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3 years ago

Solve the equation 2/3(9+x)=−5(4−x).

Mathematics

2 answers:

mojhsa [17]3 years ago

7 0

The answer should be x=6

Lemur [1.5K]3 years ago

4 0

Answer:

the answer is x=6

Step-by-step explanation:

hoped I helped

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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

Determine whether PQ and UV are parallel,

lys-0071 [83]

Answer:

The answer is below

Step-by-step explanation:

The slope of a line (m) is given by:

$m=\frac{y_2-y_1}{x_2-x_1}$

Two lines are parallel if they have the same slope and perpendicular if the product of their slope is -1.

$Slope\ of\ PQ=\frac{1-(-2)}{9-(-3)}=\frac{1}{4} \\\\Slope\ of\ UV=\frac{-2-6}{5-3}=-4$

Since the product of their slope is -1, they are perpendicular

$Slope\ of\ PQ=\frac{1-7}{2-(-10)}=-\frac{1}{2} \\\\Slope\ of\ UV=\frac{1-0}{6-4}=\frac{1}{2}$

Since the slope is not the same or product of their slope is not -1, they are neither parallel or perpendicular

$Slope\ of\ PQ=\frac{8-1}{9-1}=\frac{7}{8} \\\\Slope\ of\ UV=\frac{8-1}{2-(-6)}=\frac{7}{8}$

Since the slopes are the same, they are parallel

$Slope\ of\ PQ=\frac{3-0}{9-(-4)}=\frac{3}{4} \\\\Slope\ of\ UV=\frac{6-(-3)}{8-(-4)}=\frac{3}{4}$

Since the slopes are the same, they are parallel

$Slope\ of\ PQ=\frac{1-2}{0-(-9)}=-\frac{1}{9} \\\\Slope\ of\ UV=\frac{-1-8}{-2-(-1)}=9$

Since the product of their slope is -1, they are perpendicular

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3 years ago

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Which expression is equivalent to rm ÷ rn??

Ilya [14]

I have worked that on paper

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4 years ago

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Is 6,11,17,... geometric in sequences

mojhsa [17]

No, they do not have a pattern nor do they flow to get her the difference between 6 and 11 is 5, whereas the difference between 11 and 17 is 6.

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3 years ago

Find the surface area of the prism

Marrrta [24]

Answer:

the answer is 29

Step-by-step explanation:

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3 years ago