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3 years ago

PLEASE HELP !!!!!!! does any one know how to write 95.417 in expanded form with multiplication

Mathematics

1 answer:

mixer [17]3 years ago

7 0

Answer:

Step-by-step explanation:

The 9 in 95 tells us how many tens are in the number 95.417; the 5 tells us how many ones, and the 4 how many tenths. And so on.

Thus,

95.417 = 9*10^1 + 5*10^0 + 4*10^(-1) + 1*10^(-2) + 7*10^(-3)

is 95.417 in expanded form, with each digit multiplying a power of 10.

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4 years ago

After heating up in a teapot, a cup of hot water is poured at a temperature of 210°F. The cup sits to cool in a room at a temper

Fiesta28 [93]

Newton's Law of Cooling:

$T(t)=T_{s}+(T_{o}-T_{s})e^{-kt}$

$T(t) =$ Temperature given at a time

$t =$ Time

$T_{s} =$ Surrounding temperature

$T_{o}=$ Initial temperature

$e =$ Constant (Euler's number) ≈ 2.72

$k =$ Constant

Using this information, find the value of $k$ , to the nearest thousandth, then use the resulting equation to determine the temperature of the water cup after 4 minutes.

First, plug in the given values in the equation and solve for $k$ :

$T(t) =$ 197°, $t =$ 1.5 minutes, $T_{s} =$ 70° and $T_{o}=$ 210°

$T(t)=T_{s}+(T_{o}-T_{s})e^{-kt}\\197=70+(210-70)e^{-1.5k} \\197 -70 = (140)e^{-1.5k} \\127 =(140)e^{-1.5k}\\\frac{127}{140}=e^{-1.5k} \\ln(\frac{127}{140})=-1.5k\\-0.097=-1.5k\\0.0649 = k$