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Natali5045456 [20]
3 years ago
10

Which of the equations below could be the equation of this parabola?

Mathematics
1 answer:
Nonamiya [84]3 years ago
4 0

Answer:

Y=2x^2

Step-by-step explanation:

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I need help with this please...
Luda [366]
Answer:
I think it should be 56
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3 years ago
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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
An airplane descends 2.5 miles to an elevation of 7.55 miles. Find the elevation of the plane before its descent. The initial el
Zielflug [23.3K]

Answer:

8.75!

Step-by-step explanation:

the answer is x-2.5=6.25

6.25+2.50=8.75

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3 years ago
Using base ten blocks subtraction
GREYUIT [131]
Is their any multiple questions

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3 years ago
A survey study is to be made to estimate the proportion of residents of a certain suburb who favor the construction of a public
lesya [120]

Answer: 601

Step-by-step explanation:

When the prior estimate of population proportion is not given , the formula we apply to find sample size :

n=0.25(\dfrac{z^*}{E})^2

, where z* = critical z-value

E=Margin of error

Given : Margin of error = 0.04

Confidence level = 95%

We know that , according to the z-table , the critical value for 95% confidence interval = z*= 1.960

Then, the required sample size : n=0.25(\dfrac{1.960}{0.04})^2

n=0.25(49)^2

n=0.25(2401)=600.25\approx601

Hence, the required minimum sample size = 601

4 0
3 years ago
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