Algebra question and answers for July 02, 2023
- Q Write the equation of the line, with the given properties, in slope-intercept form. Slope=-8, through (-5,3) The equation of the line is__.
- Q Evaluate the expression.18P 10/ 10! - 18 C10
- Q Let R be a ring with unity and M an R-module. Prove that M is cyclic if and only if M = (R/I) for some left ideal I of R.
- Q Consider the system of equationsx? + x? + x? = 22x? + x? - x? = 5x? - x?-3x? = 2Using the inverse of A or otherwise, find the solution...
- Q Suppose that and B are acute angles such that cos (a) = 4/5 and tan (B) = 15/8Compute the following. Enter exact answers; decimal approximations will be marked incorrect.(a) sin(a...
- Q You choose 1000 ordered pairs where x and y are both randomly chosen between 0 and 1. How many of those ordered pairs would you expect to satisfy y>x^3?
- Q In how many ways can the letters of CALCULATOR be arranged?a)453,600b) 3,628,800c) 100,000,000d) 24
- Q The amount of caffeine remaining in a person's system t hours after drinking an energy drink can be modeled by the function y = yoe -0.12160477t. If a person's system...
- Q Simplify the radical expression. It may be helpful to change theexpression to the exponential form first.(?x/z2)6When simplified, what is the power of x in numerator?When simplified, what is the power...
- Q Find all solutions to each congruence.(a) 7x ? 3 (mod 15)(b) 6x ? 5 (mod 15)(c) x ? 1 (mod 8)
- Q 6. It is determined that an artifact has 30 grams of its original 40 grams of carbon-14 remaining. How old is the artifact? Label your answer and round it to...
- Q Solve the equation. Give the exact value and approximate the solution to the nearestthousandth. Use ^ to enter exponents, as in 2^5-1 means 25 1.log(m - 8) = 1.9
- Q Rewrite the rectangular equation in polar form.y = 16
- Q You are a landlord and one of your tenants complained that the refrigerator was not working properly. You plan to sell this property in three years, so you are only...
- Q Solve the equation.x/2x+2 = -2x/4x+4 + 2x-3/x+1
- Q Determine whether there is a minimum or a maximum value to each quadratic function. Find the value and the axis of symmetry.f(x) = 2x - 8x - 9
- Q Consider the graph and identify the Amplitude and Period. Choose the correct answer to fillin the blanks below.
- Q Evaluate the following expression. Write the exact answer. Do not round. If the value does not exist, write DNE for your answer.
- Q Determine the exact value of the following expression.cos615
- Q Val belongs to a Netflix-lovers group with a total of n people, We say that between two members of the group there where n is a Netflix-party relationship if the...
- Q Given a function f with its inverse function, f1, which of the following must be true?
- Q Above is a graph of the sinusoidal function. State the function's formula in terms of x.Be sure to PREVIEW your answer before submitting!
- Q Prove that the dihedral group Dn, n ? 3, is not simple.
- Q Find the equation of the line passing through the given points: (-2, 9) and (-2,8).
- Q A common style of counting problem involves drawing from a deck of playing cards.In a standard deck of playing cards, there are 52 different cards. Each card is one of...
- Q Find the domain and range of the relation: {(-7, 9), (-7, 8), (-7, 7), (-7, 6)}. Then determine whether the relation is a function.
- Q y = 2/5x - 3a. Write the equation of a line parallel to the given lineb. Write the equation of a line perpendicular and passing to the given line and...
- Q Solve the following formula for the specified variable.C = 4?w for ww=(Type an exact answer, using as needed.)
- Q How can sales tax alter the size of the tip you leave at a restaurant?a. A tip of a given percentage (such as a 20% tip) will be larger if...
- Q the table shows the numbering system used in the United States (x) and Europe (y) for shoe sizes. ...
- Q Solve the following formula for the specified variable.V = Ghc for GG=[]
- Q Solve the following formula for the specified variable.C=(1/4)e .p for ee=
- Q Let V be an inner product space with an orthonormal basis B {V?, V2,..., Vn}. Let v = a?v? + a?V?+...+anVn and w = b?V?+b?V2+...+bnVn. Prove (v, w) = a?b?+a?b2+...+anbn.
- Q Show that if an n-vertex graph G contains at least [n/4]+1 edges, then G contains at least [n/2] triangles.
- Q Write a polynomial in standard form with zeros at 3, 2, -1. Choose all that apply to the polynomial.Select one or more:a. There are three positive terms and one negative...
- Q Evaluate x-y for the given replacement values.x = 2 and y = -25x-y=
- Q Find a third-degree polynomial equation with rational coefficients that has roots -4 and 2 + i.Select one:a. x - 11x + 20 = 0b. x - 11x = 0c. x...
- Q If a baseball is projected upward from ground level with an initial velocity of 32 feet per second, then its height is a function of time, given by s=-16t +32t...
