<h3>
Answer: C) Neither even nor odd</h3>
Explanation:
The graph is not symmetric about the y axis, which tells us that the function is not even.
All odd functions pass through the origin, so this function is not odd either.
Answer:
Explanation:
<u>Equation:</u>
This is a decaying exponential function, because the exponent is negative.
Then, the larger the value of t (number of months), the smaller A (the number of hectares).
The factor 1,562.5 is the initial number of hecares, when t = 0.
You must find the value of t when A equals 500, thus solve the equation:
Divide both sides by 1,562.5
Take base-10 logarithms on both sides:
Note that the logarithm of a number decimal number is negative number, thus t will be positive. When you compute that, it is about 4.9 months.
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 correct answer is 60 percent because all probabilities must add to 100%
