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Ainat [17]
3 years ago
12

Which equation does this story match: The temperature is -7. Since midnight the temperature tripled and then rose 5 degrees. Wha

t was the temperature at midnight?
5x - 7=3

7=3(5+ x)

3x + 5 = -7

13 (x+ 7) = 5
Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
4 0
5x-7=3 :))))))))))))))))))))))
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Merle opened a new savings account she deposited 40,000 at 10% compounded semiannually at the start of the fourth year merle dep
UNO [17]

happy first question!!!!

4 0
2 years ago
Solve these linear equations in the form y=yn+yp with yn=y(0)e^at.
WINSTONCH [101]

Answer:

a) y(t) = y_{0}e^{4t} + 2. It does not have a steady state

b) y(t) = y_{0}e^{-4t} + 2. It has a steady state.

Step-by-step explanation:

a) y' -4y = -8

The first step is finding y_{n}(t). So:

y' - 4y = 0

We have to find the eigenvalues of this differential equation, which are the roots of this equation:

r - 4 = 0

r = 4

So:

y_{n}(t) = y_{0}e^{4t}

Since this differential equation has a positive eigenvalue, it does not have a steady state.

Now as for the particular solution.

Since the differential equation is equaled to a constant, the particular solution is going to have the following format:

y_{p}(t) = C

So

(y_{p})' -4(y_{p}) = -8

(C)' - 4C = -8

C is a constant, so (C)' = 0.

-4C = -8

4C = 8

C = 2

The solution in the form is

y(t) = y_{n}(t) + y_{p}(t)

y(t) = y_{0}e^{4t} + 2

b) y' +4y = 8

The first step is finding y_{n}(t). So:

y' + 4y = 0

We have to find the eigenvalues of this differential equation, which are the roots of this equation:

r + 4 =

r = -4

So:

y_{n}(t) = y_{0}e^{-4t}

Since this differential equation does not have a positive eigenvalue, it has a steady state.

Now as for the particular solution.

Since the differential equation is equaled to a constant, the particular solution is going to have the following format:

y_{p}(t) = C

So

(y_{p})' +4(y_{p}) = 8

(C)' + 4C = 8

C is a constant, so (C)' = 0.

4C = 8

C = 2

The solution in the form is

y(t) = y_{n}(t) + y_{p}(t)

y(t) = y_{0}e^{-4t} + 2

6 0
3 years ago
40 liters is equal to
Julli [10]
Really it depends on what your trying to match it too

But it can be equal to
~10.5669 U.S liquid gallons
~40,000 milliliters 
~169.07 cups
~84.5351 pints

8 0
3 years ago
PLS HELP!!<br><br> Solve for x.<br><br> (763)(50)/295 = (760)(x)/273
Morgarella [4.7K]

X=75

1,108-1,033= 75

That is why it's that answer.


4 0
2 years ago
Read 2 more answers
A number is 5. Do you know it’s square?
Elanso [62]

Answer:

25

Step-by-step explanation:

5*5=25

4 0
3 years ago
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