Questions

Evaluate the logarithmic expression by using the properties of logarithm 1 A log5 54 B logs 125 C log55 1 D logs 125 E logs 5 F 5logs 4

Find the area of the region between the graphs of y 12 2 and y 7x 4 ove the interval 6 x 5 The area is

A University works with community groups to organize volunteer opportunities for students A researcher suspects that some faculties are overrepresented with regards to the number of volunteers they yield The researcher would like to determine whether she has statistical evidence that warrants rejecting the null hypothesis that the faculties at her university yield equal numbers of volunteers Using the observed values in the table below by hand i determine the expected frequencies and calculate x and ii calculate the degrees of freedom Show all your work Health Sciences Education Humanities Math Science Social Science

Express using a negative exponent Z Type exponential notation with negative exponents Z 9

The area of the region between the graph of y 2 7x 30 and the x axis is

Simplify mh er 3 m h x3 15 xf5 9 3 mh Simplify your answer Use positive exponents only

now bout Exponents Simplify lestion 20 4n5 4n5 6 Simplify your answer Use positive exponents only

Type your answer using exponential notation Use positive exponents only N Divide and simplify 28 28 24

Multiply and simplify 7v 7v 7v 7v Type exponential notation with positive exponents

Compute by hand the i Pearson correlation and corresponding ii degrees of freedom for the data below Show all your work please X Y 2 3 3 4 4 5 2

Simplify Assume a b 0 ab 4 Choose the simplified form of ab 4 OA 1 a4b 4 OC ab 4

Simplify w 5 8 1 w 5 8 Simplify your answer Type exponential notation using positive exponents

The average discharge at the mouth of the Amazon River is 4 700 000 cubic feet per second How much water is discharged from the Amazon River in one hour in one year ft3 of water is discharged in one hour Round to the nearest thousandth as needed Use scientific notation Use the multiplication symbol in the math palette as needed ft3 of water is discharged in one year assuming it is not a leap year Round to the nearest thousandth as needed Use scientific notation Use the multiplication symbol in the math palette as needed

Multiply Write the result using scientific notation 5 9x107 6 9 103 5 9 107 6 9 103 Simplify your answer Use scientific notation Use the multiplication symbol in the math palette as needed

Express using a positive exponent h 2 h 2 Simplify your answer Type a positive exponent

Divide and write the result using scientific notation 4 5 103 1 8 105 4 5 103 1 8 10 5 Simplify your answer Use scientific notation Use the multiplication symbol in the math palette as needed

A Developmental Psychologist would like to determine whether there is a relationship between verbal skills and math skills in secondary school students A sample of 200 students is obtained and each student is given a standardized English test and a standardized math test Based on the test results students are classified as high or low performers for verbal skills and for math skills The sample data observed frequency counts are summarized in the table below 2 By hand i determine the expected frequencies and calculate x and ii calculate the degrees of freedom Show all your work please Verbal Skills High Low High Math 59 41

Find the average value of the function f x x 5 from x 0 to x 3 Set up the integral that is used to find the average value Write all constant factors associated with the endpoints outside of the integra dx 0

Solve for x 23 63 50 7 50 1 60 7 X

Find the radius of convergence of the power series If needed enter INF for oo 20x

1 Determine the average value of f x over the interval from x a to x b where f x a and b 11 11 The average value is Type an exact answer

Determine the phase angle by which v1 t leads i2 t where v1 t 4 sin 377t 21 V i2 t 0 1 sin 377t 79 A Notes on entering solution Enter your solution with respect to V leads i by Enter your solution in degrees Do not include units in your answer Make sure your final answer is between 180deg and 180deg ex 5 is entered as 5

Find the volume of the solid formed by rotating the region enclosed by about the y axis Volume I y e 5 y 0 x 0 x 0 8

5 54 4 3 2 What is the domain of the function on the graph O all real numbers all real numbers greater than or equal to 0 all real numbers greater than or equal to 2 all real numbers greater than or equal to 3 5 4 3 1 2 3 4 5 x 23 3 4 5

d the value of each variable nesn srl 300 11 X

Given the following voltage and current i t 5 sin 377t 48 A u t 10 cos 377t 52 V Determine the phase relationship between i t and u t Notes on entering solution Enter your solution with respect to V leads i by Enter your solution in degree Do not include units in your answer ex 5 is entered as 5

