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2 years ago

PLEASE HELP ILL GIVE BRAINLIST

Mathematics

1 answer:

sdas [7]2 years ago

8 0

Answer:

Its hard to explain but essentially the zero in the 10 and 100 place cancels out the decimal essentially

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Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference between its te

Aleonysh [2.5K]

Answer:

t=5.18 minute

Step-by-step explanation:

Using Newton's law of cooling

$\frac{dT}{dt}=-k(T-T_{s})$

T is temperature of a cup of coffee at any time t $T_{s}$ , is the temperature of the surrounding and k is a constant of proportionality in this negative because temperature is decreasing.

$T(0)=190\\T(1)=170\\T_{s}=66$

$\frac{dT}{dt}=-k(T-T_{s})\\\frac{dT}{(T-T_{s})}=-k*dt\\\int\limits {\frac{1}{T-T_{s} } } \, dT=-\int\limits {k} \, dt\\ln(T-T_{s})=k*t+C\\e*ln(T-T_{s})=e^{k*t+C} \\T-T_{s}=e^{k*t}*e^{C}\\e^{C}=C\\T-T_{s}=e^{k*t}*C\\T=T_{s}+e^{k*t}*C$

To find constant knowing the time and the temperature the first step of the change of energy in cup of coffee

$T=T_{s} +e^{-k*t}*C\\ C=190-66=124\\170=66+124*e^{-k*2}\\ 170-66=124*e^{-k*2}\\ln(\frac{104}{124})=ln*e^{-k*2}\\-0.175=-k*2\\k=0.08794$

Now using the constant of decreasing can find the time to be a 145 temperature the cup of coffee

$145=66+124*e^{-k*t} \\145-66=124*^{-0.087*t}$

$ln(0.637)=ln*e(-0.087*t)\\-0.45=-0.087*t\\t=5.18minutes$

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3 years ago

Translate the sentence into an inequality The product of b and 3 is at least -22

Sedaia [141]

Answer:

$3b \geq -22$

Step-by-step explanation:

Product of of 3 and b is 3b

At least means greater than or equal too.

$3b \geq -22$

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2 years ago

In the rhombus,8y-6 . Find the value of y.

gregori [183]

I think that the answer to the question is 0.75

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3 years ago

An investment of $250 pays 11% annual interest, compounded quarterly. What is the interest earned in 10 years?

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The interest earned in 10 years is B. $739.97.

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3 years ago

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wendy is logging the number of video game levels she wins per hour. she has determined the function to be f(x) = 6x + 9, where x

True [87]

Since we are talking about real quantities (hours), x should be positive. Also, you need to take into account that Wendy needs to play in order to win game levels.
Therefore the domain will be: x > 0

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3 years ago