There is a leak in a container that holds a certain nontoxic gas. Each hour, it loses 10% of its volume.
Write an equation that models the amount of gas left in the container after x hours, assuming there were 300 cubic centimeters in the container before the leak. Then use your equation to determine the amount of gas left in the container after 11 hours. Round your answer to the nearest tenth.

Answers

Answer 1

Answer:

94.1 cm^3 to nearest tenth.

Step-by-step explanation:

Each hour 100 - 10 = 90% of the gas remains.

90% = 0.90.

At 0 hours the volume = 300 cm^3

The equation is

Amount (V) after x hours = 300(0.90)^x.

The amount after 11 hours:

V = 300(0.90)^11

= 94.14

Answer 2

Answer:

y = 300(0.9)^x

94.1 cm³

Step-by-step explanation:

This is an exponential decay.

y = 300(0.9)^x

where x is the number of hours, and y is the amount after x hours.

y = 300(0.9)^11

y = 94.1


Related Questions

 Which of the following side lengths do not make up a right triangle?

A. 3,4,5
B. 5,12,13
C. 7,22,25
D. 8,15,17

Answers

2/22/55 does not make a right triangle

Answer:

C. 7,22,25

Step-by-step explanation:

A. 3,4,5

=> p² + b² = h²

=> 3²+4² = 5²

=> 9+16 = 25

=> 25 = 25

B. 5,12,13

=> 5² + 12² = 13²

=> 25 + 144 = 169

=> 169 = 169

C. 7,22,25

=> 7² + 22² = 25²

=> 49 + 484 = 625

=> 533 625

D. 8,15,17

=> 8² + 15² = 17²

=> 64 + 225 = 289

=> 289 = 289

so, the side that lengths do not make up right triangle is C. 7,22,25

1. Given: LMN ~ QPR, find RQ.

Answers

Answer:

C. 27

Step-by-step explanation:

If those two triangles are similar then look at how much one side is being increased to the other triangle. ML is similar to PQ and it increases by 1.5 to get there.

So find the side similar to RQ which is LN

1.5(x+7)=2x+5

1.5x+10.5=2x+5

5.5=0.5x

x=11

Then plug in 11 for x to find RQ which will be 27

Write the equation of a line in slope-intercept form that passes through the point (0,-7) and has a slope of 3/4.

Answers

Answer:

y=3/4x-7

Step-by-step explanation:

(0,-7) is the y-intercept

3/4 is the slope

y=mx+b

m is the slope

b is the y-intercept

plug it in:

y=3/4x-7

please mark brainliest!

Please help me solve ma

Answers

VW = 6

HOPE IT HELPS...!!!

So there is one triangle with two sides and the other one has one
XV/SU= VW/ST
u plug in the numbers
8/2=x/1.5
2x=12
X=12/2
X=6

help mah please I give dollar​

Answers

Answer:

45 + X

Step-by-step explanation:

i didnt read it correctly sorry

Solve the system of equations algebraically show all work.

Y=-x^2+8x+11

Y=5x-7

Answers

Answer:

ummmm..... let's see..

Step-by-step explanation:

using "Almighty formula"

{Y = –x +/– √b^2 – 4ac / 2a}

so we name all the values behind the coefficients which are; –1^2, 8 and 11

so let's assign a,b,c to these values:

a =–1, b =8, c = 11

all you just do now is to add these values to the formula

you should be having Y =1 +/– √8^2 – 4×–1×11

———————————

2×–1

Y =1 +108

———— or Y = 1–108

–2 –––––

–2

now add and divide to get Y.

(your answer will be two)

Bailey rolls a pair of dice 12 times, and the sum of 6 came up 5 times to calculate the experimental and theoretical probabilities of rolling a sum of six with a pair of dice

Answers

Answers:

Experimental probability =  5/12

Theoretical probability = 5/36

========================================================

Explanation:

The experimental probability, aka empirical probability, is what we observe to happen. The event of rolling a six happens 5 times out of 12 total rolls. That leads directly to the experimental probability of 5/12

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

The theoretical probability is based on predetermined odds, and can be done on paper rather than actually rolling the dice.

