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VikaD [51]
3 years ago
7

What is the center of the hyperbola whose equation is = 1?

Mathematics
2 answers:
denis23 [38]3 years ago
7 0

Answer:

Step-by-step explanation:

3. -6

german3 years ago
7 0

Answer:

<h2>The answer is d (6,−3)</h2>

Step-by-step explanation:

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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
8 workers complete the construction of wall 6 days. How many workers are needed to complete the construction in 4 days?
ElenaW [278]

Answer:

I came up with -12

Step-by-step explanation:

8 workers = 6 days to complete

x workers = 4 days faster to complete

6/4=1.5 days faster

1.5 x 8 = 12 workers needed to complete the wall in fours days

8 0
2 years ago
Msh
Rudiy27

a Anna drives her sisters at an a average of 60 mph and devive home

3 0
3 years ago
5,000 is 1/10 of blank
Olin [163]

Answer:

blank = 50,000

Step-by-step explanation:

6 0
3 years ago
Someone please explain how to do this problem? :)<br><br> Factor completely 2c5 + 44c4 + 242c3.
frez [133]
<span><span><span>2<span>c5</span></span>+<span>44<span>c4</span></span></span>+<span>242<span>c3</span></span></span><span><span><span>2<span>c5</span></span>+<span>44<span>c4</span></span></span>+<span>242<span>c3</span></span></span><span>=<span><span><span>2<span>c3</span></span><span>(<span>c+11</span>)</span></span><span>(<span>c+11</span><span>)</span></span></span></span>
8 0
3 years ago
Read 2 more answers
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