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Luda [366]
3 years ago
9

Find the 50th term of the sequence 5, -2, -9, -16....

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
4 0
Yes, it would be. Because if u keep misusing 7 or -7 50 times starting from 5 it will equal -338. 
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Expand and simplify<br>2(2y + 1) + 2(5y - 3)​
GarryVolchara [31]

Answer:

14y-4

Step-by-step explanation:

Distribute 2 to both the left and right side.

Combine like terms.

14y-4

7 0
3 years ago
The use of mathematical methods to study the spread of contagious diseases goes back at least to some work by Daniel Bernoulli i
harina [27]

Answer:

a

   y(t) = y_o e^{\beta t}

b

      x(t) =  x_o e^{\frac{-\alpha y_o }{\beta }[e^{-\beta t} - 1] }

c

      \lim_{t \to \infty} x(t) = x_oe^{\frac{-\alpha y_o}{\beta } }

Step-by-step explanation:

From the question we are told that

    \frac{dy}{y} =  -\beta dt

Now integrating both sides

     ln y  =  \beta t + c

Now taking the exponent of both sides

       y(t) =  e^{\beta t + c}

=>     y(t) =  e^{\beta t} e^c

Let  e^c =  C

So

      y(t) = C e^{\beta t}

Now  from the question we are told that

      y(0) =  y_o

Hence

        y(0) = y_o  = Ce^{\beta * 0}

=>     y_o = C

So

        y(t) = y_o e^{\beta t}

From the question we are told that

      \frac{dx}{dt}  = -\alpha xy

substituting for y

      \frac{dx}{dt}  = - \alpha x(y_o e^{-\beta t })

=>   \frac{dx}{x}  = -\alpha y_oe^{-\beta t} dt

Now integrating both sides

         lnx = \alpha \frac{y_o}{\beta } e^{-\beta t} + c

Now taking the exponent of both sides

        x(t) = e^{\alpha \frac{y_o}{\beta } e^{-\beta t} + c}

=>     x(t) = e^{\alpha \frac{y_o}{\beta } e^{-\beta t} } e^c

Let  e^c  =  A

=>  x(t) =K e^{\alpha \frac{y_o}{\beta } e^{-\beta t} }

Now  from the question we are told that

      x(0) =  x_o

So  

      x(0)=x_o =K e^{\alpha \frac{y_o}{\beta } e^{-\beta * 0} }

=>    x_o = K e^{\frac {\alpha y_o  }{\beta } }

divide both side  by    (K * x_o)

=>    K = x_o e^{\frac {\alpha y_o  }{\beta } }

So

    x(t) =x_o e^{\frac {-\alpha y_o  }{\beta } } *  e^{\alpha \frac{y_o}{\beta } e^{-\beta t} }

=>   x(t)= x_o e^{\frac{-\alpha * y_o }{\beta} + \frac{\alpha y_o}{\beta } e^{-\beta t} }

=>    x(t) =  x_o e^{\frac{\alpha y_o }{\beta }[e^{-\beta t} - 1] }

Generally as  t tends to infinity ,  e^{- \beta t} tends to zero  

so

    \lim_{t \to \infty} x(t) = x_oe^{\frac{-\alpha y_o}{\beta } }

5 0
3 years ago
The table shows the number of miles that a car travels and the gallons of gasoline it uses to go those distances.
PtichkaEL [24]

Answer:

4 -.-

Step-by-step explanation:

8 0
2 years ago
Ruth wants to buy a skateboard for $56. She has $90 in her account. She spent $11.65 to buy stationary. She also wants to buy so
nevsk [136]
The answer is the second one I dont have that symbol on my keyboard but it’s the second answer on the multi choice
90-11.65-56=22.35
divide that by 3.72 u get 6 so she can only get six comics or any whole positive number lower than that. Therefore it’s #2
5 0
3 years ago
Read 2 more answers
What is the solution set to the following system?
elena-s [515]
The correct answer is C
3+ 0 is 3
3^2 + 0 is 9
3 0
3 years ago
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