Review the table showing the percentage of
contaminants remaining in a water sample after
passing through each round of filters.
In the exponential regression equation, what does the
value of b indicate?
Round
% of Contaminants
Left in Water Sample
0
100
6.3% of the contaminants remain in the water
sample after each round of filters.
14.9% of the contaminants remain in the water
sample after each round of filters.
O 6.3% of the remaining contaminants are removed
from the water sample after each round of filters.
14.9% of the remaining contaminants are removed
from the water sample after each round of filters.
1
15
2
2
3
0.3

Review The Table Showing The Percentage Ofcontaminants Remaining In A Water Sample Afterpassing Through

Answers

Answer 1

Answer: it’s C

6.3% of the remaining contaminants are removed from water samples after each round of filters

Step-by-step explanation:

I got a good feeling

Answer 2

The value of b indicates 14.9% of the contaminants remains in water after each round of filters.

What is exponential regression?

Exponential regression refers to the process of arriving at an equation for the exponential curve that best fits a set of data.

What is the general form of the exponential regression equation?

[tex]y =a b^{x}[/tex] is the general form of the exponential regression equation.

Let the exponential regression equation be [tex]y = ab^{x}[/tex].

Taking natural logarithm both the sides of [tex]y = ab^{x}[/tex]

⇒ [tex]ln y = a + x ln b..(i)[/tex]

For the value of a and b substitute the value of y and x from the given table.

substitute, y = 100 and x = 0 in equation (i)

⇒ [tex]ln100= a + 0[/tex]

⇒ a = 4.6

Substitute, y = 15, x = 1 and a = 4.6 in equation (i)

⇒ [tex]ln15 = 4.6 +( 1)lnb[/tex]

⇒[tex]2.7 - 4.6 = lnb[/tex]

⇒[tex]lnb = -1.9[/tex]

⇒ b = [tex]e^{-1.9}[/tex]

⇒ b = 0.149

b = 14.9%

Hence, the value of b indicates 14.9% of the contaminants remains in water after each round of filters.

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Related Questions

What type of number is
5
6
A) rational
B) irrational
C) integer
D) whole

Answers

Answer:

whole number if you can pick more choices it would be A, C, and D

hope this helps

have a good day :)

Step-by-step explanation:

Find the value of x, when log 10x + log 2 = log 60

Answers

Answer:

x = 3

Step-by-step explanation:

log 10x + log 2 = log 60

Subtract log 2 from each side

log 10x + log 2 -log 2 = log 60 - log 2

log 10x  = log 60 - log 2

We know  that log a - log b = log (a/b)

log 10 x = log (60/2)

log 10x  = log 30

We know log a = log b  that a = b

10x = 30

Divide by 10

10x/10 = 30/10

x =3

PICTURE INCLUDED!
A circle has a center point (4,1 and a point on the circle edge of (9, 1)​

Answers

Answer:

3rd choice

Step-by-step explanation:

i found it from online

what is a 10th term and the first 3 terms of :(


2
)

Answers

Step-by-step explanation:

your question is quite easy but the way you put it makes it complicated for me to understand. please can you rewrite it in a more easier way

Is 2.99 irrational or rational?

Answers

Answer:

rational

Step-by-step explanation:

its decimal expansion terminates after 9 and it can also be represented as fraction.

Answer:

Rational

Step-by-step explanation:

Irrational numbers are numbers that cannot be written as a fraction (denominator of 1 does not count). 2.99 can easily be written as a fraction (e.g.  [tex]\frac{299}{100}[/tex]) and therefore is rational.

sadie travels through two intersections with traffic lights as she drives to work. The traffic lights operate inependently. The probability that both lights will be red when she reaches them is 0.22. The probability that the first light will be rerd and the second light will not be red is 0.33. what is the probability that the second light will be red when she reaches it

Answers

Answer:

The probability that the second light will be red when she reaches it is 0.4

Step-by-step explanation:

Given the two events are independent

Hence, the probability of both the red light is (P1) * (P2) = 0.22

The probability of first light being red = probability of both the intersections to have red light + probability that the first light will be rerd and the second light will not be red

probability of first light being red =  0.22 + 0.33 = 0.55

(P1) * (P2) = 0.22

Substituting the given values, we get -

0.55 * P2 = 0.22

P2 = 0.4

what are some good notes I can use to study for my algebra exam tomorrow?​

Answers

Answer:

all you need to do is look over your notes continue to partice as much as you can

Step-by-step explanation:

you got this

Practice questions and how to solve each type of questions

Can anyone help me with this please?