The length of Terry s fish is millimeters X e Terry caught a two year old flounder whose length had a z score of 0 6 How long was this fish Round the answer to at least one decima place G

Calculate the current across the capacitor shown in Fig P8 6 if the voltage input is v2 t 22 sin 159t 245 V i t v t C 1 F Figure P8 6 For a current i t C cos wt P enter the value of the phase angle P be sure that your answer is between 180deg to 180deg Notes on entering solution Enter your solution in degree Have your current in cosine format Do not include units in your answer ex 5 is entered as 5

Find the volume of the solid whose base is the region bounded by y x y 1 and the y axis and whose cross sections perpendicular to the y axis are equilateral triangles 3 3 Volume

First among asexually reproducing species what main mechanism produces genetic changes from one generation to the next and how does this mechanism do so Next describe in detail three main mechanisms that produce genetic diversity among sexually reproducing species placing emphasis on how two mechanisms in meiosis do so Lastly most eukaryotic organisms reproduce sexually What is a survival benefit s of this mode of reproduction

With a mortgage of 48 000 for 15 years with a rate of 8 what are the total finance charges O 34 567 80 5 023 68 545 76 54 576 None of the

With a mortgage of 48 000 for 15 years with a rate of 8 what are the total finance charges 34 567 80 5 023 68 545 76 54 576 None of these

Consider the power series to x The interval of convergence goes from x The radius of convergence is R If needed enter INF for co and INF for IM8 n 1 x 4 n 10

Suppose that 4x 8 x Cnx n 0 Find the first few coefficients Co C C2 C3 C4 Find the radius of convergence R of the power series R

Find the first five non zero terms of power series representation centered at x 0 for the function below Answer f x 0 0 0 0 0 What is the interval of convergence f x x2 1 2x

Find the radius of convergence of the power series If needed enter INF for oo and INF for 0 iM8 1 x 16 4n6

In physics lab Ellie attaches a wireless sensor to one of the spokes of a bicycle w spinning freely on its axle The graph below shows the sensor s height above the ground in centimeters over time t measured in seconds 50 2 75 48 11 75 48 4 P Sensor s height in cm 20 20 20 7 25 38 16 25 38 01 10 11 12 13 14 15 16 1S Time in seconds

10 5 y 10 5 5 5 10 X

Consider the function arctan 2 15 Write a partial sum for the power series which represents this function consisting of the first 5 nonzero terms For example if the series were 32 you would write 1 3x 32x4 336 348 Also indicate the radius of convergence 80 n 0 Partial Sum Radius of Convergence

Find the value of each variable Express in simplest radical form 8 X 6 5

The function f x 5 1 8 2 is represented as a power series f x cnx n 0 Find the first few coefficients in the power series Co C C C3 C4 Find the radius of convergence R of the series

Consider the series The interval of convergence goes from x The Radius of convergence is R If needed enter INF for co and INF for to x IM8 n 1 5 x n 1 n 3

Find the radius of convergence of the power series If needed enter INF for co and INF for o Radius of convergence is

Tiffany purchased a 10 000 13 week Treasury bill that is paying 2 25 What is the effective rate on this T bill 2 2 2 7 2 26 2 0 None of these

With a mortgage of 48 000 for 15 years with a rate of 8 what are the total finance charges 34 567 80 5 023 68 545 76 54 576

On March 12 Bill Jones accepted a 12 000 note in granting a time extension of a bill for goods purchased by Ron Prentice Terms of the note were 13 for 90 days On April 24 Bill could no longer wait for the money and discounted the note at Able Bank at a discount rate of 14 The proceeds to Bill is O 12 047 90 12 163 54 12 390 00 12 048 90

For f x x 5 and g x 2x 3 find the following functions a fog x b go f x c fog 1 d go f 1 a fog x Simplify your answer

Find the value of each variable Express in simplest radical for 5 14 X ly

The graph below shows a transformation of y 2 7 6 5 4 3 2 1 5 4 3 2 1 t 2 3 4 5 6 Write an equation of the form y a 2 c for the graph above f x

Find the value of each variable Express in simplest radical form 1 30 60 30 X y