Please help I dont get it

3 4 6 Jake buys a bag of popcorn at a movie theater. He eats half of the popcorn during the 15 minutes of If 20 - x = 15, what is the value of 3x ? 8 previews. After eating half of the popcorn, he stops A) 5 Which of the following is equivalent to 2x(x2 - 3x) ? eating for the next 30 minutes. Then he gradually B ) 10 A ) JAX ? eats the popcorn until he accidentally spills all of the 800 remaining pop popcorn. Which of the following graphs C) 15 B ) 3 x 3 - * 2 could represent the situation? D) 35 C ) 2 x 3 - 3x it deposited llars) oo Jeremy A) Amount of popcorn D) 2x3 - 6x 2 moure 500 400 300 in the bag 200 100 012 3 456 Number of weeks 0 30 60 90 5 The two graphs above show the total amounts of Time (minutes) f ( x ) = * + 3 7 money that lan and Jeremy each h 2 foreach have deposited into their savings accounts for the first seven weeks after Amount of popcorn A retail company has 50 large stores located in opening their accounts. After they made For the function f defined above , what is the value of different areas throughout a state. A researcher for deposits, how much more did Ian deposit each week than Jeremy? in the bag f (- 1) ? the company believes that employee job satisfaction varies greatly from store to store. Which of the A) $200 A ) - 2 following sampling methods is most appropriate to B) $100 B) -1 estimate the proportion of all employees of the company who are satisfied with their job? C) $50 0 30 60 90 D ) $25 Time (minutes) D ) 2 A) Selecting one of the 50 stores at random and then surveying each employee at that store Amount of popcorn Selecting 10 employees from each store at random and then surveying each employee in the bag selected C) Surveying the 25 highest-paid employees and the 25 lowest-paid employees 9 D) Creating a website on which employees can 0 30 60 90 express their opinions and then using the first h ( x ) = 2 * 50 responses The function h is defined above. What is Time (minutes) h (5 ) - h ( 3 ) ? Amount of popcorn A) 2 B) in the bag C) 24 D ) 28 0 30 60 90 Time (minutes) CONTI CONTINUE Unauthorized copying or reuse of any part of this page is illegal. orized copying or reuse of any part of this page is illegal. 34210 A researcher surveyed a random sample of students from a large university about how often they see movies. Using the sample data, the researcher 12 estimated that 23% of the students in the population saw a movie at least once per month. The margin of 14 error for this estimation is 4%. Which of the Of the following, which is closest to the ratio of the total number of insects in all three colonies in week 8 following is the most appropriate conclusion about A book was on sale for 40% off its original price. If tax.) the sale price of the book was $18.00, what was the to the total number of insects at the time of initial all students at the university, based on the given estimate and margin of error? original price of the book? (Assume there is no sales Questions 13 and 14 refer to the following A) $7.20 information. Insect Count for treatment? A) It is unlikely that less than 23% of the students B) $10.80 hree Pesticide Treatments A ) 2 to 5 see a movie at least once per month. C) $30.00 B) 1 to 4 160T B) At least 23%, but no more than 25%, of the D) $45.00 Colony A 140- Colony B C ) 3 to 5 students see a movie at least once per month. D) 1 to 2 month. that most students see a movie at least once per finsects Colony C C) The researcher is between 19% and 27% sure 80 D) It is plausible that the percentage of students 260 40 who see a movie at least once per month is between 19% and 27%. 20 2 4 6 8 Weeks after initial treatment Three colonies of insects were each treated with a 15 different pesticide over an 8-week period to test the A right circular cone has a volume of 247 cubic effectiveness of the three pesticides. Colonies A, B, and C nches. If the height of the cone is 2 inches, what 11 were treated with Pesticides A, B, and C, respectively. is the radius, in inches, of the base of the cone? Each pesticide was applied every 2 weeks to one of the three colonies over the 8-week period. The bar graph above shows the insect counts for each of the three A) 2V3 List B 2 3 3 colonies 0, 2, 4, 6, and 8 weeks after the initial treatment. B) 6 C) 12 D ) 36 The table above shows two lists of numbers. Which 13 of the following is a true statement comparing list A and list B ? Which of the following colonies showed a decrease in ize every two weeks after the initial treatment with A) The means are the same, and the standard pesticide? deviations are different. I. Colony A The means are the same, and the standard I. Colony B deviations are the same. III. Colony C The means are different, and the standard A) I only deviations are different. B ) III only D) The means are different, and the standard C) I and II only deviations are the same. D) I, II, and III se of any part of this cage is illegal CONTINUE Unauthorized copying or reuse of any pert of this page is Illegal. 