Algebra question and answers for October 14, 2023
- Q Find the expected value in % of an insurance bet if you have removed 6 small cards from a single deck (and the dealer has an ace up)
- Q Suppose m and n vary inversely and n = 17 when m = -4.Inverse variation Formula: y = k/xa) Write an equation that models the variation.b) Find n when m...
- Q Your shirt drawer contains 6 different colored shirts that you will wear over the next 6 days. What is the probability that you will randomly choose the green shirt to...
- Q Solve and check the equation.x/5=x/6-9What is the solution? A. The solution set is {____}.B. The solution set is {x|x is a real number}.C. The solution set is .
- Q C and D are sets of real numbers defined as follows:C= {z|z=>4}D={z|z<5}Write CUD and CND using interval notation. If the set is empty, write
- Q The points (6, -1) and (3, 2) fall on a particular line. What is its equation in slope-intercept form?Write your answer using integers, proper fractions, and improper fractions in simplest...
- Q Out of 10 possible points, a class of 20 students made the following test scores:0,9,4,2,4,4,5,6,6,6,7,8,8,8,8,9,9,9,10,10What is the median score?What is the mode?What is the mean test score?Calculate the variance and...
- Q A plane heads S 10 E at 150 mi/h. It experiences a 30 mi/h crosswind blowing N 50 E. What is the ground speed of the plane? What is the...
- Q Find equations in Cartesian, cylindrical, and spherical coordinates for the following surfaces:(a) A sphere of radius 2 centered at x = 2, y = 0, z = 0.(b) A cylinder...
- Q For the function, determine whether y varies directly with x. If so, find the constant of variation and write the function rule. Select the correct choice below and, if necessary,...
- Q Every year, the Rock and Roll Hall of Fame and Museum inducts legendary musicians and musical acts to the Hall. The table shows the number of inductees for each year....
- Q Find the amount in a continuously compoundedaccount for the given conditions.16. principal: $500; annual interest rate: 4.9%;time: 2.5 years17. principal: $6000; annual interest rate: 6.8%;time: 10 years
- Q Plot the product of the complex numbers on the plane below.(2e^315'i) (2e^210i)
- Q Solve the system by using the addition method.4x + 5y =-113x - 4y= 46Do not enter any spaces in the answers.The solution is
- Q 2. A contestant on a game show spins a wheel that is located on a plane perpendicular to the floor. He grabs the only red peg on the circumference of...
- Q Convert the following point from polar to Cartesian coordinates. Write the exact answer as an ordered pair. Do not round.(5, 5?/3)
- Q Convert the point from Cartesian to polar coordinates. Write your answer in radians. Round to the nearest hundredth.(-11, 12)
- Q Show, using the definition of uniform continuity, the function f(x) =*? is uniformly continuous on [0,3].
- Q A surveyor needs to find the distance AC and BC on this picture. She has the given measurements (all are in feet). Find the two missing sides. [Hint: Use Laws...
- Q Find all zeros of the function.f(x) = 4x. 24x + 48x - 36Entry tip: Enter the zeros (exact values, not decimal approximations) separated by commas.
- Q Select all sets that ?16 belong to.natural numberswhole numbersintegersrational numbersirrational numbersreal numbers
- Q Solve the equation (1+i)2 = -1+?3i and list all possible solutions in Euler form with principal arguments.
- Q Given the following functions, find each:f(x) = x ? 8x + 15g(x)=x 3(f+g) (c) =(f = g)(x) =(g-f)(x)PreviewPreviewPreview
- Q Given the following functions, find (f 9) (-2)f(x) = 11x + 28g(x) = x + 7PreviewEnter your answer as a number (like 5, -3, 2.2172) or as a calculation (like...
- Q Prove that the Galois group of x5 - 1 E Q[x] is is a cyclic group of order 4.
- Q Outside temperature over a day can be modelled using a sine or cosine function. Suppose you know the high temperature for the day is 57 degrees and the low temperature...
- Q Given the functions below, evaluate the expressions.Round answers to 3 decimal places as neededp(r)=7r/(4r-3)(q o h)(4)=(p o h)(3)=(h o q)(3)(p o q)(4) =
- Q Express in terms of i.?-98?-98 =[](Simplify your answer. Type your answer in the form a + bi.)
- Q Add and simplify.(9-4i) + (2-2i)(9-4i)+(2-2i) =(Type your answer in the form a + bi.)
- Q Consider the function f(?) = 3 sin(?/2 - 45)+1(a) Determine the amplitude of the function.(b) Determine the period of the function.(c) Determine the phase shift of the function.(d) Determine the...
- Q The surface area of a sphere is 4?r. Find the percentage increase in its diameter when the surface area increases by 21%.a. 30.2%b. 33.1 %c. 34.5 %d. 30.9 %
- Q Find the normalization constant A?sin? (?)d?=-5 cos(?)/8 +5cos (3?)/48-cos(5?)/80
- Q Find the x- and y-intercepts of the graph of the function f(x) = -4|x-7| +4.Enter your answers as points, (a, b).Enter the z-intercepts in order of increasing x-value. If there...
- Q Solve the radical equation. Check all proposed solutions.?(2x+5)-1=xSelect the correct choice below and, if necessary, fill in the answer box to complete your choice.A. The solution set is {(Use a...
- Q You want to buy a new pair of Kickin' sneakers and you see the following ads:Store A ...
- Q Solve the following formula for the specified variable.B = ?ts for ss=[] (Type an exact answer, using ? as needed.)
