What is one possible solution for x? 2x2=8 8 -2 6 9

Mathematics

1 answer:

Alla [95]3 years ago

4 0

Answer:

you are going to say 2(2) ×2

then 4×2=8

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A certain country has $10 billion in paper currency in circulation, and each day $50 million comes into the country's banks. The

mash [69]

Answer:

$\bf x(t)=10(1-e^{-0.005*t})$

Step-by-step explanation:

The differential equation

$\bf \displaystyle\frac{dx}{dt}=0.005(10-x)$

can be solved by separation of variables. Write the equation as

$\bf \displaystyle\frac{dx}{10-x}=0.005dt$

Integrate on both sides

$\bf \int\displaystyle\frac{dx}{10-x}=\int0.005dt\Rightarrow -ln(10-x)=0.005t+C\Rightarrow\\\\\Rightarrow ln(10-x)^{-1}=0.005t+C\Rightarrow (10-x)^{-1}=e^{0.005t}e^C$

where C is a constant.

$\bf e^C$ is also a constant and we will keep calling it C, (there is no reason to change the letter). We have then

$\bf (10-x)^{-1}=Ce^{0.005t}\Rightarrow \displaystyle\frac{1}{10-x}=Ce^{0.005t}\Rightarrow 10-x=\displaystyle\frac{1}{Ce^{0.005t}}\Rightarrow\\\\\Rightarrow x(t)=10-(1/C)e{-0.005t}$

(1/C) is a constant, and for the same reason we will keep calling it C. So the general solution is

$\bf x(t)=10-Ce^{-0.005t}$

Now, we use the initial condition x(0)=0

$\bf x(0)=10-Ce^{-0.005*0}=0\Rightarrow C=10$

and the particular solution is

$\bf x(t)=10-10e^{-0.005*t}=10(1-e^{-0.005*t})\\\\\boxed{x(t)=10(1-e^{-0.005*t})}$

7 0

3 years ago

A set of six single-digit integers has a unique mode of 2. What is the largest possible

Sliva [168]

Answer:

6.5

Step-by-step explanation:

We can assume that 2 is the smallest integer in the set. That means we would have a minimum of 2 2s. Then the largest integer in the set is 9. Since we can't have more than one 9 (due to the mode of 2), the next largest number we can have is 8. After that would be 7. Then the last digit would be 6. So now the set contains { 2, 2, 6, 7, 8, 9}. To find the median in an even set, we need to take the middle numbers and find the average. In this case, the two numbers are 6 and 7. The average of 6 and 7 is 6.5.

6 0

4 years ago

Read 2 more answers

Please help!!!!!

fgiga [73]

Answer: