1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
exis [7]
4 years ago
10

PLEASE HELP!!! #3 Need help ASAP

Mathematics
1 answer:
JulsSmile [24]4 years ago
3 0

Answer:18 grams

Step-by-step explanation:

You might be interested in
Simplify (x^2+4)(2x^2+x-1)
inna [77]
2x^4+x^3-x^2+8x^2+4x-4=2x^4+x^3+7x^2+4x-4
6 0
4 years ago
Read 2 more answers
5. A tank initially contains 20 lb of salt dissolved in 200-gallon of water. Starting at time t = 0, a solution containing 0.5 l
sladkih [1.3K]

Answer:

(a) Amount of salt as a function of time

A(t)=100-80e^{-0.02t}

(b) The time at which the amount of salt in the tank reaches 50 lb is 23.5 minutes.

(c) The amount of salt when t approaches to +inf is 100 lb.

Step-by-step explanation:

The rate of change of the amount of salt can be written as

\frac{dA}{dt} =rate\,in\,-\,rate\,out\\\\\frac{dA}{dt}=C_i*q_i-C_o*q_o=C_i*q_i-\frac{A(t)}{V}*q_o\\\\\frac{dA}{dt}=0.5*4-\frac{A(t)}{200}*4\\\\\frac{dA}{dt} =\frac{100-A(t)}{50}=-(\frac{A(t)-100}{50})

Then we can rearrange and integrate

\frac{dA}{dt}= -(\frac{A(t)-100}{50})\\\\\int \frac{dA}{A-100}=-\frac{1}{50}  \int dt\\\\ln(A-100)=-\frac{t}{50}+C_0\\\\ A-100=Ce^{-0.02*t}\\\\\\A(0)=20 \rightarrow 20-100=Ce^0=C\\C=-80\\\\A=100-80e^{-0.02t}

Then we have the model of A(t) like

A(t)=100-80e^{-0.02t}

(b) The time at which the amount of salt reaches 50 lb is

A(t)=100-80e^{-0.02t}=50\\\\e^{-0.02t}=(50-100)/(-80)=0.625\\\\-0.02*t=ln(0.625)=-0.47\\\\t=(-0.47)/(-0.02)=23.5

(c) When t approaches to +infinit, the term e^(-0.02t) approaches to zero, so the amount of salt in the solution approaches to 100 lb.

7 0
3 years ago
PLEASEEEEE HELPPPPPP ASAPPPPPPPP
natta225 [31]

9514 1404 393

Answer:

  64r -48r -144

Step-by-step explanation:

The January cost expression is ...

  62p -48p -144 -432 = profit

The cost is identified as having 3 components, so the profit will have 4 components:

  (selling price)×p - ((cost per unit)×p +(fixed monthly cost)) -(first month startup cost) = profit

Comparing this to the given equation, we identify the components as ...

  selling price = 62

  cost per unit = 48

  fixed monthly cost = 144

  first month startup cost = 432

We note that 432 = 3×144, so is consistent with the description of startup costs.

Increasing the selling price by $2 will raise it from 62 to 64. In February, the initial month startup cost disappears, so the profit equation becomes ...

  (selling price)×r - ((cost per unit)×r +(fixed monthly cost)) = profit

  64r -48r -144 = profit

5 0
3 years ago
Solve for x: -8 < 3x +1 < 13
Goshia [24]

\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{-8 < 3x+1 < 13 }} \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{-8+-1 < 3x+1+-1 < 13+-1 \ (Add \ -1 \ to \ all \ parts) }} \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{-9}{3} < \frac{3x}{3} < \frac{12}{3} \ (Divide \ all \ parts \ by \ 3)    }} \end{gathered}$}

\red{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{-3 < x < 4 }} \end{gathered}$} }}

3 0
2 years ago
What is the solution to the equation 4x-6=10x-3
daser333 [38]

Answer:

- 1/2

Step-by-step explanation:


5 0
4 years ago
Read 2 more answers
Other questions:
  • Find the simplified form of the expression. Give your answer iscientific notation. (9*10^5)(6*10^7)
    11·2 answers
  • How to do it and the steps
    14·1 answer
  • 5. Evie and sophia are planning a cement patio by their swimming pool. A contractor says the cement will weigh 61⁄3 tons. How ma
    10·1 answer
  • Which equation should you solve to find x?<br> 12<br> X х<br> 34°<br> 10
    11·1 answer
  • The soccer team is making a circle graph to keep track of this year's games. So far, they have entered the data you see. How man
    5·2 answers
  • X/5 = -3 x=____ help
    10·2 answers
  • HELP!!!! Due in 1 hour.
    13·1 answer
  • Which statement about these triangles is true? help pls using 40 points
    15·1 answer
  • The amount of milk in a carton is modeled by the equation y = 64 - 4x. The number of ounces of milk left
    9·1 answer
  • 41/4 cups equals how many pints
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!