Questions

Teacher 1 Use trigonometric ratios to find the value of each variable Round decimals to the nearest tenth SHOW WORK c a 10 26 A 10 Tan 35 X 10 7 12 2 y X 7 0 Y Cos 35 10 Y YC05 35 10 5 N x 35 y Cos 350 8 b 200 Find the value of angle x Round to the nearest degree SHOW WORK a b 3 0 5 8

Two cards are drawn from a regular deck of 52 cards without replacement What is the probability that the first card is an ace of clubs and the second is black Answer

Suppose that 28 000 from a retirement account is invested in a large cap stock fund After 20 years the value is 86 000 Use the model A Pertto determine the average rate of return under continuous compounding Round to three decimal places Avoid rounding in intermediate steps Your Answer

Solve the equation Round your answer to 3 decimal places e x 2 5 X

Determine the domain and range of the 5 co 2 5 4 2 b 1 1 0 1 2 3 1 N 2 Domain 4 3 Range 5 5 Domain 4 3 Range 5 5 3

Pertor A P 1 nt to solve the following Use the model A Pertor A problem 45 000 is invested at 3 1 compounded monthly How long will it take for the investment to double Round to the nearest tenth of a year

Determine the end behavior of 2 f x 5x x 4 x 2 5 x 3

The equation p 100 000 0 8 represents the population p of migrating butterflies w weeks since they began their migration 5 1 Is the population growing or decaying Explain your thinking 5 2 By what percent is the butterfly population changing each week 5 3 What will the population be after 5 weeks A book sold 600 000 copies the year it was released Each year the number of copies sold decreased by 50 7 1 Write an equation that represents the number of copies c sold t years after the book was released 7 2 Use a graphing calculator to determine the value of c when t 6 Explain what it means in this context The equation A 5 000 1 25 represents the area of a forest in acres A where d is the number of decades since 1950 6 1 is the area of the forest growing or decaying Explain your thinking 6 2 By what percent is the area changing each decade 6 3 What was the forest s area after 4 decades Scientists tracked the population of bees p t in a county for t years They wrote the equation 100 000 0 82 to represent their findings p t 8 1 Describe what each number in the equation represents in this situation 8 2 Calculata p 3 Explain what that means in this context

America s dependency on foreign oil has always been a hot political topic with the amount of imported oil fluctuating over the years due to political climate public awareness the economy and other factors The amount of crude oil imported can be approximated by the function given where x represents the year since 1980 and A x represents the number of barrels imported in billions Give your answer to the nearest hundredth If the hundredths place is a zero please include it A x is listed below 0 044x 2 0 369x 1 5 0 x 8 8 x What was the minimum number of barrels imported between 1980 and 1988 0 072x 2 1 496x 1 5

Are these functions inverses A 177 No 7 I need more information

g x 2 3 d 2 2 x 2 5 10 X

Write and simplify a polynomial with 4 31 and 0 multiplicity 2 as roots Write your answer in standard form

A polynomial of degree 12 may have at most relative extreme values maximums and minimums 12 A roots and at most

Math 110 Course Resources Curve Sketching Course Packet on intervals of increase and decrease Let f x 3 x 8x 36x 5 Find the intervals of increase decrease of f Enter your answer using interval notation If an answer does not exist enter DNE Intervals of increase Intervals of decrease F

Curve Sketching Course Packet on intervals of increase and decrease Let f x 3x 24x 35 Find the intervals of increase decrease of f Enter your answer using interval notation If an answer does not exist enter DNE Intervals of increase Intervals of decrease Submit Answer

Curve Sketching Course Packet on critical points a Consider the function f x 7x 8 7x 1 Enter the number of critical points numbers of f x Determine the x coordinates of the critical points Enter your answer as a comma separated list of values The order of the values does not matter Enter DNE if f x does not have any critical points b Consider the function g x 7x 8 7x 1 Enter the number of critical points numbers of g x Determine the x coordinates of the critical points Enter your answer as a comma separated list of values The order of the values does not matter Enter DNE if g x does not have any critical points

Math 110 Course Resources Curve Sketching Course Packet on critical points Consider the function f x 7x2 8 2 3 Enter the number of critical points numbers of f x Determine the x coordinates of the critical points Enter your answer as a comma separated list of values The order of the values does no Enter DNE if f x does not have any critical points

Curve Sketching Course Packet on critical points 9x 5 x 36 Enter the number of critical points numbers of f x Consider the function f x Determine the x coordinates of the critical points Enter your answer as a comma separated list of values The order of the values does not ma Enter DNE if f x does not have any critical points

3 Water is dripping through the bottom of a conical coffee filter 4 inches across and 6 inches deep Given that the filter loses half a cubic inch of coffee per minute how fast is the level of the liquid dropping when it is 3 inches deep

