- 3 5 Note: Figure not drawn to scale. The figure shows the lengths, in inches, of two sides of a right triangle. What is the area of the triangle, in square inches?
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- - - - -_N - - - - - P = 19−C The given equation relates the positive numbers P, N, and C. Which equation correctly expresses C in terms of P and N? C =
1= I " \ I ' OJ) "a> 10::r:: \ X () 12345678910 Time (seconds) An object was launched upward from a platform. The graph shown models the height above ground, y, in meters, of the object x seconds after it was launched. For which of the following intervals of time was the height of the object increasing for the entire interval? = 0 = 2
- - - - -_14%_more_than_in_2007,_and_in - - - - ~ In 2008, Zinah earned 2009 Zinah earned 4% more than in 2008. If Zinah earned y times as much in 2009 as in 2007, what is the value of y?
y 6 4 v- 2'_\ / - X 0 - -6 -4 -2 2- f- \ I I',._ I~ '4 I '6 I Circle A (shown) is defined by the equation (x+2)^2 +y^2 = 9. Circle B (not shown) is the result of shifting circle A down 6 units and increasing the radius so that the radius of circle B is 2 times the radius of circle A. Which equation defines circle B? (x+2)^2 +(y +6)^2 = (4)(9)
- A C B Note: Figure not drawn to scale. ABC Right triangle is shown. What is the value tanA of?
At the time that an article was first featured on the home page of a news website, there were 40 comments on the article. An exponential model estimates that at the end of each hour after the article was first featured on the home page, the number of comments on the article had increased by 190% of the number of comments on the article at the end of the previous hour. Which of the following equations best represents this model, where C is the estimated number of comments on the article t hours after the article was first featured on the home page ≤ 4 and t? = 40(1.19) t
x g(x) −27 33 −9 00 2211 55 The table shows three values of x and their = corresponding values of g x, where g x (f x)/(x+3) and f is a linear function. What is the y-intercept of = the graph of y f x in the xy-plane? 0,36
In right triangle ABC, angle C is the right angle and BC = 162. Point D on side AB is connected by a line segment with point E on side AC such that line segment DE is parallel to side BC and CE = 2 AE. What is the length of line segment DE? OP
- - - - -_−53 -_=_91 - - - ~ k^2 What is the positive solution to the given equation?
During a portion^-^-^-^-^- of a flight, a small airplane’s^~ cruising speed varied between 150 miles per hour and 170 miles per hour. Which inequality best represents this situation, where s is the cruising speed, in miles per hour, during this portion of the flight? s ≤ 20
- -_many_yards_are_equivalent_to_1,116_inches? - - - - - - - ~ How (^1yard^=^36inches)
- - - -_=_14+4x - - ~ f x The function f represents the total cost, in dollars, of attending an arcade when x games are played. How many games can be played for a total cost of $58?
f x = x+b For the linear function f, b is a constant. = 0 = 30 When x, f x. What is the value of b? −30
- - - -_1,800 - - ~ P t = 1.02^t The function P gives the estimated number of marine mammals in a certain area, where t is the number of years since a study began. What is the best P(0) = 1,800 interpretation of in this context?
- - - -_defined_by - - -_=_8x -_._For_what - ~ The function f is f x = 72 value of x does f x?
7(2x−3) = 63 Which equation has the same solution as the given equation? 2x−3 = 9
= 14t+9 The function f^-^-^-^-^~ defined by f t gives the estimated length, in inches, of a vine plant t months after Tavon purchased it. Which of the following is the best interpretation of 9 in this context?
(x+2)(x−5)(x+9) = 0 What is a positive solution to the given equation?
Brian saves 2/5 of the $215 he earns each week from his job. If Brian continues to save at this rate, how much money, in dollars, will Brian save in 9 weeks?
A rectangle has an area of 155 square inches. The length of the rectangle is 4 inches less than 7 times the width of the rectangle. What is the width of the rectangle, in inches?
4, 10, 18, 4, 4, 5, 6, 5 What is the median of the data set shown?
A right circular cylinder has a^- volume^- of 432 cubic centimeters. The area of the base of the cylinder is 24 square centimeters. What is the height, in centimeters, of the cylinder?
= −841 x^2 How many distinct real solutions does the given equation have?
= 7x+ Line k is defined by y 1/8. Line j is perpendicular to line k in the xy-plane. What is the slope of line j? −8