Answers

Answer:

The ones selected are correct

find acute angle between the line 2x+4y=7 and x+2y=5

Answers

Answer:

arctan(4/3) ≈ 0.9272

Step-by-step explanation:

On comparing eqⁿ to y = mx + c,

Slope of 2x + 4y = 7 is -2/4 = - 1/2

Slope of x + 2y = 5 is - 1/2

Therefore, if A is the angle b/w them,

A = arctan | (m1 + m2)/(1 - m1m2) |

A = arctan | (-½ - ½)/(1 - ¼) |

A = arctan (4/3)

PLEASE HELP ME WITH A MATH PROBLEM!!

Answers

Answer:

C.) Side-Angle-Side (SAS)

Step-by-step explanation:

SAS - side angel side


A ladder leans against the wall at the point B
(window end) from a ground level and makes an
angle horizontally at 52º. The height of ladder is 15
m. When the same ladder leans above the point B
at point A (window start) and makes an angle of 85°
horizontally. The distance between point A and
point B is

Answers

Answer:

..........

Step-by-step explanation:

Given:

The height of the ladder = 15 m

When the ladder leans at point B from the ground level, then it makes an angle  of 52° with the horizontal

When the ladder leans at point A from the ground level, then it makes an angle  of 85° with the horizontal

To find:

The distance between point A and point B is?

Solution:

To solve the above-given problem, we will use the following trigonometric ratio of a triangle:

Referring to the figure attached below, we will assume,

BD = AD = 15 m = height of the ladder

∠BDC = 52° = angle of elevation to the foot of the window

∠ADC = 85° = angle of elevation to the top of the window

Now,

In ΔBCD, we have

Opposite side = BC

Hypotenuse = BD = 15 m

θ = 52°

and

In ΔACD, we have

Opposite side = AC

Hypotenuse = AD = 15 m

θ = 85°

∴ The height of the window, AB = AC - BC = 14.94 m - 11.82 m = 3.12 m

Thus, the distance between point A and point B is 3.12 m.

-----------------------------------------------------------------------------------------------

Also View:

A ladder leaning against a wall makes an angle of 60 degree with the horizontal If the foot of the ladder is 2.5 m away from the wall , find the length of the ladder.

A I think because it’s the correct answer I found

Can you please Solve for x?

Answers

tan( 31 ) = x / 39

0.600860619 = x / 39

x = 0.600860619 × 39

x = 23.433564141

______________________________

Round to the nearest tenth :

x = 23.4

Round to the nearest hundredth :

x = 23.43

You want to buy a new HD TV for $454.95. The salesperson says if you buy the weekend of Father's day you can get a 15% discount. Find the following.

The Discount = enter how much you will save, not the percentage.

Price after Discount =

Sales Tax = (Use a sales tax of 8.25%)

Total Cost =

Answers

Answer:

See below.

Step-by-step explanation:

454.95x.15=68.24 DISCOUNT

454.95-68.24=386.71 Price After Discount

386.71x.0825=31.91 Sales Tax

386.71+31.91=418.62 Total Cost

the radius of a circle is 14.2 m. Find the circumference to the nearest tenth.​

Answers

Answer:

C=89.2

Step-by-step explanation:

The formula of the circumference of a circle is C=2piR (or C=piD). Now, when calculating, plug in the numbers, giving you C=2pi14.2. Multiply everything, you get a super long irrational number; just round. You will get 89.2.

A mug can hold 15.38 oz of coffee without overflowing. The radius of the mug is 4 cm. Given that 1 cm3 equals approximately 0.034 oz, what is the height of the mug to the nearest centimeter?
A. 13 cm
B. 9 cm
C. 11 cm
D. 7 cm

Answers

A . 13 cm is the correct answer

Find the measure of the arc or angle indicated

Answers

angle sjjsjwjsjsjsjjsjs

The terms shown below are the first three terms of a geometric sequence whose common ratio is positive.
7, 4x+8, 112.

a) Determine the value of the common ratio
b) Determine the value of X algebraically.

