Complete the function table then write a rule for a function

Air containing 0.04% carbon dioxide is pumped into a room whose volume is 6000 ft3. The air is pumped in at a rate of 2000 ft3/m

borishaifa [10]

Answer:

the concentration at 10 minutes= 0.4+0.0133= 0.4133%

Step-by-step explanation:

Air containing 0.04% carbon dioxide

V, volume of room is 6000 ft3.

Q, rate of air 2000 ft3/min,

initial concentration of 0.4% carbon dioxide,

determine the subsequent amount in the room at any time.

What is the concentration at 10 minutes?

firstly, we find the time taken for air to completely filled the room

Q = V/t

t = V/Q = 6000/2000 = 3min

so, its take 3mins for air to be completely filled in the room and for exhaust air to move out.

there is an initial concentration of 0.4% carbon dioxide, and the air pump in is 0.04%.

therefore,

3mins = 0.04% of CO2

3*60 =180sec = 0.04%

1sec = 0.04/180 = 0.00022%/sec

so at any time the concentration of CO2 is 0.4 + 0.00022 =0.40022%/sec

What is the concentration at 10 minute

the concentration at 10minutes = the concentration for 1minute because at every minutes, the concentration moves in is moves out. = concentration for 2000ft3.

for 0.04% = 6000ft3

? = 2000ft3

= 2000* 0.04)/6000 =0.0133%

the concentration at 10 minutes= 0.4+0.0133= 0.4133%

4 0

3 years ago

Five over seven plus blank over six equals fifty one over forty two

NISA [10]

Answer:

The blank is 3

Step-by-step explanation:

1 - Give the blank a variable

x = our blank

2 - Write it out

$\frac{5}{7} + \frac{x}{6} = \frac{51}{42}$

3 - Get the denominators equal

$\frac{5}{7}(\frac{6}{6}) +\frac{x}{6}(\frac{7}{7}) = \frac{51}{42} \\\frac{30}{42}+\frac{7x}{42} = \frac{51}{42}$

4 - Simplify

$\frac{30+7x}{42} = \frac{51}{42} \\ \frac{30+7x}{42} = \frac{51}{42}$

5 - Solve for the numerators

30+7x = 51

-30 -30

7x = 21

x = 3

6 0

3 years ago

NEED HELP ASAP

antoniya [11.8K]

answer= x=20

Step-by-step explanation:

We have, 35% × x = 7

or,

35

100

× x = 7

Multiplying both sides by 100 and dividing both sides by 35,

we have x = 7 ×

100

35

x = 20

If you are using a calculator, simply enter 7×100÷35, which will give you the answer.

5 0

2 years ago

Read 2 more answers

Which of the following data is used to determine credit scores? A. who stays with you at your current residence B. the location

miskamm [114]

Answer:

The correct option is the length of stay at your current residence.

Step-by-step explanation:

We have been asked that which data is used to determine credit scores.

The correct option is the length of stay at your current residence.

This question is used to determine credit scores. This helps the lender to look up information about your history of payments. When a lender asks this question they are able to determine how long you typically stay in one place, and look up bills at that residence to make sure they are paid on time before giving out a loan. They can also use this information to determine a credit score based on what is being paid on time, late or not at all...

5 0

3 years ago

35% is 7 out of what number?

o-na [289]

Answer:

The number is <u>20</u>.

Step-by-step explanation:

In this question, it is said that 35% of a number is equal to 7, then what is that number?

So, let the number be <em>x</em>.

Now, according to the question :

$\begin{gathered} \begin{array}{l} \quad{\dashrightarrow{\sf{35 \% \: of \: x = 7}}}\\\\\quad{\dashrightarrow{\sf{\dfrac{35}{100} \: of \: x = 7}}}\\\\\quad{\dashrightarrow{\sf{\dfrac{35}{100} \times x = 7}}}\\\\\quad{\dashrightarrow{\sf{\dfrac{35 \times x}{100} = 7}}}\\\\\quad{\dashrightarrow{\sf{\dfrac{35x}{100} = 7}}}\\\\\quad{\dashrightarrow{\sf{x = 7 \times \dfrac{100}{35}}}}\\\\\quad{\dashrightarrow{\sf{x =\dfrac{700}{35}}}}\\\\ \quad{\dashrightarrow{\sf{x = \cancel{\dfrac{700}{35}}}}}\\\\ \quad{\dashrightarrow{\sf{x =20}}}\\\\ \quad{\star{\underline{\boxed{\tt{\red{x =20}}}}}} \end{array}\end{gathered}$

Hence, the number is 20.

$\rule{300}{2.5}$

3 0

2 years ago

Read 2 more answers