1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zaharov [31]
3 years ago
10

Penny works 44 hours at an hourly rate of $8.50. She was paid time and a half for the overtime of 4 hours. What were her total w

ages?
Mathematics
1 answer:
Otrada [13]3 years ago
5 0

Answer:

Time and a half pay is 50% more than an employee's regular rate of pay. For every hour of overtime an employee works, you must give them their regular rate of pay plus half of that. To calculate an employee's overtime rate of pay, multiply their regular rate by 1.5.

Step-by-step explanation:

You might be interested in
Hat is the product of 4.01 × 10-5 and 2.56 ×108?
ASHA 777 [7]

Answer:

35.1 and 276.48

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Bob,Cal,and Pete each made a stack of baseball cards.Bob's stack was 0.2 meter high.Cal's stack was 0.24 meter high.Pete's stack
AlekseyPX

Answer:

0.24 > 0.18

Step-by-step explanation:

Given that,

Bob's stack = 0.2m

Cal's stack = 0.24m

Pete's stack = 0.18m

To find?

A number sentence.

<em>A simple sentence is a string/collection of words that contain a subject and a verb whereas a number sentence is a sentence that consist of </em><em>mathematical operation</em><em> like +, -, /, * together with an equality such as =, <, >, and like a sentence it also tell a fact.</em>

<em> </em>So, the number sentence that compares cal's stack of cards to Pete's stack is

<h2>0.24 > 0.18</h2>

<em />

<em />

<em>  </em>

6 0
3 years ago
Read 2 more answers
Calculus 3 help please.​
Reptile [31]

I assume each path C is oriented positively/counterclockwise.

(a) Parameterize C by

\begin{cases} x(t) = 4\cos(t) \\ y(t) = 4\sin(t)\end{cases} \implies \begin{cases} x'(t) = -4\sin(t) \\ y'(t) = 4\cos(t) \end{cases}

with -\frac\pi2\le t\le\frac\pi2. Then the line element is

ds = \sqrt{x'(t)^2 + y'(t)^2} \, dt = \sqrt{16(\sin^2(t)+\cos^2(t))} \, dt = 4\,dt

and the integral reduces to

\displaystyle \int_C xy^4 \, ds = \int_{-\pi/2}^{\pi/2} (4\cos(t)) (4\sin(t))^4 (4\,dt) = 4^6 \int_{-\pi/2}^{\pi/2} \cos(t) \sin^4(t) \, dt

The integrand is symmetric about t=0, so

\displaystyle 4^6 \int_{-\pi/2}^{\pi/2} \cos(t) \sin^4(t) \, dt = 2^{13} \int_0^{\pi/2} \cos(t) \sin^4(t) \,dt

Substitute u=\sin(t) and du=\cos(t)\,dt. Then we get

\displaystyle 2^{13} \int_0^{\pi/2} \cos(t) \sin^4(t) \, dt = 2^{13} \int_0^1 u^4 \, du = \frac{2^{13}}5 (1^5 - 0^5) = \boxed{\frac{8192}5}

(b) Parameterize C by

\begin{cases} x(t) = 2(1-t) + 5t = 3t - 2 \\ y(t) = 0(1-t) + 4t = 4t \end{cases} \implies \begin{cases} x'(t) = 3 \\ y'(t) = 4 \end{cases}

with 0\le t\le1. Then

ds = \sqrt{3^2+4^2} \, dt = 5\,dt

and

\displaystyle \int_C x e^y \, ds = \int_0^1 (3t-2) e^{4t} (5\,dt) = 5 \int_0^1 (3t - 2) e^{4t} \, dt

Integrate by parts with

u = 3t-2 \implies du = 3\,dt \\\\ dv = e^{4t} \, dt \implies v = \frac14 e^{4t}

\displaystyle \int u\,dv = uv - \int v\,du

\implies \displaystyle 5 \int_0^1 (3t-2) e^{4t} \,dt = \frac54 (3t-2) e^{4t} \bigg|_{t=0}^{t=1} - \frac{15}4 \int_0^1 e^{4t} \,dt \\\\ ~~~~~~~~ = \frac54 (e^4 + 2) - \frac{15}{16} e^{4t} \bigg|_{t=0}^{t=1} \\\\ ~~~~~~~~ = \frac54 (e^4 + 2) - \frac{15}{16} (e^4 - 1) = \boxed{\frac{5e^4 + 55}{16}}

(c) Parameterize C by

\begin{cases} x(t) = 3(1-t)+t = -2t+3 \\ y(t) = (1-t)+2t = t+1 \\ z(t) = 2(1-t)+5t = 3t+2 \end{cases} \implies \begin{cases} x'(t) = -2 \\ y'(t) = 1 \\ z'(t) = 3 \end{cases}

with 0\le t\le1. Then

ds = \sqrt{(-2)^2 + 1^2 + 3^2} \, dt = \sqrt{14} \, dt

and

\displaystyle \int_C y^2 z \, ds = \int_0^1 (t+1)^2 (3t+2) \left(\sqrt{14}\,ds\right) \\\\ ~~~~~~~~ = \sqrt{14} \int_0^1 \left(3t^3 + 8t^2 + 7t + 2\right) \, dt \\\\ ~~~~~~~~ = \sqrt{14} \left(\frac34 t^4 + \frac83 t^3 + \frac72 t^2 + 2t\right) \bigg|_{t=0}^{t=1} \\\\ ~~~~~~~~ = \sqrt{14} \left(\frac34 + \frac83 + \frac72 + 2\right) = \boxed{\frac{107\sqrt{14}}{12}}

8 0
1 year ago
What is b plus 14 written a expression
Romashka-Z-Leto [24]
Answer: b+14
Hope it helps :)
6 0
3 years ago
71 to the nearest tenth
xeze [42]

Answer:

ft76d956

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • I need help with this
    13·1 answer
  • Jasmine is painting a rectangular wall in her bedroom that has a base of 12 feet and a height of 8 feet. There is a square windo
    8·1 answer
  • Given: h(x)=-4x and g(x) = 3x +1<br> Find:<br> (nog)
    7·1 answer
  • The ratio of adults to children at a concert is expected to be 2 to 5. If 200 people attend, how many are expected to be childre
    14·1 answer
  • Will give BRAINLIEST - Can somebody help me with this math question?
    14·1 answer
  • Are two triangles ABC and A’B’C’ congruent ich hc = h‘c and sc = s‘c and alpha= alpha
    10·1 answer
  • PLEASE HELP due in 5 minutes thank you!!
    9·2 answers
  • When graphing the inequality. 2 - 8&gt; -20 is it open or closed dot, and is it shaded to the left or the right?​
    7·1 answer
  • Santa's favorite snack used to cost $1.45 a box. If the cost has gone up 15%, what's the price now?
    5·1 answer
  • FREE BRAINLIEST IF YOU ANSWER CORRECTLY &amp; FIRST!!!! ASAP PLEASE!!!
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!