Algebra Questions

Determine the angle x in the triangle given below with AB 7 and BC 12 Hint Use the Law of Sines along with a double angle formula a x arccos 2 x arcsin 24 b x arccos 6 d x 2 arccos 6 e Ox arcsin 7 12 c None of the above A B 2x X

Establish the identity csc u sinu sin u cos u Write the left side term csc u in term of sin u 2 sin oi

19 1 point Your phone plan charges you an initial fee and then a certain amount depending on the amount of data you use They send you periodic updates of your usage and your current bill cost After using 3 GB of data you owe 30 After 5 GB of data you owe 40 What is the initial fee prior to the data usage charge 2 50 15 10 5

1 point Write an equation in slope intercept form of the line containing the points 3 1 and 6 7 y 3a 11 y x 9 y x 7

14 1 point Which of the following equations represent this line O X 1 y x 1 x 1 y 1

18 1 point f You have a bottle of water with a leak After 2 second there are 28 ounces left in the bottle After 6 seconds there are 20 ounces left in the bottle How fast is the bottle losing water 4 ounces per second 3 ounces per second 1 ounce per second 2 ounces per second 0000 Next

16 1 point Which of the following equations represents this line 000 O y 2x 3 y 2x 3 y 2x 3 y 2x 3

13 Calculate the slope of the line that contains the points 2 3 and 6 3 2 3 0 2 3 undefined Previous

11 1 point Calculate the slope of the line graphed below 2 3 2 3 3 2

10 1 point A daycare center charges a 75 enrollment fee plus 100 per week Write a function C for the cost of daycare after a certain number of weeks w C w 75w 100 C w 100w 75 C w 175w C w 100w 75

8 1 point Which of the following relations represents a function O 3 1 1 4 2 1 0 3 1 3 2 3 1 5 2 5 2 1 0 5 1 3 2 0 4 2 4 3 4 5 4 7

Is the relation a function What is the domain and range 2345 24960 8 10 Yes the relation is a function D 1 2 3 4 5 R 4 No the relation is not a function D 1 2 3 4 5 R 2 4 6 8 10 No the relation is not a function D 1 2 3 4 5 R 4 Yes the relation is a function D 4 R 1 2 3 4 5

9 1 point The relation represents a function 3 2 1 3 5 1 1 2 True False

4 1 point Rearrange the equation to isolate h A bh O4 h 2A b h 0 24 h b Ab h

6 1 point Solve the inequality statement 2v 1 7 Ov 4 v 3 Ov 4 v 3

1 point an isosceles triangle there are two sides called legs that are the same length The third side is called the base If an isosceles triangle has perimeter 345 cm and ase length 85 cm what is the length of the each leg 260 cm 130 cm 87 cm 85 cm

3 1 point Five more than three times a number is 197 Find the number O 67 64 38 819 189

10 Factor the expression a 12a b 18a6b 30a b

b 10f 15ef 18f 27e

6 Solve the system a 10r 4t 6 7r 5t 12

3 Using the data provided above calculate the gastrointestinal GI illness attack in persons who ate the combination of prime rib porterhouse steak Then using the data provided above and your previous calculations for this problem which of the food items or combination of food items is are most likely to contain the bacteria or virus causing this Gl illness Explain your choice Total Number of Persons Who Ate Each Specified Combination of Food Items at Ben s Steakhouse Ate prime rib 172 Ate porterhouse steak Did not eat porterhouse steak 418 Did not eat prime rib 231 105 Total Number of Persons Who Ate Each Specified Combination of Food Items at Ben s Steakhouse and Who Later Became Sick with Gastrointestinal Symptoms Ate prime rib Ate porterhouse steak 145 Did not eat porterhouse steak 139 Did not eat prime rib 182 30

5 Consider a class with 100 enrolled students None of the students were ill at the beginning of the school year On September 30 a total of five students reported having norovirus All continued to be ill on October 1 but all five recovered within 3 days On October 14 another three students developed gastroenteritis All of the students continued to be ill on October 15 but all three recovered five days later In this example assume that a person cannot get norovirus more than once a Calculate the prevalence of norovirus in the class on October 1 b Calculate the prevalence of norovirus in the class on October 30 c Calculate the cumulative incidence of norovirus in the class during the month of October

