The geometric sequence is starting with 2 and multiplying by 3 every time. We can get the rule of this sequence by...
If 2 is a_0, 6 is a_1, 18 is a_2, etc.
a_n=2*3^n
For the 14th term, which is a_13, the value is 2*3^13.
Using a calculator because I'm too lazy to calculate 3^13 sorry, we can get.
3188646
Using vector concepts, it is found that:
The component form is of approximately (-9.58, 7,22). It means that the ship is about 9.58 miles to the west and about 7.22 miles to the north of where the ship left the port.
<h3>How can a vector be represented in component notation?</h3>
Given a magnitude M and angle
, then a vector V can be represented as follows in component notation:

In this problem, the magnitude and the angle are given, respectively, by:

Hence:
V = [12cos(143º), 12sin(143º)] = (-9.58, 7,22).
Which means a displacement of 9.58 miles to the west(negative x = west) and 7.22 miles to the north(positive y = north).
The component form is of approximately (-9.58, 7,22). It means that the ship is about 9.58 miles to the west and about 7.22 miles to the north of where the ship left the port.
More can be learned about vectors at brainly.com/question/24606590
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Answer:
7.5 feet
Step-by-step explanation:
4/5=6/x
cross multiply
4x=30
x=7.5
A boat travels 45 miles east then 60 miles north, how far is it from where it started. Draw this. The hypotenuse of the right triangle is the square root (45^2)+(60^2)=square root of 2025=3600=square root of 5625, or 75 miles.