College Math - Others Questions

What is the axis of symmetry for the quadratic function 2 1 x 2x 12x 1

Differentiate the function s t s t 6t 3 2 4 5

the different strategies verify the following identity 1 sin x CSC X 1 CSC X

Find D 10 40 E G

function The population sizes of many animal species rise and fall over time Suppose that the population size of a certain species can be modeled by the following p t 3390 1190 cos 1 41 In this equation p t represents the total population size and t is the time in years Find the following If necessary round to the nearest hundredth Amplitude of p Period of p years Frequency of pcycles per year X 5

Write the equation of a sine or cosine function to describe the graph KIM 16 2 3 16

Find Vec in the circuit in Fig P2 20 Given the voltage reading on the resistors of V1 4 V V2 9 V and V3 7 V a b ww V2 V1 12 V 3 V V3 ww g 2V f V4 e Figure P2 20 Notes on entering solution Enter your solution in Volts V Enter your solution to 2 decimal places Do not include units in your answer ex 5 V is entered as 5 00 Reminder Vec means that e is the high side and c is the low side

A buoy floating in the sea is bobbing in simple harmonic motion with amplitude 12 in and period 0 1 seconds Its displacement d from sea level at time 0 seconds is 12 in and initially it moves upward Note that upward is the positive direction Give the equation modeling the displacement d as a function of time d 0

An automobile uses two halogen headlights connected as shown in Fig P2 6 Determine the power supplied by the battery if each headlight draws 3A of current Use V 34 V for voltage V Figure P2 6 Notes on entering solution Enter your solution in Watts W Enter your solution to 2 decimal places Do not include units in your answer ex 5 W is entered as 5 00 Give the answer for the power supplied and not the current

A model for a standard two D cell flashlight is shown in Fig P2 5 Find the power dissipated in the lamp Given V1 20 V V2 17 V and R 5Q R lamp V1 V2 Figure P2 5 Notes on entering solution Enter your solution in Watts W Enter your solution to 2 decimal points Do not include units in your answer ex 5 W is entered as 5 00 Give the answer for the power supplied and not the current

Determine the power dissipated in the resistor in Fig P2 1 Given V 3 V and R 70 V 1 ww R Figure P2 1 Notes on entering solution Enter your solution in Watts Enter your solution to 2 decimal points Do not include units in your answer ex 5W is entered as 5 00

A new highly contagious strain of the flu is going around a high school after coming back from winter break The number of students that have contracted the flu doubles each week The number infected follows the model shown below very closely for the first several weeks of school time t is measure in weeks after coming back to school s t 3 2t Which correctly describes one of the parameters of this function There were initially 2 students that were sick There were initially 3 students that were sick There were initially 6 students that were sick There were initially 9 students that were sick

Required information The following information applies to the questions displayed below For 2023 Sherri has a short term loss of 2 870 and a long term loss of 7 200 b How much loss will Sherri carry over to 2024 and what is the character of the loss carryover Long term capital loss

A cook has a recipe for a pasta sauce that calls for 3 4 cup of chopped onions One recip makes enough for six servings Compute the volume of chopped onions that would be required for fifteen servings Hint That means the cook must prepare 15 6 2 1 2 recipes

Assume a tax rate of 6 2 on 142 800 for Social Security and 1 45 for Medicare No one will reach the maximum for FICA Complete the following payroll register Use the percentage method to calculate FIT for this weekly period Use Table 9 1 Note Do not round intermediate calculations and round your final answers to the nearest cent FICA Employee Marital status Gross pay FIT Social Security Medicare Net pay Pat Brown S 2 800 2 349 15 173 60 40 60 237 65

Pat Maninen earns a gross salary of 3 000 each week Assume a rate of 6 2 on 142 800 for Social Security and 1 45 for Medicar a What are Pat s first week s deductions for Social Security and Medicare Note Round your answers to the nearest cent Social Security Medicare Deductions b Will any of Pat s wages be exempt from Social Security and Medicare for the calendar year Note Leave no cells blank be certain to enter O wherever required

If 4000 is invested at an interest rate of 5 25 per year compounded continuously find the value of the investment after the given number of years Round you answers to the nearest cent a 4 years b 8 years c 12 years

