Math - Others Questions

One side of a triangle is increasing at a rate of 4 cm s and a second side is decreasing at a rate of 2 cays If the area of the triangle remains constant at what rate does the angle between the sid change when the first side is 28 cm long the second side is 34 cm and the angle is a 47 Round your answer to three decimal places rad s

Solve the equation 2x 2 y 2xy 20 0 Solve the differential equation y 4y 3y e 3x x 1 Solve the equation x d 2y dx 2 2 dy dx 2 dy dx

Find the orthogonal trajectories of each given family Also sketch several members of each family 1 y e x c 2 y ce x A tank originally contains 200 liters of fresh water i e contains 0 grams of salt Then water containing 1 2 grams of salt per liter is pumped into the tank at a rate of 2 liters per minute and the well stirred mixture leaves the tank at the same rate Find the amount of salt in the tank at time t after the process started

Find the general solution of t 2 y 4ty 6y t 7 t 0 given that y1 t 3 Find the general solution to xy 4x 1 y 4x 2 y 0 x 0 given that y1 e 3x is a solution Solve the differential equation x 2 y 6xy 10y 0

What type equation is y q x y r x y f x Show that yp e 2x is a particular solution to y 2y 3y 5e 2x and find the solution to the IVP y 2y 3y 5e 2x y 0 5 y 0 2 Find the general solution of the given equations a y 4y 5y 5x 1 b y 00 y 0 x 2 2x 1

Solve x In x y y 2 In x using integrating factors Solve Bernoulli Equation y 3 x y x 2 y 2 X 0 Solve homogeneous equation x 2 y xy y 2

Solve y y 2y 0 Solve 2y 4y 2y 0 Solve v 9v 0

Verify that the given function is a solution of the differential equation 1 1 c xy y x I 1 y 2 y ce 1 y 2xy x 3 y x c sin x c sin x 4x 8 x y xy x 1 y y 4x 8x 3x

Fresno Industries Inc manufactures and sells high quality camping tents The company began operations on January 1 and operated at 100 of capac 150 000 units during the first month creating an ending inventory of 20 000 units During February the company produced 130 000 units during the month but sold 150 000 units at 500 per unit The February manufacturing costs and selling and administrative expenses were as follows Manufacturing costs in February 1 beginning inventory Variable Fixed Total Manufacturing costs in February Variable Fixed Total Selling and administrative expenses in February Variable Fixed ESIKA Total Sales Cost of goods sold Beginning inventory Cost of goods manufactured Total cost of goods sold Number of Units Operating income 20 000 275 00 20 000 26 00 301 00 Unit Cost 130 000 275 00 130 000 Gross profit Selling and administrative expenses Operating income a 30 00 150 000 20 00 150 000 1 30 Sales Variable cost of goods sold Manufacturing margin Variable selling and administrative expenses Contribution margin Fixed costs Fixed manufacturing costs V Fixed selling and administrative expenses Total fixed costs 305 00 Fresno Industries Inc Absorption Costing Income Statement For the Month Ended February 28 Total Cost 5 500 000 520 000 6 020 000 35 750 000 3 900 000 39 650 000 3 000 000 195 000 21 30 3 195 000 b Prepare an income statement according to the variable costing concept for the month ending February 28 Fresno Industries Inc Variable Costing Income Statement For the Month Ended February 28 00

Fixed selling and administrative expenses Prepare an income statement according to the absorption costing concept Gallatin County Motors Inc Absorption Costing Income Statement For the Month Ended July 31 Enst at goods sold Gross proft C Selling and administrative expensex peral Check My Work Assignment Score 69 79 6 PM Fri Jul 14 D Chapter 21 AA CengageNO Chapter 21 Homework 25 000 2 000 000 Sales Variable cost of goods sold Editor Easy 85 000 All work saved v2 cengagenow com HyperWrite b Prepare an income statement according to the variable costing concept Gallatin County Motors Inc Variable Costing Income Statement For the Month Ended July 31 HyperWrite Previous Save and Exit Submit Assignme G Hol

