Answer:
The roots of the equation are
and 
Step-by-step explanation:
The roots of a quadratic equation y = ax² + bx + c are the values of x at y = 0
∵ y = x² + 2
- To find the roots of it equate y by 0
∴ 0 = x² + 2
- Switch the two sides
∴ x² + 2 = 0
- Subtract 2 from both sides
∴ x² = -2
- Take √ for both sides
∴ x = ± 
- There is no square root for negative numbers
∴ There is no real roots for this equation but there are imaginary roots
∵ 
∴ 
- Substitute
by 
∴ 
∴ 
∴ The roots of the equation are
and 
According to reliable sources online, the FICA rate last 2010 amounted to 6.2%. The amount deducted to Eleanor's pay monthly is calculated by multiplying the monthly pay and the rate. That is,
FICA (monthly) = ($2,478.15)(0.062)
= $153.636
Multiplying that amount by 12 (since there are 12 months in a year) is equal to $1843.632. Thus, $1843.632 was deducted from Eleanor's pay last 2010 for FICA.
Answer:
Step-by-step explanation:
Para sacar fracciones equivalentes tienes que multiplicar el numerador y denominador por el mismo numero, por ejemplo varias fracciones equivalentes a 1/3: 2/6, 3/9, 4/12, 5/15.
1. Potential Energy = mgh
h = U_g / (mg) = 14 / (17 * 9.81) = <u>0.084 m above the ground.</u>
2. Kinetic Energy = 1/2 mv^2
m = 2K_e / (v^2) = <u>2.45 kg</u>
3. U_g = mgh = (1200)(9.81)(24) = <u>282528 J</u>
4. U_g = mgh = (478)(9.81)(150) = <u>703377 J</u>
5. U_g = mgh = (100)(9.81)(12.5) = <u>12262.5 J</u>
6. h = U_g / (mg) = 14 / (17 * 9.81) = <u>0.084 m above the ground.</u>
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7. m = U_g / (gh) = 1500 / (9.81 * 35) = <u>4.37 kg</u>
Answer:
2.5
Step-by-step explanation: