with the relationshipbetween p and...
- Q Sketch a graph of f(x) =Solution:x - 2x-3X- 3x2x + 3x + 2Before answering this question, we need to factorf(x). Factor f(x) completely and submit youranswer below.
- Q Q) Using numerical angle values between Odegreeand 360 degree (10degree increment) prove thefollowing relationships in an EXCEL WORKSHEET.(Remember that excel only takes angles inradians)1. sin2 0 + cos 0 =...
- Q WHEN YOU SEE FRACTIONS IN THE EQUATION, YOU MUST "CLEAR" THE FRACTIONS BYMULTIPLYING BY THE COMMON DENOMINATOR.X364x-3x+5_574=14
- Q THE SUM OF THREE CONSECUTIVE INTEGERS IS 228. FIND THE INTEGERS.
- Q -2. Suppose f: [0, 1] ? [0, ?) is a continuous function. Let A =Prove that?1 + A <?????? 1 + [ (x)] dx ? 1 + A.f f(x) dx.I...
- Q 4. IN 2010, THE POPULATION OF SOME COUNTRY WAS 1,200,000. FROM 2010 TO 2060, THEPOPULATION IS EXPECTED TO INCREASE BY 30%. FIND THE EXPECTED POPULATION OFTHE COUNTRY IN 2060.
- Q Restaurant customers tiptheir server only 8 percentfor poor service. If their tipwas $3.70, how much wastheir bill?O $46.25O $40.15O $44.60O $50.45
- Q Carbon-14 decays exponentially with a half-live of 5700 years.(a) Find the value of r in A(t) = anert for t in years. Give the exact value and a decimal approximation.(b)...
- Q Find the average rate of change of f(x) = 2x - 2 from 2 to 6.
- Q The sum of the first three terms in an arithmetic series is -6 and the product of these terms is 24. Find the first three terms.
- Q A neighborhood carnival has a Ferris wheel with a radius of 30 feet. You measure the time it takes for one revolution to be 70 seconds. What is the linear...
- Q Find the equation of the quadratic function using the given information. The vertex is (x, y) = (-1, 4) and a point on the graph is (x, y) = (4.8).
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