There are 6*6 = 36 ways to roll two dice. Of those 36 ways, we have these cases that add to 6

1+5 = 62+4 = 63+3 = 64+2 = 65+1 = 6

There are five ways to add to 6, out of 36 outcomes total.

This means the theoretical probability of getting a sum of 6 is 5/36

What equation is graphed in this figure?
y - 4 = -⅓(x+2)
y - 3 = ⅓ (x+1)
y + 2 = -3(x – 1)
y - 5 = 3(x - 1)​

Answers

to get the equation of any straight line, we simply need two points off of it, let's use those two points in the picture below.

[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{5}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{0}}}\implies \cfrac{3}{1}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_2=m(x-x_2) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_2}{5}=\stackrel{m}{3}(x-\stackrel{x_2}{1})[/tex]

keeping in mind that for the point-slope form, either point will do, in this case we used the second one, but the first one would have worked just the same.

P (-2, 4). 4 If P = (-2, 4), then find: 3 2 Ry=1 (P) y=1 1 2 3 4 5 -4 -3 -2 -1 0 -1 ([?], []) -2 -3 -4 Enter​

Answers

Answer:

  (-2, -2)

Step-by-step explanation:

A line of reflection is the perpendicular bisector of a point and its image. The given point is 3 units above the horizontal line of reflection. Its image will be 3 units below that line, at y = 1 -3 = -2.

The image coordinates are P'(-2, -2).

The surface area of a closed box is 2842 square meters. If the length is x m, the width is 6 M less than twice. The length and the height is 4 M more than the length. Calculate, the value of x

Answers

Hey I hope you have a good day

NO LINKS!!


Find the volume of each sphere, both in terms of p and to the

nearest tenth. Use 3. 14 for p.

r = 6. 12 cm

d = 54 in

Answers

Volumn of 1st Sphere =
4/3 x pi x r^3= 959.7 cm^3
In terms of pi = 305 pi cm^3

Volumn of 2nd sphere =
4/3 x pi x (1/2 diameter of 54)^3
4/3 x 3.14 x 27^3 = 82406.2 in^3
In terms of pi = 26244 pi in^3

HELP PLEASE EXPLAIN HOW TO EVALUATE

Answers

Answer:

165

Step-by-step explanation:

The symbol [tex]\sum[/tex]  is used to denote a sum of multiple terms.

The number below [tex]\sum[/tex] is the first term.

The number above [tex]\sum[/tex] is the last term.

Each term can be determined by using the given equation.

[tex]\begin{aligned}\displaystyle \sum_{n=3}^{8}5n & =5(3)+5(4)+5(5)+5(6)+5(7)+5(8)\\ & = 5(3+4+5+6+7+8)\\ & =5(33)\\ & = 165\end{aligned}[/tex]

n=[3,8]

So

[tex]\\ \rm\Rrightarrow \sum^8_{n=3}5n[/tex]

[tex]\\ \rm\Rrightarrow 5(3)+5(4)+5(5)+5(6)+5(7)+5(8)[/tex]

[tex]\\ \rm\Rrightarrow 15+20+25+30+35+40[/tex]

[tex]\\ \rm\Rrightarrow 165[/tex]

pls help me with this

Answers

try 4 vertices and 6 edges

Answer:

4 vertices6 edges

Step-by-step explanation:

A vertex is where three or more edges come together. All of the vertices are shown in the picture, so you can count them. There are 4 vertices.

An edge is where plane faces meet in a line. All of the edges except one are shown as solid lines in the figure. (The remaining edge is shown as a dashed line.) You can count them. There are 6 edges.

-6x+71= -4x-1 procedimiento

Answers

Answer:

[tex]-6x+71= -4x-1[/tex]

[tex]-6x+71-71=-4x-1-71[/tex]

[tex]-6x=-4x-72[/tex]

[tex]-6x+4x=-4x-72+4x[/tex]

[tex]-2x=-72[/tex]

[tex]\cfrac{-2x}{-2}=\cfrac{-72}{-2}[/tex]

[tex]x=36[/tex]

Hope it helps u!! ^-^

Hey ! Buddy .

