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
Answers
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
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.
Learn more about the exponential regression equation here:
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Related Questions
Please help this is for a project: The stimulus check is a one time $1,200 pay out and the unemployment check is $600 per week
for a maximum of 16 weeks. Make an equation that can be used to find y, the amount of money in your
account after x number of weeks of getting unemployment checks.
Can b an x be greater than 16? What is a mathematical way to show that?
Answers
y=600x+1200
x cannot be greater than 16 because the maximum amount of weeks is 16.
mathematical way: x is less than or equal to 16 (also there’s a picture to show what I mean)
What is 5.88 divided by -4
Answers
Answer:
-1.47
Step-by-step explanation:
5.88/-4= -1.47
Find the value of x. Help fast me need help
Answers
Answer:
(5x + 16) + 102 + 92 + 100 = 360
(5x + 16) + 294 = 360
-294 -294
5x + 16 = 66
-16 -16
5x = 50
Divide by 5 on both sides.
x = 10 degrees
A quadrilateral will always equal 360 degrees
A triangle will always equal 180 degrees.
Sorry I just needed help
Answers
You want to make five-letter codes that use the letters A, F, E, R, and without repeating any letter. What is the probability that a randomly chosen
code starts with Mand ends with E?
Answers
Answer:
Probability [chosen code starts with M and ends with E] = 0.05
Step-by-step explanation:
Given:
Total alphabet = A, F, E, R, and M
Creating name without repeat
Find:
Probability [chosen code starts with M and ends with E]
Computation:
Probability Name start with M = 1 / 5
Probability Name start with E = 1 / (5-1)
Probability Name start with E = 1 / 4
Probability [chosen code starts with M and ends with E] = Probability Name start with M x Probability Name start with E
Probability [chosen code starts with M and ends with E] = (1/5)(1/4)
Probability [chosen code starts with M and ends with E] = 1 / 20
Probability [chosen code starts with M and ends with E] = 0.05
Find c. Determine it from the choices below.
Answers
Answer:
12 centimetres
Step-by-step explanation:
I looked it up
Which of the following is (−5x + 4) − (3x2 − 7x + 4) simplified and written in standard form?
A. 3x2 − 12x + 8
B. 2x − 3x2
C. −3x2 + 7x − 5x
D. −3x2 + 2x
Answers
Answer:
D)
Step-by-step explanation:
-5x + 4 - 3x² + 7x - 4
-3x² + 2x
Answer:
(–5x + 4) – (3X²–7x + 4) = ( – 3x² + 2x )
Lorena purchased a fish tank in the shape of a cube with sides 18 inches in length. What is the distance between the opposite corners of the front of the tank?
Answers
Answer:[tex]31.17\ in[/tex]
Step-by-step explanation:
Given
Edge length of cube is [tex]a=18\ in.[/tex]
From the figure, distance between the opposite corner of the tank is
[tex]\Rightarrow (xy)^2+(xz)^2=(yz)^2\\\Rightarrow a^2+(a\sqrt{2})^2=(yz)^2\\\Rightarrow (yz)^2=3a^2\\\Rightarrow (yz)^2=3\times (18)^2\\\Rightarrow yz=18\sqrt{3}\\\Rightarrow yz=31.17\ in.[/tex]
Therefore, the length of the opposite corners is [tex]31.17\ in[/tex]
Can someone help me p
Answers
Answer:
(3.5, -2)
Step-by-step explanation:
that point is where the edge if the rectangle is
please help me with this one
Answers
Answer:
a: 500in squared
Step-by-step explanation:
A=(a+b)/2 x h.
19+31=50
50/2=25
25×20=500
please help ive been struggling for a hour i will give a lot of points if corrected
Answers
Answer:
EFG = 104°
GFH = 76°
Step-by-step explanation:
The sum of a linear pair is always equal to 180°
So lets solve for the variable n
2n + 32 + 4n + 16 = 180
6n + 48 = 180
6n = 132
n = 22
So now we know N
EFG = 4n + 16
EFG = 88 + 16
EFG = 104°
GFH = 2n + 32°
GFH = 44 + 32
GFH = 76°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
6. Roberta started the year with $125 in a savings account. She has been adding money at a rate of $15 per week. Write an equation in the form y = mx + b that represents the total amount of money (y) in the account after x weeks.
Answers
Answer:
y=15x+125
Step-by-step explanation:
Hope this helps!
