Inverse Trigonometric functions Questions and Answers

Although the actual amount varies by season and time of day the average volume of water that flows over the falls each second is 4 4 x 105 gallons How much water flows over the falls in an hour Write the result in scientific notation Hint 1 hour equals 3600 seconds gallons of water flows over the falls in an hour Use the multiplication symbol in the math palette as needed

Write the number in standard form Then write the number in scientific notation The wireless subscriber connections in a country at year s end 2015 were 238 8 million The number in standard form is Type a whole number

4 A is a pair of equal ratios O A proportion O B ratio O C decimal O D percent

Problem 2 2 43 Let f be defined as if x irrational f x psin if x in lowest terms At what points is f continuous Please justify your answer

For each problem define a variable write an equati 1 AGE Walter lived 2 years longer than his brother Martin Walter was 79 at the time of his death What was Martin s age at the time of his death 3 GEOMETRY Two angles are supplementary if the sum of their measures is 180 Angles A and B are supplementary If the measure of angle A is 78 find the measure of angle B 180 MLA 78 5 EXERCISE Jasmine jogs 3 miles each day How many days it will take her to jog 57 miles 7 POPULATION The population of a small town is increasing at a rate of 325 people per year How long it will take the population to ncrease by 6 825 2 ROBOTS The smallest robot can travel 20 inches per minute through a pipe How long will it take this robot to travel through 10 feet of pipe 4 WEATHER After the temperature had risen 12 F the temperature was 7 F Find the initial temperature 6 AGE The product of Bart s age and 26 is 338 Find Bart s age 8 POPULATION In 2005 the population of Honduras is the population of Haiti decreased by 832 598 The population of Honduras is 6 823 568 Find the population of Haiti

Factor out the GCF from the polynomial 2 48xy 147x

Find the GCF for the list 3 2 245y 98y

Find a polynomial that represents a the area and b the perimeter of the square a The area is represented by Simplify your answer b The norimotor in Simplify 4x 3

Find polynomials that represent a the area and b the perimeter of the rectangle 5x 7 y 1 a Find the area The area is Simplify your answer Find the perimeter The perimeter is Simplify your answer

An angle 0 determines a rotation over an axis whose direction is determined by a unit vector Find the transformation matrix that matches this rotation if

11 Find the value of 45 0 023 O A 45 023 OB 44 977 OC 43 023 O D 42 977

5 Which one of the following is an example of a repeating decimal O A 0 6666666 OB 6 787878 OC 0 123321 O D 1 234545

Select the best answer for the question 9 A group of employees bought a get well gift for a coworker The gift cost 46 06 If there are 22 employees in the group how much does each employee need to contribute O A 2 09 O B 2 90 O C 1 37 O D 75

For the following exercise evaluate the expression writing the result as a simplified complex number 3 i i 1 3i 3 2i 1 12 Question Help VIDEO Post to forum

Shown to the right is a magic square all rows columns and diagonals sum to the same number Find the value of each letter JE b C TE 5 28 C a 17 d

The 14 digits of a credit card are written in the boxes shown If the sum of any three consecutive digits is 16 what i the value of A A A 3 3 4

Find the sum 37 38 39 40 113 114 The sum is

Mayra owns 100 shares of stock in one company On Tuesday the stock price dropped 13 per share Wh was the total effect on Mayra s portfolio If it was a loss be sure to use the minus sign to indicate the loss dollars

Write the phrase as a mathematical expression The product of 7 less than the profit P and 8

88 5 23 342 0 0049 View Available Hint s

H N CHC OH CH HN 10 Tryptophan is an essential A amide B amino acid OC carboxylic acid D amine 3 that can be found in the genetic code of humans

5 Current is described as OA electricity OB the flow of ions through a substance C moles of electrons OD the flow of electrons through a substance

5 At a fixed volume a four fold increase in the temperature of a gas will lead to OA a two fold decrease OB a four fold decrease OC a four fold increase O D no change in pressure

Graph the following inequality Then write the inequality in interval notation 8 x27 Choose the correct graph below OA 1 OC 1 2 2 3 3 4 4 5 6 5 6 The inequality can be written as Type your answer in interval notation 7 7 8 8 9 9 OB 10 10 1 OD 1 2 2 3 4 5 3 4 5 6 6 7 8 8 9 9

2 Simplify the expression A 6 3 O B 2 3 O 2 6 3 D 2 6 C OD 6 2 3

Find the area of the geometric figure The prop

Some farmers use a circular irrigation method An irrigation arm acts as the radius of an irrigation circle How much land is covered with an irrigation arm of 370 ft The land that is covered with an irrigation arm of 370 ft is Type an exact answer in terms of t

Complete the chart Capacity A system filters about this amount of fluid every minute Cups 36 Gallons Quarts Convert the given quantity of fluid to the other U S units of capacity Capacity Cups Gallons Quarts A system filters about this amount of fluid every minute 36 Pints Pints

Suppose an economy has an inflation In this case the real interest rate is rate of 2 9 and a bank makes a loan with an interest rate of 6 7 Enter your response rounded to one decimal place