Answers

Answer:

a. 4

b. 5

Step-by-step explanation:

a. r = √(112/7) =√16 =4

b. 4x+8 = 28

4x = 28-8

4x = 20

x= 5

The value of X algebraically is 5 and the common difference is;4.

What is a geometric sequence?

There are three parameters which differentiate between which geometric sequence we're talking about.

The first parameter is the initial value of the sequence.

The second parameter is the quantity by which we multiply previous term to get the next term.

We are given that  terms shown below are the first three terms of a geometric sequence whose common ratio is positive.

7, 4x+8, 112

Therefore, the common difference is;

r = √(112/7) =√16

r =4

Now, 4x+8 = 28

4x = 28-8

4x = 20

x= 5

The value of X algebraically is 5.

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You randomly roll a number cube (single die).

What is the probability that you roll a 4.

Group of answer choices

2/3

6

1/6

4/5

Answers

Answer:

The probability that you will roll a 4 is 1/6

Step-by-step explanation:

A basic number cube has 6 sides.

Each side is marked by one of the numbers: 1, 2, 3, 4, 5, 6

The 4 is only on one out 6 of the sides so it is 1/6 probability

Please considering pressing the thank you button if it helped.

Write an equation of the line with slope -1 passing through (8,5).

Answers

Answer:

y = -1x + 13

Step-by-step explanation:

y = -1x + b

5 = -1(8) + b

5 = -8 + b

13 = b

the town halls of havertville and north town are shown on the map if the distance between grid lines represents 1 mile what is the distance between the two town halls? round your answer to the nearest tenth

Answers

Answer:

7.2 miles

Step-by-step explanation:

See comment for complete question.

Let:

[tex](x,y) \to Havertville[/tex]

Northtown will be represented as:

[tex](x+6,y+4)[/tex] --- i.e 6 units right and 4 units up

The distance both is calculated using:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

This gives:

[tex]d = \sqrt{(x - (x + 6))^2 + (y -( y + 4))^2}[/tex]

Remove brackets

[tex]d = \sqrt{(x - x - 6)^2 + (y - y - 4)^2}[/tex]

Evaluate like terms

[tex]d = \sqrt{(-6)^2 + (-4)^2}[/tex]

[tex]d = \sqrt{36 + 16}[/tex]

[tex]d = \sqrt{52}[/tex]

[tex]d = 7.2\ units[/tex] -- approximated

From the question, we understand that:

[tex]1\ unit = \ mile[/tex]

So:

[tex]d = 7.2\ miles[/tex]

Sue is two years older then Lily who is twice as old as Heather. if the total ages of all the girls is 27, how old is each girl?

Answers

Answer:

sue = 12

lily = 10

heather = 5

Step-by-step explanation:

'l' = lily's age

'h' = heather's age

sue = 'l + 2' but, since 'l' is 2h we can say sue's age is '2h+2'

l = 2h

2h+2 + 2h + h = 27

5h = 25

h = 5

l = 2(5) = 10

sue is 10+ 2, or 12

F
110°
H
G
Find angle G

Answers

Answer:

Any picture ?

Step-by-step explanation:

One ticket to a show costs $20 at full price. Susan buys 4 tickets using a coupon that gives her 25% discount.

Answers

Answer: [tex]\$60[/tex]

Step-by-step explanation:

Given

One ticket costs $20

Susan buys 4 tickets with 25% discount

Cost of 4 tickets is [tex]4\times 20=\$80[/tex]

On applying discount, it costs

[tex]\Rightarrow 80-80\times 0.25\\\Rightarrow 80(1-0.25)\\\Rightarrow 80\times 0.75=\$60[/tex]

So, total cost of tickets is [tex]\$60[/tex].

Y/3+y/4=5/6
Find the LCD that would eliminate the fractions

Answers

Answer:

the answer is in the picture


What attributes were used to organize the shapes in Circle A and Circle B?

