In accordance with the function <em>velocity</em>, the car will have a complete stop after 6 seconds.
<h3>When does the car stop?</h3>
Herein we have a function of the velocity of a car (v), in feet per second, in terms of time (t), in seconds. The car stops for t > 0 and v = 0, then we have the following expression:
0.5 · t² - 10.5 · t + 45 = 0
t² - 21 · t + 90 = 0
By the <em>quadratic</em> formula we get the following two roots: t₁ = 15, t₂ = 6. The <em>stopping</em> time is the <em>least</em> root of the <em>quadratic</em> equation, that is, the car will have a complete stop after 6 seconds.
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Step-by-step explanation:
Answer:You can make your own sandwich by choosing 1 bread, 1 type of meat, 1 kind of ... How many different sandwiches are possible? (a) ANS: 360. (b) 720. (c) 180 ... Already know 4 kinds of bread, 3 kinds of meat, 3 kinds of cheese. ... 4. (5 pts.) How many 3 digit numbers greater than 200 can be made from the set of numbers.
Step-by-step explanation:
Answer:
a) What is the probability that we will pick a blue ball?
there is a 50% chance that urn 1 will be selected and the possibility of a blue ball is 3/4 x 0.5 = 1.5/4
there is also a 50% chance that urn 2 will be selected and the possibility of a blue ball is 2/4 x 0.5 = 1/4
the probability of choosing a blue ball = 1.5/4 + 1/4 = 2.5/4 or 5/8
b) If we picked a blue ball, what is the probability that the selected urn was urn-1?
there are 5 blue balls in total, and 3 of them come from urn 1
c) Suppose we picked a blue ball. If we randomly pick one additional ball from the same urn, what is the probability that we pick a red ball?
there is a 50% chance that urn 1 will be selected, and the possibility of a red ball after a blue ball is 1/3 x 0.5 = 0.5/3
there is also a 50% chance that urn 2 will be selected and the possibility of a red ball after a blue ball is 2/3 x 0.5 = 1/3
the possibility of choosing a red ball after a blue ball = 0.5/3 + 1/3 = 1.5/3 = 1/2