Answer:
698.5
Step-by-step explanation:
Time-and-a-half. Time-and-a-half is payment to a worker (or workers) at 1.5 times their usual hourly rate.
11×1.5=16.5 $ per hour
16.5 ×7 =115.5 $ - total for overtime
11×2 = 22$ per hour
22×6.5= 143$ - total for double time payment
440+143+115.5 = 698.5 $ - total earnings
The system of equations have no solution.
Explanation:
The equations are
and 
To find the two numbers, let us solve the equations using substitution method.
From the equation
, let us determine the value of r,

Let us substitute the value of r in
, we get,

which is not possible.
This means that the system has no solution.
Answer:
y =
x + 1
Step-by-step explanation:
Slope is rise over run, or the vertical progression over the horizontal progression.
Your example has a line that heads downwards, so we know that the slope is negative. If we count the squares, the "rise" is down by 4. We count the squares going horizontally and there are 5. So, your slope is
.
The other half of the equation is the y-intercept, or where the line crosses the y axis. It appears to be at (0 , 1), so we can say that your y-intercept is 1.
Step-by-step explanation:
A left Riemann sum approximates a definite integral as:

Given ∫₂⁸ cos(x²) dx:
a = 2, b = 8, and f(x) = cos(x²)
Therefore, Δx = 6/n and x = 2 + (6/n) (k − 1).
Plugging into the sum:
∑₁ⁿ cos((2 + (6/n) (k − 1))²) (6/n)
Therefore, the answer is C. Notice that answer D would be a right Riemann sum rather than a left (uses k instead of k−1).
Answer: A
Step-by-step explanation: Because it can be simplified twice.