Question list 0 Question 1 0 Question 2 0 Question 3 0 Question 4 0 Question 5 0 Question 6 0 Question 7 l6 The exponential model A = 283.690'022t describes the population, A, of a country in millions, tyears after 2003. Use the model to determine when the population of the country will be 525 million. E> The population of the country will be 525 million in (Round to the nearest year as needed.) Time Remaining: 02:59:47 m Solve the triangle. Question list K 92 a = 6 O QueStlon 7 a. The number of people initially infected is (Round to the nearest whole number as needed.) 0 Question 8 b. The number of people infected after 4 weeks is I]. (Round to the nearest whole number as needed.) 0. The limiting size of the infected population is El. 0 Question 9 (Round to the nearest whole number as needed.) 0 Question 10 0 Question 11 0 Question 12 Time Remaining: 02:59:15 m A bottle of milk initially has a temperature of 84 F. It is left to cool in a refrigerator that has a temperature of 35 F. After Question list K 10 minutes the temperature of the milk is 63F. U QUESLIVIIJ . . . a. Use Newton's Law of Cooling, T= C+ (To - C) e", to find a model for the temperature of the milk, 7, after t minutes. O Question 6 T = C+ (To - C) ekt O Question 7 T = 35+ (49)e + Solve for k and enter the answer (Round to four decimal places.) b. What is the temperature of the milk after 15 minutes? O Question 8 T = OF (Type an integer. Round to nearest degree.) O Question 9 c. When will the temperature of the milk be 49 F? t= minutes (Type an integer. Round to nearest minute.) O Question 10 O Question 11 O Question 12 Time Remaining: 02:59:11 NextFind the distance between the pair of points. Question list I \J uucauun a (8,6) and (16,12) - The distance between the points is units. 0 Question 6 (Round to two decimal places as needed.) 0 Question 7 0 Question 8 0 Question 9 0 Question 10 0 Question 11 0 Question 12 Time Remaining: 02:59:07 m Question list 0 Question 10 0 Question 11 0 Question 12 0 Question 13 0 Question 14 0 Question 15 0 Question 16 I Suppose you have $12,000 to invest. Which of the two rates would yield the larger amount in 5 years: 10% compounded quarterly or 9.90% compounded continuously? Which of the two rates would yield the larger amount in 5 years? C L, > ) 10% compounded quarterly 9.90% compounded continuously Time Remaining: 02:59:01 m Question list 0 Question 10 0 Question 11 0 Question 12 0 Question 13 0 Question 14 0 Question 15 0 Question 16 I Solve the exponential equation by expressing each side as a power of the same base and then equating exponents. 7x=49 The solution set is D. Time Remaining: 02:58:58 m Question list 0 Question 10 0 Question 11 0 Question 12 0 Question 13 0 Question 14 0 Question 15 0 Question 16 l Use the vertex and intercepts to sketch the graph of the quadratic function. Give the equation for the parabola's axis of symmetry. Use the parabola to identify the function's domain and range. f(x)=(x-1)2+7 Use the graphing tool to graph the equation. Use the vertex and the y-intercept when drawing the graph. . Click to ~ 4: ~ enlarge ' graph The axis of symmetry is D. (Simplify your answer. Type an equation.) Identify the function's domain. The domain is E. (Type the answer in interval notation.) Identify the function's range. The range is H. Time Remaining: 02:58:55 m In the following exercise, find the coordinates of the vertex for the parabola defined by the given quadratic function. Question list K f(x) =3x 1 The amplitude of y = E cos 9x is and the period is (Type integers or fractions. Type an exact answer, using 1: as needed.) C) Time Remaining: 02:58:47 m Question list 0 Question 16 0 Question 17 0 Question 18 0 Question 19 0 Question 20 0 Question 21 0 Question 22 l Find the measure of the side of the right B triangle whose length is designated by a lowercase letter b. Round answers to the nearest whole number. 154 in. D in (Do not round until the nal answer. Then round to the nearest whole number.) 6) Time Remaining: 02:58:42 m Question list 0 Question 16 0 Question 17 0 Question 18 0 Question 19 0 Question 20 0 Question 21 0 Question 22 l Use the vertex and intercepts to sketch the graph of the quadratic function. Give the equation of the parabola's axis of symmetry. Use the graph to determine the domain and range of the function. f(x) = (x 4)2 9 Use the graphing tool to graph the function. Use the vertex and one of the intercepts when drawing the graph. Click to ~ 1+ ~ enlarge ' ' graph The axis of symmetry is . (Type an equation. Simplify your answer.) The domain of the function is E. (Type your answer in interval notation.) The range of the function is E. (Type your answer in interval notation.) C) Time Remaining: 02:58:38 m Question list 0 Question 16 0 Question 17 0 Question 18 0 Question 19 0 Question 20 0 Question 21 0 Question 22 l Complete the square and write the given equation in standard form. Then give the center and radius of the circle and graph the equation. x2+y22x8y19=0 E> The equation in standard form is D. (Simplify your answer.) The center of the circle is E. (Type an ordered pair.) The radius ofthe circle is r= Use the graphing tool to graph the circle. ' Click to 6' ~ , enlarge - ' graph C) Time Remaining: 02:58:34 m '6 The graph of f(x) = - 2(x + 3)2 - 5 opens down. State whether the statement is true or false. Question list 0 Question 16 Choose the correct answer below. (:1 False 0 Question 17 C) True 0 Question 18 0 Question 19 0 Question 20 0 Question 21 0 Question 22 C) Time Remaining: 02:58:31 m Complete the following sentence below. Question list K A text message plan costs $4 per month plus $0.16 per text. The monthly cost, f(x), for x text messages can be modeled by the function f(x) = O Question 16 A text message plan costs $4 per month plus $0.16 per text. The monthly cost, f(x), for x text messages can be modeled O Question 17 by the function f(x) = O Question 18 4x + 0.16X. 4 + 0.16x. O Question 19 4x + 0.16. O Question 20 O Question 21 O Question 22 Time Remaining: 02:58:18 NextWrite the standard form of the equation of the circle with the given center and radius. Question list I Center (8, 6), r= 10 0 Question 16 Type the standard form of the equation of the circle. 0 Question 17 D (Simplify your answer.) 0 Question 18 0 Question 19 0 Question 20 0 Question 21 0 Question 22 C) Time Remaining: 02:58:00 m Give the slope and the y-intercept of the line with the given Question list K equation. Then, graph the linear equation. y = 2x + 8 . . . Question 19 What is the slope? Select the correct choice below and fill in any answer boxes within your choice. O Question 20 O A. The slope is -12 10 8 8 (Simplify your answer.) O B. The slope is undefined. O Question 21 What is the y-intercept? Select the correct choice below and fill in any answer boxes within your choice. O Question 22 O A. The y-intercept is . (Type an integer or a simplified fraction.) O B. There is no y-intercept. O Question 23 Graph the equation. Click to O Question 24 enlarge graph O Question 25 Time Remaining: 02:57:56 NextK Fill in each blank so that the resulting statements are true. Question list . . . 1 Question 19 Consider the line whose equation is y = X +5. The slope of any line that is parallel to this line is . The slope of any line that is perpendicular to this line is (Type integers or fractions.) O Question 20 O Question 21 O Question 22 O Question 23 O Question 24 O Question 25 Time Remaining: 02:57:52 Nexty varies directly as x. y = 105 when x = 7. Find y when x =18. Question list I E> y= |:| (Simplify your answer.) 0 Question 19 0 Question 20 0 Question 21 0 Question 22 0 Question 23 0 Question 24 0 Question 25 C) Time Remaining: 02:57:48 m