10+ mon, 1+ week ago (288+ words) A company conducted a survey about their new brand of skin lotion. The table above shows the results of the survey. During the survey, some customers did not answer some of the questions asked. If 600 customers were asked if they would recommend the lotion to their friends, how many of them did not answer the question? A dolphin jumps out of the water, following a parabolic path. The dolphin reaches its maximum height of 6 meters above the water at t = 3 seconds and returns to the water at t = 6 seconds. Which equation represents the height h, in meters, of the dolphin t seconds after it begins its jump? In the figure, point O is the center of the circle, and the line PQ is tangent to the circle at point P as shown. The length of the segment OP is 12 cm…...

10+ mon, 3+ day ago (220+ words) Two cylinders shown above have the same volume. If the radius of cylinder II is twice the radius of cylinder I and the height of cylinder I is 10, what is the height h of cylinder II? One of the factors of the function f(x) is x + k. Given that k is a positive integer, what is the value of k? g(x) = px2 " 8x + q The function g is defined above, where p and q are constants. The graph of y = g(x) is parabola that has a vertex at the point (m, n), where m and n are constants. If g(-6) = g(-1) and q > 0, which of the following must be true? C)" I and II D)" Neither I nor II (2x - 6k)(2x2"+ 5x - k)(3x2"+ 4x - 4k) = 0 In the given equation, k is a positive constant. The product of the solutions of the equation is 54/125. What is the value of r? If 5m " x is…...

4+ mon, 2+ day ago (147+ words) The circle in the xy-plane is centered at the origin, O, and the coordinates of points A and B are also shown. What is the area of the shaded region? If the function f is defined by f[(x - 1)/2] = x2 + 1, what is the value of f(-3)? In the figure above, the area of isosceles trapezoid OPQR is 128. What is the value of a? In the figure above, sin "BAD = 0.4 and sin "BCD = 0.5. If the length of AB is 10, what is the length of CD? The graph of y = (x2 - 4)/(x - 3)(x - 2) has a vertical asymptote at x = a. What is the value of a? "Digital SAT Problems and Solutions (Part - 137) Jul 28, 25 06:57 AM Jul 26, 25 08:02 PM Jul 25, 25 10:34 PM...

10+ mon, 4+ week ago (213+ words) In Ms. Lee's class, the number of boys is more than twice the number of girls. There are at least 7 girls and there are no more than 15 boys. How many students are in the class? The table above shows the point (x, y) represented on a straight line. If the point (16, m) lies on the same line, what is the value of m? James spent 3/4 of his allowance on a music CD. He spent 2/3 of what was left on a hamburger. If this left him P dollars, which of the following was his allowance in dollars? Radioactive decay is an exponential function where the amount, y, of radioactive material is reduced by one-half over a certain period of time t. Material M has a half-life of 50 years. If there are 800 grams of radioactive material M initially, then how much of this material would remain…...

10+ mon, 2+ week ago (192+ words) Given the equation involving the temperature T (in degrees Celsius) of a substance and the pressure P (in atmospheres) to which it is subjected : Express the temperature T in terms of the pressure P. Function h is defined by h(x) = ax + b, where a and b are constants and b = a + 1. In the xy-plane, the graph of f(x) = 3h(x) + 2 passes through the point (0, 14). What is the value of a? A)" The total number of books and copybooks is 72. B)" There are 0.25 copybooks on the shelf for every 3 books. C)" The difference between the length of the shelf and the total thickness"of books and copybooks is 72. D)" The length of the shelf is 72 inches. In the given equation, k is a constant. The equation has no solution. What is the value of k? Which of the following expressions is equivalent to the given expression? Digital SAT…...

10+ mon, 3+ week ago (330+ words) Which of the following is an equation of a circle in the xy-plane with center (2, -3) and a circumference of 20? B)" (x " 2)2 + (y + 3)2 = 20 C)" (x " 2)2 + (y + 3)2 = 100 D)" (x + 2)2 + (y " 3)2 = 400 f(x) = x3 + 2 The functions f and g are defined above. If f(b) = 29,"what is the value of g(b)? Researchers are attempting to model the growth of the recovering hawskbill turtle population in East Africa. They estimate the population to be 200 in the first year. In the second year, they record the population of 600 turtles. How much greater would the estimated population be in the third year, if the turtle population growth were exponential rather than linear? The scatterplot above shows the relationship between the speed of the driver and the amount of the fine, in dollars, for 15 speeding tickets issued by a local police department. The line of best fit is also shown. Which of the…...

11+ mon, 1+ week ago (262+ words) Alfred's favorite drink is 2 parts lime juice to 5 parts raspberry soda. Jenny's favorite drink is 1 part lime juice to 4 parts raspberry soda. If Jenny has a bottle containing 21 ounces of Alfred's favorite drink, how many ounces of raspberry soda should she add it to get her favorite drink? In the figure above, ABCD is a square, where AE intersects BD at point F, and E is the midpoint of BC. If AB = 24, what is the length of DF? In the triangle above, AB = BC. What is the value of sin A? Solution A is 60% acid and solution B is 40% acid. Solving which of the following systems of equations gives the number of gallons of solution A, a, and the number of gallons of solution B, b, that should be mixed together to produce 100 gallons of a solution that is 55% acid?...

10+ mon, 5+ day ago (201+ words) If (ax + 2)(bx + 3) = 14x2 + cx + 6 for all values of x and a + b = 9, what are the two possible values of c? A)" 2 and 7 B)" 4 and 14 C)" 6 and 21 D)" 20 and 25 In a xy-plane, the line determined by the points (5a, 3) and (15, a) passes through the origin. Which of the following could be the value of a? The County Reception Hall charges a rental fee of $1,000 and at least $3,000 for food. Olivia is planning a class reunion. If she has chosen a buffet that costs $38.56 per person, what is the minimum possible number of people who must attend to support the expense? The graph of a linear function f is shown in the xy-plane above. If f(k) = 1, what is the value of f(-2k)? The average of 2a and b"is equal to 50 percent of 4b, what is the value of a/b? Digital SAT Problems and Solutions (Part - 102) Jan 25, 25 12:52 AM Jan…...

9+ mon, 2+ week ago (297+ words) In the given system of equations, p and q are constants and p > 0. The system has infinitely many solutions. What is the value of p + q? The table above shows three values of x and their corresponding y-values for a linear relationship between x and y. The x-intercept of the line occurs at x = - 5. The number m is a negative constant and n is a constant. What is the value of mn? The data above represents how Class Buck and Class Mow performed in their midterm results. Which of the following cannot be true about the two classes represented in the table above? A)" The median of Class Buck and Class Mow is 75%. B)" The mean of Class Mow is greater than the mean of Class Buck." C)" The standard deviation of Class Mow is higher than the standard deviation of Class Buck. D)" The…...

4+ mon, 3+ week ago (143+ words) If k = (x + 1)(x - 1)/3and k " 0, what does 3x2 equal in terms of k? C) 3k + 1 D) 9k + 3 The average (arithmetic mean) of three positive numbers a, b and c is 15. When the greatest of these numbers is subtracted from sum of the other two, the result is 5. If a < b < c, what is the value of a + b? The equation above is true for all values of x " 2, where a and b are constants. What is the value of a? What are the solutions to the equation 3(x " 3)2 " 6 = 14? A) x = 320 "Digital SAT Problems and Solutions (Part - 137) Jul 05, 25 10:27 AM Jul 04, 25 09:44 AM Jul 04, 25 02:23 AM...