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3 years ago

9

Maria handed out 125 flyers that gave students the time and locationtry outs for the school volleyball team. What is 125 written

inexponential notation?

2 answers:

AURORKA [14]3 years ago

5 0

<span>First Step: Ask yourself, what number multiplied by itself a number of times, would equal 125</span>125=5^3

Temka [501]3 years ago

4 0

One way is to factor and see which ones repeat

125=5*5*5
it is 5 times itself 3 times
5^3

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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

denis-greek [22]

Answer:

B

Step-by-step explanation:

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3 years ago

A student said we cannot subtract 1.97 from 20 because one 1.97 has two decimal digits and 20 has none do you agree with this st

Pie

Answer: We can

Step-by-step explanation: 20.00

- 1.97

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3 years ago

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anzhelika [568]

Answer:

m<b=107º

Step-by-step explanation:

180-41-32=107

D and B are congruent

3 0

3 years ago

A regular triangular pyramid has a base and lateral faces that are congruent equilateral triangles. It has a lateral surface are

TEA [102]

We know that

[lateral surface area of a regular triangular pyramid]=3*[area of one <span>equilateral triangle]
so
[area of one </span>equilateral triangle]=lateral surface/3-----> 81/3-----> 27 ft²

[<span>surface area of the regular triangular pyramid]=lateral area+area of the base

area of the base is equals to the area of the lateral sides because are </span>equilateral triangles

therefore
area of the base=27 ft²

[surface area of the regular triangular pyramid]=81+27----> 108 ft²

the answer is
<span>the surface area of the regular triangular pyramid is 108 ft</span>²

4 0

3 years ago