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2 years ago

Please help me with #2

Mathematics

1 answer:

scoray [572]2 years ago

8 0

Answer:

Step-by-step explanation:

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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 number is equivalent to the improper fraction 35/4

bulgar [2K]

Step-by-step explanation:

If you want to make the improper fraction into a mixed fraction/decimal;

35/4 = 32/4 + 3/4 = 8 3/4 = 8.75.

8 0

2 years ago

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60 PTS PLS ANSWER WILL AWARD BRAINLIEST ASAP

pishuonlain [190]

Answer:

9. a) 180 - (55+90) = a

b) a=35 degrees

10. a) 2w + 3w + 40 = 180

b) w=28

c) 2w=56 3w=84

Step-by-step explanation:

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2 years ago

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Describe relationship I WILL MARK BRAINLIEST IF YOU GET IT RIGHT

oee [108]

Answer:

cleetus

Step-by-step explanation:

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2 years ago

Mario had 9 green,8 red 10 brown 6 orange and 9 blue M &M's. What fraction of the M&M's are orange?

IrinaK [193]

2/11 or 6/33
hope it helps

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2 years ago