A robot vacuum cleans a dirty floor using multiple passes. During each pass, 24% of the dirt is removed. If the floor initially has 550 ml of dirt, write a function to find out how much dirt will remail after 10 passes?

please include function and value.​

Answers

Answer 1

The function is given by y = 550(0.76)ˣ, after 10 passes, the number of dirts is about 35.36 ml

How to solve an exponential function?

Let y represent the amount of dirt on the floor after x passes.

The floor initially has 550 ml of dirt, hence a = 550.

During each pass, 24% of the dirt is removed. Hence b = 100% - 24% = 76% = 0.76

The equation is given by:

y = 550(0.76)ˣ

After 10 passes:

y = 550(0.76)¹⁰ = 35.36 ml

The function is given by y = 550(0.76)ˣ, after 10 passes, the number of dirts is about 35.36 ml

Find out more on exponential function at: https://brainly.com/question/12940982


Related Questions

please help i dont take links or files
What do all of the numbers have in common
1.) 13%
2.) 0.125
3.) 1
----
5
4.) 10%

PLEASE HELP I DONT TAKE LINKS OR FILES AND PLEASE SHOW YOUR WORK

Answers

Answer: They are all less than 1

13% = 0.13 is less than 1

So is 0.125

And so is [tex]\frac{1}{5} = 0.2[/tex]

Same goes for 10% = 0.10

They are all less than 1

Please help me!!
If there is an equation let's say

15y = 6/x

Can you multiply 15y by 6

to get 15/6y=x


Or do you need to multiply by x and divide by 15

Answers

Answer:

Yes Girlie, you need to multiply by x and divide by 15!!!!!!!!!

Step-by-step explanation:

A clothing store is having a sale where all items are 60% off. What is the sale price of a $260 wool
coat?

Answers

Answer:

$104

Step-by-step explanation:

$260 - 60% = $104

PLEASE ANSWER I NEED MY MATH GRADE UP PLEASE GUYS
The prism below is made of cubes which measure of an inch on one side. What is the volume?


Note: Figure is not drawn to scale.
A. 12 cubic in


B. 24 cubic in


C. 3 cubic in


D. 9/2 cubic in

Answers

Answer: B-24 cubic inches

Explanation:
Lxwxh=V
2x3x4=24

A pound of clementines costs $2.49 and ms. wild buys 1.8 pounds. how much did she spend?

Answers

Answer:

i believe she spent $4.482 on clementines

I NEED HELP PLEASE ILL GIVE BRAINLIEST


WHICH GRAPH SHOWS Y = -6

Answers

Answer:B

Step-by-step explanation:

Answer: B

Step-by-step explanation:

The line on B is at the Y coordinate -6.

Horizontal is the X

Vertical is the Y

Which symbol makes the comparisons true ? Complete the comparison -6 ? 3

Answers

Hello!

[tex]======================================[/tex]

Negative numbers are always less than positive ones.

Do you remember the symbol for "less than"? That's right, "<" :)

Hence,

-6<3

Because

-6 is negative (the - sign tells us that)

3 is positive

[tex]===================================[/tex]

Notes: Hope everything is clear.Let me know if you have any questions!Answered by:

~DiamondS~

Complete the description of what happens to a figure when the given sequence of transformations is applied to it: (x, y) + (-x,y); (x,y) → (0.4x, 0.4y);(x, y) + (x - 8, y + 8).

Reflection over the (x-axis/origin/y-axis); (transformation/translation/dilation/movement upwards) with a scale factor of 0.4; translation 8 units left and ___ units up.​

Answers

Answer:

reflection over the y-axis; dilation with a scale factor of 0.4; translation 8 units left and 8 units up

Step-by-step explanation:

Reflection

The first transformation changes the sign of the x-coordinate. That means a point that was some number of units (3, for example) right of the y-axis will be transformed to a point 3 untis left of the y-axis. It is reflected across the y-axis.

__

Dilation

The second transformation multiplies each coordinate value by 0.4. A point that was some number of units (3, for example) away from the origin, will be transformed to a point 3×0.4 = 1.2 units from the origin. It is dilated by a factor of 0.4.

__

Translation

The third transformation subtracts 8 from the x-coordinate and adds 8 to the y-coordinate. The x-coordinate is a measure of the distance to the right of the y-axis, so subtracting 8 from the x-coordinate means the point is 8 fewer units to the right of the y-axis. It is translated left 8 units.