8 What is the area of the two dimensional figure that is formed when a perpendicular slice is taken from the figure 16

30 gal y s 11 25 5 alatz 3 x 12 13 30 ta y s sat 4 25 30 13 12 lata y s sat galata y s sat galata alatt 3x 2 ss gal galata y s sat galata y s sat gal

3 A 1200 investment earns interest at a rate of 4 32 per annum compounded monthly Another investment of 1800 earns interest at a rate of 3 7 per annum compounded semi annually How long if ever will it take for the lower initial investment to be worth more than the higher one 3

Find the right part of the identity tan cot O sin e O sin cos 8 O sec 9 O cs A CSC

Find csc if cot 9 csc 0 1 3 O csc 8 3 O csc 8 3 5 O csc 8 3 9 4 3 and sin 0 csc 8 3

Find the remaining trigonometric functions of if csc 29 20 sin 8 cot 04 21 29 sin 8 cot 9 sin cot sin cot 9 20 21 cos 8 20 tan 21 29 sin 20 21 21 20 21 29 cos 20 29 20 21 21 20 cot sec 8 cos sec 8 sec 8 sec 8 20 29 29 21 cos 9 2010 20 29 Cos 8 29 21 20 29 21 29 29 21 21 29 sec 8 tan 8 21 29 tan tan 8 tan 223 29 21 21 20 200 21 21 20 20 21 and cos 0

Write the following in terms of sine and cose and then simplify if possible CSC9 cot 8 O 1 cos e sin 8 1 sin e 1 cos e cos 8

Suppose ABC is a right triangle with C 90 If a 5 and b 12 find c O c 13 O c 11 O c 17 O c 7 O c 16

Find the remaining sides of a 45 45 90 triangle if the longest side is 8 O 3 3 3 3 O 10 2 10 2 04 2 4 2 09 2 9 2

There is an angle in standard position whose terminal side contains the point 2 5 Find the distance from the origin to this point O 17 23 O 29 O 10 O 12

Find A if B 30 and 8 100 O A 40 O A 50 O A 60 A Remember The sum of the three angles in any triangle is always 180 OA 80 A 70 D B

0 5T Y sine cose W tane 4T O sine cose tane csc A sec cote CSC sece T cote

Find the range for the group of data items 11 11 16 16 21 21 The range is

Find the standard deviation for the group of data items 17 18 19 19 20 21 The standard deviation is 1 15 Simplify your answer Round to two decimal places as needed

Find the standard deviation for the group of data items 15 11 15 11 15 11 15 11 The standard deviation is Round to two decimal places as needed

A network device s MAC address OA is the same as an IP address B is shared by all other devices within that network C often changes over the course of the device s lifetime D is assigned to that device at the time it is manufacturec

The weights to the nearest five pounds of 36 randomly selected male college students are organized in the histogram Use the graph to find the modal weight Number of Students frequency Weight of 36 Male College Students 130 135 140 145 150 155 160 165 170 175 180 185 Weight pounds Select the correct choice below and if necessary fill in the answer box to complete your choice O A The modal weight is pounds Use a comma to separate answers as needed B There is no modal weight for the given data Q

The weights to the nearest five pounds of 34 randomly selected male college students are organized in the histogram Use the graph to find i the mean weight The mean weight is pounds Round to the nearest thousandth as needed fouanbay squapros to earn 10 Weight of 34 Male College Students 115 120 125 130 135 140 145 150 155 160 165 170 Weight pounds

Find the median for the data items in the given frequency distribution 1 3 5 1 3 5 Score x Frequency f 2 3 The median is Type an integer or a decimal 4 3 6 7 7 5 8 3 9 LO 5 1

Find the mean for the data items in the given frequency distribution Score x Frequency f 1 2 2 5 3 6 4 4 5 6 The mean is Round to 3 decimal places as needed 6 65 5 7 2 8 2

Which of the following are covered by the HIPAA Security Ru All of the above Smartphones Telephone text messaging Computer networks 4

