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

3x=10 how do you solve this, i hate math and dont know what to do. help?

Answers

divide 3 on both sides
x=3.33

Answer:

x = 10/3

Step-by-step explanation:

Okie so to solve a one variable equation, we have to isolate x. To do that, we have to divide both sides of the equation by 3 so we get x = 10/3.

The standard diameter of a golf ball is 42.67 mm. A golf ball factory does quality control on the balls it manufactures. Golf balls are randomly measured to ensure the correct size. One day, an inspector decides to stop production if the discrepancy in diameter is more than 0.002 mm. Which function could represent this situation?
f(x ) = x – |42.67|
f(x ) = |x| – 42.67
f(x ) = |42.67 – x|
f(x ) = 42.67 – |x|

Answers

Answer:

c

Step-by-step explanation:

The function that could represent this situation is f(x ) = |42.67 – x| (Option C).

What quality control?

The process of quality control helps a producer to ensure that the correct standard is  maintained in the production of goods. It involves the testing of products to ensure that they conform to specifications.

Now we are told that factory wants to ensure that the discrepancy in diameter is not more than 0.002 mm. Since the discrepancy could be above or below the given value then it follows that the function that could represent this situation is f(x ) = |42.67 – x| (Option C).

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How can you write 5+5+5 using a different math operation

Answers

Answer:

five plus five plus five

Step-by-step explanation:

This is in wording

Answer:

Lots of ways

Step-by-step explanation:

5x3

5(3)

5+5+5

10+5

if AB || CD and AC = BD, is ACD = CAB?

Answers

Yes becauseGuess the sides are all equal but not one so 8BACDNequals CAB

A science teacher ordered S2278 worth of microscopes and dissection kits for the new science lab. A total of
26 microscopes and 56 dissection kits were ordered. A microscope costs three times as much as a dissection
kit. Write a system of linear equations that represents this situation. What is the cost of each item?

Answers

Answer:

[tex]26M + 56D = 2278[/tex] ---- equation 1

[tex]M = 3D[/tex] ---- equation 2

A microscope costs S51 and a dissection kit costs S17

Step-by-step explanation:

Given

Represent microscope with M and Dissection kits with D

Cost:

[tex]M = 3D[/tex]

[tex]Total = 2278[/tex]

Required

Represent as an equation:

To do this, we represent the equation in terms of cost and quantity

In terms of cost, we have:

[tex]26M + 56D = 2278[/tex] ---- equation 1

and

[tex]M = 3D[/tex] ---- equation 2

Substitute 3D for M in equation 1

[tex]26*3D + 56D = 2278[/tex]

[tex]78D + 56D = 2278[/tex]

[tex]134D = 2278[/tex]

Divide both sides by 134

[tex]D = \frac{2278}{134}[/tex]

[tex]D = 17[/tex]

Substitute 17 for D in [tex]M = 3D[/tex]

[tex]M = 3 * 17[/tex]

[tex]M = 51[/tex]

Hence:

A microscope costs S51 and a dissection kit costs S17

m to the power of 4 =
when m is 2/3
plz help me

Answers

Answer:

WAIT I MESSED UP DONT ANSWER THAT

Step-by-step explanation:

Answer:

[tex]\frac{16}{81}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3} ^{4} = \frac{16}{81}[/tex]  

I hope this helps!

A(n)______ dot on the graph of an inequality shows that the points IS a solution of the inequality.
A) flat
B) open
C) closed
D) invisible​

Answers

Answer:

c because an open doesnt mean its guaranteed but it starts at closed.

Please help me!! Thank youu

Answers

Answer:

6.5x and 3.05x were adding incorrectly.

