Math - Others Questions

Determine whether each statement is true or false If a statement is true give a reason or cite an appropriate statement from the text If a statement is false provide an example that shows the statement is not true in all cases or cite an appropriate statement from the tem a To find the determinant of a triangular matrix add the entries on the main diagonal O True the determinant of a triangular matrix is equal to the order of the matrix which is equal to the sum of the entries in the main diagonal False the determinant of a triangular matrix is equal to the product of the entries in the main diagonal which may not be equal to the sum of the entries in the main diagonal O True the determinant of a triangular matrix is equal to the product of the entries in the main diagonal which is equal to the sum of the entries in the main diagonal O False the determinant of a triangular matrix is equal to the number of nonzero entries in the main diagonal which may not be equal to the sum of the entries in the main diagonal O False the determinant of a triangular matrix is equal to the order of the matrix which may not be equal to the sum of the entries in the main diagonal b To find the determinant of a matrix expand by cofactors in any row or column O False to find the determinant of a matrix expand by cofactors in any row but not in any column O False to find the determinant of a matrix expand by cofactors in only the first column O False to find the determinant of a matrix expand by cofactors in only the first row O True to find the determinant of a matrix expand by cofactors in any row or column False to find the determinant of a matrix expand by cofactors in any column but not in any row X c When expanding by cofactors you need not evaluate the cofactors of zero entries O True in a cofactor expansion each cofactor gets multiplied by the corresponding entry If this entry is zero the product will be zero True in a cofactor expansion each cofactor gets multiplied by the corresponding entry If this entry is zero the product will be one O False in a cofactor expansion each cofactor gets multiplied by the corresponding entry If this entry is zero the product will be zero O True in a cofactor expansion each cofactor gets multiplied by the corresponding entry If this entry is zero the product will be equal to the cofactor O False in a cofactor expansion each cofactor gets multiplied by the corresponding entry If this entry is zero the product will be equal to the cofactor X

3 Graphs of functions y f x are shown Sketch the graph of y If x I by hand on the same axes Domain of Ifl Range of I fl 2 2 X

A large building shaped like a box is 60 m high with a face that is 70 m wide A strong wind blows directly at the face of the building exerting a pressure of 170 N m at the ground and increasing with height according to P y 170 2y where y is the height above the ground Calculate the total force on the building which is a measure of the resistance that must be included in the design of the building Find the width function w y for each value of y on the face of the building w y Use integers or decimals for any numbers in the equation CHIB

2 Use the graph of y f x to sketch a graph of each function a y f x f x I

5 Solve using the picture on the right a f x g x b f x g x f x x 7 5 15 14 13 12 11 10 9 8 7 6 5 10 3 g x 4

8 Give the Instructions for preparing a two fold serial dilution of serum using 0 5 mL serum and 0 5 mL saline in each of five numbered tubes

Determine the area of the shaded region in square units y 5 5 54 4 5 4 3 5 3 2 5 2 1 5 1 0 5 1 square units 2 3 4 5 6 7 X

1 The figure shows a transformation of the graph of y x Write the equation of the graph Then find the domain and range of the function on the left 0 5 104 Equation D R

Solve the following application involving the area of a rectangle What is the height of the figure shown 23 6 units h units A 221 84 square units

Fun Park charges an entry fee of 2 for any family with less than 5 members The park charges 3 less than the number of family members for the entry of any family with 5 or more members Write a piecewise equation for this situation 5 f x 3 7 5 f x 2 f x f x m x 3 x 5 5 52 0 x 4 22 0 x 2 x 5 x 3 0 x 5 x 3 x 5

The figure to the right shows the shape and dimensions of a small dam Assuming the water level is at the top of the dam find the total force on the face of the dam Use 1000 kg m for the density of water and 9 8 m s for the acceleration due to gravity 3 OA W y y 9 12m Find the width function w y for each value of y on the face of the dam Place the origin at the center of the base of the dam with the y axis going in the vertical direction and the x axis going in the horizontal direction Choose the correct answer below OB w y 18y 2 OC w y y 9 OD w y 81y 6 m 9m

