Algebra question and answers for December 28, 2023
- Q Gus analyzed data related to average salaries and years of working experience in five different industries. Heperformed a linear regression for each industry. The correlation coefficient, to the nearest hundredth,...
- Q If C = 1+p + 3p and B = 2p + 6p, find an expression that equals 2C -B in standard form.
- Q Write an exponential function in the form y=ab? that goes through points (0,19) and (2, 1539).
- Q Given the circle below with secants GHI and KJI. If JI = 30, KJ = 17 and HI = 31, find the length of GH. Roundto the nearest tenth if...
- Q Given f(x) = 3x-10x + k, and the remainder when f(x) is divided by x - 5 is 40, then what is the value of k?
- Q A newspaper is conducting a survey to find out people's favorite sport. The newspaper selects random people that walk into the Georgia Dome to watch the SEC Championship Football Game.
- Q The difference of the square of a number and 24 is equal to 5 times that number. Find the negative solution.
- Q Among all three vectors u, v and w with lengths equal to 1,2, and 3,respectively, find those in which the box made out of them has the maximum volume. Justify...
- Q Find the center, vertices and foci of the hyperbola described by the following equation.(x + 3) - [(y - 4)]/4 = 1Center: ___________Vertices: __________Foci: __________
- Q Fill in the following table so that u is a function of v AND v is also a function of uu -8 0 ? ...
- Q A town has a population of 17000 and grows at 3% every year. What will be the population after 10 years, to the nearest whole number?
- Q Given that f(x)=x-1 and g(x)=x-x, find (f+g)(3), if it exists.Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. (f+g)(3) = (Simplify your...
- Q 1).Suppose that p(x,y)-represents the production of a two-product firm. The company produces x units of the first product at a cost of c? each and y units of the second...
- Q Rhonda Brennan found her first job after graduating from college through the classifieds of the Miami Herald. She was delighted when the offer came through at $18.50 per hour. She...
- Q Evaluate and simplify the expression when a = 2 and b = 4. 4a-2(a + b) + 1 = [?]
- Q John paid $11.88 for a 2.38-pound bag of shrimp at one store. The following week, he paid $26.47 for a 5.08-pound bag at another store. Find the unit price for...
- Q Solve the equation. Give your simplified answer as an improper fraction. 4(x+5) = 6(2x - 1)
- Q Use the distributive property. 6(3x - 4y +7z) = [?]x + []y +[]z
- Q Use the properties of logarithms to simplify the expression so that the result does not contain logarithms of products, quotients, or powers.ln( x ( x + 1 ))
- Q Determine the values.f(-2) = f(0) = f(1) = f(3) = (b) Determine the domain and range of the function.Domain:(A) [-4, 0) U (0, 3](B) [-4, -0.5] U [0, 2.25](C) [-5,...
- Q Evaluate and simplify the expression when x = 1 and y = 2.3(x + 2y) - 2x + 10 = [?]
- Q A football field is 360 feet long and 160 feet wide. 5 principals are making evacuation plans for their schools. How many more students can fit on all ofthe fields...
- Q What satisfies sin (1/3) theta if cos theta is equal to 4/5, and the range is 360<theta<450?
- Q A town has a population of 9000 and grows at 3% every year. What will be the population after 9 years, to the nearest whole number?
- Q Leticia drew a triangle with exactly two sides of equal length. What type of triangle did Leticia draw?(A) scalene(B) isosceles(C)equilateral(D) equiangular
- Q Evaluate and simplify the expression when x = 3 and y = 5. 2y + 3(x ? y) + x = [?]
- Q Total profit is defined as total revenue, R(x), minus total cost, C(x), and is given by the function P(x) = R(x) - C(x). Given R(x)=58x-0.4x and C(x) = 5x +15,...
- Q For the function f(x) = 8x - 5, construct and simplify the difference quotient{f(x+h)-f(x)}hThe difference quotient for f(x) = 8x - 5 is
- Q Find ?, 0? ? < 360, given the following information.cos?= -?3/2 and ? in QII
- Q Evaluate and simplify the expression when x=14 and y= 1/3.2x/13-9y =?
- Q Rick's lumberyard has 400 yd of fencing with which to enclose a rectangular area. If the enclosed area is x yards long, express its area as a function of its...
- Q Given that f(x)=x- 3 and g(x) = 7x + 1, find (fg) (-1/7) if it exists.Select the correct choice below and, if necessary, fill in the answer box to complete...
- Q Use the Power Reducing Formula to fill in the blanks in the identity below:Use Power Reducing Formula to simplify and fill in the blanks in the identity below:sin^(4)(5x) =
- Q State whether the functions below are one-to-one or not. Explain your conclusion.(a) f(x) = x(b) f(x) = x
- Q Find the sum of the terms of the following infinite geometric sequence.1/8, 1/64, 1/512
- Q Let X? be a closed subspace and X? be a finite dimensional subspace of a normed space X. Then X? + X? is closed in X.Let X be a normed...
- Q For the matrix A, find (if possible) a nonsingular matrix P such that P-AP is diagonal. (If not possible, enter IMPOSSIBLE.)Verify that P-AP is a diagonal matrix with the eigen...
- Q Finding the slope of horizontal and vertical linesFill in the blanks below.Find the slope of the line passing through the points (-9,6) and (-4, 6).slope:Find the slope of the line...