Step-by-step explanation:

The answer to adding those two numbers would be 9.55x

Answer:

error is in step A. 6.5x and 3.05x do not combing to 10x. instead, it should be 9.55x

Let's say you have 6 lbs of apples for $12.96. What is the unit price? (Meaning, what is the cost of 1 pound of apples?)​

Answers

Answer:

$2.16 per pound

Step-by-step explanation:

First, you would need to divide the price by the amount

$12.96 / 6 lbs = $2.16 per pound

That is the unit price

8. You draw one card from a standard 52-card deck. In how many ways could the card be an even number or a queen?​

Answers

Answer:

The card could have been 50% an even number and 25% for a queen

Step-by-step explanation:

Please answer FAST i need your help and when you put your answers put them like
1.
2.
3.
4.
5.

Answers

Step-by-step explanation:

3.5

1

-7.14

1

1/5

6.5

sorry if this and are wrong

1. 3.5
2.=-1/8
3.-30.66
4.=1/3

if there are 21 ladybugs how many bumblebees?​

Answers

Answer:

I need the rest of the question to answer


7x-11>3
Solve and graph for X
Beep help please ASAP

Answers

71/2x-4 and the graph is attached

what is (3x+2)(4x-5)

Answers

Answer:

12x^2 - 7x - 10

Simplify, or in other words...multiply them

The first five terms of an arithmetic sequence are 8, 13/2, 5, 7/2, and 2. Which function, f(x), could be used to describe the xth term of the sequence?

Answers

Answer:

f(x) = 8 - 1.5x

Step-by-step explanation:

Here, we want to write a function that can be used to describe the x th term of the sequence

Mathematically, this can be calculated by looking at the numbers in the sequence

The difference between each successive term

is -1.5 ( 6.5-8, 3.5 -5)

So the formula for then x th term will be;

f(x) = 8 - 1.5x

where x refers to the number of the term , for example the 4th term

Answer:

-1.5x+9.5

Step-by-step explanation:

-1.5(1)+9.5=8

-1.5(2)+9.5=6.5

-1.5(3)+9.5=5

and so on....

PLS HELP ME :( i don’t understand this and i can’t afford to get anything wrong right now!!

Answers

Answer: Point A represents Q1, Point B represents the Median, Point C represents Q3

Step-by-step explanation:

how do i find my sister's math question she just posted how do i find it

Answers

Answer:

You can find it on her profile, in the questions section.

Step-by-step explanation:

Tap her profile picture, which will take you to her profile.

Tap the questions bar, which should lead you to all questions she has posted.

Lastly, tap the question you want! It should show you the date or time it was posted.

A brainiest is this doggo's bone!

5x-6
3x +2
5yº
Only enter the number. What is the value of x?

Answers

Answer:

4

Step-by-step explanation:

find one arithmetic means between 2 and 32? step-by-step​

Answers

Answer:

17

Step-by-step explanation:

An arithmetic mean is the average of the 2 given numbers, that is

mean = [tex]\frac{sum}{count}[/tex] = [tex]\frac{2+32}{2}[/tex] = [tex]\frac{34}{2}[/tex] = 17

8993.2x 10³ use the powers of ten rules please help iv been stuck on this​

Answers

Answer:

I think the answer is 8993200

Step-by-step explanation:

i think its wrong but I try my best

Which could be the missing first term of the expression that, when fully simplified, would be a binomial with a degree of 4? Select three options.

________ – 5xy3 + 9x2y

0
5xy3
9x2y
8y4
4xy3

Answers

Answer:

Yo The answer is A,C,E or 0, 9x2y, and 4xy3

Step-by-step explanation:

Got it right on Edge. Good luck

Answer: A, C, E

Step-by-step explanation:

You want to apply two coats of paint to walls that are 8 ft high in a room that is 7 11/12 feet wide and 9 5/6 feet long. One gallon of paint covers 350 square feet.