Sarah Jones earns 560 per week selling life insurance for Farmer s Insurance plus 4 of sales over 5 750 Sarah s sales this month four weeks are 24 500 How much does Sarah earn this month Note Round your answer to the nearest cent Amount earned

Pat Maninen earns a gross salary of 3 000 each week Assume a rate of 6 2 on 142 800 for Social Security and 1 45 for Medicare a What are Pat s first week s deductions for Social Security and Medicare Note Round your answers to the nearest cent Deductions Social Security Medicare b Will any of Pat s wages be exempt from Social Security and Medicare for the calendar year Note Leave no cells blank be certain to enter O wherever required

Calculate the gross earning Note Round your answer to the nearest cent Number of units Rate per Gross Worker produced unit earning Cruz 975 0 48

Complete the following table Commission Employee McCarthy Total sales rate Draw 288 000 8 8 200 End of month commission received

Robin Hartman earns 565 per week plus 2 of sales over 6 500 Robin s week sales are 10 700 How much does Robin earn Amount named

Consider the curve given by the 2 2 2 2 equation x y 2x 2y x 2 22 Find the equation of the tangent lin at 0 1

2 2 2 t ny t ty y dt 11 x 1 x 1

1 solve for x tan 2 Frank tan cos esc x 1 COS 2X csc x

Solve the logarithmic equation for x Enter your answers as a comma separated list log x log x 48 2x

4 7 4 7 7 9 11 The range is 7 Simplify your answer The standard deviation is Round the final answer to the nearest hundredth as needed Round all intermediate values to the nearest hund as needed

1 2 3 4 5 6 Determine the vertical asymptotes of the graph of the function Give your answers as equations in exact form m x 2 x 5 Separate multiple equations with commas as necessary Select None if applicable Equation s of the vertical asymptote s None 5

After diving 89 m below the sea level a diver rises at a rate of 5 meters per minute for 10 min Where is the diver in relation to the surface The answer is m

Use the distributive law to factor 21c 18d

Simplify 12 412 17 13 14 11 13 10 12 412 17 13 Type an integer or a simplified fractic 14 11 13 10

Find x when 76 x 37 Simplify your answer Type an integer or a fraction

Four less than four times a number The translation is Type an expression using x as the variable

Remove parentheses and simplify 4u 2v 9 4u 3v 4u 2v 9 4u 3v Simplify your answer

Subtract 3 35 1 3 3 5 Simplify your answer Type an integer or a f

Simplify 3 52 19 17 12 9 11 8

After diving 95 m below the sea level a diver rises at a rate of 6 meters per minute for 7 min Where is the diver in relation to the surface The answer is m

Suppose a temperature of 112 F was recorded in Antarctica and a temperature of 123 F was recorded in the Sahara Desert How many degrees warmer is 123 F than 112 F am 123 F is degrees warmer than 112 F

Rewrite the division as a multiplication X 1 y X y Simplify your answe

Jim lost 3 lbs each week for 8 weeks Express his total weight change as an integer Jim s total weight change is lbs Type a negative number with a negative sign or type a positive number with no sign

Find x when 80 39 x Simplify your answer Type an integer or a fraction

Write the equation of a sine or cosine function to describe the graph 3 3 NIW

Multiply 7 10 b 70 7 b 70

Evaluate 16x for x 40 and y 8 y 16x y Simplify your answer

3 Evaluate 3a when a 4 and when a 4 When a 4 3a3 When a 4 3a

For a given location the daily number of sunlight hours fluctuates throughout the year Suppose that the number of sunlight hours is given by the following function D t 12 6 1 cos 2 365 In this equation D t is the number of hours of sunlight in a day and t is the number of days after June 21st Find the following If necessary round to the nearest hundredth Amplitude of D hours of sunlight in a day Maximum number of hours of sunlight in a day Period of D days X

2 Write the sine cosine and tangent ratio of angle 26 24 90 B C 10 to Sin A 24 10 Cos A 26 26 Tan A 24

Write an equation of the form y a sinbx or y a cos bx to describe the graph below AN sino cos

Use vectors to find the interior angles in degrees of the triangle with the given vertices Round your answers to two decimal places 6 0 1 1 0 7 smallest value o largest value 170 54 X

the longest side is 5