Answer:
[tex]C(t)=5\cdot(0.9)^t[/tex]
Step-by-step explanation:
The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.
An exponential decaying function is expressed as:
[tex]C(t)=C_o\cdot(1-r)^t[/tex]
Where:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the decaying rate, expressed in decimal
The concentration of the pollutants starts at Co=5 mg/lt. We also know the pollutant reduces its concentration by 10% each hour. This gives us a value of r = 10% / 100 = 0.1
Substituting into the general equation:
[tex]C(t)=5\cdot(1-0.1)^t[/tex]
Operating:
[tex]\boxed{C(t)=5\cdot(0.9)^t}[/tex]
y(n) = 5(0.9)ⁿ
To answer this, we will make use of the exponential decaying function which is given by;y(n) = a(1 - b)ⁿ
where;
y is the final amount at time n,
a is the original amount
b is the decay factor
x is the amount of time that has passed.
We are told that the initial concentration of the pollutants is 5 mg/LThus;
a = 5 mg/L.
We are told that the pollutant reduces its concentration by 10% each hour. Thus; b= 10%
b = 0.1
Therefore Plugging in the relevant values into y(n) = a(1 - b)ⁿ, we have;y(n) = 5(1 - 0.1)ⁿ
y(n) = 5(0.9)ⁿ
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Simplify. .
-(2x – Зу) + 5х + 2 – 3х + Зу + 2
А. 4
В. 4х + 4
С. 6y + 4
D. 4х + бу + 4
Please select the best answer from the choices provided
A
B
ОООО
С
D
Answer:
6y+4
Step-by-step explanation:
-(2x-3y) +5x +2 -3x +3y +2
(-2x -3x +5x) (3y +3y) (2 +2)
0 +6y +4
6y +4
The aquarium where Fred works has a special tank for the baby sharks. The tank is shaped
like a rectangular prism and is 18 meters long by 15 meters wide. It is 8 meters from the
bottom of the tank to the top. What is the volume of the shark tank?
the answer is instruments that detect earthquakes
if the midpoint between (3, 4) and (5, y) is (4, -2), what is the value of y?
Answer:
y = -8
Step-by-step explanation:
to find the midpoint you add the two together then divide by 2
(4 + y) / 2 = -2
4 + y = -4
y = -8
What is the difference between the longest jump and the shortest jump in the running long jump event?
1.
Only one-fourth of Earth’s surface is land, but land constitutes over 99% of the Earth’s actual mass. Which sphere of the Earth does this statement describe?
biosphere
lithosphere
atmosphere
hydrosphere
Answer:
Lithosphere.
Step-by-step explanation:
Lithosphere is known for being the Earth's sphere ehre all rocks and types of land are included. Therefore, if land constitutes over 99% of the Earth's actual mass, then the statement is refering to the Lithosphere.
In this question, you are asked to specify the sphere of the earth described in the sentence
The sphere of the earth described in the sentence is lithosphere.
Lithosphere is the sphere of the earth which consists of land.Biosphere is the portion of the earth which constitutes lives. Living organisms live in this part of the earth.Atmosphere consist of the gaseous part of the earth. Hydrosphere is the portion of the earth that consist of water either fresh or salt waterRead more:
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Josie deposited $450 in a bank account
Answer:
What is the question?
Step-by-step explanation:
Deposit means add so he added $450 to his bank account
The formula P= 2/+ 2w means that the perimeter of a rectangle is equal to
twice the sum of its length and its width.
Solve P = 21+ 2 w for /
Answer:
D. [tex] l = \frac{P - 2w}{2} [/tex]
Step-by-step explanation:
Given:
[tex] P = 2l + 2w [/tex]
Required:
Solve for l
Solution:
To solve for l, we would make l the subject of the given formula.
[tex] P = 2l + 2w [/tex]
[tex] P = 2(l + w) [/tex]
Divide both sides by 2
[tex] \frac{P}{2} = \frac{2(l + w)}{2} [/tex]
[tex] \frac{P}{2} = l + w [/tex]
Subtract w from both sides
[tex] \frac{P}{2} - w = l + w - w [/tex]
[tex] \frac{P}{2} - w = l [/tex]
[tex] \frac{P}{2} - \frac{w}{1} = l [/tex]
[tex] \frac{P - 2w}{2} = l [/tex]
Rewrite
[tex] l = \frac{P - 2w}{2} [/tex]
Which two operations are needed to write the expression that represents "eight more than the product of a number and
two"?
A. multiplication and subtraction
B. division and subtraction
C. multiplication and addition
D. division and addition
PLEASE HELP
Evaluate the function: f(n) = n + 4
Find: f(-9)
Evaluate the function
6. XY = 5x, YZ = X, and XY=25
Answer:
its cartesian Product of XY * YZ is {{5x,X}}
its cartesian Product of YZ * XY is {{x,5X}}
need it in a diffrent form? just ask
I hope this helps
if you could, feel free to mark me Brainliest it would be much appreciated :D
what is 49.672 to the nearest hundredth
Answer:
49.680
Step-by-step explanation:
the tenth is not small
1. Write the equation of a line given the point and the slope.
(0,3); m = -2
Answer:
hapyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
Step-by-step explanation:
hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhnnnnnnnnnnnnnnnnnnnn
MATH QUIZ PLEASE HELP <3
Determine whether the following relation is a function.
y= - 3x - 4
Which of these is an opinion
(helppp)
Answer:
A
Step-by-step explanation:
because all the other ones are facts
7th grade math help me pleasee
Answer: 15 + (-35) = -20
Step-by-step explanation: This is the addition equation for your question.
