<span>Vector Ā * Vector B = -10. This is the scalar dot product and can calculated by taking the magnitude in the x, y, and z of the two vectors and the operation is done.
The angle </span> Ɵ AB between vector Ā and vector B is 133.635°.
<span>2 Vector B * 3 Vector C = -1. A similar approach is done for this one.</span>
In the above statement, the number 3 is a common factor between the two terms in the statement, 3x and 3y. We can divide 3 into both numbers evenly. This is also called “factoring<span> out” 3. Finding the common factor allows us to apply the </span>Distributive Property<span> to the statement.
Hope this helps</span>
Answer:
22.5 Wands
Step-by-step explanation:
4 wands = 6 rands -> 6*4=24 so 4*4=16 -> 16 wands = 24 rands (1 wand=1.5 rand)
24 rands = 8 fands -> 24/8 = 3 -> 3 rands = 1 fand
3 rands means 1.5*3=4.5 -> 4.5 wands = 1 fand -> 4.5*5=22.5 wands
Answer:
Mark
Step-by-step explanation:
<u>Concepts + Application</u>
The velocity, in this case, is the speed of each friend's car while traveling to Charleston. To find the speed, we divide the number of miles (aka the distance) by the number of hours. The friend with the greatest quotient is the one who traveled at the highest velocity.
<u>Solution</u>
250 ÷ 5 = 50
240 ÷ 4 = 60
135 ÷ 3 = 45
110 ÷ 2 = 55
As you can see, 60 mph is the greatest velocity, so the person who traveled at the highest velocity to Charleston is Mark.
First, we will find the value of k
We can do this by sybstituting y=24, x=6 in;
y=kx and then solve for k
24= k(6)
divide both-side of the equation by 6
24/6 = k
4 = k
k=4
Then when x = 5, we will substitute x=5 and k=4 in; y=kx and then solve for y
y= (4)(5)
y = 20