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:
If Stephanie sold the 70 pounds of tomatoes, her profit would be 135 dollars.
Step-by-step explanation:
You know that the equation f(x) = 3.50*x - 110 represents the profit in dollars Stephanie will earn by selling x pounds of the tomatoes.
If Stephanie sold the 70 pounds of tomatoes, you want to know what the profit would be. So to calculate the profit you simply replace in f (x), the x pounds of tomatoes by 70.
f(70)=3.50*70 - 110
Solving:
f(70)= 245 - 110
f(70)= 135
<u><em>If Stephanie sold the 70 pounds of tomatoes, her profit would be 135 dollars.</em></u>
A) Thé graphs f exponential functions eventually exceed the graphs of linear functions but not quadratic functions.
Answer:
-26981
Step-by-step explanation:
All you have to do is fill in -4 in place of all of the x in the equation and then solve. I got the answer -26981
HOPE THIS HELPS AND PLS GIVE BRAINLIEST!
Answer:
a). converges
b). diverges
c). converges
Step-by-step explanation:
{
} = {
}
Using radio test,
L = 
= 
= 
= 
= |r|
Therefore,
converges in |r| < 1
a). r = 1/5

This sequence is monotonically decreasing and bounded.
0 <
< 1
Hence, {
} converges.
b). r = 1
{
} = { n }
This sequence is monotonically increasing sequence which is not bounded.
Hence, {
} diverges.
c). r = 1/6

This sequence is monotonically decreasing and bounded.
0 <
< 1
Hence, {
} converges.
For |r| < 1, the
converges.