Answer:
15 plus -15 plus -20
Step-by-step explanation:
15 plus -15 equals zero, when we add a the a negative and a positive of the same number it's a zero. And I add -20 to go down instead of subtracting.
~~Hope this helps~~~ :)
Find the LCM of 6 and 5
Answer:
30
Step-by-step explanation:
Answer:
there right
Step-by-step explanation:
alexis rode her bike 4.5 miles. johnny rode his bike 8.1 miles. how many more miles did johnny ride his bike?
I need long division
Which of the following shows an example of the identity property of 0? Select one: a. 1/2+1/2=1 b. 22/7+(-22/7)=0 c. 0+(-7 5/6)=-7 5/6 d. -3 1/4+6 1/2=3 1/4
The example of the identity property of 0 will be 0 + (–7 5/6) = –7 5/6. Then the correct option is C.
What is identity property of addition?According to the identity property of addition, any value is that summation of 0 and any other value.
a + 0 = a
The example of the identity property of 0 will be
0 + (–7 5/6) = –7 5/6
Then the correct option is C.
More about the identity property of addition link is given below.
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simplify 3x[18+{3+4÷(4-2)}]
✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽
[tex]3 \times 18 + 3 + 4 \div ( 4 - 2)[/tex]
[tex]= 54 + 3 + \frac{4}{4 - 2}[/tex]
[tex]= 57 + \frac{4}{4 - 2}[/tex]
[tex]= 57 + \frac{4}{2}[/tex]
[tex]= 57 + 2[/tex]
[tex]= 59[/tex]
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ May ♡
Answer:
69
Step-by-step explanation:
3 ×{18 +[3 +4 :(4 - 2)]}
3 ×[18 +(3 +4 :2)]
3 ×[18 +(3 +2)]
3 ×(18 +5)
3 ×23
69
Need help please badly
Answer:
CED is a right angle, CEB=AEB
hopw that helps
Answer:
1st, 2nd, 5th
Step-by-step explanation:
A square field has 3,844 sq. meters of land. What is the width of the field?
Answer:
The side length is 62 meters
Step-by-step explanation:
The area of a square is given by
A = s^2 where s is the side length
3844 m^2 = s^2
Take the square root of each side
sqrt( 3844 m^2) = sqrt(s^2)
62 m= s
The side length is 62 meters
Subtract. 125−(−35) Enter your answer, in simplest form, in the box.
(DONT JUDE ITS LFE)
HELP
Answer:
Hi there!
Your answer is:
160
Step-by-step explanation:
two negatives equal a positive!
Change the -(-) sign into a positive, and add!
125+35=160
81 - 100a2
What is the answer
Answer:10a
Step-by-step explanation:
Since both terms are perfect squares, factor using the difference of squares formula,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
where
a
=
9
and
b
=
10
a
.
(
9
+
10
a
)
(
9
−
10
a
)
In this picture, the measure of angle ois 1 radian.
A. True
B. False
Answer: the answer is true I think
Step-by-step explanation:
A bag contains 3 red marbles, 8 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that all three marbles drawn will be green?
Answer:
A bag contains 8 red marbles, 3 blue marbles and 7 green marbles.
Total = 18 marbles.
Probability of drawing three red marbles = probability of drawing one red without replacement + probab of drawing another without reeplacement + probab of drawing a third without replacement.
Probability of drawing three red marbles = 8/18 + 7/17 + 6/16 = 0.4444 + 0.4118 + 0.3750 = 1.2312.
Answer:
0.043
Step-by-step explanation:
What is 15% of 60 ?
Answer:
9
Step-by-step Explanation
[tex]15 \% \: of \: 60 \\ \\ = \frac{15}{100} \times 60 \\ \\ = \frac{900}{100} \\ \\ = 9[/tex]
Which three lengths could be used to form a right triangle ?
hcf of 72, 120, 192 with explanations
Solve this equation
100x + 300 = 200
Answer:
-1
Step-by-step explanation:
100x=200-300
100x=-100
100x/100=-100/100
x=-1
After solving this equation we get, 100x + 300 = 200 x = -1.
To solve this equation
100x + 300 = 200,
Subtract 300 on both side,
100x + 300 - 300 = 200 - 300
100x = -100
Divide 100 on both side,
x = -1
Therefore, After solving this equation 100x + 300 = 200 we get x = -1.
Learn more about How to solve equation here;
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What does “each point of a line maps to itself” mean? I don’t understand it what it means for it to map to itself.
Answer:
Step-by-step explanation:
For example if you have a function f(x) = x - 1, then x = 1 is a zero of this function because using it as x gives 1 - 1 = 0. The Riemann Zeta function has some zeros that are easy to find which are of little interest but there are some other ones that are harder to find which is why the are called non-trivial.
