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Leto [7]
2 years ago
15

Solve for x. X2 - 20x+ 100 = 0

Mathematics
1 answer:
lianna [129]2 years ago
8 0

Answer:

X will equal 10 x=10

Step-by-step explanation:

First subtract 100 from both sides to get x^2-20x=-100 then find c. (-b/2)^2 is the formula. then c=100 so add 100 to both sides. x^2-20x+100=200. Then Factor. (x-10)^2=0 is what you should get. then do square root. x-10=0. So now add 10 to both sides and you get x=10. Tada!

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3 years ago
A number in expanded form is shown. 4×1+3×1/100+9×10+5×1/10
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After heating up in a teapot, a cup of hot water is poured at a temperature of 204°F.
laila [671]

Answer:

  • Question 1: 0.081 min⁻¹
  • Question 2: 168ºF

Explanation:

The missing equation is:

             T=T_a+(T_0-T_a)e^{-kt}

You are given:

  • Ta = the temperature surrounding the object = 73ºF
  • T₀ = the initial temperature of the object = 204ºF
  • t = 2.5 min
  • T after 2.5 min = 180ºF

Question 1: Find the the value of k.

Substitute the data into the equation and solve for k:

          180\º=73\º+(204\º-73\º)e^{-k\cdot 2.5min}\\ \\ 107\º=131\ºe^{-k\cdot 2.5min}\\\\-k\cdot 2.5min=\ln (107/131)\\\\k=0.081min^{-1}

Question 2: Find the Fahrenheit temperature of the cup of water, to the nearest degree, after 4 minutes.

Subsititute into the formula and compute:

            T=73\ºF+(204\ºF-73\ºF)e^{-0.081min^{-1}\times 4min}\\ \\ T=73\ºF+(131\ºF)(0.72325024)\\\\T=168\ºF

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Answer:

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Answer:

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Step-by-step explanation:

3 0
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