- Q Although rare, tied swimming races occur with some frequency. In fact, at the 2016 Olympics there was a three-way tie for second position in the men's 100 m butterfly event.Find...
- Q Use the Rational Root Theorem to list all the possible rational roots of the polynomial equation. Do not find the actual roots.x - 4x + 7x-8=0Select one:a. 1, 2, 4,...
- Q Evaluate the following expression for x = -3, y = 2, and z = -1.2x-3y-6z2x-3y-6z=
- Q Evaluate 4x + y for x=2 and y = -1.The result is
- Q Solve the system of equations by the addition method.3x-3y = 72x+6y= 10Select the correct choice below and, if necessary, fill in the answer box to complete your choice.OA. The solution...
- Q Solve the following second order ODE.xy"- cos x y' + sin x y = 0, x>0
- Q Graph the linear equation.x= -8Use the graphing tool to graph the linear equation.
- Q Solve the system of linear equations by graphing.y = - 2x2x-y = -4Use the graphing tool to graph the system.
- Q Solve the system of linear equations by graphing.y+x= -1(3x)+3y=-3Use the graphing tool to graph the system.
- Q Find the domain of the rational expression. f(x) = 2/ x^2 + 2x - 24
- Q Solve the inequality. 18x-81-x<0
- Q Find the chromatic polynomials of(i) the complete bipartite graph K2,5;(ii) the cycle graph C5.
- Q You currently have $8,900 (Present Value) in an account that has an interest rate of 8% per year compounded continuously. You want to withdraw all your money when it reaches...
- Q Give the domain for m(x) =x-6/x + 16x + 63 in interval notation.
- Q If you place a 23-foot ladder against the top of a building and the bottom ofthe ladder is 11 feet from the bottom of the building, how tall is the...
- Q How many different passwords are possible if each character may be any lowercase letter or digit, and at least one character must be a digit? Enteryour answer in scientific notation...
- Q In 2005, 10.6 out of every 50 employees at a company were women. If there are 45,473 total company employees, estimate the number of women.
- Q A certain disease has an incidence rate of 1%. It is known that the false negative rate is 10% and the false positive rate is 2%. Let D be the...
- Q The reference angle of 233 degrees isThe reference angle of 339 degrees isThe reference angle of -156 degrees is
- Q Decide whether or not the function given by the equation below has an inverse function.Briefly explain why or why not.You do not need to actually determine the equation of the...
- Q A polynomial has a constant term of 6 and a leading coefficient of 4. Which one of the following is a potential rational zero of this polynomial?A) 3/4B) 4c) 2/3D)...
- Q A Fermat number is of the form Fn = 2n + 1.Find a positive integer k where Fk is not a prime number.(a) Use Fermat's test to prove that Fk...
- Q Given that 2 is a zero of the polynomial function f(x), find the remaining zeros.f(x) = x - 10x +41x-50
- Q A 4-person grievance committee is to be selected out of 2 departments, A and B, with 10 and 25 people, respectively. In how many ways can the following committees be...
- Q Find all zeros of the polynomial, (Enter your answers as a comma-separated list. Enter all answers including repetitions.)P(x)=x4-2x3-7x- 2x -8
- Q There are 7 women and 6 men signed up to join a salsa dance class. In how many ways can the instructor choose 4 of the people to join if...
- Q 3. (Future value) Find the future value of $3600 invested in an account at 5% interest for 10 years if interest is compounded:a) Annuallyb) Continuously
- Q A catering service offers 3 appetizers, 8 main courses, and 9 desserts. A customer is to select 2 appetizers, 3 main courses, and 4 desserts for a banquet. In how...
- Q Mr T is ready to hit the rod and go on tour. He has a posse consisting of 150 dancers, 90 back-up singers and 150 different musicians and due to...
- Q If the determinant of a 5 5 matrix A is det(A)det (B) ==5, and the matrix B is obtained from A by multiplying the second column by 2, then
- Q A pet store has 12 puppies, including 5 poodles, 6 terriers, and 1 retriever. Rebecka and Aaron, in that order, each select one puppy at random without replacement.Find the probability...
- Q Determine the degree and the leading term of the following polynomial function.3fix) = (x5-3)(x+2) The leading term of the polynomial function is(Type an expression using x as the variable.)
- Q Santos flipped a coin 300 times. The coin landed heads up 175 times. Find the ratio of heads to total number of coin flips. Express as a simplified ratio.12 to...
- Q Convert to standard form:y=-11x + 16
- Q Find the miles per second traveled if one travels 60 miles in 6 hours.Round to five decimal places if necessary.?x x miles/second
- Q Given the set of all of the integers from 15 to 49, what is the probability of choosing a number that is a multiple of 7? If you enter your...
- Q Fit a linear function of the form f(t) = co+c?t to the data points (-8, 27). (0,2). (8, 37), using least squares.f(t)
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