- Q Solve the equation in the interval 0 ? ? < 2?3 sin (2?) 4 sin? + 2 = 3 cos ?
- Q Use Green theorem to evaluate ?[7y-e^sinx]dx + [15x-sin(y +8y)] dy Where (c) is a positively oriented circle radius 3 centered at the origin.
- Q Let w=(-4, 12,-7), v? = (1, 3,-2), v? = (3, 1,-1).Then w is a linear combination of the other two vectors, andW= ____V?+ _____V?.All answers are numeric.
- Q Find the x-intercepts of the graph of the equation. Use the x-intercepts to match the equation with its graph.y=?(x+6)+?(x-2)-4The set of x-intercepts is
- Q Write the sentence as an equation.The sum of - 56 and 19 is -37."The sum of -56 and 19 is - 37" written as an equation is
- Q Solve the initial value problem 4y" - 12y' +9y = 0, y(0) = 3,y'(0) = 5.y(t) =How does the solution behave as t ? ??
- Q You would like to have $950,000 when you retire in 40 years. How much should you invest each quarter if you can earn a rate of 4.5% compounded quarterly?a) How...
- Q Write the following sentence as an equation. Use x to represent "a number."The product of 2 and the sum of -4 and a number is -30.The equation is
- Q Write using exponential notation.8.7.7.9.9.9=
- Q If a mortgage is 185,000. calculate the monthly payment and closing cost for each. 20 yr fixed rate at 5.5% with closing cost of 2200 and 1 point. 20 yr...
- Q Suppose you wanted to use a trigonometric function to model the height of a passenger (with respect to time) on a Ferris wheel. Explain why you could use a reflected...
- Q Find the x- and y-coordinates of point B.The coordinates of B are(Type an ordered pair.)
- Q Solve the inequality.6(3z + 1) <6The solution set is
- Q Use the slope-intercept form to graph the equation.y = -7xUse slope and y-intercept when drawing the line.
- Q Plot the intercepts to graph the equation.3x-6y=-6SIDEUse the graphing tool to graph the equation. Use the intercepts when drawing the line. If only one intercept exists, use it and another...
- Q Find the slope of the line.-7x-5y=3Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. The slope is (Simplify your answer.)B. The slope...
- Q Which of the following sets are subspaces of R?A. {(-5, y, z) | y, z arbitrary numbers }B. {(x, y, z) | x+y+z= -8}C. {(8x + 6y, 3x - 9y,...
- Q Find the slope of the line x = 6.Select the correct choice below and, if necessary, fill in the answer box to complete your choice.(Type an integer or a simplified...
- Q Find the value of z. ?(z-5) = 2.9-49-77
- Q The equation d = 2sin (18t) measures the displacement of a swinging object in simple harmonic motion. t is measured in seconds and d is measured in centimeters. What is...
- Q A planet rotates on an axis through its poles and 1 revolution takes 1 day (1 day is 26 hours). The distance from the axis to a location on the...
- Q $5750 is invested at an annual interest rate of 3.5% for 25 years, find the balance if the interest is compounded on the following basis. (Round your answers to the...
- Q A researcher performs an experiment to test a hypothesis that involves the nutrients niacin and retinol. She feeds one group of laboratory rats a daily diet of precisely44.6 units of...
- Q Suppose that a culture of bacteria grows at a rate of 20.12e^t/32, where t is in minutes. If the initial population of bacteria was 2842, find the total number of...
- Q Jake has $168,000 to invest. He chooses one money market fund that pays 6.8% and a mutual fund that has more risk but has averaged 7.2% per year. If his...
- Q Savings Account: A woman deposits $600 in a savings account that pays 3% annually. If she withdraws all the money in the account after 120 days, how much does she...
- Q Let f(x) = (x + 8)Find a domain on which f is one-to-one and non-decreasing.Find the inverse of f restricted to this domain f-(x) =
- Q Find all roots of the following. equation:z^4 = ?3+i
- Q In Problems 1-14, find the image of the given set under the mapping w = 2. Represent the mapping by drawing the set and its image.the line y = -3;...
- Q Evaluating and Solving an Equation Application Identify the information given to you in the application problem below. Use that information to answer the questions that follow. Round your answers to...
- Q The population of a town has been growing, following the equation P = 600t + 6000, where t is years after 2010. The number of restaurants in the town has...
- Q The following chart shows "living wage" jobs in Rochester per 1000 working age adults over a 5 year period.Year 1997 1998 1999 2000 2001Jobs 665 735 790 830 855What is...
- Q In 1812, an earthquake of magnitude 7.9 shook New Madrid, Missouri. Compare the intensity level of that earthquake to the intensity level of each earthquake below.32. magnitude 7.7 in San...
- Q Find the splitting field of x - 2 over the field Q of rational numbers and its degree over Q.
- Q Find the 6 complex solutions for the equation z^6= -64. Give your exact answers in polar and standard forms.
- Q Find the equation of the circle with the line segment (0, 1) and (4, 5) as its diameter.Draw and find its other y-intercept.
- Q One of the next function is an even number:a) Csc xb) Tan xc) Cot (-x)d) Sec (2x)e) NA2) Determine the period, amplitude, and horizontal shift of the functiony= 2 cos...
- Q Which best describes the behavior of the graph of a polynomial function at a real zero that has multiplity 4?A) graph crosses x-axis and flattensB) graph has no x-interceptC) graph...
- Q Q3 Which of the following are correct?(i) Every rooted tree of height h has at least 2 nodes.(ii) Every rooted tree of height h has at most 2" nodes.(iii) Every...
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