344f ( x ) = (x+ 3) (x - k ) 24 28 The function f is defined above. If k is a positive integer, which of the following could represent the ho voted 140 26 graph of y = f (x) in the xy-plane? 3 120- 27 3 (9x - 6) - 4=9x -6 2 110- Keith modeled the growth over several hundred years of a tree population by estimating the number Based on the equation above , what is the value A ) 2 100 590- Number o of the trees' pollen grains per square centimeter that 80 were deposited each year within layers of a lake's of 3x - 2 ? sediment . He estimated there were 310 pollen grains A) -4 x 70 60 per square centimeter the first year the grains were 42 0 2 4 deposited, with a 1% annual increase in the number 120 140 160 180 200 220 240 260 280 300 of grains per square centimeter thereafter. Which of B) 5 Number of registered voters the following functions models P(t), the number of pollen grains per square centimeter t years after the C)- The scatterplot above shows the number of registered first year the grains were deposited? NIm B) voters, x, and the number of people who voted in the A) P (t ) = 310 * D) 4 last election, y, for seven districts in a town. A line of best fit for the data is also shown. Which of the B) P (t ) = 3101.01t following could be the equation of the line of best fit? A) y = -0.5x C ) P(t ) = 310 (0.99) B) y = 0.5x D) P(t ) = 310 (1.01)* 120 C) y = - 2x D) y = 2x 25 2.4x - 1.5y = 0.3 1.6x + 0.5y = -1.3 The system of equations above is graphed in the xy-plane. What is the x-coordinate of the intersection point (x, y) of the system? A) -0.5 B ) -0.25 C) 0.8 D) 1.75 Unauthorized copying or reuse of any part of this page is illegal. CONTINUE use of any part of this page is Wlegal16 18 20 In 2015 the populations of City X and City Y were Survey Results equal. From 2010 to 2015, the population of City X The maximum value of a data set consisting of 22 increased by 20% and the population of City Y Answer Percent Never 31.3% 25 positive integers is 84. A new data set con decreased by 10%. If the population of City X was Rarely 24.3% of 26 positive integers is created by including 96 in The first year Eleanor organized a fund-raising event, 120,000 in 2010, what was the population of City Y Often the original data set. Which of the following Always 30.9% measures must be 12 greater for the new data set he invited 30 people. For each of the next 5 years, in 2010? than for the original data set? he invited double the number of people she had 60,000 B ) 90,000 The table above shows the results of a survey in A) The mean invited the previous year. If f(n) is the number of C) 160,000 which tablet users were asked how often they would B) The median people invited to the fund-raiser n years after watch video advertisements in order to access Eleanor began organizing the event, which of the D) 240,000 streaming content for free. Based on the table, which C ) The range following statements best describes the function f ? of the following is closest to the probability that a D) The standard deviation A) The function f is a decreasing linear function. tablet user answered " Always," given that the tablet B ) The function f is an increasing linear function. user did not answer "Never"? C) The function f is a decreasing exponential function . A) 0.31 D) The function f is an increasing exponential B) 0.38 function. C) 0.45 17 D) 0.69 21 The volume of a sphere is given by the formula 0.10x + 0.20y = 0.18(x + y) Clayton will mix x milliliters of a 10% by mass saline V= , ny , where r is the radius of the sphere. Which solution with y milliliters of a 20% by mass saline solution in order to create an 18% by mass saline 23 of the following gives the radius of the sphere in solution. The equation above represents this situation. If Clayton uses 100 milliliters of the 20% by * asa sa terms of the volume of the sphere? 