Students set up the experiment shown in their Biology class. After 24 hours, students noticed gas had accumulated in one of the inverted test tubes.
They measured the amount of gas.
What would be a best explanation for the gas accumulated in one of the inverted test tubes?

Answer:

Option B. f¯¹(x) = ³√(– x – 9)

Step-by-step explanation:

From the question given above:

f(x) = – x³ – 9

f¯¹(x) =?

We can obtain the inverse f¯¹(x) of the above equation by doing the following:

f(x) = – x³ – 9

Replace f(x) with y

y = – x³ – 9

Interchange x and y

x = – y³ – 9

Make y the subject . This is illustrated below:

x = – y³ – 9

Rearrange

x + 9 = – y³

Multiply through by –1

–(x + 9) = y³

y³ = – x – 9

Take the cube root of both side

y = ³√(– x – 9)

Replace y with f¯¹(x)

f¯¹(x) = ³√(– x – 9)

Thus, the inverse of the function

f(x) = – x³ – 9

is

f¯¹(x) = ³√(– x – 9)

Answer:

9 units

Step-by-step explanation:

(0,7)-(-2,-2)= (2,9)

distance = 9 units

Answer:

2.2

Step-by-step explanation:

(-2,-0)^2+(-2,-7)^2

(-2)^2+(-9)^2

4+81

85

9.2

Answer:

D) 3

Step-by-step explanation:

Using the graphing calculator, the roots of the polynomial equation are 3

They are functions that has a degree of 3 and above. Given the expression

x(x-2)(x+3) = 18

Expand

(x²-2x)(x+3) = 18
x³+3x²-2x² -6x-18 = 0
x³+x² -6x-18 = 0

Using the graphing calculator, the roots of the polynomial equation are 3

Learn more on factoring here: https://brainly.com/question/24734894

#SPJ2

Answer:x=7

Step-by-step explanation:

Steps down below. Remember that angles on a straight line add up to 180 degrees

Answer:

1. (1,7),(2.10),(3,5),(4,7),(5,9)

2. There were 5 students absent on day 3. I know because it shows on the graph.

3. Day 2 was the greastes number of studnets absent. There were 10 students absent that day.

4. The relation represented is a function becasue for each x-value there is only one y-value.

Step-by-step explanation:

Answer:

12, 24, 36, 48, 60, 72

Step-by-step explanation:

Answer:

ok its c daddy hope it helps dad

Step-by-step explanation:

Answer:

y = -20x + 300

Step-by-step explanation:

y is total amount of money left (because this is the answer we are trying to find.)

x is the amount of times she goes to the ATM (because this is our unknown variable.)

-20 multiplies by x because she loses $20 every time she goes to the ATM. The equation has + 300 because she already has $300 in her bank account.

Answer:

Option (1)

Step-by-step explanation:

Option (1)

[tex]3\frac{3}{9}+7\frac{6}{11}=10\frac{87}{99}[/tex]

[tex]3\frac{3}{9}+7\frac{6}{11}[/tex] [tex]=3+\frac{3}{9}+7+\frac{6}{11}[/tex]

             [tex]=(3+7)+(\frac{3}{9}+\frac{6}{11})[/tex]

             [tex]=10+(\frac{3}{9}\times \frac{11}{11})+(\frac{6}{11}\times \frac{9}{9})[/tex]

             [tex]=10+(\frac{33}{99}+\frac{54}{99})[/tex]

             [tex]=10+\frac{87}{99}[/tex]

             [tex]=10\frac{87}{99}[/tex]

True.

Option (2)

[tex]2\frac{3}{8}+6\frac{4}{5}=8\frac{12}{40}[/tex]

[tex]2\frac{3}{8}+6\frac{4}{5}=2+\frac{3}{8}+6+\frac{4}{5}[/tex]

             [tex]=(2+6)+(\frac{3}{8}+\frac{4}{5})[/tex]

             [tex]=(8)+(\frac{3}{8}\times \frac{5}{5} +\frac{4}{5}\times \frac{8}{8})[/tex]

             [tex]=8+(\frac{15}{40}+\frac{32}{40})[/tex]

             [tex]=8+\frac{47}{40}[/tex]

             [tex]=8+\frac{40}{40}+\frac{7}{40}[/tex]

             [tex]=8+1+\frac{7}{40}[/tex]

             [tex]=9+\frac{7}{40}[/tex]

             [tex]=9\frac{7}{40}[/tex]

False.

Option(3)

[tex]3\frac{3}{7}+4\frac{2}{3}=7\frac{2}{21}[/tex]

[tex]3\frac{3}{7}+4\frac{2}{3}=(3+\frac{3}{7})+(4+\frac{2}{3})[/tex]

             [tex]=(3+4)+(\frac{3}{7}+\frac{2}{3})[/tex]

             [tex]=7+(\frac{3}{7}\times \frac{3}{3} +\frac{2}{3}\times \frac{7}{7})[/tex]

             [tex]=7+(\frac{9}{21}+\frac{14}{21})[/tex]

             [tex]=7+(\frac{23}{21})[/tex]

             [tex]=7+(\frac{21}{21}+\frac{2}{21})[/tex]

             [tex]=8+\frac{1}{21}[/tex]

             [tex]=8\frac{1}{21}[/tex]

False.