13 Ariel is hosting an underwater party and she s persuaded octopuses and starfish to help her prepare by doing all the painting Each helper uses one paintbrush in each of their limbs be they arms legs or tentacles and only 7 helpers are painting They used a total of 44 little paintbrushes You may assume the starfish are all of the 5 limb variety How many octopuses helped and how many starfish helped

Add using Place Value diagrams 213six 15 six

9 In a recent survey 180 BCC students were asked what they did during a lockdown drill The results were 80 screamed 92 ran 65 called someone 47 screamed and ran 20 screamed and called someone 25 ran and called someone and 17 did all three 10 pts a Draw a Venn Diagram illustrating the survey u 180

7 Write as a single exponent 5 3 6 pts

3 James needs to put a fence around his 20 foot by 30 foot garden If he needs to place a post every 5 feet how many posts does he need

Question 1 Pedro has a tax free savings account TFSA with a balance of 5000 00 Interest is earned at a rate of 4 00 compounded monthly If Pedro contributes 400 00 to the TFSA at the end of every month how long will it take him to save 20 000 00 Show your work 2 marks

If based on a sample size of 900 a political candidate finds that 549 people would vote for him in a two person race what is the 95 confidence interval for his expected proportion of the vote Would he be confident of winning based on this poll 19 A 95 confidence interval for his expected proportion of the vote is 0 5781 0 6419 Use ascending order Round to four decimal places as needed Would he be confident of winning based on this poll He should be confident of winning because the upper limit is are above 50

2 Given the function f x y 2 sin x 8 and a line r t 4 4t i 4tj Find the lateral area above r t from 4 0 to 4 8 and below f x y

Kiara paid off her student loan in 3 years by making payments of 800 at the beginning of every month The interest rate on his loan was 4 40 compounded monthly a Calculate the size of the original loan Round to the nearest cent a Calculate the size of the original loan Round to the nearest cent

2 Using the method of the unit circle find the 6 trigonometric function values for an 5T angle of Draw a diagram and show everything including the reference 6 triangle with sides reference angle etc Circle your answers Leave answers as reduced radicals no decimals

Complete the first two months of an amortization schedule for the fixed rate mortgage Mortgage 111 850 Interest rate 3 75 Term of loan 12 years Complete the first two payments of the amortization schedule below Do not round until the final answer Then round to the nearest cent as needed Payment Total Interest Principal Number Payment Payment Payment Balance of Principal

A 2 Match each graph in the table with the graph of its inverse A B or C Then write an equation for each function K Graph 2 0 2 x 2 Equation 2 0 24 Equation of inverse 2 x Letter of Graph of Inverse y 4 2 0 2 y 4 N 0 N x y 4 2 0 2 2 to x 20 0 2 x

The total purchase price of a new home entertainment system is 14 210 If the down payment is 2500 and the balance is to be financed over 60 months at 7 add on interem what is the monthly payment The monthly payment is S GULD

each graph with its equation Lastly complete the table K a f x 2 x int y int Domain Range Asymptote f x 10 9 4 4 3 2 x int y int Domain Range Asymptote 1 10 9 8 7 6 5 4 3 2 4 0 1 2 3 4 5 6 7 8 9 10 2 3 f x OIL 5 8 9 10

8 TI When you drink a cup of coffee or a glass of cola or when you eat a chocolate bar the percent P of caffeine remaining in your bloodstream is related to the elapsed time t in hours by the following equation t logP log 0 5 5 a How long will it take for the amount of caffeine to drop to 20 of the amount consumed b Supposed you drink a cup of coffee at 9 00 am what percent of the caffeine will remain in your body at noon

6 Evaluate using the laws of logarithms APP a log 8 log 27 b log 128 log 8

7 Solve the following equation Round to 2 decimal places where appropriate K a 3 4 x

5 Evaluate without a calculator using the power law of logarithms APP log 32 logi 4 a

4 Rewrite each equation in exponential form K a x login