The vector that represents the resultant velocity of the plane will be V = 30.72 i + 135.89 j + 53.46 k.
<h3>What is a vector?</h3>
The quantity which has magnitude, and direction, and follows the law of vector addition is called a vector.
An airplane is taking off headed due north with an air speed of 173 miles per hour at an angle of 18° relative to the horizontal. The wind is blowing with a velocity of 42 miles per hour at an angle of S 47° E.
Let north be the y-axis and east be the x-axis. Then the vector equation will be given as,
V = (42 sin 47°) i + (173 cos 18° - 42 cos 47°) j + (173 sin 18°) k
V = 30.72 i + 135.89 j + 53.46 k
The complete question is attached below.
More about the vector link is given below.
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The growth of y = 3x compare to the growth of y = 3 as the function y = 3^x is growing faster than y = 3x.
<h3>How to explain the graph?</h3>
The growth rate of any function is calculated by finding its limit at infinity. Here, we need to calculate the limit of the function when x approaches to infinity.
Also, as x approaches infinity the order followed by the functions according to their growth rate is :
Factorial < Exponential < Polynomial < 1
Now, the function y = 3x is polynomial and the other function y = 3^x is exponential.
Therefore, in comparison with the above sequence : The function y = 3^x is growing faster than y = 3x.
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A ton is 2,000 so adding would take to long, so just multiply 2,000 and 40, and that will give you 80,000.
Answer:
x= 1.5, y= 3.5
or x= -5, y= 10
Step-by-step explanation:
Let's solve by substitution.
Label the two equations:
y= 2x² +6x -10 -----(1)
y= -x +5 -----(2)
Substitute (2) into (1):
2x² +6x -10= -x +5
2x² +6x +x -10 -5= 0
Simplify:
2x² +7x -15= 0
Factorise:
(2x -3)(x +5)= 0
2x -3= 0 or x +5= 0
2x= 3 or x= -5
x= 1.5
Now that we have found the value of x, we can find the value of y through substitution.
Substitute into (2):
y= -1.5 +5 or y= -(-5) +5
y= 3.5 or y= 10
Supplementary:
Do check out the following should you wish to learn more about solving quadratic equations!
