Answer:
N=+24,-24
Step-by-step explanation:
Well this is a quadratic equation and we can make further deductions using it's discriminant
b²-4ac=0
N²-4(1×144)=0
N²-576=0
N²=576
N=√576
N=+24,-24
Answer: x = ¹/₂ ± √⁸¹
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2
Step-by-step explanation:
First write out the equation
x² - x - 20
Now we now write the equation by equating to 0
x² - x - 20 = 0
We now move 20 to the other side of the equation. So
x² - x = 20,
We now add to both side of the equation square of the half the coefficient of the (x) and not (x²) which is (1) . So, the equation now becomes
x² - x + ( ¹/₂ )² = 20 + ( ¹/₂ )²
x² - ( ¹/₂ )² = 20 + ¹/₄
( x - ¹/₂ )² = 20 + ¹/₄, we now resolve the right hand side expression into fraction
( x - ¹/₂ )² = ⁸¹/₄ when the LCM is made 4
Taking the square root of both side to remove the square,we now have
x - ¹/₂ = √⁸¹/₄
x - ¹/₂ = √⁸¹/₂
Therefore,
x = ¹/₂ ± √⁸¹
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2
Define i as a unit vector in the eastern direction.
Define j as a unit vector in the northern direction.
Part I
Because the wind is blowing west, its velocity vector is
-23i mph or as (-23, 0) mph
Because the plane is traveling north, its velocity vector is
200j mph or as (0, 200) mph
Part II
The actual velocity of the plane is the vector sum of the plane and wind velocities.
That is,
200j - 23i or (-23, 200) mph
Part III
The ground speed of the plane is the magnitude of its vector.
The ground speed is
√[200² + (-23)²] = 201.32 mph
The ground speed of the plane is 201.3 mph (nearest tenth)
Not:
The direction of the plane is
tan⁻¹ 23/200 = 6.56° west of north.
Answer:
1) The range is found by subtracting the minimum data entry from the maximum data entry.
2) It is easy to compute.
3) It uses only two entries from the data set.
Step-by-step explanation:
We are given the following information in the question:
1) Range is difference between the highest value and the lowest value of the data.
- To find the range we first arrange the data in the increasing order and then select the highest and the lowest value of the data, Then the lowest value is subtracted from the highest value to find the range.
Option A) The range is found by subtracting the minimum data entry from the maximum data entry.
2) Advantage of range as a measure of variation.
- Since the method to calculate range of a data set is very easy, it is one of the advantages to use range as a method of variation.
Option B) It is easy to compute.
3) Disadvantage of range to use as a method of variation.
- The disadvantage of using range is that it does not measure the spread of the data set
- It only measures the spread between highest and lowest data points in data set.
Option C) It uses only two entries from the data set.