HELPPP 21 POINTSS
MARKS BRAINLEST IF CORRECT
Answers
Answer:
3 or the 3rd one from the top
Step-by-step explanation:
Since after 8 minutes it wasn't cooked enough he put it in for more time. So that means the arrow should be pointing to more time. But the circle isn't filled in because it is more than 8 minutes.
I WILL GIVE BRAINLIEST!!!!!!
Starting at (0,0) if you were to go 5 units left and 6 units up what coordinates would you end up at? What quadrant would you be in?
Answers
Answer:
I think Quadrant 1. I;m not trying to just answer for the points
Step-by-step explanation:
List the next three numbers for the sequence:
34, 102, 408, 2040, ...
Answers
Answer:
12240
85680
685440
Step-by-step explanation:
We know that the sequence is growing rapidly
To see how rapidly divide the second term by the first term
102/34 =3
Check the third term divided by the second term
408/102 =4
Check the fourth term divided by the third term
2040/408=5
To get the second term, multiply by 3, to get the third term multiply by 4
to get the fourth term multiply by 5
to get the nth term multiply by (n+1)
The 5th term would be multiplied by 6
2040 *6 =12240
The 6th term by 7
12240*7=85680
The 7th term by 8
85680*8=685440
What is taxes? What is Texas' tax rate?
Answers
The Box-and-Whisker Plot represents the ages of 40 people who responded to a telephone survey.
Which statement is true about this data set?
A. About 50% of the respondents were at or between 40 and 67.5 years old.
B. The range of the data is 84 years.
C. The outlier is 28 years.
D. The mean is 51 years.
Answers
Answer:
'A' is true; theoretically, 50% of the data items reside between the first and third quartiles (40 and 67.5)
Step-by-step explanation:
Range is 84-28 which is 56
Median is 51
1.5 x Interquartile Range (IQR) = 1.5(67.5-40) which equals 41.25
Q1 is 40
Q1 - IQR = -1.25
Low outliers are below -1.25 - 41.25; there are not data items below -42
Answer:
'A' is true; theoretically, 50% of the data items reside between the first and third quartiles (40 and 67.5)
Step-by-step explanation:
Range is 84-28 which is 56
Median is 51
1.5 x Interquartile Range (IQR) = 1.5(67.5-40) which equals 41.25
Q1 is 40
Q1 - IQR = -1.25
Low outliers are below -1.25 - 41.25; there are not data items below -42
SOMEONE PLEASE HELP ME! I promise i will mark brainlest, but i need the right answer for this. help is much appreciated <3 which graph is an example of a function??
Answers
Answer:
The middle one because there is only 1 value of y for every value of x.
Mr. Carr is hiring a plumber to repair his sink. The cost of Plumber T is shown in the table.
A table titled Plumber T Costs is shown. It has three columns and two rows. Row one is labeled Hours, h. Row two is labeled Cost, c. One hour, one hundred twenty-eight dollars. Two hours, two hundred fifteen dollars. Three hours, three hundred two dollars.
Part A. What is the initial cost and hourly rate of Plumber T?
Part B. Write an equation to represent the function shown in the table.
Part C. Plumber W charges $95 per hour and an additional $32 for the parts needed. What is the difference in cost between Plumber W and Plumber T if the repair Mr. Carr needs takes 5 hours?
Enter the correct answers in the boxes.
A. Initial cost: $
Rate per hour: $
B. Equation:
C. Difference in cost: $
Answers
The hourly rate of plumber T is $87 per hour and have an initial cost of $41.
Linear equationLinear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial amount.
From the table, using points (1, 128) and (2, 215):
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-128=\frac{215-128}{2-1}(x-1)\\ \\y= 87x+41[/tex]
The hourly rate of plumber T is $87 per hour and have an initial cost of $41.
Find out more on Linear equation at: https://brainly.com/question/14323743
Answer:
Initial cost: $ 41
Rate per hour: $87
Equation: y=87x+41
Step-by-step explanation:
Sorry I do not know the difference in cost.
A question "I" made.
Answers
Answer:
41.67%
Step-by-step explanation:
:)
The Box and whisker plot below shows the number of points each member of the middle school basketball team made during the game on Saturday. What was the greatest number of points scored by a basketball player during the game on Saturday?
Answers
Answer: You are correct. The answer is C) 7
This is because the max is visually shown by the tip of the right whisker. This assumes there are no large outliers. If there were large outliers, then we'd have island points to the right of the boxplot.