Answers

Answer:

Paint required will be 2.06gallons

Step-by-step explanation:

The given dimensions are

Height - 8ft

Width - 7 [tex]\frac{11}{12}[/tex] = 7.9ft

Length - 9. 83ft

To calculate the the amount of paint required to paint the walls we need to find the area of the walls

wall 1  = height * width of room= 8 * 7.9 = 63.28[tex]ft^2[/tex]

wall 2 = height * length = 8*9.83 = 78.64 [tex]ft^2[/tex]

The total area of the 4 walls will be = 2*(63 .28+78.64)= 283.84[tex]ft^2[/tex]

ceiling area = 77.66[tex]ft^2[/tex]

total area to be painted = 283.84 + 77.66 = 361.50[tex]ft^2[/tex]

One gallon of paint covers 350 [tex]ft^2[/tex] of area

so 361.50 [tex]ft^2[/tex] area will be covered by = 361.5/350 = 1.03gallons of paint

also we need two coating so the paint required will be = 1.03 * 2 =2.06gallons

                                           

Find m∠ABC.





24°



58°



19°



37°

Answers

Answer:

3x-14=2x+10

add 14 to both sides

3x-14+14=2x+10+14

3x=2x+24

subtract 2x from both sides

3x-2x=2x+24-2x

x=24

Plug x into the equations

3(24)-14=58

2(24)+10=58

they are the same angle

B=122

58-180=122

116-360=244

244/2=122

I hope this is good enough:

Answer:

X=24

Step-by-step:

3x-14=2x+10

add 14 to both sides

3x-14+14=2x+10+14

3x=2x+24

subtract 2x from both sides

3x-2x=2x+24-2x

=24 deg

An airplane travels at a constant speed of 320 miles per hour. How far, in miles, will the airplane travel in 15 minutes?

Answers

Answer:

80 miles.

Step-by-step explanation:

If it is traveling at 320 miles per hour, and its asking how much its traveled in 15 minutes you do this:

Since 15 minutes is 1/4 of an hour, you take 1/4 of how fast they are traveling at mph, which in this case is 320 mph.

320/4=80

The airplane will travel 80 miles in 15 minutes.

What is Distance?

The length along a line or line segment between two points on the line or line segment.

we need to use the formula of distance.

distance = speed × time

Since the speed of the airplane is 320 miles per hour, we need to convert 15 minutes to hours:

15 minutes = 15/60 = 0.25 hours

Now we can substitute the values into the formula:

distance = speed × time

distance = 320 × 0.25

distance = 80

Therefore, the airplane will travel 80 miles in 15 minutes.

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1. What is the solution to the equation modeled below?

Answers

Answer:

3.67

Step-by-step explanation:

the equation is 3x + 5= 16

do 16 - 5 to get 11

next do 11 divided by 3 to get 3.67

hope this helps :)

this answer may be incorrect because the answer was really 3.66666666667

⚠️⚠️I literally have almost a minute left please heLP I WANNA FINISH⚠️⚠️

Answers

I think it is 6. 2/8

What is the value of 4.76 0.015?

Answers

Answer:

3.645

Step-by-step explanation:

4.760-0.015=3.645

Mike has a recipe that feeds one person that calls for 3/8 teaspoon
of salt. How much salt is needed to make the recipe if he needs to cook
the recipe for 5 people? ASAP correct answers only
a. 3/40 teaspoon c. 1 teaspoon
b. 15/40 teaspoon d. 1 7/8 teaspoons

Answers

Answer:

D

Step-by-step explanation:

You can multiply the numerator by 5 to get the answer of 15/8 which when simplified comes to 1 7/8 teaspoons. 8 goes into 15 one time with 7 left over

Hope i explained everything thoroughly!  

The graph shows the savings in Andre’s bank account.

Answers

Answer:

As the number of week increases, the Andre's savings also increases

Step-by-step explanation:

Given

The attached graph

Required

Explain what the slope represents (Missing part of the question:)

First, we'll check the slope of the graph.

Represent time in weeks with x and savings in dollar with y

So, we have the following details:

[tex](x_1,y_1) = (0,40)[/tex]

[tex](x_2,y_2) = (8,80)[/tex]

Slope (m) is then calculated as thus:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{80 - 40}{8 - 0}[/tex]

[tex]m = \frac{40}{8}[/tex]

[tex]m = 5[/tex]

The calculated slope is positive and this implies that: As the number of week increases, the Andre's savings also increases

What is x- value of point A

Answers

Answer:

5

Step-by-step explanation:

The x value of point A is 5
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