What is 3d - 12 for d = 10
2 answers:
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<h3>Answer: A) 6</h3>
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Explanation:
Plug n = 6 and r = 5 into the nCr combination formula
Or you could use the shortcut
Yet another path you could take is to use Pascal's Triangle. Locate the row that starts with 1,6,... and then locate the second to last item. That value in the triangle is 6.
A real world interpretation is to consider having 6 people and you are selecting 5 of them to form a group where order doesn't matter. How many ways are there to do this? Well there are 6 such ways because there are 6 ways to leave someone out of the group.
Given a scalar number 
and a vector v, the product between and v is a vector, with
- magnitude given by the product between the absolute value of and the magnitude of v
- direction given by the sign of: if a is positive, the final vector has same direction of v; if a is negative, the final vector has opposite direction to v.
In our problem, the scalar number is
. This means that the product between the vector and this number:
- has magnitude equal to
times the magnitude of the vector
- has opposite direction with respect to the original vector (because the scalar is negative)
Therefore, the correct answer is
<span>B.) The vector will change direction and decrease in magnitude.</span>
- magnitude given by the product between the absolute value of
- direction given by the sign of
In our problem, the scalar number is
- has magnitude equal to
- has opposite direction with respect to the original vector (because the scalar
Therefore, the correct answer is
<span>B.) The vector will change direction and decrease in magnitude.</span>