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 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

-4x+2=-13 solve for x

Answers

Answer:

x = 3.75

Step-by-step explanation:

-4x + 2 = -13

-4x = -13 - 2

-4x = -15

x = 3.75

Answer:

-13

Step-by-step explanation:

just think about it

Is the equation conditional, an identity, or a contradiction? y - 11 + 3y = 6y + 4

Answers

Answer:

The equation is a conditional.

y = 7.5

Step-by-step explanation:

y - 11 + 3y = 6y + 4

4y - 11 = 6y + 4

4y - 4y - 11 = 6y - 4y + 4

- 11 = 2y + 4

- 11 - 4 = 2y + 4 - 4

2y = - 15

2y ÷ 2 = - 15 ÷ 2

y = - 7.5

What is x times -3 ?

Answers

Answer:

-x3

Step-by-step explanation:

its simple x = 1

Answer:

-3x

Step-by-step explanation:

Find the value for the given variables. Give the variables in simplest radical form.

Answers

[tex] \huge\boxed{ \boxed{\mathrm{ \underline{Answer}࿐ }}}[/tex]

The given triangle is a right angled triangle,

so let's apply trigonometry here :

[tex] \sin(30) = \dfrac{7}{y} [/tex]

[tex] \dfrac{1}{2} = \dfrac{7}{y} [/tex]

[tex]y = 7 \times 2[/tex]

[tex]y = 14 \: \: units[/tex]

Now,

[tex] \cos(30) = \dfrac{x}{y} [/tex]

[tex] \dfrac{ \sqrt{3} }{2} = \dfrac{x}{14} [/tex]

[tex]x = \dfrac{14 \sqrt{3} }{2} [/tex]

[tex]x = 7 \sqrt{3} [/tex]

[tex]x = 12.12 \: \: units[/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

PLEASE HELP ME ILL MAKE BRAINLIEST HURRY

The table below shows a proportional relationship between the cost of movie tickets and number of tickets purchased.



What is the constant of proportionality?

A
5.5

B
9.5

C
8.5

D
17

Answers

Answer:

D.17

Step-by-step explanation:

The black graph is the graph of y=f(x). Choose the equation for the red graph

Answers

Answer:

a. y= f(x-1)

Step-by-step explanation:

___________

A power company calculates a person's monthly bill from the number of
kilowatt-hours (kWh), x, used.
The function b(x) = {
0.15%,
0.10 (20 – 400) + 60,
2 < 400
2 > 400
determines
the bill.
How much is the bill for a person who uses 600 kWh in a month?
O A. $80
B. $90
C. $100
O D. $110

Answers

Answer: (a)

Step-by-step explanation:

Given

The function [tex]b(x)[/tex] is given for the bill as per the kilo-watt hours used

for 600 kWh in a month, [tex]b(x)[/tex]  is

Substitute 600 for [tex]x[/tex]  in [tex]b(x)[/tex]

[tex]\Rightarrow 0.10(600-400)+60\\\Rightarrow 0.10(200)+60\\\Rightarrow 20+60\\\Rightarrow 80[/tex]

Therefore, the bill for a person is [tex]\$80[/tex]

Lincoln is throwing a pizza party. He has 77 pounds of cheese available and he needs
​1/2 pound of cheese to make each pizza. How many pizzas can he make? plss help asap (multiply ig)

Answers

Answer: 154

Step-by-step explanation: trust

b) 6a and 6b are having a competition to see who can make the most money for Red Crescent. 6a make $2 for every $3 that 6b make. If 6a makes $30 AED profit how much will 6b make?

Answers

Answer:

45

Step-by-step explanation:

6a 6b

2 / 3

30 / x

30×3  / 2

90/2

=45

Someone help me asap!! its 7:51 and my brain completely shut off.
(ill give brainliest and 50 points!!)

What is the coefficient of the variable in the expression 4 − 3x − 7 + 6?


A) -7
B) -3
C) 4
D) 6

Answers

Answer:

B) -3

Step-by-step explanation:

The coefficient is the numerical value placed before and multiplying the variable (x).

Answer:

-3

Step-by-step explanation:

that's answer

hope it helps

answer choices 72 76 86 65

Answers

j + h + g= 360
125+149+g=360
g=86
not sure if that’s what you’re looking for but hope that helps

Please give me a detailed step by step explanation of how to solve y ≥ 5.

