Write a function that gives the remaining amount of containments in kilograms, C(t), t hours after Nana started purifying the water

Answers

Answer 1

Answer:

[tex]C(t)= \frac{1}{2} kg (2/3) ^ t[/tex]

Step-by-step explanation:

Original Question:

Nana has a water purifier that filters 1/3 of the contaminants each hour. She used it to purify water that had 1/2 kilogram of contaminants. Write a function that gives the remaining amount of contaminants in kilograms, C(t), t hours after Nana started purifying the water.

Explanation:

Each hour, the water purifier filters 1/3 of the contaminants, meaning that the contaminant reduces by 2/3. If the contaminant was 1kg (for example), the mass would be 2/3 kg after 1 hour- after 2 hours, it'll be 4/9 kg, so we see a pattern. We need to multiply the contaminant by 2/3 every single hour.[tex]C(t)= \frac{1}{2} kg (2/3) ^ t[/tex]

Related Questions

HELP !
CLICK ON THE PHOTO FOR QUESTION. ALOT OF POINTS GIVEN AWAY!

Answers

Answer:I believe the answer is A.

Step-by-step explanation:

0.05 x 51.00 = 2.55

2.55 + 51.00= 53.55

Plz help me with 6th grade math- I’m dumb

Answers

It’s length times width time height so the first one should be 75 and I have a link to answer them reply If you want it?

i am just going to give points away pls give me brainlyest

Answers

Answer:

Okay will do!!

Step-by-step explanation:

If a restaurant charges $9.90 for 2 sandwiches, how much will the restaurant charge for 15 sandwiches?

Answers

they will charge 74.25

Select the correct graph of ABC

Giving brainliest

Answers

Answer:

The answer is B

hope it helps

The answer is D because A is at 1,1. B is 4 units away from A and C is 3 units away from B.

Hope this helps!

A square root function, that is stretched by a factor of 3, and shifted 4 units left and 6 units up.

Answers

Answer:

The square root function will turn to;

y = 3 √(x + 4) + 6

Step-by-step explanation:

Let the square root function be ;

y = √x

Now, let’s stretch this by a factor of 3

This means we are dilating by a factor of 3

Mathematically, this will be

y = 3 * √x = 3 √x

Shifting this 4 units up means that we are extending the x-axis value by 4 units

That will be ;

y = 3 √x + 4)

Now shifting this 6 units up, we finally will have;

y = 3 √(x + 4) + 6

The value of y varies directly with x. If x=6, then y=21
.
Find the value of x when y=70

Answers

Answer:

Direct proportionality

If the value of y varies directly with x, the value of x when y=70 is 20.

Given that, the value of y varies directly with x.

What is a proportional relationship?

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".

We know that, the value of y varies directly with x

y ∝ x

⇒ y = kx

⇒ k = y/x

⇒ k = 21/6

⇒ k = 7/2

So, k = y/x

7/2 = 70/x

⇒ 1/2 = 10/x

⇒ x = 20

Therefore, if the value of y varies directly with x, the value of x when y=70 is 20.

To learn more about the proportional relationship visit:

brainly.com/question/12917806.

#SPJ2

18inch/4secs how far would the car travel in 1 second?

Answers

Answer:

4.5 inch per 1 sec

Step-by-step explanation:

18/4=4.5

whats the answer to this?

Answers

Answer: when a > 1, the graph is vertically stretched and steeper.

I hope this helps :)

help me pleaseeeeeee

Answers

Step-by-step explanation:

Similar triangles

[tex] \frac{6}{uv } = \frac{8}{3} [/tex]

uv=18/8

uv= 2.25

Select the correct answer from each drop-down menu. The velocity, v, in meters/second, of an object with a mass of m, in kilograms, and kinetic energy of K, in joules, is given by this equation. Use the equation to complete this statement. The kinetic energy of a ball with a mass of 2 kilograms that is rolling at a velocity of 5 meters/second is joules.

Answers

Answer:

25

Step-by-step explanation:

The kinetic energy of a ball with a mass of 2 kg that is rolling at a velocity of 5 m/s is 5 Joules

Calculating Kinetic energy

From the question, we are to determine the kinetic energy of the ball

From the given equation for the velocity,

[tex]v = \sqrt{\frac{2K}{m} }[/tex]

We will make K the subject of the equation

 [tex]v = \sqrt{\frac{2K}{m} }[/tex]

Take the squares of both sides

[tex]v^{2} ={\frac{2K}{m} }[/tex]

Multiply both sides by m

[tex]mv^{2} ={\frac{2K}{m} } \times m[/tex]

[tex]mv^{2} =2K[/tex]

∴ [tex]K = \frac{1}{2} mv^{2}[/tex]

Now, for the kinetic energy of a ball with a mass of 2 kilograms that is rolling at a velocity of 5 meters/second

That is,

m = 2 kg

and v = 5 m/s

Putting the parameters into the equation, we get

[tex]K = \frac{1}{2} \times 2 \times 5^{2}[/tex]

K = 25 J

Hence, the kinetic energy of a ball with a mass of 2 kg that is rolling at a velocity of 5 m/s is 5 Joules

Learn more on Calculating kinetic energy here: https://brainly.com/question/25959744

Here is the complete question:

Select the correct answer from each drop-down menu. The velocity, v, in meters/second, of an object with a mass of m, in kilograms, and kinetic energy of K, in joules, is given by this equation.

