Find a quadratic function that models the data.The table shows the number of new AIDS cases among women in the U.S. in six consecutive years. Data are in thousands rounded to the nearest hundred. YearNew AIDS Cases (thousands)19883.019893.419904.619915.419926.0199316.1 Let x = 1 correspond to 1988 and let f(x) be the number of new AIDS cases (in thousands) among women in the U.S. in year x. Using the point  as the vertex and  as the other point, determine a quadratic function 

style="vertical-align: -4.0px;" /> that models the data.

A. f(x) = 0.364(x - 1)2 + 3.0
B. f(x) = 0.824(x - 1)2 + 3.0
C. f(x) = 0.524(x - 1)2 + 3.0
D. f(x) = 0.764(x - 1)2 - 3.0

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Answer: C

Mathematics

The vector r(t) is the position vector of a particle at time t. Find the angle between the velocity and the acceleration vectors at time t = 0.r(t) = (6t2 + 2)i + (5t3 - 8t)k

A. ?
B. 0
C.
D.

Solve the following quadratic application using the given graph. An arrow is fired into the air with an initial velocity of 160 feet per second. The formula  models the arrow's height above the ground, y, in feet, x seconds after it was shot into the air. (i) When does the arrow reach its maximum height? (ii) What is the maximum height? (iii) Write the vertex as an ordered pair. (iii) Write the vertex as an ordered pair. (iv) Write the x-intercepts as ordered pairs. What are the real-world meanings of the intercepts?

A. (i) The arrow reaches its maximum height 6 seconds after it is fired into the air. (ii) The maximum height of the arrow is 720 feet. (iii) Vertex: (6, 720) (iv) x-intercepts: (0, 0) and (0, -20); The arrow is on the ground 0 seconds after being fired and -20 seconds after being fired. B. (i) The arrow reaches its maximum height 5 seconds after it is fired into the air. (ii) The maximum height of the arrow is 400 feet. (iii) Vertex: (5, 400) (iv) x-intercepts: (0, 0) and (0, 10); The arrow is on the ground 0 seconds after being fired and 10 seconds after being fired. C. (i) The arrow reaches its maximum height 6 seconds after it is fired into the air. (ii) The maximum height of the arrow is 1200 feet. (iii) Vertex: (6, 1200) (iv) x-intercepts: (0, 0) and (0, 9.69); The arrow is on the ground 0 seconds after being fired and 9.69 seconds after being fired. D. (i) The arrow reaches its maximum height 5 seconds after it is fired into the air. (ii) The maximum height of the arrow is 80 feet. (iii) Vertex: (5, 80) (iv) x-intercepts: (0, 0) and (0, -10); The arrow is on the ground 0 seconds after being fired and -10 seconds after being fired.

Factor the trinomial.24 + 5x - x2

A. (8 - x)(3 - x) B. (8 - x)(3 + x) C. (8 + x)(3 - x) D. (x + 8)(x - 3)

Convert the measurement as indicated.12,320 yd to miles

A. 7 mi
B. 12 mi
C. 36,960 mi
D. 2 mi