Similarly, the y-coordinate is a measure of the distance up from the x-axis. Adding 8 to the y-coordinate will move the point 8 more units up from the x-axis. It is translated up 8 units.

Solve: 2x + 3 = -1
Please help me on this question :)

Answers

Given that 2x + 3 = -1 is a mathematical formula that expresses the equality of two expressions, the value of x in the equation is -2.

What is an Equation?

An equation is simply a mathematical formula that expresses the equality of two expressions, using the equals sign as a connection between them.

Given the data in the question;

2x + 3 = -1Value of x = ?

2x + 3 = -1

First, we collect like terms.

2x = -1 - 3

2x = -4

divide both sides by 2
2x/2 = -4/2

x = -4/2

x = -2

Given that 2x + 3 = -1 is a mathematical formula that expresses the equality of two expressions, the value of x in the equation is -2.

Learn more about how to solve equations here: brainly.com/question/14686792

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Given \tan A=\frac{11}{60}tanA=
60
11

and that angle AA is in Quadrant I, find the exact value of \cos AcosA in simplest radical form using a rational denominator.

Answers

Answer: 60/61

Step-by-step explanation:

a. 23,320ft
b. 5,830 ft
c. 11 660 ft
d. 18,000 ft​

Answers

Answer:

Step-by-step explanation:

D 18,000

Help me please boghngghjgy

Answers

Answer:

224

Step-by-step explanation:

7×8×4= 224 that is the answer

2x+2y=6 3x-y=5 equivalent equation

Answers

Answer:

x = 2, y = 1

Step-by-step explanation:

Given:

[tex]\begin{bmatrix}2x+2y=6\\ 3x-y=5\end{bmatrix}[/tex]

Solve:

[tex]\mathrm{Isolate\;x\;for\;2x+2y=6:x=3-y}[/tex]

[tex]\mathrm{Substitute\:}[/tex]

[tex]\begin{bmatrix}3\left(3-y\right)-y=5\end{bmatrix}[/tex]

[tex]\mathrm{Simplfy}[/tex]

[tex]\begin{bmatrix}9-4y=5\end{bmatrix}[/tex]

[tex]\mathrm{Isolate\;y\;for\;9-4y=5:y=1}[/tex]

[tex]\mathrm{For\:}x=3-y\;\mathrm{Substitute\:}y=1[/tex]

[tex]x=3-1[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x=2[/tex]

[tex]\mathrm{The\:Answers\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=2,\:y=1[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Check Answer:

Since [tex]x =2 , y =1[/tex]

[tex]2(2)+2(1)[/tex]

[tex]4 + 2[/tex]

[tex]= 6[/tex]

True

[tex]3(2) - (1)[/tex]

[tex]6 -1[/tex]

[tex]5[/tex]

True

Hence, [tex]x = 2, y = 1[/tex]

~Lenvy~

Karen has just baked 17 cookies. She wants to put them in paper bags in groups of 6. How many groups of 6can she make ? How many cookies will she have remaining ?

Answers

Answer:

She can make 2 groups of six, with five cookies remaining

Step-by-step explanation:

First, divide 17 by 6 to get 2 5/6. The whole number is the number of groups she can make, and the fraction is how many are left over. She can make two groups, with five left over.

Hopefully this helps - let me know if you have any questions!

Answer:

2 groups with 5 left over.

Step-by-step explanation:

to solve, take 17 and divide it by 2. since we only have 17 cookies, we round down no matter what. to get the left over, multiply 2 by 6, then subtract by 17.

please mark as brainlest.

HEELPPPP ILL GIVE BRAINLIEST
Billy invested $1000.00 into a savings account on the day his daughter was born. The money is being saved for her college tuition. Billy leaves the money in a savings account until his daughter's 18th birthday. The account earned a simple interest rate of 6.925%. What is the total amount in the account?

Answers

Answer:

Let the amount invested at 3% = x

Let the amount invested at 6% = y.

From the total amount invested, we get this equation.

x + y = 18

Now we look at the interest earned.

The 3% account earns 0.03x

The 6% account earns 0.06y

5% on the entire amount is 0.05 * 18 = 0.9

This gives us the second equation.

0.03x + 0.06y = 0.9

Now we have a system of 2 equations in 2 unknowns.

x + y = 18

0.03x + 0.06y = 0.9

Solve the first equation for y:

y = 18 - x

Replace 18 - x for y in the second equation.

