Algebra question and answers for September 13, 2023
- Q In a particular factory the ambient noise has a loudness of 100 dB If prolonged exposure to a loudness of 85 dB can cause permanent damage how much more intense...
- Q A diving pool that is 6 5 m deep and full of water has a viewing window on one of its vertical walls Find the force on a window that...
- Q Solve for all possible values of x within the domain of the following logarithmic expressions a log4 log x 1 b 3 log 9
- Q Solve each system of equations algebraically 1 4x y 25 1 2x y 2 3 4 5 6 7 y 1 4 x x y 1 x 3x 4y 2...
- Q 14 Tony wants to have 4000 in 5 years a How much does he need to invest now at 3 8 annual interest compounded semi annually Round your answer to...
- Q 15 Andrea wants to borrow 2400 She is considering the following two loans A 2400 at 5 per year compounded semi annually for 4 years B 2400 at 4 7...
- Q Given a rectangular box with dimensions I w and h Determine l w and h in order to maximize the volume under the following condition the sum of the lengths...
- Q Consider the following functions Step 1 of 4 Find f g 1 f 1 5 4 1 1 1 and g 1 3 1 4 Answer How to enter your...
- Q Find the Area of the figure below composed of a rectangle with two semicircles removed Round to the nearest tenths place 6 D
- Q The total cost in dollars of producing a product is given by C x 500x 0 1x 1400 where x represents the number of units produced a Give the total...
- Q For f x x 1 2 and g x 1 3x we have fog x f g x f 1 3x Step 3 Find f 1 3x by substituting 1...
- Q f f x Step 1 To compose a function f with itself substitute f x for x in the formula for f f f x f I
- Q f x f f x Step 1 Here we are multiplying a function by itself For f x x 1 2 we have the followin f f x x 1
- Q Step 1 To compose two functions we use the definition that fog x f g x Step 2 For f x x 1 2 and g x 1 3x we...
- Q Solve this equation to find x 4 86x 164 500 X 4 86 x 164 500 Enter an exact number to the nearest 100
- Q Solve the equation e3z 5 14 Fill in blanks to express the answer in the form The value of a is 1 Type an integer or a simplified fraction The...
- Q c Given two sequences fn neN gn neN C C 0 1 of continuous functions on the closed unit interval 0 1 defined by fn z and 9n 1 Find...
- Q Express the following inequality in interval notation X29 The inequality in interval notation is Type your answer in interval notation
- Q f x x 1 x 2 x 1 and g x x 2 x 3 x 3 For what values of x are both f x and g x decreasing
- Q Plot the points x y and x2 Y on a coordinate system if x 4 y 1 X 7 and y 3 Plot the point x 4 1 08 6...
- Q Simplify the expression 5x 2y4 4x y4 137 6x 4y 5y 105 4 5x 2y4 4x y4 137 6x 4y 5y 105 Simplify your answer
- Q Michael was sketching the graph of f x He lost part of his notes including the equation for the function Giv the partial information below sketch a possible graph of...
- Q x 1 4x 9 Sketch the function f x Be sure to include everything we have talked about intercepts restrictions behaviour around asymptotes local extreme maxima minima points of inflection...
- Q Suppose that you have 5500 to invest and you invest x dollars at 15 and the remainder at 6 Write expressions in x that represent the follor values a the...
- Q Find the value of x 116 144 A 117
- Q Solve log 7x log 5x 14 Select the correct answer below 02 O 14 07
- Q Convert each equation from Polar to Rectangular Identify the shape if possible 0 57 4 Rectangular equation The shape is a n Question Help Select an answer Select an answer...
- Q Solve 72 Round to the nearest thousandth as needed Provide your answer below
- Q The table shows the sight distance y in feet for a car traveling at x miles per hour x in mph 20 60 65 40 50 1485 1840 2140 2315...
- Q Tutorial Exercise Consumers Surplus The demand function for a certain brand of CD is given by p 0 01x 0 2x 32 where p is the wholesale unit price in...
- Q Given the scatterplot with the line representing the least squares regression line Describe the correlat and predict the value of the response variable when x 70 a b 100 C...
- Q Write log 125x as a sum Provide your answer below
- Q Minor 1st fight 66 points Minor 2nd fight 64 points Minor TB Round 1 66 points Minor TB Round 2 60 points Minor TB Round 3 56 points Major 1st...
- Q If money is invested in an account earning 3 85 annual interest that is compounded continuously how many years will it take the amount to double Round your answer to...
- Q You are choosing between two health clubs Club A iffers membership for a fee of 29 plus a monthly fee of 27 Club B offers memebershuo for a fee of...
- Q b Consider the function f z Logz x y y r y 2 x i 22 7 4 i at which points does the derivative exist ii derive a formula...