As the question is in Spanish . So we have provided your answer in English as well as in Spanish language .

( ¡Oye! Amigo, la pregunta es en español. Así que hemos proporcionado su respuesta tanto en inglés como en español. )

Answer:

Value of x is 36 (El valor de x es 36)

Step-by-step explanation:

In this question we have given with an equation that is -6x + 71 = -4x - 1 . And have to find the value of x .

( En esta pregunta hemos dado con una ecuación que es -6x + 71 = -4x - 1 . y hay que encontrar el valor de x )

Solution : -

( Soluciones : - )

[tex] \quad : \implies - 6x + 71 = - 4 - 1[/tex]

Step 1 : Subtracting 71 on both sides :

( Paso 1 : Restando 71 en ambos lados: )

[tex]\quad : \implies - 6x + \cancel{71} - \cancel{71} = - 4x - 1 - 71[/tex]

On calculating further, We get :

( Al calcular más, obtenemos : )

[tex]\quad : \implies - 6x = - 4x - 72[/tex]

Step 2 : Adding 4x on both sides :

( Paso 2 : Sumando 4x en ambos lados: )

[tex]\quad : \implies - 6x + 4x = - \cancel{4x} + \cancel{4x } - 72[/tex]

On calculating further, We get :

( Al calcular más, obtenemos : )

[tex]\quad : \implies \cancel{-} 2x = \cancel{-}72[/tex]

Step 3 : Dividing by 2 on both sides :

( Paso 3 : Dividiendo por 2 en ambos lados: )

[tex]\quad : \implies \frac{ \cancel{2}x}{ \cancel{2} } = \cancel{\frac{72}{2} }[/tex]

On calculating further , We get :

( Al calcular más, obtenemos : )

[tex]\quad : \implies \: \green{ \boxed{ \frak{x = 36}}}[/tex]

Therefore , value of x is 36 . ( Por lo tanto , el valor de x es 36 . )

Verifying : -

( Comprobación :- )

We are verifying our answer by substituting value of x in given equation. So ,

( Estamos verificando nuestra respuesta al sustituir el valor de x en la ecuacióndada. Asi que, )

-6x + 71 = -4x - 1

-6 ( 36 ) + 71 = -4 ( 36 ) - 1

-216 + 71 = -144 - 1

-145 = -145

L.H.S = R.H.S (Lado izquierdo = Lado derecho )

Hence, Verified. ( Por lo tanto, Verificado. )

Therefore, our solution is correct.

( Por lo tanto, nuestra solución es correcta. )

#Keep Learning

A bakery sells mocha cupcakes and chocolate cupcakes. One day it sold 238 mocha and 42 chocolate. What percent of the cupcakes sold that day were mocha?

Answers

Answer:

35%

Step-by-step explanation:

The required percentage of the mocha cupcakes that were sold that day is 85%.

Given that,
A bakery sells mocha cupcakes and chocolate cupcakes. One day it sold 238 mochas and 42 chocolate. What percent of the cupcakes sold that day were mocha is to be determined.

What is the percentage?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
Number of mocha cupcakes = 238
Number of chocolate cupcakes = 42
Total cupcakes = 238 + 42 = 280
Percentage of mocha sold = 238/280 = 0.85 or 85%

Thus,  the required percentage of the mocha cupcakes that were sold that day is 85%.

Learn more about percentages here:

brainly.com/question/13450942

#SPJ5


Kim is installing blue
white tile in her bathroom. She
made a diagram of
the layout showing the area of both colors. Write two
expressions that describe the area of the blue tile.

Answers

Answer:

4/9, 44.4%

Step-by-step explanation:

16 tiles are blue out of 36

16/36 = 4/9

4 ÷ 9 × 100 = 44.4%

An ecologist wants to know what percent of the 10,000 fish in a lake are cod. She conducts a study in which 50 fish are randomly caught. Of those 50 fish, 15 are cod. Based on this data, using a 95% confidence interval, the researcher can determine that the percent of fish that are cod in the lake is which of the following?

(1) Between 17% and 43%
(2) Exactly 30%
(3) Between 24% and 36%
(4) Between 20% and 40%

Answers

Answer:

3

Step-by-step explanation:

Because there are about 3,000 fish in the lake, 3,000 is 30 percent of 10,000. C or (3) gives the 6 percent each way around 30.

