Answer: There are 90 different schedules are possible for Molly Kay.
Step-by-step explanation:
Since we have given that
Three time scheduled at 8:00, 10:00, 11:00.
Number of courses offer at 8:00 = 5
Number of courses offer at 10:00 = 9
Number of courses offer at 11:00 = 2
So, the number of different schedules are possible for Molly Kay is given by

Hence, there are 90 different schedules are possible for Molly Kay.
Take the dot product, if the dot product is zero, they are orthogonal
<span>the dot product here is 15(-5) + 45(12) so the vectors are not orthogonal </span>
<span>to see if they are parallel, take the dot product again, using the definition </span>
<span>u dot v = mag u x mag v cos (theta) where mag is the magnitude of the vector and theta is the angle between them </span>
<span>we know from above that u dot v = 465 </span>
<span>mag u = sqrt[15^2+45^2]=47.43 </span>
<span>mag v = sqrt[5^2+12^2]=13 </span>
<span>so we know: </span>
<span>cos(theta) = 465/(47.43x13) = 0.75 </span>
<span>
so theta = 41 deg</span>
The answer is D. Think of the Pythagorean Theorem which states that a^2 + b^2 = c^2. The Pythagorean Identities used in trigonometry are the angle version which can be used to simplify expressions.
Answer:
2.5 * 10^-5
Step-by-step explanation:
2.5 * 10^-5
If the number is between 1 and -1 excluding 0. Then
count the number of zeros
add 1 more
write the notation of where you put the decimal place
The power is minus and equal to the number of zeros + 1
0.000025
zeros: the number of zeros = 4
Add 1: 4 + 1 = 5
Decimal goes between the 2 and the 5
2.5
Power: = - 5
Answer: 2.5 * 10^-5
Answer: In your problem you will have to combine liked terms, and you can't combine non-like terms. After you combine your liked terms you will get your answer.