0.03x + 0.06y = 0.9

0.03x + 0.06(18 - x) = 0.9

0.03x + 1.08 - 0.06x = 0.9

-0.03x + 1.08 = 0.9

-0.03x = -0.18

x = 6

Answer: He invested $6 at 3%

Savage growth of human hair is 0.5 in per month find how long it takes a human to grow 3 inches of hair for a human

Answers

It will take 2 months to grow an inch of hair. 0.5 times 2 equals 1 inch. 2 months times 3 in. Is equal to 6. Therefore it takes 6 months to grow 3 inches of hair

In the spinner above, the section labeled *2* is twice as large as each of the sections labeled “3,” “4,”and “5”; the section labeled "1” Is three times as large as each of the sections labeled "3” “4” and “5”About how many times should Larry expect to land on "1"

A. 100
B. 75
C. 40
D. 25

Thank you!

Answers

Answer:

B.75

Step-by-step explanation:

Scientists were studying snakes by catching, tagging, and releasing 77 snakes. A month later, the scientists come back and catch 11 snakes, of which 7 are tagged. Assuming that the catch is representative, how many snakes are there?

Answers

I believe the answer is 81 but I’m not 100% sure

An expression is given
3(3 squared2 -4)

Answers

Answer:

0.728 to nearest thousandth.

Step-by-step explanation:

3(3 squared2 -4)

= 9√2 - 12

= 0.728 to nearest thousandth.

how do you make x the subject on this ​

Answers

4x= a(x+b)
a(x+b)
X= ————-
4

What is the length of PR?

Answers

Answer:

c 6

Step-by-step explanation:

since angles are equal then the sides can be equal

(AB÷PQ)=(AC÷PR)

(20÷5)=(24÷X)

4=24÷X

X=6

PLS HELP ILL MARK AS BRAINLIEST PLSS

Answers

Answer:

10%

Step-by-step explanation:

I think it's right lol but I could be wrong I forgot a lot of this stuff

but out of all the data it goes from 22-42 so 20 points in total

there is only 2 of the data points behind 24, so it is 2/20 or 10%

a) what is average rate of change of f(x) over the interval from x=5 to x=9? (table shows values of f(x). graph shows function of g(x).)

table:
x: 4, 5, 6, 7, 8, 9, 10
F(x): -8, -4, 8, 10, 11, 14 ,18


b) Find the average rate of change of g(x) over the interval from x = 0.25 to x= 1. (Write answer as a simplified fraction. Show work)

c) if g(x) represents the height of a ball that was throw. up into the air, interpret your answer from part b) in terms of the real-world it represents.

Answers

Answer:

See below for answers and explanations

Step-by-step explanation:

Part A

The average rate of change of a function over the interval [tex][a,b][/tex] is equal to [tex]\frac{f(b)-f(a)}{b-a}[/tex], hence:

[tex]\frac{f(b)-f(a)}{b-a}\\\\\frac{f(9)-f(5)}{9-5}\\\\\frac{14-(-4)}{9-5}\\ \\\frac{14+4}{4}\\ \\\frac{18}{4}\\ \\\frac{9}{2}[/tex]

Therefore, the average rate of change of [tex]f(x)[/tex] over the interval [tex][5,9][/tex] is [tex]\frac{9}{2}[/tex].

Part B

Do the same thing as in Part A:

[tex]\frac{f(b)-f(a)}{b-a}\\ \\\frac{f(1)-f(0.25)}{1-0.25}\\ \\\frac{2-5}{0.75}\\ \\\frac{-3}{0.75}\\ \\-4[/tex]

Therefore, the average rate of change of [tex]g(x)[/tex] over the interval [tex][0.25,1][/tex] is [tex]-4[/tex].

Part C

To interpret our answer from Part B in terms of the real world it represents, we say that between 0.25 seconds and 1 second, the ball falls at a rate of 4 feet per second (since our average rate of change is negative).

The average rates of change are:

a) 4.5b) -4c) It means that in the interval, for each second that passes the height decreases by 4ft.

How to get the average rate of change?

For a function f(x), the average rate of change on the interval [a, b] is:

[tex]r = \frac{f(b) - f(a)}{b -a}[/tex]

a) Here we have:

[tex]r = \frac{F(9) - F(5)}{9 - 5} = \frac{14 - (-4)}{4} = 4.5[/tex]

b) Now we look at g(x) on the interval [0.25, 1]

Notice that g(0.25) = 5 and g(1) = 2

Then we have:

[tex]r = \frac{2 - 5}{1 - 0.25} = -4[/tex]

c) That average rate of change means that, in average, in that interval in each second the height decreases by 4 ft.

