Answer:
8 grams
Step-by-step explanation:
The balance is in equilibrium, so the weights of the two sides are equal.
Let the weight of a square be s.
Left side: 2s + 4
Right side: s + 3(4) = s + 12
The weights are equal, so we set the two expressions equal.
2s + 4 = s + 12
s = 8
Answer: The weight of a square is 8 grams.
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Answer:
Step-by-step explanation:
x 1 = π , x 2 = 3 π/ 2
y 1 = - 1, y 2 = 2
The Rate of change = ( y 2 - y 1) / ( x 2 - x 1 )=
= [2 -( -1 )] : ( 3 π /2 - π ) = 3 : π/2 = 6 / π <em>≈ 1.91 </em>
Answer:

General Formulas and Concepts: <u>
</u>
<u>Algebra I</u>
- Exponentials [Fractions] - Are radicals
- Exponential Rule [Rewrite]:
<u>Calculus</u>
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Product Rule: ![\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%20%5Bf%28x%29g%28x%29%5D%3Df%27%28x%29g%28x%29%20%2B%20g%27%28x%29f%28x%29)
Step-by-step explanation:
<u>Step 1: Define</u>

<u>Step 2: Differentiate</u>

- Product Rule:
![\displaystyle y' = \frac{d}{dx}[\sqrt{x}] \cdot (8x - 5) + \sqrt{x} \cdot \frac{d}{dx}[(8x - 5)]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%27%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5B%5Csqrt%7Bx%7D%5D%20%5Ccdot%20%288x%20-%205%29%20%2B%20%5Csqrt%7Bx%7D%20%5Ccdot%20%5Cfrac%7Bd%7D%7Bdx%7D%5B%288x%20-%205%29%5D)
- Rewrite:
![\displaystyle y' = \frac{d}{dx}[x^{\frac{1}{2}}] \cdot (8x - 5) + \sqrt{x} \cdot \frac{d}{dx}[(8x - 5)]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%27%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bx%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%5D%20%5Ccdot%20%288x%20-%205%29%20%2B%20%5Csqrt%7Bx%7D%20%5Ccdot%20%5Cfrac%7Bd%7D%7Bdx%7D%5B%288x%20-%205%29%5D)
- Basic Power Rule:

- Simplify:

- Rewrite:

- Multiply:

- Rewrite:

- Add/Rewrite:

Total salary = 909.50
Out of this, overtime salary was = 229.50
Normal salary for 40 hours was = 909.50 - 229.50 = 680
Hourly rate = 680/40 = 17
Overtime is time and half = 17 + 17/2 = 17 + 8.5 = 25.5
Number of overtime hours = 229.50/25.5 = 9 hours
4 0.02
Step-by-step explanation:
you have to subtract 0.06 from 0.04