19 mass saline solution, how many milliliters of the 10% by mass saline solution must he use? y = - (x -3)2 + a A) s Some values of x and their corresponding values are shown in the table above, where a is a const A) - B) 25 If there is a linear relationship between x and y 3V In the equation above, a is a constant. The graph of C ) 50 which of the following equations represents the the equation in the xy-plane is a parabola. Which of D) 100 relationship? B) 3V the following is true about the parabola? A ) * + 2y = a A) Its minimum occurs at (-3, a). B ) * +2y= 5a C) 3V B) Its minimum occurs at (3, a). C) 2x-y =-50 C) Its maximum occurs at (-3, a). D ) 2x - y = 7a D) AT D) Its maximum occurs at (3, a). Unauthorized copying or reuse of any part of this page is legal d copying or reuse of any part of this page is Illegal. CONTINUE 34610 A researcher surveyed a random sample of students 12 from a large university about how often they see 14 movies. Using the sample data, the researcher A book was on sale for 40% off its original price. If Questions 13 and 14 refer to the following Of the following, which is closest to the rati estimated that 23% of the students in the population the sale price of the book was $18.00, what was the otal number of insects in all three colonies saw a movie at least once per month. The margin of original price of the book? (Assume there is no sales information. tax.) to the total number of insects at the time of error for this estimation is 4%. Which of the Insect Count for following is the most appropriate conclusion about Three Pesticide Treatments treatment? A) $7.20 B ) $10.80 160 A) 2 to 5 all students at the university, based on the given estimate and margin of error? C) $30.00 140- Colony A B) 1 to 4 Colony B C ) 3 to 5 A) It is unlikely that less than 23% of the students D) $45.00 $ 120- Colony C D) 1 to 2 see a movie at least once per month. 100- B) At least 23%, but no more than 25%, of the 6 80 students see a movie at least once per month. 60 C) The researcher is between 19% and 27% sure Number that most students see a movie at least once per 20 month. D) It is plausible that the percentage of students 0 2 6 who see a movie at least once per month is Weeks after initial treatment between 19% and 27%. Three colonies of insects were each treated with a different pesticide over an 8-week period to test the 15 effectiveness of the three pesticides. Colonies A, B, and C A right circular cone has a volume of 247 c were treated with Pesticides A, B, and C, respectively. inches. If the height of the cone is 2 inches, w Each pesticide was applied every 2 weeks to one of the three colonies over the 8-week period. The bar graph is the radius, in inches, of the base of the con above shows the insect counts for each of the three colonies 0, 2, 4, 6, and 8 weeks after the initial treatment. A) 2V3 11 B) 6 List A 1 2 3 4 8 ; C) 12 13 D) 36 Which of the following colonies showed a decrease in The table above shows two lists of numbers. Which size every two weeks after the initial treatment with of the following is a true statement comparing list A pesticide? and list B ? I. Colony A A) The means are the same, and the standard II. Colony B deviations are different. III. Colony C B) The means are the same, and the standard A) I only deviations are the same. B) III only C) The means are different, and the standard C) I and II only deviations are different. D) I, II, and III D) The means are different, and the standard deviations are the same. CONTINUE Unauthorized copying or reuse of any part of this page is Illegal. CONT Unauthorized copying or reuse of any part of this page is Illegal. 3444 4 14 Questions 13 and 14 refer to the following information. Of the following, which is closest to the ratio of total number of insects in all three colonies in Insect Count for to the total number of insects at the time of init treatment? 160 Three Pesticide Treatments A) 2 to 5 140 Colony A B) 1 to 4 Number of insects 120 Colony B C) 3 to 5 100 Colony C D) 1 to 2 80 60- 40+ 20 0 2 8 Weeks after initial treatment Three colonies of insects were each treated with a different pesticide over an 8-week period to test the 15 effectiveness of the three pesticides. Colonies A, B, and C A right circular cone has a volume of 24x cubic were treated with Pesticides A, B, and C, respectively. inches. If the height of the cone is 2 inches, what Each pesticide was applied every 2 weeks to one of the three colonies over the 8-week period. The bar graph is the radius, in inches, of the base of the cone? above shows the insect counts for each of the three A) 2V/3 colonies 0, 2, 4, 6, and 8 weeks after the initial treatment. B) 6 C) 12 13 D) 36 Which of the following colonies showed a decrease in size every two weeks after the initial treatment with pesticide? 1. Colony A II. Colony B III. Colony C A) Ionly B) III only C) 1 and II only D) I, II, and III Unauthorized copying of reuse of any part of this page is Illegal. CONTINUE 345