I need a answer ASAP! And I really want it to be right!!

Have a great day!

Answers

Left one: shapes with right angles
Right one: shapes where opposite sides are parallel (or shapes where opposite sides are congruent

For circle A, attribute used is right angle.

For circle B, attribute used is parallel lines.

What is right triangle?

A right triangle consists of two legs and a hypotenuse. The two legs meet at a 90° angle and the hypotenuse is the longest side of the right triangle and is the side opposite the right angle.

What are Similarities of square, rectangle and parallelogram?

A square, rectangle and parallelogram are quadrilaterals. Opposite sides of square, rectangle and parallelogram are parallel to each other. Adjacent angles of square, rectangle and parallelogram are supplementary. Diagonals of square, rectangle and parallelogram bisect each other.

Circle A consists of triangles.

By observing clearly that in circle A there are two right angled triangles.

For circle A, attribute used is right angle.

Circle B consists of 1 square, 1 rectangle and 2 parallelogram.

We know that in a square, rectangle and parallelogram, there are two pair of parallel lines. Opposite sides of square, rectangle and parallelogram are parallel to each other.

For circle B, attribute used is parallel lines.

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Find the sum of the first 30 terms for the given arithmetic sequence.
8, 1, -6, -13,...
-3107
-2805
-1705
-2508

Answers

Answer:

Step-by-step explanation:

Find the last term of the sequence.

a1 = 8

d = -7

n = 30

a30 = 8 + (n - 1)*(-7)

a30 = 8 + (30 - 1)*-7

a30 = 8 + 29*-7

a30 = 8 - 203

a30 = -195

Sum = (a + L)*n/2

Sum = (8 + -195) * 30/2

Sum = - 187  * 15

Sum = - 2805

If you start with $1000 and invest it in account that pays 3% interest compounded once a year. How much
money will you have in 10 years? (Show your equation)

Answers

Answer:

[tex]A = P(1 + \frac{r}{n} )^{nt}\\\\P = 1000\\r = 3\% = \frac{3}{00} = 0.03\\n = 1\\t = 10\\\\A = 1000( 1 + \frac{0.03}{1} )^{10}= 1000(1.03)^{10} =\$1343.92[/tex]

What is the area of the hexagon? 5 cm 8 cm 9.28 cm​

Answers

Answer:

57.12 cm²

Step-by-step explanation:

The given dimensions of the hexagon are;

The side length of the hexagon, s = 5 cm

The distance across flats = 8 cm

The distance across corners = 9.28 cm

The area of a regular hexagon, 'A', is given as follows;

[tex]A = \dfrac{3 \cdot \sqrt{3} }{2} \cdot s^2= \dfrac{1}{2} \cdot P \cdot a = 3\cdot s\cdot h[/tex]

Where;

a = The side length of the hexagon

P = The perimeter of the hexagon

h = The height of one of the triangles in the hexagon

However with the given dimensions, the area of the hexagon can be found by finding the sum of the areas of the triangles that make up the rectangle

A₁ = A₃ = A₄ = A₆ = (1/2) × 4.64 cm × 4 cm = 9.28 cm²

A₂ = A₅ = (1/2) × 5 cm × 4 cm = 10 cm₂

The area of the hexagon, A = A₁ + A₃+ A₄ + A₆ + A₂ + A₅ = 4 × A₁ + 2 × A₂

∴ A = 4 × 9.28 cm² + 2 × 10 cm² = 57.12 cm²

2 × (5×4/2 + 2×9.28/4×4) = 57.12 cm²

The area of the hexagon, A = 57.12 cm²

Find the value of x
I give you 10 points if you help

Answers

Step-by-step explanation:

x = 55

I hope this is helpful

Which of the following is a rational number

Answers

a. sqrt 36

bc it becomes 6

answer:

a. √36

step-by-step explanation:

a rational number is a number that is expressed as the ratio of two integers, where the denominator should not be equal to zero, whereas an irrational number cannot be expressed in the form of fractions

√36 = rational — the answer to this is 6 and it is a whole number

-√12 = -3.46410161514... — it is repeating without an order so irrational

5/0 = irrational — the denominator cannot be a 0

π = irrational — pi is always irrational

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