The figure shows the shape and dimension of a small dam Assuming the water level is at the top of the dam and that the shape of the dam is an isosceles triangle find the total force on the face of the dam Use 1000 kg m for the density of water and 9 8 m s for the acceleration due to gravity 4 OA W y 27 CITR 2 O c w y 27Y Find the width function w y for each value of y on the face of the dam Place the origin at the vertex at the bottom of the dam with the y axis extending up in the vertical direction to the center of the the dam and the x axis going in the horizontal direction Choose the correct answer 27 O B w y y 4 m 27 OD W y Y 27 m

Consider the following scenario From 1990 to 1999 the amount spent to purchase a car exported to a particular country increased at a rate of 1 870 each successive year The increase in amount spent to purchase a car exported to this country from 1990 to 1999 can be represented by the rate function 1 87 f x 10 0 x 9 otherwise where x represents the number of years since 1990 and f x represents the rate of change in the amount spent to purchase a car exported to this country in thousands of dollars per year Calculate the area under f x on the interval 4 x 7 Interpret the result The area under f x on the interval 4 x 7 describes the amount spent to purchase a car exported to this country in thousands of dollars in 1997 The area under f x on the interval 4 x 7 describes the total increase in the rate of change of the amount spent to purchase a car exported to this country in thousands of dollars between 1994 to 1997 The area under f x on the interval 4 x 7 describes the rate of change of the amount spent to purchase a car exported to this country in thousands of dollars in 1997 The area under f x on the interval 4 x 7 describes the total increase in the amount spent to purchase a car exported to this country in thousands of dollars between 1994 to 1997

Determine the area in square units under the constant function on the indicated interval 2 6 0 square units Graph the result 6 5 4 3 2 1 5 4 3 2 f x 1 1 1 2 1 x 8 otherwise 10 3 4 5 on the interval 1 5 x 4 2 T 6 4 7 L 2 3 4 5 6 7 I 8 I 8 X 6 5 4 3 2 1 5 4 3 2 1 1 4 2 3 1 2 3 4 5 10 6 7 8 4 5 6 7 8 X X

Determine the area in square units under the constant function on the indicated interval 1 4 0 square units Graph the result y 2 1 5 0 5 2 1 5 1 0 5 f x 2 4 6 2 4 6 00 4 x 17 otherwise for x 6 7 10 12 14 16 18 20 8 10 12 14 16 18 20 X 2 1 5 1 0 5 2 1 5 1 0 5 2 4 2 4 6 6 8 10 12 14 16 18 20 8 10 12 14 16 18 20 X X

Determine the area in square units under the constant function on the indicated interval 1 2 Graph the result y 31 8 14 111 212 318 14 118 0 x 8 0 otherwise P x 81 square units 12 3 1 2 3 4 4 5 12 on the interval 2 x 7 6 7 8 6 7 8 HIN 318 111 118 HIN 1 318 4 11 00 2 3 4 2 3 4 4 10 5 in 5 10 6 4 6 78 7 8

Determine the area of the shaded region in square units 3 5 3 2 5 2 1 5 1 0 5 2 square units 4 68 10 12 14 16 X

Determine the area of the shaded region in square units 4 5 4 3 5 3 2 5 2 1 5 1 0 5 1 square units 2 3 4 5 67

Solve the following application involving the area of a rectangle What is the length of the base of the figure A 28 56 square units b unite 11 9 units

of 45 miles per hour For a standard office building suppose that the elevators reach an average speed that is given by m in the equation Solve for m m 3 Need He Interpret the result This is the Select speed in miles per hour of an elevator in a standard office building Submit Ans 0 Points Y NOTES Suppose tha by x in the Solve for x x Interpret th This is the Tapidly 25 6 m 3 7 Need He Select average minimum maximum our in a quarter mile give

6 How would 1 L of a 10 solution of chlorine bleach be prepared

Your dog groomer charges 0 30 per pound plus a 20 appointment fee for any dog that weighs less than or equal to 40 pounds For any additional weight over 40 pounds your groomer charges 0 40 per pound 3x 20 f x 0 x 40 x 40 Find the missing piece for the piecewise function that describes this scenario 4x 20 O 4 x 40 32 4x 4x 32

