What is 2x 2 5/6 I need help due in 6 min
1 answer:
You might be interested in
Answer:
Her hourly rate is <u>$14</u>.
Step-by-step explanation:
Given:
Penelope goes to work after school for 4.5 hours on Mondays, Tuesdays, and Fridays.
She works 8 hours each on Wednesdays or Thursdays.
Now, to find her hourly rate.
So, total hours Penelope work on Mondays, Tuesdays, and Fridays:
And, total hours she work on Wednesdays and Thursdays:
Now,<em><u> the total hours each week she work:</u></em>
<u><em>Total money she makes each week</em></u> = $413.
Now, to get the hourly rate we divide the total hours each week she work by total money she makes each week:
Therefore, her hourly rate is $14.
The exact length of the curve given the following system of inequalities is ≈ 1637.
<h3>What is a system of inequalities?</h3>A system of inequalities refers to a set of two or more inequalities with one or more variables. This kind of system is used when a problem needs a range of solutions a there is over one constraint.
<h3>What is the length of the curve with the above system of inequalities?</h3>Step One - Let's restate the equations
We have:
x = 5 + 9t²
y = 4 + 6t³
Where
0 ≤ t ≤ 3
Step 2 - Differentiate them
The first derivative of dx/dt
= d/dt [9t² + 5)
= 9 * (d/dt) (t²) + (d/dt) (5)
= 9.2t + 0
= 18t
Also differentiate (dy/dt)
= d/dt [6t² + 4]
= 6 * (d/dt) [t³] + (d/dt) [4]
= 6.3 t² + 0
= 18t²
To find the length of the arc:
L =
We can thus deduce that:
=
=
Compute the definite integral and factor out the constraints and we have:
dt = 4912/3
≈ 1,637.3
Hence the exact length of the curve is
≈ 1637
Learn more about the system of inequalities at:
brainly.com/question/9774970
#SPJ1