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3 years ago

How many solutions does the equation have

Mathematics

1 answer:

Bess [88]3 years ago

4 0

There is only one answer to this equation. h=3/4

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Tell whether the ratios are equivalent: 3 days to 4 hours and 9 days to 12 hours. show your work.

bonufazy [111]

Answer:

yes.

Step-by-step explanation:

write these ratios as fractions to see if they are proportional

3/4

9/12 -------> this can be simplified by dividing by 3

= 3/4

therefore yes they are equivalent

5 0

2 years ago

Which figure best represents a kite?

never [62]

A kite would be the right answer

4 0

2 years ago

Determining the Number of Solutions of a System of Line

Colt1911 [192]

Answer:

I'm bad at explaining this but after this, go to sleepppp

Step-by-step explanation:

7 0

2 years ago

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

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

7 0

3 years ago

What is the solution to the system of equations?

elixir [45]

Answer:

No solution

Step-by-step explanation:

$-3x-4y-3z=-7\\2x-6y+2z=3\\5x-2y+5z=9\\\\$

Lets consider the equation 2.

Here we multiply the LHS and RHS with (-1).

$-3x-4y-3z=-7\\-(2x-6y+2z)=-3\\5x-2y+5z=9\\\\$

Hence,

$-3x-4y-3z=-7\\-2x+6y-2z=-3\\5x-2y+5z=9\\\\$

When we add the equations we get,

$0x+0y+0z=-10+9\\Hence,\\0=-1$

As 0 doesn't equal to -1, answer is d) No solution

6 0

2 years ago