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Tema [17]
3 years ago
11

16 is the geometric mean of 8 and what other number?

Mathematics
1 answer:
zepelin [54]3 years ago
8 0
It is also the geometric mean of 4
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What is the value of a if a is equal to a×a×a=a+a+a
bagirrra123 [75]

Answer:

a = ±sqrt(3)

Step-by-step explanation:

a×a×a=a+a+a

Simplifying each side

a^3 = 3a

Divide each side by a

a^3 /a = 3a/a

a^2 = 3

Take the square root of each side

sqrt(a^2) = ±sqrt(3)

a = ±sqrt(3)

8 0
2 years ago
Read 2 more answers
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
Riley is saving up to buy a new television. She needs a total of $968.58. Riley has saved $200.78 already and earns $76.78 per w
attashe74 [19]
968.58=200.78+76.78w
-200.78
767.8=76.78w
/76.78
=10w
Riley must save for 10 weeks
8 0
3 years ago
Human beings have discovered an inhabitable planet and soon after, they find 10 more inhabitable planets. Of these 11, only 5 ar
Tatiana [17]

5 of the planets are earth like and 2 are mars like

5 * 2 = 10

<u>1 * 2 = 2</u>

Total 12

4 earth like and 4 mars like

Earth = 4*2 = 8

<u>Mars = 4 * 1 = 4</u>

Total 12

3 Like Earth 6 like mars

Earth 3 * 2 = 6

<u>Mars 6 * 1 = 6</u>

Total 12

Those answers are the only ones possible.

3 0
3 years ago
What is the answer to this problem?
elena55 [62]

The statement 'of ' represents multiplication.

thus, baby = 1/40 * 120 = 3 tons.

1 ton is 2000 pounds.

Hence, 3 is 6000 pounds.


4 0
3 years ago
Read 2 more answers
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