Answer:
The value of x is 20 degrees.
Step-by-step explanation:
The three angles of a triangle must equal 180 degrees.
100 + 40 + 2x = 140 + 2x
180 - 140 = 40 (goal)
2(x) = 40
2(20) = 40
A) 20 degrees
The starting value is 20,300, and the value is decreasing by 9.5% each year.
Because it decreases by 9.5% each year based on the previous amount, we use an exponential decay model.
A decrease by 9.5% corresponds to multiplying by 91.5% each year.
We write . We plug in 11 years for t.
$7,671.18
Answer:
Step-by-step explanation:
Given that a particular detection system has a 0.83 probability of detecting a missile attack.
Also each system is independent of the other to detect missile attack.
a) the probability that a single detection system will detect an attack=
b) the probability that at least one of the systems will detect the attack given two systems= 1-Prob no system detects
=
c) If three systems are installed, the probability that at least one of the systems will detect the attack
= 1- none of the three systems detect attack

d) We find that probability of detecting is more if we increase the system form 1 to 2 and 2 to 3.
Hence for safety and defence purpose multiple detection system is recommended.
Answer:
<h2>
<em><u>5</u></em><em><u> </u></em><em><u>Feet</u></em></h2>
Reason:
<em>From</em><em> </em><em>the</em><em> </em><em>graph</em><em> </em><em>you</em><em> </em><em>can</em><em> </em><em>clearl</em><em>y</em><em> </em><em>see</em><em> </em><em>that</em><em> </em><em>the </em><em>i</em><em>nitial</em><em> </em><em>posi</em><em>tion</em><em> </em><em>of</em><em> </em><em>rock</em><em> </em><em>was</em><em> </em><em>5</em><em> </em><em>feet</em><em> </em><em>above </em><em>as</em><em> </em><em>compa</em><em>red</em><em> </em><em>to</em><em> </em><em>its</em><em> </em><em>final</em><em> </em><em>position</em><em> </em><em>when</em><em> </em><em>it</em><em> </em><em>was</em><em> </em><em>throw</em><em>n</em><em> </em><em>in</em><em> </em><em>water</em><em>.</em>
You just have to set the denominator to zero and solve for x