Algebra Questions

a Find the decibel rating of a sound d 10 log having intensity 1 000 000 000 000lo where lo is the initial intensit lo 1 b If the intensity of a sound is tripled by how much is the decibel rating increased a Find the decibel rating of a sound having intensity 1 000 000 000 0001 where lo is the initial intensity The decibel rating of this sound is 120 b If the intensity of a sound is tripled by how much is the decibel rating increased The decibel rating of the sound increases by about decibels Round to the nearest integer as needed

Use the change of base theorem to find the logarithm log 21 Use the change of base theorem to rewrite the given expression in terms of natural logarithms or common logarithms log 21 log Do not evaluate Do not simplify Evaluate the expression log 21 log21 Simplify your answer Do not round until the final answer Then round to four decimal places as needed

Let f x 7x 18 and let g x 13x 1 Find f g 7

Given f x Inx evaluate a f e4 b f eln 5 c f e6 In 5 a f e4 4 Type an exact ans b f eln 5 Type an exact ans

log 25 log25 0 Simplify your answer Do not round until the final answer Then round to four decimal places as needed

Find the solution to the following lhcc recurrence an 34an 1 an 289an 2 for n 3 with initial conditions a 204 a2 3468

A a da a b ve a b i lemlerinin modellemeleri verilmi tir a b a b k Buna g re pozitif tam say lar k mesinde X m a la b ve PLO 6 m b y X ifadelerini sa layan m nin alabilece i ka farkl de er va DIA

Use the parent function f x log z and transformation techniques to graph h z log x 6 2 Also indicate which transformation s is are applied Determine the domain range and vertical asymptote of h Select all transformations that apply Horizontally compress the graph of f by a factor of 6 Reflect the graph of f about the z axis Shift the graph of f 6 units to the left Shift the graph of f 2 units up Vertically compress the graph of f by a factor of 2 Vertically stretch the graph of f by a factor of 2 Reflect the graph of f about the y axis Shift the graph of f 6 units to the right Shift the graph of f 2 units down Horizontally stretch the graph of f by a factor of 6

a Expand and factor the expression z x 2 24 Enter the factored form below help formulas b Solve the equation z x 2 24 If there is more than one correct answer enter your answers as a comma separated list If there are no ans enter NONE help numbers

Find the area of the triangle below Area 30 1 a 6 2 b 8 ab sin 30

If 0 is an acute angle and sin0 y express the other five trigonometric values As a function of y sin cos 0 1

of the pool OA S that is 4 m deep and full of water has a viewing window on one of its vertical walls Find the force on a window that is a circle with a radius of 1 5 m tangent to the bottom Using the center of the window as the origin find the width function w y for each value of y on the face of the window w y 2 2 25 Set up the integral that should be used to find the total force on the window Use the center of the window as the origin 0 0 with the y axis passing through the left side of the window Use increasing limits of integration Select the correct choice below and fill in the answer boxes to complete your choice Type exact answers OB dx dy

Graph the function and determine whether the function is one to one using the horizontal line test f x 9 x Graph the function f x 9 x Use the graphing tool to graph the function Click to enlarge graph 10

Use the graph to identify zeros and multiplicity Order your zeros from least to greatest 6 5 4 3 Zero at Zero at Zero at Zero at 6 5 4 3 2 1 H 3 4 5 6 2 3 4 5 6 with multiplicity with multiplicity with multiplicity with multiplicity

Convert the Cartes in coordinate 6 4 to polar coordinates 0 0 2 r Preview

What are the steps for solving the equation log 4x 2 2 An exponential equation equivalent to log 4x 2 2 is Select Simplifying the side with the exponent gives Select The solution is x Select

deltamath com The function f x log x 3 4 is graphed below Plot all lattice points of the inverse Use the labeled points as your guide 10 9 8 Draw Graph Click on the graph to plot a point Click a point to delete it 10 9 8 7 6 5 4 3 2 7 6 5 4 3 2 1 2 3 4 5 6 7 8 9 10 Reset 1 2 3 4 5 6 7 8 9 10

a Find the decibel rating of a sound d 10 log having intensity 1 000 000l where lo is the initial intensi lo b If the intensity of a sound is tripled by how much is the decibel rating increased a Find the decibel rating of a sound having intensity 1 000 000 where lo is the initial intensity The decibel rating of this sound is