- Q Rationalize the denominator. (Assume all variables represent positive real numbers.) 1/?7x
- Q determine if the general equation of the parabola touches the points (6,0),(11,1) and (3,-1), if its axis coincides with the x axis
- Q You are a game manufacturer. You and your team are trying to find the best pair of dice for a new board game you have made. You are examining the...
- Q The population of the Greenworm neighborhood has been growing steadily since 1982. In 1986, the population was 52200 people. In 1994, it was 66600 people. Find an equation in the...
- Q Factor the GCF out of the following expression:30x^4y^2 +45xy +85xyYour answer should take the form A(B+C+D) where A is the GCF of the terms in the expression.
- Q For which values of the parameter a ? R the following real quadratic form is positive definite f(x, y, z) = x + 2xy + 2xy + 2y + 2ayz...
- Q Find the sum of the first ten terms of the sequence -7,3,13,...,83, where 83 is the tenth term.
- Q The minimum SOP form of the following function F = (x+ y+ z)' is(a)xy+xz+x'y'z'(b)xyz'+xy'z+x'yz+x'y'z'(c)xyz+xy'z'+xyz'+x'y'z(d)xz+yz+x'y'z'
- Q Compute the angle between p(x) = 2x ? x + 1 and q(x) = x + 2x, and determine if they are orthogonal where the inner product is the standard.
- Q Suppose ? is an angle such that cos(?)= -7/9If 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 Factor the GCF out of the following expression:6x^8y^7+ 18x^5y +21x^4y^4Your answer should take the form A(B+C+ D) where A is the GCF of the terms in the expression.
- Q Multiply, simplify your answer. ?5. ?/15Provide your answer below:
- Q Convert the radian measure to degrees. Round to the nearest hundredth if necessary. 4?9
- Q The formula A = 15.7 e?.???? models the population of a US state, A, in millions, t years after 2000.(a) What was the population of the state in 2000?(b) When...
- Q Given that h(x)=x+6 and g(x)=?x-4, find (g+h)(4), if it exists.Select the correct choice below and fill in any answer boxes within your choice.A. (g+h)(4) =B. The function is undefined.
- Q Which is the graph of the equation 12y - 24x = 144?
- Q Determine the area under the following exponential decay curve between 0 and 1 second, as given below.y = ?(e-^t)dt
- Q Write an equation for the ellipse centered at the origin with vertices located at (-12, 0) and (12, 0) and foci at (-8,0) and (8,0).(a) (x/144)+(y/80)=1(b) (x/144)+(y/64)=1(c) (x/80)+(y/144)=1(d) (x/64)+(y/144)=1
- Q A plane has an airspeed of 106 km/h. It is flying on a bearing of 70 while there is a 28 km/h wind out of the northeast (bearing 225). What...
- Q On Melissa's 6th birthday, she gets a $3000 CD that earns 3% interest, compounded quarterly. If the CD matures on her 16th birthday, how much money will be available?
- Q A mover in a moving truck is using a rope to pull a 424 lb box up a ramp that has an incline of 22. What is the force needed...
- Q Find a conformal mapping which maps the region between |z-1|>1 and |z|<2 onto the upper half plane.
- Q Consider triangle ABC as shown in the figure below. Extend AC to D so that DBis perpendicular to AB. Prove that a+b=c in two ways.
- Q Body-mass index, or BMI, takes both weight and height into account when assessing whether an individual is underweight or overweight. BMI varies directly as one's weight, in pounds, and inversely...
- Q Multiply and Simplify the following:{(x+5x-6)/2x}*{6x/(x-1)}Be sure to place parenthesis around the numerator and the denominator.________Identify the range for the rational function: y = 2/(x+2) +1example: Identify all restrictions. If y?...
- Q Find the first four terms of the recursively defined sequence.a? = 4, a2 = 3, ak+1 = ak+ak-1
- Q A pendulum swings a length of 38 inches on its first swing. Each successive swing is 4/5 of the preceding swing. Find the length of the fourth swing and the...
- Q Use algebra to show that in parallelogram ABCD the opposite sides are congruent. Be sure to state whether the sides are congruent or not.A (-6.7), B (0,10), C (4,2), D...
- Q Let M be a surface in R oriented by a unit normal vector fieldU = g?U? + g?U? +g?U?Then the Gauss map G: M->? of M sends each point p...
- Q what is the percentage of the total variationthst can be explain by the linear relationship between altitude and temperature on the predicted value belowX value =6.327Pred. Y =47.791211s.e.(Pred. y) =...
- Q Ryan is looking for the best deal on an electric stove that has a wholesale price of $589. Help him compare the price of the electric stove at two different...
- Q Let u(x) = sin(x) and v(x) = x and f(x)=u(x)/v(x)u'(x)=....v'(x)=....f'=u'v'-uv'/v =...
- Q Classify the sequence as arithmetic or geometric, then write a rule for the nth term. 900 , 450 , 225 ..............
- Q Find the derivative of the given equationf(x)= 1/xA) -2xB) 1/2xC) 2xD) -2x^(-3)
- Q A certain coil spring having spring constant 10 lb/ft is sus-pended from the ceiling. A 32-lb weight is attached to the lower end of the spring andcomes to rest in...
- Q Given are the first three terms of a sequence that is either arithmetic or geometric. If the sequence is arithmetic, find a? and d. If a sequence is geometric, find...
- Q Let f(x) =1/x-7 and g(x)=( 4/x)+7.Find the following functions. Simplify your answers.f(g(x)) =g(f(x)) =
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