Answer:
27 degrees
Step-by-step explanation:
We are given that Angle AEF is 63. We can also see that EAF is a right angle. Since angles in a triangle add up to 180, we can use this to solve for AFE:
Angle AEF + EAF + AFE = 180
63 + 90 + AFE = 180
153 + AFE = 180
AFE = 27
<em>Or we can solve it another way</em>
Since EAF is a right angle, the other angles are complementary (they add up to 90) so...
Angle AEF + AFE = 90
63 + AFE = 90
AFE = 27
The equation in slope-intercept form to represent the relationship between hours worked (x) and earnings in dollars (y) is y = $5 + $15x.
An equation in slope intercept form is usually written as: y = mx + b
Where:
If I earn $15 per hour when I babysit, the amount I earn increases by $15 every hour. $15 is the slope of the equation. After 3 hours, the total amount I would earn is: $15 x 5 = $45.
In order to determine the intercept, subtract $45 from $50.
$50 - $45 = $5.
A similar question was solved here: brainly.com/question/15355500
Let X be the number of energy drinks sold.
The manufacturer of an energy drink spends $1.20 to make each drink and sells them for two dollars the manufacturer also has fixed cost each month of $8000.
The manufacturing cost for X energy drinks is

Fixed cost is $8000.
Therefore, cost function is

Selling price of each drink is $2.
Therefore, the revenue function is

Hence, the revenue function is
Answer:
a) 1/27
b) 16
c) 1/8
Step-by-step explanation:
a) 
One of the properties of the exponents tells us that when we have a negative exponent we can express it in terms of its positive exponent by turning it into the denominator (and changing its sign), so we would have:

And now, solving for x = 9 we have:

b) 
This is already a positive rational exponent so we are just going to substitute the value of y = 8 into the expression

c) 
Using the same property we used in a) we have:

And now, solving for z = 16 we have:

Answer:
9/16 into a decimal is 0.5625