Answer:
Step-by-step explanation:
Percent Error = | Actual Yield-Theoretical/ Theoretical Yield | *100%
Error= |-1/7|*100%= 14.29%
Answer:
$9
Explanation:
First, we need to find 70% of the original price of $30 using the following equation:

It means that Emma pays $21 less than the original price. So, she pays:
$30 - $21 = $9
Therefore, the answer is $9
According to the Fundamental Theorem of Algebra, the number of roots of a polynomial is equal to the degree of the polynomial. The degree of the polynomial is the highest exponent of a term in the polynomial.
Looking at the function, the term with the highest exponent is 8x7. The exponent is 7; therefore, the function has 7 roots.
Answer:
Given that:

where
L(t) represents the length of each day(in minutes) and t represents the number of days.
Substitute the value of L(t) = 750 minutes we get;

Subtract 728 from both sides we get;

Divide both sides by 52 we get;

or

Simplify:

or

Simplify:
days
Therefore, the first day after the spring equinox that the day length is 750 minutes, is 25 days
The vector v is given by:
v = (7, 2) - (-5, 0)
v = ((7 - (- 5)), (2-0))
v = ((7 + 5), 2)
v = (12, 2)
Then, the angle is given by:
tan (theta) = 2/12
theta = atan (2/12)
theta = 9.46 degrees
Answer:
The direction angle of vector to the nearest tenth of a degree is:
theta = 9.5 degrees