2 A 19 foot ladder is being pushed up a building at a constant rate of 2 feet per minute How fast is the base of the ladder moving toward the building when the base of the ladder is q feet from the building

1 A stone dropped into a sill pond sends out a circular ripple whose radius increases at a constant rate of 4 ft s How rapidly is the area enclosed by the ripple increasing when the radius is 2 feet

3 20 pts If the triangular block shown below is in static equilibrium calculate the magnitude o forces F and P point 0 0 0 0 F B 300 mm 150 N 400 mm 500 mm F C P 150 N D 600 mm

4 A function f t gives the rate of evaporation of water in liters per hour from a pond where t is measured in f t dt in the context described 10 hours since 12 noon Which of the following gives the meaning of A The total volume of water in liters that evaporated from the pond during the first 10 hours after 12 noon B The total volume of water in liters that evaporated from the pond between 4PM and 10PM C The net change in the rate of evaporation in liters per hour from the pond between 4PM and 10PM D The average rate of evaporation in liters per hour from the pond between 4PM and 10PM E The average rate of of change in the rate of evaporation in liters per hour per hour from the pond between 4PM and 10PM

8 1 point There is a study on exercise and health a group of women who have been exercising regularly for 5 years are grouped and given a wellness exam and compared to a group of women who have not exercised in the past five years What kind of data collection is this Observational Study Experiment O O O O Survey Simulation

1 point Mr Mitchell was interested in the effects of music on student performance At the bottom of his exam he asked students to circle their favorite type of music rock country or hip hop He then computed the averages for the students who liked each type of music and compared the results Is this an experiment or an observational study Experiment Observational Study

1 point Researchers tested a new cleansing product called Protective Daily Wash on 100 randomly selected participants The researcher put 50 participants in Group A and 50 participants in Group B Group A was given instructions to wash their face daily with the product in a commercial bottle which was only distilled water that was then scented to smell like the actual product Group B participants were given the actual Protective Daily Wash product in a commercial bottle and told to wash their face daily with the product This is an example of which type of study Simulation Experimental Study Census Observational Study

1 point The Advanced Algebra teacher wants to know if the students need a study guide for the test What is the best design for data collectic Observational Study Experiment Census Survey

2 2 2 4 2 4 Graph of f C 10 5 6 7 2 3 The graph of a function f is shown above What is the value of S A 6 B 8 f x dx D 14 E 18

Write an equation for the polynomial graphed below You can leave the function in factored form 5 M to th fr son Py by m A in 1 2 3 4 0 1 2

Consider an election in which the votes were cast according to the table on the right Complete parts a and b below NO X Yes Candidate Edelson Borowski Callow Number of Votes 45 29 26 b What percentage of Callow s votes would Borowski need to win a runoff election of Callow s votes Round to two decimal places as needed

Graph the following systems of linear inequalities 11 y 2x 3 y x 1 12 x y20 4x 3y 18

Solve each system of equations by graphing Clearly give your solution 1 3r y 5 2 4x 2y 8 y 1 y 2x 4 x

5 2x y 2 5x 3y 8 6 2x 5y 14 4x 2y 4

Central Tendency What the measurements of central tendency tell you separately and together about the center of your data o Mean o Median o Mode Calculate the Mean Find calculate the median Find the mode Calculate a weighted mean from a frequency table ono

5 Sy x 4x 12 1y 4x 4 6 y x 1 11 y 2x

11 2x 3y 6 12y 5 x 12 3 x 2y 7 2x 5y 10

7 2x 6y 12 5x 15y 30 8 5x 2y 3 3x 3y 9

Date y x 3 x x D Class

3x 2y 26 4x 5y 4 10 4x 3y 1 5x 4y 1

7 y x 24 1 x y 12 8 y x 7 3 12y 6x 24

3x 8y 5 2x 2y 18 4 x 3y 7 2x 6y 12

Mr Delaney broke his piggy bank with a sledge hammer and found that it only contained quarters and pennies If he had a total of 120 coins for a combined value of 16 32 how many pennies did he have in his piggy bank

Graph the following linear inequalities 9 2x 4y 8 X 10 y 3

Solve each system of equations by elimination Clearly give your solution 5 x 2 6 2x 8y 2 3x 3y 15 3 5x 3y 8

The function h x 3f x 1 is created from transformations of the function f x

The function h x f 3x 4 is created from transformations of the function f x

Write the equation of a sine or cosine function to describe the graph Ik 5 y FR 45 27 3 47 5 0 B 0 0 X

The function h x 3f x 1 is created from transformations of the function f x

The function h x f 3x 4 is created from transformations of the function f x

The function h x f 3x 4 is created from transformations of the function f x Recall point 3 4 on f x What new point must be on h x