Aball is such that when it is dropped from a height of 1 metre it bounces vertically from the ground
to a height of 0.96 metres. it continues to bounce on the ground and each time the height the ball
reaches is reduced. two different models, a and b, describe this.
model a : the height reached is reduced by 0.04 metres each time the ball bounces.
model b : the height reached is reduced by 4% each time the ball bounces.
(i) find the total distance travelled vertically (up and down) by the ball from the 1st time it hits the
ground until it hits the ground for the 21st time,
(a) using model a, [3]
(b) using model b. [3]
(ii) show that, under model b, even if there is no limit to the number of times the ball bounces, the
total vertical distance travelled after the first time it hits the ground cannot exceed 48 metres.
[2]

Design an er diagram for keeping track of information about votes taken in the u.s. house of representatives during the current two-year congressional session. the database needs to keep track of each u.s. state's name (e.g., texas', new york', california') and include the region of the state (whose domain is {northeast', midwest', southeast', southwest', west'}). each congress person in the house of representatives is described by his or her name, plus the district represented, the start date when the congressperson was first elected, and the political party to which he or she belongs (whose domain is {republican', democrat', 'independent', other'}). the database keeps track of each bill (i.e., proposed law), including the bill name, the date of vote on the bill, whether the bill passed or failed (whose domain is {yes', no'}), and the sponsor (the congressperson(s) who sponsored - that is, proposed - the bill). the database also keeps track of how each congressperson voted on each bill (domain of vote attribute is {yes', no', abstain', absent'}). additional information:

Arestaurant offers delivery for their pizzas. the total cost the customer pays is the price of the pizzas, plus a delivery fee. one customer pays $23 to have 2 pizzas delivered. another customer pays $59 for 6 pizzas. how many pizzas are delivered to a customer who pays $86?

One of the solutions to x2 - 2x – 15 = 0 is x = -3. what is the other solution? ox=-5 ox= -1 0 x=1 x = 5