Hiii please help i’ll give brainliest if you give a correct answer tysm!

⅝y -6 < 4<br> plz show work

NARA [144]

Answer:

$y$

Step-by-step explanation:

7 0

3 years ago

Please help. I'm not the best at math.

Elena L [17]

5:4 Should be correct! I took the test Btw Hope this helps!! :D

5 0

3 years ago

Read 2 more answers

Problem 10: A tank initially contains a solution of 10 pounds of salt in 60 gallons of water. Water with 1/2 pound of salt per g

AysviL [449]

Answer:

The quantity of salt at time t is $m_{salt} = (60)\cdot (30 - 29.833\cdot e^{-\frac{t}{10} })$ , where t is measured in minutes.

Step-by-step explanation:

The law of mass conservation for control volume indicates that:

$\dot m_{in} - \dot m_{out} = \left(\frac{dm}{dt} \right)_{CV}$

Where mass flow is the product of salt concentration and water volume flow.

The model of the tank according to the statement is:

$(0.5\,\frac{pd}{gal} )\cdot \left(6\,\frac{gal}{min} \right) - c\cdot \left(6\,\frac{gal}{min} \right) = V\cdot \frac{dc}{dt}$

Where:

$c$ - The salt concentration in the tank, as well at the exit of the tank, measured in $\frac{pd}{gal}$ .

$\frac{dc}{dt}$ - Concentration rate of change in the tank, measured in $\frac{pd}{min}$ .

$V$ - Volume of the tank, measured in gallons.

The following first-order linear non-homogeneous differential equation is found:

$V \cdot \frac{dc}{dt} + 6\cdot c = 3$

$60\cdot \frac{dc}{dt} + 6\cdot c = 3$

$\frac{dc}{dt} + \frac{1}{10}\cdot c = 3$

This equation is solved as follows:

$e^{\frac{t}{10} }\cdot \left(\frac{dc}{dt} +\frac{1}{10} \cdot c \right) = 3 \cdot e^{\frac{t}{10} }$

$\frac{d}{dt}\left(e^{\frac{t}{10}}\cdot c\right) = 3\cdot e^{\frac{t}{10} }$

$e^{\frac{t}{10} }\cdot c = 3 \cdot \int {e^{\frac{t}{10} }} \, dt$

$e^{\frac{t}{10} }\cdot c = 30\cdot e^{\frac{t}{10} } + C$

$c = 30 + C\cdot e^{-\frac{t}{10} }$

The initial concentration in the tank is:

$c_{o} = \frac{10\,pd}{60\,gal}$

$c_{o} = 0.167\,\frac{pd}{gal}$

Now, the integration constant is:

$0.167 = 30 + C$

$C = -29.833$

The solution of the differential equation is:

$c(t) = 30 - 29.833\cdot e^{-\frac{t}{10} }$

Now, the quantity of salt at time t is:

$m_{salt} = V_{tank}\cdot c(t)$

$m_{salt} = (60)\cdot (30 - 29.833\cdot e^{-\frac{t}{10} })$

Where t is measured in minutes.

7 0

3 years ago

A grain of rice average weight is about 25 milligrams or 0.025 grams. Which of the following shows the weight in grams in scient

zavuch27 [327]

Answer:

2.5x10⁻2

Step-by-step explanation:

4 0

2 years ago

What is the difference between the number of solutions for a two-step equation and for a two-step inequality

Sophie [7]

Answer:

A two-step equation is something like:

A*X + B = C

In this case, like in a linear equation, we have only one solution that can be found as:

A*X = C - B

X = (C - B)/A

In the case of a two-step inequality, we have something like:

A*X + B > C

Solving this we get;

A*X > C - B

X > (C - B)/A

In this case, any value of X that is larger than (C - B)/A is a solution, so in this case, we have infinite solutions.

That is the difference between the number of solutions for each case, in a two-step equation we have only one, while in the case of the inequality we have infinite.

7 0

2 years ago