Step-by-step explanation: 49% of 3300 is 1,617 . If 49% don't get enough sleep then then question is indirectly asking for the exact amount of that particular 51%

6 0

3 years ago

The lowest elevation in Louisiana is 8 feet below sea level the highest version is 535 feet above sea level what is the differen

ELEN [110]

8(highest)+535(lowest)=543

an easy way to get the answer is to just add the two numbers together because your just trying to find how far it is between -535 and a positive 8.

5 0

3 years ago

Which of the following is the solution to the differential equation dP/dt+P=10 with the initial condition P(0)=4

Ber [7]

Answer:

Option C. $P=10-6e^{-t}$

Explanation:

1. Separate variables:

$\dfrac{dP}{dt}+P=10\\ \\ \\ \\\dfrac{dP}{dt}=-P+10\\ \\ \\ \dfrac{dP}{-P+10}=dt$

2. Find the indefinite integrals

$-\ln{(10-P)}=t+C$

3. Solve for P

$10-P=e^{-t+C}\\ \\ 10-P=Ke^{-t}\\ \\ P=10-Ke^{-t}$

4. Use the initial condition, P(0) = 4, to find K:

4 = 10 - K(e⁰)

4 = 10 - K

K = 10 - 4

K = 6

5. Substitute K = 6 into the integrated equation:

$P=10-6e^{-t}$

That is the option C.

4 0

3 years ago