Answer:
x=−11
Step-by-step explanation:
7+5(x−3)=7(x+2)
Step 1: Simplify both sides of the equation.
7+5(x−3)=7(x+2)
7+(5)(x)+(5)(−3)=(7)(x)+(7)(2)(Distribute)
7+5x+−15=7x+14
(5x)+(7+−15)=7x+14(Combine Like Terms)
5x+−8=7x+14
5x−8=7x+14
Step 2: Subtract 7x from both sides.
5x−8−7x=7x+14−7x
−2x−8=14
Step 3: Add 8 to both sides.
−2x−8+8=14+8
−2x=22
Step 4: Divide both sides by -2.
−2x
−2
=
22
−2
x=−11
Answer:
kg
Step-by-step explanation:
We are given that
Volume,V=9000 L
![\frac{dV}{dt}=90L/min](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%3D90L%2Fmin)
We have to find the salt in the tank after t minutes.
Let y(t) be the amount of salt dissolved in the tank
y(0)=16
rate in-rate out
Rate in=0
Rate out=![\frac{y}{9000}\times \frac{dV}{dt}=\frac{y(t)}{9000}\times 90=\frac{y}{100}](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7B9000%7D%5Ctimes%20%5Cfrac%7BdV%7D%7Bdt%7D%3D%5Cfrac%7By%28t%29%7D%7B9000%7D%5Ctimes%2090%3D%5Cfrac%7By%7D%7B100%7D)
![\frac{dy}{dt}=0-\frac{y}{100}](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdt%7D%3D0-%5Cfrac%7By%7D%7B100%7D)
![\int dy=-\int \frac{y}{100}dt](https://tex.z-dn.net/?f=%5Cint%20dy%3D-%5Cint%20%5Cfrac%7By%7D%7B100%7Ddt)
![\int \frac{dy}{y}=-\int\frac{1}{100}dt](https://tex.z-dn.net/?f=%5Cint%20%5Cfrac%7Bdy%7D%7By%7D%3D-%5Cint%5Cfrac%7B1%7D%7B100%7Ddt)
![ln y=-\frac{t}{100}+C](https://tex.z-dn.net/?f=ln%20y%3D-%5Cfrac%7Bt%7D%7B100%7D%2BC)
![y=e^{-\frac{t}{100}+C}=e^{-\frac{t}{100}}\cdot e^C=Ke^{-\frac{t}{100}}](https://tex.z-dn.net/?f=y%3De%5E%7B-%5Cfrac%7Bt%7D%7B100%7D%2BC%7D%3De%5E%7B-%5Cfrac%7Bt%7D%7B100%7D%7D%5Ccdot%20e%5EC%3DKe%5E%7B-%5Cfrac%7Bt%7D%7B100%7D%7D)
Where ![k=e^{C}](https://tex.z-dn.net/?f=k%3De%5E%7BC%7D)
Substitute t=0 and y=16
![16=C](https://tex.z-dn.net/?f=16%3DC)
kg
B. All real numbers :)
The only conern here is that you are able to square x. Since the square of any real number gives a real number answer, then that is the domain.
If the function was
![\sqrt{x}](https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D)
, then the domain woudl be all POSITIVE real numbers since you cannot take the square root of a negative number. Try it on your calculator! you will get an error! Domain simply means all possible values for x that actually give real number answers.
(the opposite of a real number is an imaginary number, like 'i' = [tex]\sqrt{-1}[tex]. You can see that you cannot sqrt a negative number, yet, in quantum mechanics 'i' is used all the time because it makes things work in calculations.
293/12 is 24 and a lot of numbers. I think it is 24.4166667.
Answer:
??
Step-by-step explanation:
을("eul") ?????