If you want to learn more about average rates of change:

https://brainly.com/question/8728504

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Which fraction represents the slope formula for the line containing (4, 9) and (0, 5)? A. B. C. D.

Answers

The fraction that represnts the slope formula for the line that contains the points, (4, 9) and (0, 5) is given as: Slope = (-4)/(-4) = 1

What is the Formula for the Slope of a Line?

Slope of a line = change in y/change in x = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

Given the following points:

(4, 9) and (0, 5)

Slope of the line would be:

Slope = (5 - 9)/(0 - 4)

Slope = (-4)/(-4)

Slope = 1

Therefore, the fraction that represnts the slope formula for the line that contains the points, (4, 9) and (0, 5) is given as: Slope = (-4)/(-4) = 1

Learn more about slope formula on:

https://brainly.com/question/15291483

Can pls someone help me? and show how it did it?

Answers

Answer:

[tex]x\geq -3[/tex]

Step-by-step explanation:

We can start by combining like terms:

[tex](3x-7x)+(-5+2)\leq 9\\-4x-3\leq 9[/tex]

We want to isolate x, so we must add 3 and divide by -4:

[tex](-4x-3\leq 9)+3\\(-4x\leq 12)/-4\\\\x\geq -3[/tex]

Because we had to divide by -4, the inequality sign had to flip.

The solution to an inequality is graphed on the number
line.
What is another way to represent this solution set?
-5 -4 -3
O {x | x <4.5)
O {x x 34.5}
O {x | x > 4.5)
O {x | x 2 4.5)
+
4 5
0
1
2
3

Answers

Answer:

Option b is the answer.

Step-by-step explanation:

As you can see in the image you have given, the x values that are less than or equal to 4.5 are the elements of the solution set.

HELP PLEASE
What is the surface area of this right triangular prism?
Enter your answer in the box.
in²

Answers

The surface area is the sum of the areas of the faces of a figure. We can break this figure down into 3 different shapes: the base rectangle, the rectangles that come to a point, and the two triangles.

Area of a Rectangle = base x height

Area of a Triangle = 1/2 x base x height

Base rectangle = 24 x 12 = 288

Rectangles that come to a point = 2(12 x 13) = 2(156) = 312

---There are two rectangles, which is why I multiplied the area by 2.

Triangles = 2(1/2 x 24 x 5) = 2(1/2 x 120) = 2(60) = 120

Surface Area = sum of all the areas of the faces


Surface Area = 288 + 312 + 120 = 720 in^2

Answer = 720 in^2

Hope this helps!

a coach is buying snacks for 22 players at a soccer match. She pays a total of $77 to buy each player a bottle of water and an energy bar. The price of one energy bar is $2. w equal the price of a bottle of water. Write an equation that represents the situation.

Answers

Answer:

$1.5 per water bottle.

Step-by-step explanation:

One energy bar is equal to $2.

$2 * 22 players is equal to $44.

$44 - $77 is equal to $33.

$33 ÷ 22 players is $1.5.

the reason I divided $33 by 22 players is because you need to know how many dollars did he pay for each bottle of water so you divide the amount of dollars by the amount of players to get the amount of dollars of each water bottle.

There were 6 biscuits in each box. how many biscuits are there in 7 boxes?

Answers

There was 42 biscuits in the boxes

42 biscuits or 6 times 7 :]

on a blueprint, the area of a tennis court is 16.25cm². a) if the scale on the blueprint is 1cm: 4m, what is the actual area of the tennis court? b) if the length of the tennis court on the blue priny is 6.25 cm what it the actual length of the tennis court

Answers

Step-by-step explanation:

so,

1cm : 4m

that means the factor is 1/400 (as 1 m = 100 cm).

also to remember : 1 m² = 100cm×100cm = 10,000 cm²

the area of a rectangle is

length × width

if both dimensions are shortened by a factor (1/400) in our case :

length×1/400 × width×1/400 =

= length × width × 1/400² = length × width × 1/160,000

that means the area of the actual tennis court is

160,000 times the area of the blueprint picture :

160,000 × 16.25 = 2,600,000 cm² = 260 m²

we now know that the actual length of the tennis court is 400 times the length of the blueprint length :

400 × 6.25 = 2,500 cm = 25 m

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