Answers

It’s already solved
           ☼ Y can be anything ☼

                                   ♣ explanation ♣

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

It may seem crazy that the value of Y > 5 can be anything, but it can be. Y greater than 5 basically means that Y is any number over 5 and has no exact value.

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

Remember, Y is a variable!

PLEASE HELP!!
What is x? Show your work.

Answers

Answer:

Girl i dont know im so sorry

Step-by-step explanation:

good luck on ur assignment tho xoxo

Please give me answer find the odd option​

Answers

Answer:

should be the third (81,90)

Step-by-step explanation:

A pizza has a diameter of 24
in. What is the area of the
pizza with the given diameter?
Show your work

Answers

The answer is 452.39 because 24/2 =12 and the area is 12^2*3.14

Beatrice made 7 2/3 cups of lemonade for her lemonade stand. Later, she made 10 3/5 more cups of lemonade. How many cups of lemonade did she make in total?

A: 17 4/15
B: 17 5/8
C: 18 4/15
D: 5/8

Answers

Answer:

C: 18 4/15

Step-by-step explanation:

7 2/3 + 10 3/5

Convert fractions so that they share a common denoninator:

7 10/15 + 10 9/15

17 19/15

18 4/15

Area of square is
a 2(l+b)
b l+b
c l²
d l³​

Answers

[tex] \huge \huge \huge\square[/tex]

Here All Sides Are Equal So,

Area = side × side= side²

So Assuming Side As 'l'

so, l×l = l²

Option C= l²

Hope This Helps You ❤️
OPTION C Is the best one i see

Find the measure of the missing angle in the triangle below А B 100° 55° C​

Answers

Ermm 350 or 500 im sure

Find area of the composite figure

Answers

Answer:

517 sq. cm

Step-by-step explanation:

Area of the figure = area of triangle + area of semicircle

Area of semi circle = πr²/2

Area of semi circle = 3.14*15²/2

Area of semi circle = 353.25 sq.cm

Area of the triangle = a/2 * base * height

Base = 30cm

Height h² = 39² - 15²

h² = 1521 - 225

h² = 1296

h = 10.90cm

Area of triangle = 1/2 * 10.90 * 30

Area of triangle  = 15 * 10.90

Area of triangle = 163.5 sq. cm

Area of figure = 353.25 + 163.5

Area of figure = 516.75 sq. cm

Area of figure = 517 sq. cm

Create your own story problem ill give 100 points

Answers

Answer:

Step-by-step explanation:

Question 1 of 10
f(x) = x2. What is g(x)?
9(x)
(1.4)
f(x)
O A 962)-(3
O B. g(x) = (2x)
c. g(x) = 2x²
OD. (X) = (4x)

Answers

Answer:

[tex]B)~g(x)=(2x)^{2}[/tex]

Step-by-step explanation:

g(1)=(2(1))²

= 2²

=4

g(x)= (2x)²

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

hope it helps...

have a great day!!

If the given function is f(x)=x², the value of g(x) will be (2x)².

What is a function?

Each value in the domain is connected to exactly one value in the range according to the function, which is described as a specific form of relationship. They have a predetermined range and domain.

It is given that the coordinate values are (1.4).

For the given function,

g(1)=(2(1))²

g(1)= 2²

g(1)=4

Since g(x)= (2x)² satisfies the given coordinate values it will be the obtained result.


Thus the obtained function will be g(x)= (2x)².

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easy algebra question below first correct answer gets brainliest

Answers

The answer to your question is simply 1

1) If the perimeter of triangle STU is 125 cm, and segments TW, VW, and VT measure 21 cm, 30 cm, and 24 cm, respectively, what is the length of segment SU?​

Answers

GIVEN: The perimeter of triangle STU is  125.

The segments TW=21 cm

VW=30 cm

VT=24 cm

TO FIND: The length of the segment SU.