Option (4)

[tex]4\frac{5}{6}+5\frac{5}{7}=9\frac{10}{13}[/tex]

[tex]4\frac{5}{6}+5\frac{5}{7}=4+\frac{5}{6}+5+\frac{5}{7}[/tex]

             [tex]=(4+5)+(\frac{5}{6}+\frac{5}{7})[/tex]

             [tex]=9+(\frac{5}{6}\times \frac{7}{7}+\frac{5}{7}\times \frac{6}{6})[/tex]

             [tex]=9+(\frac{35}{42}+\frac{30}{42})[/tex]

             [tex]=9+\frac{65}{42}[/tex]

             [tex]=9+(\frac{42}{42}+\frac{23}{42})[/tex]

             [tex]=9+1+\frac{23}{42}[/tex]

             [tex]=10\frac{23}{42}[/tex]

False.

Therefore, Option (1) is the answer.

Answer:

49^1/2 =7

Step-by-step explanation:

log49(7)=1/2

in exponential form

49^1/2 =7

Answer:

The answer to this problem would be A.

Step-by-step explanation:

For childcare facilities for each visit is $9, we would say 9x because we dont know the exact amount of time that she visits the gym with her child. Her monthly gym bill is $32 which would ve added to the amount she would pay for childcare. The sum of it all should be less than or equal to that of $122.

Answer:

A. 9x + 32 ≤ 122

Step-by-step explanation:

$32 is the fixed monthly due

$9 everytime she uses childcare

$122 is the maximum she wants to spend This month.

32 + 9x ≤ 122

Answer:

Simplification is a method for solving a system of equations

Step-by-step explanation:

-Graphing is a real way to solve a System of Equations

-Substitution is a real way to Solve Systems of Equations

-Elimination is a real way to solve Systems of Equations

so, Simplifcation can't be one

Take 2x-4y=6 and 4x+2y=17 for example.

They are both in standard form, so you could change them to y=mx+b and graph it. The intersection is the correct answer.

You can also solve one of the equations for y or x, and substitute that into the other equation, and solve for both x and y

or, you could add the two equations together and solve for x and y.

You can't simplify them.

Answer:

❤️❤️❤️❤️

Answer:

Step-by-step explanation:

0.76923076923

Answer:

112

Step-by-step explanation:

A foot is 12 inches so you do 12 times 9 and then plus the four already listed inches

Answer:

112 inches

Step-by-step explanation:

Answer:2)75% 3)36 ounces 4)667 5)90 problems 6)4680

Step-by-step explanation:

Think these r correct. 2) 24/32 then multiply by 100=75%. 3)90% of 40=36. 4)580 x 1.15 (multiplier) which equals 667. 5)81/90 is 90% so the denominator is all the problems. 6)65% of 7200 is 4680.

Answer:

3x + 9

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

(5x + 3) - (2x - 6)

Step 2: Simplify

Answer: 60 million per year

Step-by-step explanation:

The average rate of change in the number of public library visits from 1994 to 1999 will be calculated thus:

Average rate of change = change in number of vists in billions / number of years passed

= (1.6 billion - 1.3 billion) / 1999 - 1994

= 0.3 billion/5

= 60,000,000

= 60 million per year

Answer:

d=1.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

-11d+6=13d+22

-11d - 13d = 22 - 6

-24d = 16

Answer:

w=-30

Step-by-step explanation:

81(88w+82)=-207198

7128w+6642=-207198

7128w=-213840

w=-30

Answer:

agagasg

Step-by-step explanation:

Answer:

slope = 3

Step-by-step explanation:

Choose any two points: For example, (2, 4) and (4, 10)

Find the difference in y. This is called the "rise."

rise = 10 - 4 = 6

In the same order, find the difference in x. this is called the "run."

run = 4 - 2 = 2

slope = rise/run

slope = 6/2

slope = 3

Answer:

I just know something that answer is 156

Answer:

w = 10π

w ≈ 31.4159

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

4π = w - 6π

Step 2: Solve for w

Answer and Step-by-step explanation:

4[tex]\pi[/tex] = w -6[tex]\pi[/tex]

Add 6[tex]\pi[/tex] to both sides.

10[tex]\pi[/tex] = w

(10 pi equals variable w)

This is your answer.

#teamtrees #WAP (Water And Plant)

Answer:

1:35 pm

Step-by-step explanation:

Given that:

Chicago tour schedule :

Willis tower = 1 hour 10 minutes

Navy piers = 3 hours 10 minutes

Shopping = 1 hour 15 minutes

(1 hour 10 min) + (3 hour 10 minutes) + (1 hour 15 minutes)

Total touring time in Chicago = 4 hours 35 minutes

Dinner time is slated at 5:10 pm

Latest time to start tour :

5:10 pm - 4 hours 35 minutes = 1 :35 pm