Algebra question and answers for December 25, 2023
- Q A loan of $19,000 is made at 3.75% interest, compounded annually. If no payments are made towards this loan, in how many years will the amount due reach $33,000 or...
- Q Multiply. (20-4 i)(5+ i)(Simplify your answer. Type your answer in the form a + bi.)(20-4 i)(5+ i) =
- Q Using a random sample with 100 observations, the regression of Y on X andW yields an R-squared of 3%.Then the homoscedasticity-only F-statistic testing the joint significance of Xand W's coefficients...
- Q Some values for the function f(x) = log x are given in Table 1.Table 1 Table 2x f(x) ...
- Q What value of r makes the equation below true?19/(4r-1)=5F. 1G. 1.(1/5)H. 5J. 1.(4/5)
- Q The number of cases of a new infectious disease is doubling every year such that the number of cases is modeled by a sequence beginning whose general term is an=75(2)^n-1.where...
- Q Evaluate cos [tan -(1) - cos-(-?3/2)].(1) If cos x = -1/2 with in Qll then find sin(x/2).(2) Solve for 0 ? ? < 2? : 4sinx - 2cscx = 0...
- Q How many years will it take $3,000 to grow to $4,700 if it is invested at 4.25% compounded continuously?
- Q Which square root equation shows a vertical compression, a right horizontal translation, and a downward vertical translation?y=1/8?x-1-3y=-4?x+1?5y= 2?x+1+2y=?x?4+5
- Q Given the logarithmic equation log4 6 = x, what would be the equation rewritten in exponential form?F) 6^x = 4G) x^4 = 6H 4^x = 6J) 6^4 = x
- Q What is the inverse function for the rational function shown below?(x)=x/5z-85x-8(a)- (x)=5x/8x-1(b)- (x)=8x/5x+1(c)- (x)=8x/5x-1(d)- (x)=x/8x-1
- Q Assume all variables represent nonzero numbers.) {a.a.a}{(a)}
- Q What is the solution to the logarithmic equation shown below?log32 x = 1/3Record your answer in the boxes below. Be sure to use correct place value.
- Q Suppose is an angle such that cos(?)=-1/3If 0 < ? < ?,then cos(?/2)=____and sin(?/2)=_____If ? < ? < 2?,then cos(?/2)=______and sin(?/2)=____If 2? < ? < 3?,then cos(?/2)=_____and sin(?/2)=______
- Q Solving Differential Equations:Solve the following differential equationy" + 2y' + y = 0Subject to the initial conditionsy'(0) = 3 & y(0) = 2
- Q Given the arithmetic sequence -4, 16, 36, 56, . . ..Find the a??
- Q Rewrite 2xy in exponential form.A) 2 * x * yB) 2^(1/2) * x^(2/4) * y^(1/2)C) 2^(1/3) * x(1/3) * y(2/3) D) 2^(1/3) * x^(2/3) * y^(1/3)
- Q Solve. ?(2x-15x + 25) = ?(x+5)(x 5) If there are multiple answers, list them separated by a comma. For example 1, 2. If there is no solution, indicate this with...
- Q A mining company is mining silver. The relationship between the mass of the material mined in metric tons and the number of carts required to transport the material is given...
- Q Use a sample space to determine whether the events are independent. There are three green apples and one red apple in a bowl. You randomly select one apple to eat...
- Q In the diagram below is P and Q the midpoints of two circles with equations(x-7) + (y + 2) = 49 and x + y + 10x - 6y =...
- Q Events A and B are independent. Let P(B) = 0.4 and P(A and B)-0.13. Find P(A). Write your answer as a decimal rounded to the nearest thousandth. P(A) =
- Q Choose all of the true statements regarding the graph.Select all that apply.The graph passes the vertical line test.The graph is a function that has an inverse function.The inverse of the...
- Q Consider to fit the data set {(xi, yi), i = 1,...,n} by the regression modelyi = 3x + i,Find the least squares estimator of ?.