[tex]v = \sqrt{\frac{2K}{m} }[/tex]

Use the equation to complete this statement. The kinetic energy of a ball with a mass of 2 kilograms that is rolling at a velocity of 5 meters/second is joules.

#SPJ2

The triangles are similar. Find the value of x. Round to the nearest tenth.

Answers

Answer:

the value of x is 46 round to the nearst tenth thatll be 50

Step-by-step explanation:

Find the value of x that makes m ∥ n.

Answers

X is 60 degree :) . Brainliest pls

Answer:

x=60

Step-by-step explanation:

X+2x=180degree because it is co interior angle

3x=180

X=180/3

X=60.

Verification

X+2x=180

60+2(60)=180

60+120=180

Please hurry :) and if u don't know the answer please don't just put a random thing <3

Answers

Answer:

Wal-mart

Step-by-step explanation:

you only get a discount from National Tire and Battery after you purchase 4 tires, which is not as good a deal as Wal-mart's

Answer:

Wal-mart.

Step-by-step explanation

20% of 225 is 45, therefore we subtract 45 from 225 and get 180.

180x4=$720

$720 is the least amount of money spent on 4 tires :)

Two more than a certain membership is 15 less than twice the number

Answers

2+x = 2x -15
2+15=2x - x
17 = x

Which table represents y as a function of x?
PLEASE HELP??
OR BRAINLIEST:((??

Answers

i believe the correct answer is B

What is the equation of the line that passes through the point (5,6) and has a slope of 2 ?

Answers

Answer:

y = 2x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2, thus

y = 2x + c ← is the partial equation

To find c substitute (5, 6) into the partial equation

6 = 10 + c ⇒ c = 6 - 10 = - 4

y = 2x - 4 ← equation of line

Which of the following is the correct equation of the line that is parallel to y=−1x−5, and has a y-intercept at (0,1)?

y=−1x+0y is equal to negative 1 x plus 0

y=1x+5y is equal to 1 x plus 5

y=−1x+1y is equal to negative 1 x plus 1

y=5x−1

Answers

Answer:

The answer is option 3.

Step-by-step explanation:

When both lines are parallel, they will have the same gradient. In a linear equation, y = mx + b where m represents gradient and b is y-intercept :

Let m = -1, b = 1

y = -1x + 1

Answer:

the answer is option 3 like the first person said. no trollin

Step-by-step explanation:

Find the amount of simple interest that $400 would earn at 8% per year by the end of 3 years.​

Answers

Answer:

400 times 8%= 32 times 3=96

Step-by-step explanation:

hey can you pls help!!!​

Answers

Answer:

60/4 if i get right can i please get brainliest?

Answer:

60 miles/ 4 gallons

Step-by-step explanation:

60 divided by 4 is 15

Equations and Inequalities One-Pager

Answers

Could I see a picture cause not sure

Paige ran 3 miles on Monday, walked 8 miles Tuesday
and ran a combined 11 miles on Wednesday and
Thursday. How many total miles did Paige exercise in
four days?

Answers

Answer:

22

Step-by-step explanation:

add 11 + 8+ 3

the domain _ is the set of inputs for a function

Answers

78 is the set of inputs for a function

Find the Error A student graphs the relationship y = x on a coordinate plane. She says the slope is O because there is no coefficient. Find her
mistake and correct it.

Answers

Answer:

y=x times factor of 12 abstracted by -93

Step-by-step explanation:

The slope is the ratio of y's coordinate to x's coordinate thus the slope of y = x will be y/x = 1.

What is the slope?

A slope is a tangent or angle at a point or a slope is the intensity of inclination of any geometrical lines.

Slope = Tanx where x will be the angle from the positive x-axis at that point.

A linear equation or function is given as ;

y = mx + b

Now,

At x = 0 ⇒ y = b so it will be a y-intercept.

As per the given, y = x

The x's coefficient is 1 thus slope will be 1.

Or, y/x = 1

Hence "The slope is the ratio of y's coordinate to x's coordinate thus the slope of y = x will be y/x = 1".

To learn more about slopes,

https://brainly.com/question/3605446

#SPJ5

The number of students enrolled at a college is 13,000 and grows 4% each year, what is the initial amount

Answers

Answer:

13,000

_____

4%

I'm sorry if this is incorrect

Alana biked 15 miles in 1 hour. How many miles did she bike in 3 hours?​

Answers

Alana biked 45 minutes in 3 hours.