13 Give instructions for preparing 500 mL of a 0 5 M solution of Mg OH FW 58

12 If 0 5 mL of serum is added to 4 5 mL of saline what is the dilution

The graph of y f x gives the speed limit y along a country road after traveling x miles a What are the highest and lowest speed limits along this stretch of road b Estimate the miles of road with a speed limit of 50 mph c Evaluate f 4 and f 8 a What are the maximum and minimum speed limits along this stretch of highway Maximum mph Minimum mph Type integers or decimals Speed Limit in mph Ay 80 70 60 50 40 30 20 10 0 0 O 4 12 8 Distance in miles 16 20

Without dental insurance the average cost in dollars of having Invisalign dental braces is given by m in the equation 5 381 20 m 210 1 28 Solve for m Interpret the result This is the Select cost in dollars of having Invisalign braces Select average maximum exact

Suppose that the average score on the Scholastic Aptitude Test now known simply as the SAT in a particular year can be determined by solving the equation 649 2 m 1 96 380 Solve for m m Interpret the result This is the Select score on the SAT for this particular year Need He Submit Ans 0 Points NOTES Solve the ed Select exact

Use this table to compute the percent error when writing 15 in decimal form Round your answer to two decimal places 32

On average the radius of the Earth is about 6 371 000 meters Use this table to convert this distance to megameters Writ your answer in standard notation Mm

Use this table to convert 13 494 millimeters to fraction inches in

A standard definition SD movie typically uses about 1 500 000 000 bytes of storage space Use this table to convert this numbe to megabytes Write your answer using standard notation megabytes

Use this table to convert 0 781 decimal inch to fraction inches

Find the area of the shaded region in square units 11 10 9 006 8 7 6 5 4 3 2 1 1 square units f x 10 2x 2 3 4 5 6

Find the area of the shaded region in square units y 6 5 4 3 2 1 f x x 1 square units 2 3 4 5 6 X

Use the formula A nd for the surface area A of a sphere whose diameter measures d This formula yields the surface area in square units The Hoberman Sphere is a mechanical toy that expands from 5 9 inches in diameter when it is fully closed to 30 1 inches diameter when fully expanded What is the difference in the surface area of a Hoberman sphere from when it is fully clos when it is fully expanded in in Round the result to three decimal places

Determine the area of the shaded region in square units 3 5 39 2 5 2 1 5 1 0 5 1 square units 2 3 4 5 1 6 7

Use the table to express the following Babylonian numeral as a Hindu Arabic numeral V V V V V vvv V V V V v 0 points Babylonian numerals Hindu Arabic numerals Points 0 of V 1 10

8 4 580

12 5 5

Cash Accounts Receivable Supplies Land Office Equipment Accumulated Depreciation Accounts Payable Salaries Payable Common Stock Retained Earnings Dividends Fees Earned Salary Expense Supplies Expense Depreciation Expense Miscellaneous Expense 11 370 27 080 2 870 23 020 21 660 3 520 19 770 2 170 111 460 3 010 7 310 9 100 18 520 73 520 111 460 350 2 410 1 440 4 200 2 410 1 440 350 4 200 11 370 27 080 460 23 020 21 660 3 520 20 120 2 410 1 440 2 170 113 250 4 450 7 310 350 9 100 18 520 73 520 113 250

2 246

7 4 888

10 5 77

3 2 644

10 5 77

2 2 402

Use expansion by cofactors to find the determinant of the matrix 44005 0 1 2 3 7 00254 00366 00005

The scatter plot shows the time spent studying compared to test scores for Mr Stone s eighth grade class Predict th score that a student would earn if she studied for 7 hours Round your answer to the nearest whole number Enter your answer in the box Test Scores 90 80 70 60 50 0 Ay 0 2 4 6 8 10 Time Spent Studying h

Find the determinant of the triangular matrix 3 0 7 5 3 6 2 0 0

Use expansion by cofactors to find the determinant of the matrix 31 4 23 2 3 0 1