- Q 3 Consider the recursive equation of a filter given by y n 2 a y n 1 a y n x n 1 n20 A Design the data dependency graph...
- Q 1 At which values in the interval 0 2 will the functions f x 2sin 0 and g x 1 4sin 0 2sin 0 intersect
- Q What is the set of all natural numbers N less than 6 in another way Choose the correct answer below OA X XEN x 6 OB xxEN x 6 OC...
- Q A sporting event held at a high school had 135 attendees The event earned a total of 930 Admission to the event was 10 for adults and 4 for students...
- Q which side length is closedt to the value of HJ Please show all work 27 Which side length is closest to the value of HJ J 16 in 37 a...
- Q Simplify the given exponential expression 3 X 2
- Q 1 The mean life of a tire is 30 000 km The standard deviation is 2 000 km a 68 of all tires will have a life between c What...
- Q Simplify the given exponential expression
- Q Given the function P x x 3x its y intercept is its x intercepts are x x1 x2 X3 When y answer When x answer and x3 y 10x TITU...
- Q Evaluate the given exponential expression 58 53 58 3 11 Type an integer or a fraction Simplify your answer
- Q Use the numerical solver on your graphing calculator to find a solution for the equation in the interval 4 7 x 3 7x 14 5x 47 656 Make sure your...
- Q Is 1 2x 3x a linear combination of the polynomials in 1 x 2 x Find such a linear combination or show that no such combination exists
- Q Solve each triangle ABC that exists A 43 5 a 8 9 m b 10 8 m Select the correct choice below and if necessary fill in the answer boxes...
- Q 7 Determine all solutions of equation sin r 2 sinar 0 8 Determine the expression V if In V 3 ln 2 x In x 7 Determine all reR for...
- Q What is the slope of the line tangent to the curve y 3x 6x 3 at x 4 O y 30 O y 60 O y 51 O y 54...
- Q 2 Given the following graph of f x a State the Domain 1pts b State the Range 1pts c State the interval s on which the graph is increasing 1...
- Q 0 A sinusoidal function of the form y asin x c d is changed by increasing c by 5 The new graph will have transformed A 5 units right B...
- Q 2 A florist is making 5 identical floral centerpieces for a corporate event She has 610 to spend and wants 24 flowers in each centerpiece Roses cost 6 each carnations...
- Q Find a real general solution of the given system of differential equations Identify the trajectories y y1 y2 y2 2y1 3y2
- Q A storage facility has a cross section modelled by the relation h 0 5d 2 3d where h is the height in metres and d is the horizontal distance in...
- Q Find the center foci and vertices of the ellipse Graph the equation x 2 y 4 16 81 Type the coordinates of the center of the ellipse in the boxes...
- Q 15 14 15 11 109 f x B S A 4 F 2 10 11 W
- Q One 8 oz serving each of coffee energy drink and soda contains 209 mg of caffeine One serving of coffee has 7 mg more caffeine than two servings of soda...
- Q 5 Given piecewise function f x Graph the function 2x 3 if x 4 x 1 if 4 x 10
- Q Use expansion by cofactors to find the determinant of the matrix 2 4 3 003 1622 0 0 4 3 4 00434 0025 5 1 0 0 0 0 1...
- Q 10 Prove the following identities cos sin 1 2 sin 0
- Q Factor f x 2x 5x 5x 14x 8 into linear factors given that 2 is a zero of f x f x 2x 5x 14x 8 Factor completely
- Q 17 In how many ways can 15 people be chosen from a group of 22 Show your work
- Q 1 Sketch the graphs of the functions below Be sure that your graph includes all real zeros multiplicity and end behavior f x 3x x 2 5 x H
- Q Find an equation for the plane consisting of all points that are equidistant from the points 6 2 3 and 2 4 7
- Q 4 Fill in the 60 9 length 5 of each segment in the following figures 6 30
- Q 2 Factorize i X x 12 ii 8x 125 iii X 81x
- Q Independent Practice Homework I Fill in the length of each segment in the following figures 1 2 7 10 2 3
- Q Skill Practice 10 Use the function f pictured to find a f 2 b f 4 c All x for which f x 3 d All x for which f...
- Q 1 4 7 X 45 Find the value of x and y in each triangle 2 30 30 11 X 18 8 N 2 12 45 8 14 60 X...
- Q 4 7 30 30 11 45 X 2 8 2 45 12 14 3 60 X
- Q axis length of the straight latus and eccentricity of each one then plot the graph Prof M Ruiz Prec lculo Avanzado 20 21 Kuta Software LLC All rights reserved Pr...
- Q 7 4 30 Find the value of x and y in each triangle 1 30 11 y y X 2 160 8 X y 12 60 30 6 3 9...
- Q Simplify the algebraic expression 2 2x 2 3 2 2x 2 3
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