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
vladimir1956 [14]
3 years ago
15

Last one for this test

Mathematics
1 answer:
Oksanka [162]3 years ago
6 0

Answer:

1) 0

2) 0

3) 0

Explanation:

You might be interested in
1. Contaminated water is subjected to a cleaning process. The concentration of the
Leokris [45]

Answer:

The concentration of pollutants in the water can be defined as the quotient between the mass of pollutants and the total mass of water.

Assuming that 1L of water weighs 1000 grams, we know that:

Mass of pollutants = 5mg = 0.005g.

Initial concentration = 0.005g/1000g = 0.000005

If we multiply this by 100%, we get the percentage:

0.000005*100% = 0.0005%

Now, the mass of pollutants decreases by 10% each hour.

So if initially, we have 5mg

After one hour, we will have: 5mg - 0.1*5mg = 5mg*(0.9).

After another hour, we will have: 5mg*(0.9) - 0.1*5mg*0.9 = 5mg*(0.9)^2.

And so on, then after n hours, the mass of pollutants will be:

M(n) = 5mg*(0.9)^n

Or we can write this in grams as:

M(n) = 0.005g*(0.9)^n

Then the concentration as a function of time in hours will be:

C(n) = M(n)/1000g = (0.005g/1000g)*(0.9)^n

Notice that the thing between the parentheses is the initial concentration, then if we write this in percentage form:

c(n) = 100%*(0.005g/1000g)*(0.9)^n = 0.0005%*(0.9)

The function that represents the concentration of polution in the water as a function of hours is:

c(n) = 0.0005%*(0.9)

6 0
3 years ago
Which is the Area of a circle with a diameter of 7 units?
saul85 [17]
Area of a circle = (3.14) * r^2
d = 7
r = 3.5

a = (3.14) * 3.5^2
a = (3.14) * 12.25
a = 38.47
7 0
3 years ago
24-4x=32<br><br><br> Show your work
Mandarinka [93]

Answer:

-2

Step-by-step explanation:

24 - 4x =32

-4x =32 - 24

-4x=8

x=-8 :4

x=-2

8 0
2 years ago
Read 2 more answers
Write an equation using the information below
vladimir2022 [97]
This is easy, hint, you multiply ;-;
6 0
3 years ago
Read 2 more answers
Write down a differential equation of the form dy/dt = ay + b whose solutions have the required behavior as t → ∞. all other sol
nordsb [41]

The ODE has an equilibrium point at

\dfrac{\mathrm dy}{\mathrm dt}=ay+b=0\implies y=-\dfrac ba

We want y=2 to be an unstable equilibrium solution - in other words, we want all solutions with initial condition y(t_0)=c for c near 2 to diverge from y=2 - so -dfrac ba=2.

Divergence from y=2 would require that for y>2, any solution is increasing, and for y, and solution is decreasing. In order for that to happen, we need

\dfrac{\mathrm dy}{\mathrm dt}=ay+b>0\implies y>-\dfrac ba

if y>2, and

\dfrac{\mathrm dy}{\mathrm dt}=ay+b

if y.

Now we just pick a,b to satisfy these conditions. An easy choice is a=1, which forces b=-2, so that one possible ODE would be

\dfrac{\mathrm dy}{\mathrm dt}=y-2

I've attached a plot of the slope field to demonstrate the behavior of the solutions.

6 0
3 years ago
Other questions:
  • I only need the Evens ;-;
    5·1 answer
  • Find p and q for which the linear eqn has infinite solutions
    15·1 answer
  • Find the slope of the line through the points (3,2) (8,6).
    12·1 answer
  • What is 22/11 when simplified and how did you solve that?
    5·2 answers
  • Find the value of x.
    10·2 answers
  • Eric is playing a video game. At a cerain point in the game, he has 3,150 points. then the following events happen, in order:
    14·2 answers
  • Help me with this please I don’t understand
    12·1 answer
  • Solve for x: x/5 = 75
    15·2 answers
  • Which of the following expression represents x being tripled and then increased by 20%.
    13·1 answer
  • Let's say you have this data: 25, 26, 24, 26, 25, 7, 8, 8, 15, 10, 25, 24, 26 What should your bin size be if you want to have 1
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!