Use the change of base theorem to find the logarithm log 83 Use the change of base theorem to rewrite the given expression in terms of n log 83 Do not evaluate Do not simplify

1 The magnitude of an earthquake measured on the Richter scale is log 107 where is the amplitude registered on a seismograph 100 km from the epicenter of the earthquake and lo is 10 10 the amplitude of a certain small size Find the Richter scale rating for an amplitude of 100 000 000 The magnitude R measured on the Richter scale is

Given f x In x evaluate a f e4 b f eln 5 c f e6 In 5 a 1 4 Type an

Find the value In 88 In 25 In 88 In 25

Find the value 16 In ve 16 e 0 In Ve Simplify your answer Type an integer or a fra

Find the value log 542 log 391 log 542 log 391 Round to four decimal places as needed

Find the value 1 In 2 In 2 e

Use a calculator to find approximations a log 347 3 b log 34 73 of the common logarithms c log 3 473 a log 347 3 Simplify your answer Round to four decimal places as needed

Find the exact value log 0 0001 log 0 0001

Find the exact value log 10 5 10 5 I 10

10 a 5 points Solve for x and round the answer to the nearest tenth 5 11 b 5 points Evaluate the logarithm without using a calculator log4 32

Two forces act at a point in the plane The angle between the two forces is given Find the magnitude of the resultant force forces of 310 and 249 newtons forming an angle of 67 The magnitude of the resultant force is Round to the nearest newton as needed newtons

10 Given find sin O B tan 0 2 3 where T 2 T and csc 2 where 0 TC 2

Distinguishing accuracy and precision Four research teams measured the speed at which signals travel down a certain type of nerve fiber and what each team wrote in its team notebook is shown in the table below Suppose a later and more reliable measurement gives 75 0 m s for the signal speed in the same type of nerve fiber Decide which of the earlier measurements was the most accurate and which was the most precise team A B C D what was written in the notebook 70 0m s 65 0m s 0 5m s 85 m s 6 0 between 70 0m s and 75 0m s Alexi most accurate measurement most precise measurement

11 21 11 21 B 2 A 21 12 D E 21

26 x x x 5 x A 5 B 10 5 2 C 15 5 3 D 20 5 4 E 30

1 point The figure 6 4 y 6 4 2 EN 2 X 4 shows the graph of the function

9 8 7 5 4 3 2 1 9 8 7 6 5 4 3 2 1 H 2 n 5 6 on 9 A X 1 2 3 4 5 6 7 8 9 Write an equation for the ellipse graphed in standard form

Factor out the greatest common factor from the polynomial 2k m4 4k8m4 10k m5 2k m 4k8m4 10k m5 Simplify your answer

The graph of a circle with equation x 3 y 2 9 is shown y 764 3 2 OP 234 5 56 7 234567 If this circle is dilated by a factor of 2 what will the equation of the new circle b O A x 3 y 2 18 O B x 3 y 2 36 OC x 6 y 4 18 x OD x 6 y 4 36

3 A stereo system loses its value each month after it is purchased Its value as a function of time in months is modelled by V 1 1500 0 90 a Sketch the graph of the function b Determine the i Domain ii Range c What is the value of the stereo system after 3 months

Rationalize the denominator Assume that the variable is positive 7 98y 7 www

Rationalize the denominator 15 60 15

Rationalize the denominator Assume that the variable is positive 5 2x 5

Rationalize the denominator 7 7 7 7 7 7 7 7 Simplify your answer Use integers or fractions for any numbers in th

Rationalize the denominator Assume all variables are positive 5 7 5 m n4 7 3 4 11

Rationalize the denominator 3 8 2 3 3 5 2 3 8 2 3 3 5 2

Rationalize the denominator Assume that the variable is positive 5 2x 3

Rationalize the denominator Assume that the variable is positive 15 n

Rationalize the denominator Assume that the variable is positive 63

Click here to watch the video Rationalize the denominator Simplify if possible 4 3 1 4 3 1

Rationalize the denominator and simplify Assume that all variables represent positive real numbers 5 10x 5 10x