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iogann1982 [59]
4 years ago
15

3/2+t=1/2 how to slove

Mathematics
2 answers:
Nataly [62]4 years ago
8 0
First, let's isolate t! Make sure to change your signs when you change from one side of the equation to the other. 

3/2 + t = 1/2
          t = 1/2 - 3/2

Now, we can solve for t!
          
          t = 1/2 - 3/2
          t = -2/2
          t = -1

Hope this helps!
Message me if you have any questions :)
nydimaria [60]4 years ago
5 0
<span>t+3/2 = 1/2 - 1/2

t+3/2-(1/2) = 0

t+3/2-1/2 = 0

t+1 = 0 - 1

t = -1
</span>
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What expressions represent 1/3 times the sum of 8 and 4
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Answer:

1/3 * (8 + 4)

Step-by-step explanation:

Expression which represents 1/3 tines the sum of 8 and 4

Expressing mathematically,

Sum of 8 and 4 is written as (8 + 4)

1/3 of the sum is expressed as ; 1/3 x (8 + 4)

Hence,

1/3 * (8 + 4)

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Expression is 1/3 * (8 + 4)

Result = 4

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Answer:

Option (D) is correct.

Step-by-step explanation:

A function can be termed as a process from a set of x values to a set of possible y-values where each x-value relates to exactly one y-value.

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Given the sets

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Set C: (2, 1), (4, 2), (2, 3), (8,4)

It is clear that sets A and B represent the function because, in these sets, each x-value relates to exactly one y-value. In other words, there are no duplicated inputs.

But, set C has duplicated inputs i.e. x = 2 is repeated twice, and a function can not have a repeated input.

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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
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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

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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}

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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}

7 0
4 years ago
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