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3 years ago

HELP PLEASE

Mathematics

2 answers:

Gnesinka [82]3 years ago

7 0

Answer: $x^2=8y$

Step-by-step explanation:

Let the given parabolic mirror opens upwards and vertex=(0,0)

Focus point of the parabolic mirror is located 2 inches from the vertex of the mirror. ∴ p=2

Since, the parabola opens upward, then the equation of the parabola is of the form $x^2=4py$

Substitute the value of p=2 in this, we get the equation of the parabolic mirror

$x^2=4(2)y\\\Rightarrow\ x^2=8y$

Hence, the equation of the parabola that models the cross section of the mirror is $x^2=8y$

faust18 [17]3 years ago

5 0

An equation of the parabola that models the cross section of the mirror is y = 1/8 × x² I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

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Keisha, Boris, and Jose sent a total of 126 text messages over their cell phones during the weekend. Boris sent 4 times as many

tangare [24]

Answer:

Boris=504 keisha=120

Step-by-step explanation:

First you would start off by Multiplying 4x126 the result of that is= 504 so thats how much Boris sent. To get the answer to how many jose sent you simply just subtract 6-126 and that should result in 120

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3 years ago

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Answer:

x=-4

Step-by-step explanation:

-18=2+5x

Subtract 2 from both sides

-20=5x

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3 years ago

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2 years ago

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A cold drink is poured out at 52°F. After 2 minutes of sitting in a 72°F room, its temperature has risen to 55°F. Find an equati

I am Lyosha [343]

Answer:

The model for the temperature of the drink can be written as

$T=72-20e^{-0.08t}$

Step-by-step explanation:

For a cold drink in a hotter room, we can say that the rate of change of temperature of the drink is proportional to the difference of temperature between the drink and the room.

We can model that in this way

$\frac{dT}{dt}=k*(T_r-T)$

If we rearrange and integrate

$\int\frac{dT}{(T-Tr)} =-k*\int dt\\\\ln(T-T_r)=-kt+C1\\\\T-T_r=Ce^{-kt}\\\\T=T_r+Ce^{-kt}$

We know that at time 0, the temperature of the drink was 52°F. Then we have:

$T=T_r+Ce^{-kt}\\\\52=72+Ce^0=72+C\\\\C=-20$

We also know that at t=2, T=55°F

$T=T_r+Ce^{-kt}\\\\55=72-20e^{-k*2}\\\\e^{-k*2}=(72-55)/20=0.85\\\\-2k=ln(0.85)=-0.1625\\\\k=0.08$

The model for the temperature of the drink can be written as

$T=72-20e^{-0.08t}$

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3 years ago

57°F find in degrees Celsius

sesenic [268]

57° F is converted to: 13.889° Celcius if you don't factor to the nearest tenth. Doing so would make it 13.9° Celcius.

I hope this is the answer you were looking for and that it helps!! :)

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3 years ago

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