Zach read a book for 10 minutes every weekend in the first month, 20 minutes in the second month, 40 minutes in the third month, and 80 minutes in the fourth month. Victoria read a book for 35 minutes every weekend in the first month, 50 minutes in the second month, 65 minutes in the third month, and 80 minutes in the fourth month. Which statement best describes the methods used by Zach and Victoria to increase the time they spent reading a book? Zach's method is linear because the number of minutes increased by an equal factor every month. Victoria's method is linear because the number of minutes increased by an equal number every month. Both Victoria's and Zach's methods are exponential because the number of minutes increased by an equal factor every month. Both Victoria's and Zach's methods are exponential because the number of minutes increased by an equal number every month.

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general 11 months ago 1536

A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = −16t2 + 48t where t equals the time in seconds and h(t) represents the height of the ball at time t seconds. What is the axis of symmetry, and what does it represent? (2 points) t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground t = 1.5; it takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground t = 3; it takes 3 seconds to reach the maximum height and 3 seconds to fall back to the ground t = 3; it takes 3 seconds to reach the maximum height and 6 seconds to fall back to the ground

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general 11 months ago 3647

The following is an incomplete paragraph proving that the opposite sides of parallelogram ABCD are congruent:According to the given information, segment AB is parallel to segment DC and segment BC is parallel to segment AD.. Construct diagonal A C with a straightedge. It is congruent to itself by the Reflexive Property of Equality. Angles BAC and DCA are congruent by the Alternate Interior Angles Theorem. Angles BCA and DAC are congruent by the same theorem. __________. By CPCTC, opposite sides AB and CD, as well as sides BC and DA, are congruent.Which sentence accurately completes the proof? A) Triangles BCA and DAC are congruent according to the Angle-Angle-Side (AAS) Theorem. B) Triangles BCA and DAC are congruent according to the Angle-Side-Angle (ASA) Theorem. C) Angles ABC and CDA are congruent according to a property of parallelograms (opposite angles congruent). D) Angles BAD and ADC, as well as angles DCB and CBA, are supplementary by the Same-Side Interior Angles Theorem.

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general 11 months ago 7420

What is the value of n in the equation 3n + 2(n + 2) = 9n + 12? −4 −2 2 4The work of a student trying to solve the equation 3(4x − 2) = 9 + 2x + 5 is shown below:Step 1: 3(4x − 2) = 9 + 2x + 5Step 2: 12x − 2 = 14 + 2xStep 3: 12x − 2x = 14 + 2Step 4: 10x = 16Step 5: x = 1.6In which step did the student first make an error and what is the correct step? Step 2: 12x − 2 = 4 + 2x Step 2: 12x − 6 = 14 + 2x Step 3: 12x + 2x = 14 + 2 Step 3: 12x − 2x = 14 − 2

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general 11 months ago 9990