The magnitude of the resulting vector, u - v, is approximately 5.83
and its angle of direction is approximately 59.04°.
<h3>How to find the magnitude of the resulting vector?</h3>
We want to subtract vector v from vector u.
We are given;
v = <2, -3> = 2i - 3j
u = <5, 2> = 5i + 2j
u - v = 5i + 2j - (2i - 3j)
= 5i + 2j - 2i + 3j
= 3i + 5j
Resultant vector = √(3² + 5²)
Resultant vector = √34 ≈ 5.83
Angle of direction of resultant vector is;
tan θ = (5/3)
θ = tan⁻¹(5/3)
θ = 59.04°
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Answer:
The approximate cost during the year 1987 was $7,533
Step-by-step explanation:
The complete question in the attached figure
we have
y -----> is the cost in dollars
x -----> is the year
Looking at the graph we have the points
(1983,5,047) and (1991, 10,019)
To determine the cost in the year 1987, find out the midpoint between the two given points
The formula to calculate the midpoint between two points is equal to
substitute the values
therefore
The approximate cost during the year 1987 was $7,533
What is the interquartile range of the sequence 5,5,8,8,13,14,16,16,19,22,23,27,31 ?
Romashka-Z-Leto [24]
Answer:
The Interquartile range is 10.
Step-by-step explanation:
First, we will need to find the mean, the mean of this sequence is 16, you will now need to find quartile 1 and quartile 3. Quartile 1 is 13, and quartile 3 is 23. Lastly, subtract Quartile 3 and Quartile 1 will be the answer.
So, 23-13=10
The Answer will be 10, the interquartile range is 10.
Hope this helps!
The commutative pooperty of x + 7 is equal to 7 + x.
3 ways
1st way: Anthony- Gold William-Red Christopher-Green Mathew-Blue
2nd way: Anthony- Blue William-Gold Christopher-Red Mathew-Green
3rd way: Anthony-Green William-Blue Christopher-Gold Mathew-Red