Consider an array stored in memory from address 6 6000 int array 4 4 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Suppose the machine implements a fully associative cache only one set bit with a single line of 16 bytes The memory addresses can then be partitioned into 2 tag bits and 4 block offset bits For example the memory address 6 b101100 would be formatted as tag bits 2 b10 and block offset bits 4 b1100 a Version 1 Suppose the array is accessed with for loops below and the cache is cold to start completely empty How many caches misses would each for loop incur int sum 0 for int i 0 i 4 i for int j 0 j 4 j sum array i j to 6 b Version 2 is declared as follows int sum 0 for int j 0 j 4 j for int i 0 i 4 i sum array i j

tadig den Weight g 6 000 6 049 6 050 6 099 6 100 6 149 6 150 6 199 6 200 6 249 6 250 6 299 6 300 6 349 6 350 6 399 Frequency 3 3 8 12 11 4 5 1 dist the weights in grams of pre 1964 quarters Use the frequency distribution to construct a histogram Does the histogram appear to depict data that have a normal distribution Why or why not OA B O C Frequency Frequency Frequency 15 10 5 0 6 15 10 6 1 6 1 6 1 6 2 Weight grams 6 2 Weight grams 6 3 6 3 6 2 6 3 Weight grams 6 4 6 4 6 4 G Q Q a Does the histogram appear to depict data that have a normal distribution OA The histogram appears to depict a normal distribution The frequencies gen increase to a maximum and then decrease and the histogram is roughly symmetric OB The histogram does not appear to depict a normal distribution The frequenc generally decrease to a minimum and then increaso and the histogram is roughly symmetric The histogram does not appear to depict a normal distribution The frequenc

Question 0 3 25 A Let s consider the line L which is implicitly given by the equations x 2 3 1 and additionally the point P 3 4 0 Does there erist a plane M which contains the line L and also the point P If you think there is such a plane then try to find its concrete linear parametrization Is M uniquely determined B Now fix another point R 1 0 1 What is the minimal distance of R to the plane M which you ve just found in Part A of this question

Consider the Heat Equation U a Uzr u x 0 u 0 t u 2 t 0 t 0 0 0 x 1 1 x 2 Give the Sine Series for u x 0 Include the first four nonzero terms h coefficient should be a single reduced fraction Give the solution to the Heat Equation u x t Include the first four nonzero ter coefficient should be a single reduced fraction

Use properties of limits and algebraic methods to find the limit if it exists x 16 lim 4 x 4 Oa 8 Ob 8 c 6 Od 1 6 6

Problem 1 A simply supported beam AB is loaded by a vertical force of 20kN as shown below Assume EI is constant SFD BMD conjugate beam A 5 0m 20 kN C 5 0m B 1 Draw SFD and BMD and sketch conjugate beam of the simply supported beam with the appropriate loadings of the conjugate beam in the space above 10

aces a 30 foot ladder against the side of a building with the bottom of the 138887 24 180117 How high up the wall does the ladder reach er reaches feet up the wall m ACCED THE S 1 24

If p is false q is true and P is true p q q v r Choose the correct answer below OA True because p A q is false and q v r is true OB True because p A q is true and q v r is false OC False because p q is false and q v r is true O D False because p A q is true and q V r is false

Fill in the blanks below with the correct units a Ali has a cellular phone Its mass is about 100 grams b Diane added 6 milliliters of cream to her coffee c Rafael s fingernail is about 12 wide

Suppose that the breaking strength of a rope in pounds is normally distributed with a mean of 100 pounds and a standard deviation of 17 What is the probability that a certain rope will break before being subjected to 150 pounds You may need to use the standard normal distribution table Round your answer to four decimal places

Determine the possible values of 0 ses 2n in each case if possible find exact valu a cos 1 2 b cot 1 7

Jenkins Security has learned that a rival has offered to supply a parking garage with security for ten years for 45 000 up front and a further 15 000 per year If Jenkins Security offers to provide security for eight years for an upfront cost of 70 000 and a separate yearly payment what is the maximum that this yearly payment can be so that Jenkins offer matches the equivalent annual annuity of their rival s offer Assume a cost of capital of 5 8 658

When solving the equation sin x how many solutions are there for x in the interval 0 360 You do not have to actually give the angle s that would be solutions for x just tell how many solutions you would have

Find all solutions for x in the interval 0 360 for the following equation cos x 3

Given the angle 35 find a positive and negative coterminal angle in degrees When entering your answers Don t type the degree symbol just the number no spaces between symbols For example 987 or 765 Find a positive coterminal angle to the given angle A Find a negative coterminal angle to the given angle

Give the reference angle for the following angle 5 24 We assume radians if there is no degree symbol Round to the nearest 2 decimal places

For which quadrant s is sine negative Quadrant 1 Quadrant 2 Quadrant 3 Quadrant 4

Determine the exact value of each trigonometric expression Do not use a calculator Answer choices many be used once more than once or not at all 1000 sin 120 sin 330 sin 240 sin 30 1 2 1 2 4 1 2 3 3 2 3

Find the derivative of the function f x In 8x 9

If the national consumption function is given by C y 6 y 3 2 0 3y 5 where y is the national disposable income find the marginal propensity to consume dC G dC dy

Suppose that the demand function for q units of an appliance priced at p per unit is given by 220 q 1 q 2 Find the rate of change of price with respect to the number of appliances p p