Answer:

45 miles

Step-by-step explanation:

15 miles = 1 hour

15 x 3 = x

x = 45

45 miles = 3 hours

6143 × 45 work out ​

Answers

Answer: 276,435

Step-by-step explanation:

yes

What is the area of the figure?
3 yd
6 yd
9 yd
Syd

Answers

Answer:

D) 48 yds^2

Step-by-step explanation:

A=(h(b)b)/2

Right side triangle equals 12

Left side triangle equals 9

A=wl

Rectangle equals 27

9+27+12=48

The ratio of girls to boys in Liza's classroom is 5 to 4.
How many girls are in her classroom if there is a total of 27 students?

Answers

Hi!

The answer is: 15 girls.

__________________________________________________________

Let

x-----> the number of girls

y-----> the number of boys

we know that

- x+y=27, Which is equation A.

- x/y = 5/4

- isolate the variable y

- y=4/5x, Which is equation B.

- 9/5x=27

- x=5x27/9

- 15 Girls.

__________________________________________________________

Hope this helps!

Cole went to the store and bought pants and shirts. He bought a total of 12 items and paid $234. If Pants cost $22 and Shirts cost $16, how many of each did he buy?

Select two equations that could be used to determine the number of pants (p) and shirts (s) Cole purchased

Answers

Answer:

Cole bought 7 pants and 9 shirts.

Step-by-step explanation:

Let p represent the number of pants and s represent the number of shirts.

Then using the provided data two equations can be formed.

p + s = 12...(i)

22p + 16s = 234...(ii)

Solve (i) and (ii) simultaneously.

Multiply (i) by 16 and subtract the resultant equation from (ii) as follows:

16p + 16s = 192

-22p - 16s = -234

-6p = -42

p = 7

Substitute p = 7 in (i) and solve for s as follows:

p + s = 16

7 + s = 16

s = 9

Thus, Cole bought 7 pants and 9 shirts.

Other Questions
harmful contamination of the environment by a chemical of agent entering it over a diffuse area is called Help please! Thanks, answer only if you know how to do this. solve for x and y x +2y= -6 -5x+4y=2 Which group was interested in holding the united states accountable for previous treaties and agreements made with American Indians?A.Jerome CommissionB. Dawes Commission C.Four Mothers Society D.Crazy Snake Society can someone help, i dont need step by step or anything what is literature the legacy of? HELP ME PLEASEEEEEKim has $250 to spend on a rental car for her trip. The rental car company charges a fee of $130 plus $0.10 per mile. Kim used the inequality to calculate the maximum number of miles, m, she could drive the rental car.Which inequality expresses the maximum number of miles Kim can drive the car?m < 3,800m < 120m < 380m < 1,200 Use the variable, n, to write an expression for seven less than a number. True or False. a radius is a segment that connects any point on the circle to the center of that circle. PLEASEE HELP I WILL GIVE BRAINIEST ANSWER FOR WHOEVER ANSWERS THIS FIRST Which of the following could NOT be the measures of the angles of a triangle?A. 600-60-60O B. 70-50-70OC. 40-400-100D. 30-120-30 60 percent of a number is 66. Which proportion best represents this relationship. The embryonic period begins with _____ and lasts for _____ weeks.fertilization; threeimplantation; siximplantation; eightfertilization; thirty-six The sum of two numbers is 225. The difference of the same two numbers is 35. Find the 2 numbers. Which two quotations provide sufficient and relevant evidence to support the author's claim in paragraph 4? c 'The Cybathlon arena is as different as its events. Yes, there is a racetrack around the floor, and seating along the outside for fans, but most of the action takes place along four parallel tracks in the center, each with rows of obstacles." (paragraph 7) "Many people can make their own breakfast, open doors while carrying bags, or get up from a deep sofa. These common tasks can be big hurdles, however, for people with prosthetic arms or legs, or those who use wheelchairs." (paragraph 8) "Through daily training, Kurs was able to transition from a wheelchair to leg braces and, recently, to an exoskeleton. Now she is a pilot in the Powered Exoskeleton Race. The exoskeleton event involves most of the same tasks as the leg race." (paragraph 16) "Wheelchairs are one of the world's oldest assistive technologies, and they can still do a lot to restore personal mobility...if the ground is flat. Navigating uneven pavement, riding over ramps, and traveling up and down stairs are still huge challenges for wheelchair users." (paragraph 17) Functional electrical stimulation (FES) is a way to move paralyzed muscles. When an electrical current flows through electrodes on the skin, O the muscles contract. By applying the current in certain patterns, FES can help people who are paralyzed to grasp, stand, and even walk." (paragraph 19) Help me please pleasessssss Ok I know about the vertical Line thing but this has got me confuzled! Can someone help! Will give crown to first answer that is correct! Which of the verbs are intransitive and transitive tolddoletdiptradedbe Given h(x) = -x + 2, solve for x when h(x) = -3.;-; Integration of Knowledge & Ideas (c) Generalize - What does the final paragraph tell you about the relationship between the writer & her mother & their relationship with the city? Explain *the story called museum indians