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Masja [62]
3 years ago
9

Identify and explain the error made in the following:2x + 8x = 10x^2

Mathematics
1 answer:
Step2247 [10]3 years ago
8 0
It shouldn’t have ^2
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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

4 0
3 years ago
which descriptions from the list below describe the relationship between xyz and uvw check all that apply
Cloud [144]

Answer:

similar and same shape.

Step-by-step explanation:

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Estimate the area of the parallelogram.
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The answer to this is C. 72
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3 years ago
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Round 6.09933418366 to 4 decimal places
telo118 [61]

Answer:

6.113 i believe to be so

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Solve 2/3 divided by 4/5<br><br> a.6/15<br> b.6/8<br> c.8/15<br> d.5/6
Bumek [7]

Answer:

d.5/6

Step-by-step explanation:

2/3÷4/5

2/3×5/4

5/6

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3 years ago
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