SOLUTION:

As corresponding sides must be same. so we have,

[tex]\frac{TV}{TS}=\frac{TW}{TU}\\\\ \frac{24}{TS}=\frac{21}{TU}\\\frac{TU}{TS}=\frac{7}{8}=k(say)\\[/tex]

Then, TU=7k and TS=8k

[tex]\frac{TV}{TS}=\frac{VW}{SU}\\\\ \frac{24}{TS}=\frac{30}{SU}\\\frac{24}{8k}=\frac{30}{SU}\\SU=10k[/tex]

As the perimeter of triangle STU is  125.

so,

8·k+7·k+10·k=125

⇒25.k=125

⇒k=5

Therefore, SU=10×5=50

Given the system of linear equations:
4x + 6y = 24
2x+y=8.
Which equations (select all) are a result from ADDING and/or SUBTRACTING the TWO
equations together?
6x + 7y = 32
2x + 6y = 16
2x + 5y = 16
63 - 6y = 32

Answers

6x+7y=32 and 2x+5y=16

if you add the two equations you get the first answer and if you subtract the two equations you get the second answer

When a child is born, her grandfather decides to put $100 in an account that earns interest. He plans to make no other deposits or withdrawals for 18 years. When the child turns 18 years old, the money in the account will be a birthday gift. The grandfather is choosing between two options:

Option 1: An account that grows by 10.5% each year.
Option 2: An account that grows by $20 each year.

Which option will result in a better 18th birthday gift? Explain your reasoning.

Answers

Answer:

option (1) is a better 18th Birthday gift of child by Grandfather.

Step-by-step explanation:

Amount deposited in bank at time of birth by Grandfather is $100.

And there is no other deposits and withdrawals for 18 years.

So,

                          Principal amount =$100

                                             Time = 18 years

              Rate of interest of bank = 10.5%

Option 1:- An account That grows by 10.5% each year

we know that Bank give compound interest on the deposit amount

then                   Compound interest = C.I=P(1+r) with an exponent of t

                                  C.I= 100(1 + 10.5 over 100)with an exponent of 18

                                  C.I= 100*6.0328

                                  C.I= $603.28

Option 2:- An account that grows by $20 each year

Here,

                   Amount credited in account for 18 years = $20

So,                Total amount after completion of 18 years = 10+18*20

                                                                                         =460

Hope this helped <3

The child turns 18 years old, and the money in the account will be a birthday gift is a better 18th Birthday gift for a child by a Grandfather.

The amount deposited in the bank at the time of birth by Grandfather is $100.

And there is no other deposits and withdrawals for 18 years.

Principal amount =$100

Time = 18 years

Rate of interest of bank = 10.5%

Option 1:- An account That grows by 10.5% each year

We know that Bank give compound interest on the deposit amount

What is the formula for compound interest?

Compound interest = C.I=P(1+r) with an exponent of t

C.I= 100(1 + 10.5 over 100)with an exponent of 18

C.I= 100*6.0328

C.I= $603.28

An account that grows by $20 each year

The amount credited in the account for 18 years = $20

The total amount after completion of 18 years = 10+18*20

 The total amount after completion of 18 years=460                                                                    

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Help me pls I’m giving brainlest plsss helpp

Answers

Wouldn’t the answer be 6.9? Because all of the other numbers are lower than 3. In this case, the number would need to be higher due to the fact that the x part is bigger than the 3?

can someone pls help

Answers

z = 13/9?? i don't really know hope i helped

Answer:

B) z = 1 4/9

Step-by-step explanation:

z - 7/9 = 2/3

z - 7/9 = 6/9

z (- 7/9 + 7/9) = 6/9 + 7/9

z = 13/9

z = 1 4/9

find the value of x round to the nearest tenth. 10 7 x

Answers

Answer:

Step-by-step explanation:

10.6= 11 when rounded

Trust me po hehe

Jennifer invested $400 at 6% interest compounded continuously. Write a model m(t) that represents the money in Jennifer's account in t years. A. B. How much money is in Jennifer's account after 5 years? Round to the nearest cent. C. Approximately when will Jennifer have $800 in her account? Round to the nearest tenth of a year.

Answers

Answer:

11.5 years

Step-by-step explanation:

Given data

Principal= $400

Rate= 6%

For the compound interest at time t, the expression is given as

A= P(1+r)^t

Substitute

A= 400(1+0.06)^t

A=400(1.06)^t

B. How much money is in Jennifer's account after 5 years

put t= 5

A=400(1.06)^5

A=400*1.338

A=$535.2

C. Approximately when will Jennifer have $800 in her account

A=$800

P=$400

r=6%

t= ln(A/P)/r

t= ln(800/400)/0.06

t= ln(2)/0.06

t= 0.6931/0.06

t=11.551

Hence the time is about 11.5 years

What is the value of r

Answers

Answer:The value of R at atm that is at standard atmospheric pressure is R = 8.3144598 J. mol-1. K-1.

Step-by-step explanation:i got this from someone

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