Answer:
The initial population of fish is 100.
Step-by-step explanation:
The population of a fish farm is modeled by the following equation:

What is the intial population of fish
This is P(0)
Any non-zero value elevated to zero is 1. So

Answer:
28
Step-by-step explanation:
27 x 2 = 54
13 x 2 = 26
54 - 26 = 28
Answer:
7+5x+9=−3x
7+5(-2)+9=−3(-2)
7+-10+9=6
-3+9=6
6=6
Step-by-step explanation:
7+5x+9=−3x
7+5(-2)+9=−3(-2)
7+-10+9=6
-3+9=6
6=6
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>
Answer:
half a batch
Step-by-step explanation:
half of half a lb is 1/4 therefore you can make one batch