For complex number, the magnitude is pretty straight forward:
sqrt(6^2 + 2^2) = sqrt(40)
For any a + bi, the magnitude will be sqrt(a^2 + b^2)
<span>1. How much heat is absorbed by a 50g iron skillet when its temperature rises from 10oC to 124oC? Joules
Formula: Heat = mass * specific heat * ΔT
Data:
mass = 50 g = 0.050 kg
specific heat of iron = 450 J/ kg °C
ΔT = 124°C - 10°C ¿ 114 °C
=> heat = 0.050kg * 450 J / kg°C * 114°C ≈ 2.6 J
2. If a refrigerator is a heat pump that follows the first law of
thermodynamics, how much heat was removed from food inside of the
refrigerator if it released 492J of energy to the room? Joules
The firs law of thermodynamics is conservation of energy => energy removed from inside of the refrigerator = energy released to the room
=> Answer = 492 J
3. How much heat is needed to raise the temperature of 45g of water by 63oC? Joules
Formula: heat = mass * specific heat * ΔT
specific heat of water = 4186 J / Kg °C
heat = 0.045 kg * 4186 J/kg °C * 63°C = 11,867.31 J
</span>
14.4 inches / 9 = 1.6 inches
Each column is 1.6 in wide
9514 1404 393
Answer:
13.8654599313 and -0.8654599313
Step-by-step explanation:
If one of the numbers is x, then the other is 13-x, and their product is ...
x(13 -x) = -12
x^2 -13x = 12 . . . . multiply by -1 and simplify
x^2 -13x +6.5^2 = 12 +6.5^2 . . . . complete the square
(x -6.5)^2 = 54.25
x -6.5 = √54.25
x = 6.5 +√54.25 ≈ 13.8654599313
and the other number is ...
13 -x = 13 -13.8654599313 = -0.8654599313
The two numbers are 13.8654599313 and -0.8654599313.
Answer:
141x
Step-by-step explanation:
I just did PEMDAS
3x^2-33x-180
multiplied 3x^2 and got 6x
Subbed 180 by 33 and got 147x
then I subbed 147x by 66x and got 141x