3 Let f XY be a function and C be a non empty family of subsets of Y Let f C f C CEC Show that of C f o C Here C r X f x C

image of the question you are asking about AND what you have tried so far 1 2 pts Solve the equation 5 40 7 Work 1 pt Replace these words with a cropped picture of your work for question 1 Answer 0 5 pt an

B Let y u and y d be the solutions for the equation below What is the value of u d 0 2y 1 8 y

Ryan a consumer electronics salesperson earns a base salary of 1400 per month and a commission of 7 on the amount of sales he makes One month Ryan received 1855 paycheck Find the amount of his sales for the month Ryan had sales of for the month

The perimeter of a college athletic field is 100 meters and the length is 18 m more than the width Find the length and width What is the width 16 m What is the length m

Find the sum of the solutions for f x x 4x 12

2 4 Find the solutions for y x 5x 6 A x 2 3 B x 2 3 C x 1 6 D x 1 6

A lady worked 44 hr one week and earned a 525 paycheck She earns two times and a half 2 5 times her regular hourly wage for the number of hours she works in excess of 40 What is her regular hourly wage Her regular hourly wage is Type an integer or a decimal

A truck enters a highway driving 60 mph A car enters the highway at the same place 10 minutes later and drives 71 mph in the same direction From the time the car enters the highway how long will it take the car to pass the truck The car will pass the truck in Round to the nearest minute minutes

Money is borrowed at 9 simple interest After one year 849 11 pays off the loan How much was originally borrowed The amount of the original loan was www

Schools 7 Which of the following could be an equation for the graph below Select all that apply Then justify your answer lect all that apply A x x 6 B x 5x 6 C x 8x 15 D x 5x 6 E x 6x 8 Explain

To finance her community college education Sarah takes out a loan for 4200 After a year Sarah decides to pay off the interest which is 5 of 4200 How much will she pay Sarah will pay

A trimaran boat with a top speed of 63 knots won the tournament cup in 2010 Its top speed is 7 knots more than 3 5 times the top speed of the winner monohull in the 2007 tournament Find the top speed of the monohull in the 2007 tournament The top speed of the monohull in the 2007 tournament was knots Type an integer or a decimal

10 Which of the following graphs could represent y x 2x 3 Justify your reasoning A C Explain 2 V 1 B T D

In the 2009 2010 school year in country A there were 125 000 foreign students from country B This number is 23 more than the number of students from country C How many foreign students were from country C There were about students from country C Simplify your answer Round to the nearest thousands as needed

Find the x intercepts for the function belo 2p 24p 40

Solve m x x 5x 6

5 Let f x x 4 2x 1 and g x 2x 7x 4 Are f x and g x equivalent Justify your answer

The chart shows a country s annual egg production Model the data in the chart with a linear function using the points 3 63 3 and 5 67 9 Predict egg production in 2010 What is the linear model for the data y 2 3x 56 4 Type an expression in terms of x Round to the nearest tenth What will egg production be in 2010 billion Round to the nearest tenth Year x 1994 0 1995 1 1996 2 1997 3 1998 4 1999 5 2000 6 Egg Production y in billions 59 4 60 3 61 8 63 3 64 8 67 9 69 4

Write an equation for a line passing through the given point that is parallel to the given line Then write a second equation for a line passing through the given point tha perpendicular to the given line 8 7 x 1 The equation of the parallel line is x

Find the slope intercept form of the line passing through 5 25 and 0 5 www The slope intercept form of the line is y Simplify your answer Use integers or fractions for any numbers in the equation Do not factor

Find an equation of the line having the given slope and containing the given point 4 m 5 2 3 The equation of the line is y Type an expression using x as the variable Simplify your answer Use integers or fractions for any numbers in the expressi

Find the slope intercept equation of the line that has the given characteristics Slope 17 13 and y intercept 0 5 The slope intercept equation is Type an equation Type your answer in slope intercept form Use integers or fractions for any numbers in the equation Simplify you

Write an equation for the line shown on the right The equation of the line is y Type an expression using x as the variable Simplify your answer Use integers or fractions for any numbers in the expression

Find the LCM of the following set of numbers 13 12 and 39 The LCM is

7 Write the fractions and as equivalent fractions with the least common denominator 13 7 11

Simplify the fraction to lowest terms 4 10

Write the fraction in lowest terms 62 30 62 30