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1 year ago

Please help me may god bless your loved one(s) !!

Mathematics

1 answer:

egoroff_w [7]1 year ago

7 0

Answer:

A-270 EUROS

B-204 EUROS

C-876 EUROS

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Use the definition of the logarithmic function to find x. log4 0.25=x x=?

GREYUIT [131]

The answer is -1.

$log_4(0.25) =log_4( \frac{1}{4})= log_4(4^{-1} ) \\ \\ 
log(x^{a} ) = a*log(x) \\ \\ 
log_4(4^{-1} )= -1 *log_4(4) \\ \\ 
log_y(x) = \frac{log(x)}{log(y)} \\ \\ 
-1 *log_4(4) = -1* \frac{log(4)}{log(4)} = -1$

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3 years ago

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

8 A video game that usually costs $50 is on sale for $32.50

finlep [7]

The video game is on 35% discount.

Step-by-step explanation:

Cost of video game = $50

Price on sale = $32.50

Amount of discount = Original price - price on sale

$Amount\ on\ discount = 50-32.50\\Amount\ on\ discount= \$17.5$

Percentage = $\frac{Dicount\ Price}{Original\ Price}*100$

$Percentage=\frac{17.5}{50}*100\\Percentage=\frac{1750}{50}\\Percenatge=35\%$

The video game is on 35% discount.

Keywords: Percentage

Learn more about percentages at:

#LearnwithBrainly

6 0

2 years ago

A line passes through the points (7, -5) and (3, 1). Determine the slope of the line.

True [87]

Answer: -6/4 or 3.66666666666667

3 0

2 years ago

Which line plot displays a data set with an outlier?<br><br> Plz answer quickly!

iren2701 [21]

The answer is the first data set because remember, an outlier is a number in a data set that is extremely far away from all of the other numbers.

You can easily tell which one is the outlier, the first data set's outlier is 13, because it is was placed so far away from the other data points.

We know that the first data set is correct because all of the other data sets have numbers that are clustered together.

~Hope I helped!~

7 0

2 years ago