- Q Use slope-intercept form to write an equation of a line passing through the given point and having the given slope. Express the answer in standard form.P(-4,1); m=1
- Q Which option choice Identify the Associative Law for AND and OR1: AND: x + (yz) = (x + y)(x + z) and OR: x(y+z) = xy + xz2: AND: (xy)'...
- Q Cedar Hill State Park covers an area of 3,900 km and each year this area decreases by 4.75%. At this rate, which measurement would best represent thearea in square kilometers...
- Q Neatly show all of your work as you find an expression for the exact value for sin 75by using:-a)a sum or difference formula.b) a half-angle formula (note 75 is half...
- Q There were 522 cell phones sold at an electronics store in January. Since then, cell phone sales at this store have increased at a rate of 2.667% per month. At...
- Q Find all vertical and horizontal asymptotes of the graph of the function. (Enter your answers as a comma-separated list.)f(x) = (x-3x-4)/(8x+x-7)
- Q An antibiotic is introduced into a colony of 12,000 bacteria during a laboratory experiment. The function below can be used to model the number of bacteria in the colony after...
- Q What is the inverse of the equation below?h(x) = -1/2 log3(x)a) h- (x)=3^(2x)b)h-(x) = 2(3)^xc)h-(x) = 2(logx 3)d)h-(x) = log3 (2x)
- Q The corresponding system has no solution, {}.The corresponding system has one solution.The solution set isThe corresponding system has infinitely many solutions.The solution set is {= is any real number}
- Q Convert the rectangular equation to polar form and sketch its graph.2x - 8y = 1
- Q Let 8 be an angle in standard position. Name the quadrant in which 0 lies.sin? > 0, cot? < 0The angle 8 lies in which quadrant?IIVIIIII
- Q Find the cos equation given amplitude: 1, period:(2?)/7, vertical shift: -2, and horizontal shift:?/14A. y = cos((?/7)+(?/14))-2B.y = cos(7?+(?/14))-2C. y = cos((?/7)+(?/2))-2D. y = cos(7?+(?/2))-2
- Q Use your graphing calculator to find all radian solutions in the interval 0?x<2?r for each of the following equationcos x + 5 = 8 sin xx =_
- Q After graduating from college, Carlos receives two different job offers. Both pay a starting salary of $49000 per year, but one job promises a $2450 raise per year, while the...
- Q Suppose is an angle such that cos(?)=-1/3If 0 < ? < ?, then cos(?/2)=_____and sin(?/2)=_____If ? < ? < 2?,then cos(?/2)=_____and sin(?/2)=______If 2? < ? < 3?,then cos(?/2)=______and sin(?/2)=_____
- Q Solve the following differential equationsa. =x-xsquaredb. =1-|x-1|c. = xt/1-xIn each case also i) discuss the local existence and uniqueness; ii) discuss the maximum interval of existence of the solution(s); iii)...
- Q Use a half angle formula to find the exact value.Since 105 is in Quqadrant______, cos(105) is _______cos(105) = cos(1/2____)
- Q Assume that a surface S has the property that |k?| ? 1,|k?| ? 1 everywhere.Is it true that the curvature k of a curve on S also satisfies |k| ?...
- Q Given log b a = c, which statement is true?(A). a = b^ c(B). c = a^ b (C). c = b^ a(D). a = c^ b
- Q Which value of x makes the equation (x-3)/(x-8)=(x+3)/(x+6) true?A. 3/8B. 1/2C. -3/4D. -4/3
- Q Expand the logarithim: log?5x(a.) 5log?x(b.) 2log?5 + 2log?x(c.) Xlog?5+ 2log?5(d.) log?5 + 2log?x
- Q Let ABC be a triangle with legs a = 12, c = 18, and angle C = 40. What is sin(A) ?(A) 2 sin (40?) /3(B) 3 sin(40) / 2(C)...
- Q Select the correct answer.Which function is continuous across its domain?A. x + 4, -4 ? x < -2 f(x) =...
- Q The functions f and g are defined byf(x)=(16-x) and g(x)=(x-1) respectively.Suppose the symbols Df and Dg denote the domains of f and g respectively. Determine and simplify the equation...