2a + 3b = 5
b= a - 5
Answers
Answer:
I'm not sure but I thing the answer is 10
Step-by-step explanation:
Write a linear equation that intersects ytte points. Then willes second linear equation that intersecta y at just one point, and ther equation that does not intersecty Expten how you found the linear equations 40
Answers
Answer:
[tex](a)\ y = 2x +8[/tex]
[tex](b)\ y = 0[/tex]
[tex](c)\ y = -5[/tex]
Step-by-step explanation:
Given
[tex]y = x^2[/tex]
First, graph [tex]y = x^2[/tex] (See attachment)
We are not limited to any particular linear equation; as long as we meet the required condition
Solving (a): Equation of a line that intersects [tex]y = x^2[/tex] at two points
Select any two points on opposite sides of the curve
The selected points are:
[tex](x_1,y_1) = (-2,4)[/tex]
[tex](x_2,y_2) = (4,16)[/tex]
Calculate slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{16 - 4}{4 - -2}[/tex]
[tex]m = \frac{12}{6}[/tex]
[tex]m = 2[/tex]
The equation is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = 2(x - -2) + 4[/tex]
[tex]y = 2(x +2) + 4[/tex]
Open bracket
[tex]y = 2x +4 + 4[/tex]
[tex]y = 2x +8[/tex]
Solving (b): Equation of a line that intersects [tex]y = x^2[/tex] at one point
A good illustration of this is x-axis
Because it intersects with the line at just one point, which is origin (0,0).
The equation of line at this point is:
[tex]y = 0[/tex]
Solving (c): Equation of a line that does not intersect [tex]y = x^2[/tex]
Here, we make use of any horizontal line below the x-axis
Select any two horizontal points below the x-axis
[tex](x_1,y_1) = (-5,-5)[/tex]
[tex](x_2,y_2) = (5,-5)[/tex]
Calculate slope
[tex]m = \frac{-5--5}{5--5}[/tex]
[tex]m = \frac{0}{10}[/tex]
[tex]m = 0[/tex]
The equation is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = 0(x - -5) + (-5)[/tex]
[tex]y = 0-5[/tex]
[tex]y = -5[/tex]
during a sale, a shopkeeper reduced the prices of all his goods by 15 %. Calculate the normal selling price of microwave which was sold for Rs 3825 in the sale.
Answers
Answer:
Normal selling price is Rs 4500
Explanation:
1) Selling price = original price × (100-d) / 100
d = reduced price percentage
2) Rearrange the formula
original price = (selling price × 100) / (100 - d)
S.p = 3825
d= 15%
let original price = x
Therefore
x = (s.p×100) / (100-d)
x = (3825×100) ÷ (100-15)
x = 382500/85
x = 4500
consider the original price x
offer15% = 15x/100
Saling price = x - 15x/100
3825 = 85x/100
x = (3825×100)÷ 85 = 4500 rs
Answer the normal selling price of microwave which was sold for Rs 3825 in the sale is 4500 rs
The diameter of a cylindrical construction pipe is 4ft . If the pipe is 24ft long, what is its volume
Answers
Liam puts 40$ in savings in March and 175% of this amount in savings in April. How much does Liam put in savings in April?
Answers
Answer:
$70
Step-by-step explanation:
You want 175% of $40.
175% as a decimal = 1.75
1.75 times 40 = 70
Therefore Liam put $70 in savings in April
Answer:
70
Step-by-step explanation:
Multiply 40$ by 175% :)
Which one is the correct answer
Answers
Answer:
ans is 3x2 ln x is a option correct
If you know that the hypotenuse of a 30-60-90 triangle is 124 cm, explain how you find the lengths of the other two sides.
Answers
Answer:
Length of short side is 62 cm and length of long side is [tex]62\sqrt{3}[/tex] cm
Step-by-step explanation:
There's specific "rule" for 30-60-90 triangle
short leg will be x
long leg will be [tex]x\sqrt{3}[/tex]
hypotenuse will be 2x
So, when you know hypotenuse is 124 (2x)
To find short leg, you divide 124 by 2
short leg will be 62 (x)
To find long leg, you plug in the x (in this case it's 62)
long leg will be [tex]62\sqrt{3}[/tex]
What is the probability of a baseball player getting three hits in a row if his batting average is 17.9%?
0.57%
53.7%
6.0%
17.9%
Answers
Step-by-step explanation:
Here batting average is 17.9% = 0.179
In baseball, a batting average is the probability of the number of hits divided by the number of t... do the rest
Eight trials are simulated. The results are shown in the table.
Simulation
105 104 110 112
114 106 108 109
What is the estimated margin of error, using standard deviation?
Enter your answer, rounded to two decimal places, in the box.
± =
Answers
2.897
This should be you're anwser.