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3 years ago

10

Type the length of the radius if the diameter is 6 cm

1 answer:

lyudmila [28]3 years ago

5 0

Answer:

3

radius= diameter/2

radius=6/2

radius=3

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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

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

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

4 0

3 years ago

48 is what percent of 120?

Nataliya [291]

Answer:

Step-by-step explanation:

57.6

8 0

2 years ago

Read 2 more answers

At a water park, 27 out of 90 tickets sold were child tickets. what percentage of the tickets were child tickets?

Alik [6]

You do 27 divided by 90 27/90=0.3 and then move the decimal two places which would give you 30%

3 0

3 years ago

How to solve 2(x+y)^2-9(x+y)-5

Aliun [14]

Answer:

2(x + y)² - 9( x + y ) -5 = 0

⇒2(x + y)² - 10 (x+y) +1(x+y) -5 = 0

⇒2(x+y)(x + y - 5 ) + 1(x + y -5 ) = 0

taking (x + y -5 ) common ,

⇒(x + y -5 )[2(x + y) + 1] =0

⇒(x + y -5)(2x + 2y +1) =0

hope , you got this

6 0

3 years ago

a woman earned wages of $34,600, received $1500 in interest from savings acxount, and contributed $2900 to a tax-deferred retire

xz_007 [3.2K]

Add them all.34,6000 and 15000 and 2900 and 4050

4 0

3 years ago