- Q For the geometric sequence -2, 6, -18, .., 486 find the specific formula of the terms. Write the sum-2+ 6-18 +.. + 486 using the summation notation and find the...
- Q Question 4Find the slope of a line passing through the pair of points: (-7, 0) and (-7, 6)
- Q How long do you need to invest your money in an account earning an annual interest rate of 3.359% compounded daily so that your investment grows from $1,185.79 to $10,448.00...
- Q Solve the following equation and check graphically. |x-6/7|=7Select the correct choice below and, if necessary, fill-in the answer box to complete the choice.(A.) The solution(s) is/are x =(Simplify your answer....
- Q In each part of this problem, information about a sequence or series is given. Use the given information to determine the requested information.a) sequence is arithmetic, with a3 = ?8...
- Q How much time will be needed for $35,000 to grow to $38,657.01 if deposited at 5% compounded quarterly?The amount $35,000 will grow to $38,657.01 in ____ year(s).(Do not round until...
- Q Express using rational exponents. 1/?(5) Sorry, that's incorrect. Try again?
- Q Fill in the blanks:a. A sphere is the set of points in _________________.b. A circle is the set of points in __________________.
- Q Solve the following equation. Determine whether the equation is an identity, conditional equation, or an inconsistent equation: 7x + 13 =2(2x - 5) + 3x + 23; conditional equation; Inconsistent...
- Q 7. What can AC be called?8. What can you conclude about ?ADC and ?ABC?
- Q If the expression 10x+11/2x+1 was placed in the form 5+a/2x+1, then which of the following would be the value of a?(1) 6(2) -7(3) 3(4) -5
- Q If C = x+8 and D = 2x + 10, which expression equals 2C + 3D?A. 8x + 18B. 8x + 46C. 3x + 18D. 3x + 46
- Q A group of 40 trees in a forest are not growing properly. A botanist determines that 34 of the trees have a disease or are being damaged by insects, with...
- Q Find the horizontal asymptote as x --> 8 and then describe what this means in practical terms. F(x) = 150x + 120/0.05x + 1; the number of bass, f(x), after...
- Q The table gives the crude oil production of a certain country, in billions of barrels, for the years from 2010 projected to 2030. Complete parts (a)through (f).
- Q Find the solutions of the following difference equations with the given values of xo:a) X(t+1) = 2x(t) + 4, Xo = 1b) 2x(t+1) + 3x(t)...
- Q If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of another triangle, then the triangles are congruent. A. Side-Side-Angle (SSA) Congruence...
- Q Solve. 5-4?(2x+1) = 0. Do not include = in your answer. Provide your answer below:
- Q There are two right triangles, Triangle A and Triangle B.In Triangle A, besides the right angle, one more angle is given and one side length is given.In Triangle B, besides...
- Q Precalculusshow that f'(x) = 2/4x-x^2 when g(f(x)) = x-2 and g'(x) = 2 -[f(x)]^2
- Q Let A = {1,2,3} and R and S be two relations defined on A as follows:R = {(1,3), (3,2), (2,3), (3,3), (1,2)}S = {(1,1), (2,2), (1,3), (2,1), (3,1), (1,2)}Which of...
- Q Use polynomial long division to simplify each of the following ratios. There should be a zero remainder. (a) x +5x-24 / x-3 (b) 6x +11x-10 / 3x-2
- Q 1. Find it DNF2. find its dual function(using two methods the definition and the theorem)( x, y, z)= x ? (?+z)
- Q e^(5x-3)-2 =10,476Solve the following exponential equation. Express the solution set in terms of natural logarithms or common logarithms to a decimal approximation, of two decimal places, for the solution:(a){ In...
- Q Find the indicated term of each geometric sequence. 4) a? for 3, 6, 12, 24, ... 5) a? for 1/8, 1/4, 1/2 ....
- Q use a wall clock and use the minute hand of the clock as a real world periodic function. Model the height of the minute hand as a sinusoidal function. Then...
- Q f(x) = 2x?+ 3x + 3x - 2Find all the zeros of each polynomial function and write the polynomial as a product of linear factors.(a)-2, 1/2, + i; f(x) =...
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