Answer:
The rocket hits the gorund after approximately 10.71 seconds.
Step-by-step explanation:
The height of the rocket <em>y</em> in feet <em>x</em> seconds after launch is given by the equation:
And we want to find the time in which the rocket will hit the ground.
When it hits the ground, its height above ground will be 0. Hence, we can let <em>y</em> = 0 and solve for <em>x: </em>
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We can use the quadratic formula:
In this case, <em>a</em> = -16, <em>b</em> = 165, and <em>c </em>= 69.
Substitute:
Evaluate:
Hence, our solutions are:
Since time cannot be negative, we can ignore the first answer.
So, the rocket hits the gorund after approximately 10.71 seconds.
complete question
the probability of taking a freshman seminar, if a student is a science major, is:
a) a total probability.
b) a conditional probability.
c) a complete probability.
d) a joint probability.
Answer:
B. Conditional probability
Step-by-step explanation:
In this given question, what we ant to do is to find the probability thst a student who is a science major is taking a freshman seminar. This clearly a case of conditional probability.
In a conditional probability, we are trying to find out the probability of an event occurring given that another event has already occurred. since the student is a science major, the probability of the student taking a freshman seminar is to be determined.
Answer:
-16
Step-by-step explanation:
k = 3
-2(3) + 5 = -1
k = 4
-2(4) + 5 = -3
k = 5
-2(5) + 5 = -5
k = 6
-2(6) + 5 = -7
(-1) + (-3) + (-5) + (-7)
= -16
Answer:22
Step-by-step explanation: divide 46.2 by 14 to get 3.3 then divide 72.6 by 3.3 easy way but there is a harder one I just forgot lol
A² + b² = c² ⇒ right triangle
a² + b² < c² ⇒ obtuse triangle
a² + b² > c² ⇒ acute triangle
a = 12 ft ; b = 15 ft ; c = 20 ft
12² + 15² = < > 20²
144 + 225 = < > 400
369 < 400 OBTUSE TRIANGLE
√369 = 19.21
20 - 19.21 = 0.79
<span>It is an obtuse triangle. About 0.8 foot needs to be removed from the 20-foot board to create a right triangle.</span>