What are the least and greatest fractors of 45? of 36? of 60?​

Answers

The GCF for 45,36,60 is 3

The LCM for 45,36,60 is 180

hope this helps

a circle has a center at point C (2,2) and a point on the circle is located at point P (5,4). What is the diameter of the circle?

Answers

The centre C of the given circlee = (2, 2) P(5, 4) is a point on the circle. Join P to C and extend it to meet the circle at the other extremity Q of the diameter. Now PQ is a diameter of the circle with C as its midpoint. The the coordinates of Q be (x, y) The coordinates of midpoint are (2, 2) = [ (x +5)/2, (y + 4)/2] =%3E (x + 5)/2 = 2; =%3E x = 4 — 5 = —1 =%3E (y + 4) = 2; =%3E y = 4 — 4 = 0 The extremities of the diameter are (—1, 0) and (5, 4). Diameter² = [5 —(—1)]² + [ 4 —0]² = 6² + 4² = 36 + 16 = 52 Diameter = 2√13 We could have easily found the radius from the centre and the given point on the circumference. The radius r² = (5 — 2)² + (4 — 2)² = 9 +4 = 13 Radius r = √13 And diameter = 2 r = 2 √13

Hope i helped

-lukelaws

A triangular prism is 13 meters long and has a triangular face with a base of 12.6 meters and a height of 16.6 meters. What is the volume of the triangular prism?

Answers

Answer:

1359.54m^3

Step-by-step explanation:

The formula for the volume of a triangular prism is:

1/2([tex]b \times l )\times h[/tex]

b= base

l = length

h= height

Step 1: Plug the numbers into the formula

1/2(12.6*13)*16.6

Step 2: Simplify

163.8*16.6

1359.54

Step 3: Add units

The units used in the question were in meters, so the answer is also in meters.

Volume is always cubed, so it would be to the third power...1359.54m^3

If this answer helped you, I would greatly appreciate if you gave me brainliest :D.

There were 136 students and 34 adults at a concert in the auditorium. They filled 85% of the seats in the auditorium. How many seats are there in the auditorium?

Answers

Answer:

there are 200 seats and 170 of them were filled

136+34=170

= 170 is 85% of ?

? = 200

two days of the year on which the noon sun is directly overhead at nearly 23.5 south or north December 21st and June 21

Answers

June 21st - summer solstice

December 21st - winter solstice

hope it helps...!!!

Consider the equation 3p – 7 p = 13. what is the resulting equation after the first step in the solution?

Answers

Answer:

-4p=13

Step-by-step explanation:

-3p-7p=13

-4p=13

p=-13/4

Find decimal form root23 and root24

Answers

Answer:

Below.

Step-by-step explanation:

√23 = 4.796

√24 = 4.899.

- both correct to the nearest thousandth,

The length of Ruben's rectangular living room is 9 meters and the distance between opposite
corners is 10 meters. What is the width of Ruben's living room. Use Pythagorean theorem.

Answers

P.Theorem says a^2 + b^2 = c^2
We know c^2 is 10, the diagonal length, and one leg we will call a^2 is 9
10^2 - 9^2 = b^2 (width)
Width is 4.36

CAN SOMEONE HELP PLEASE IM BEGGING YOU PLAS

Answers

Substitute each value and see the answers

pls help me im really stuck

Answers

Answer:

10:1:5

Step-by-step explanation:

Let's mark names as their first letter:

Amy=A

Bill=B

Cara=C

The ratio should be like this A:B:C

A=10*B

C=A/2 or A*1/2

If it is the simplest, then Bill have to score 1 point.

10*1=10 (Amy's score)

10/2=5 (Cara's score)

If it is Amy:Bill:Cara then the ratio of points score by them is 10:1:5

I hope that I helped :)

Jorge finds that 56% of his 75 classmates like salsa music and 80% of his 60 relatives like salsa music. How many more of Jorge’s relatives, as compared to his classmates, like salsa music?

Answers

Answer: 6

Step-by-step explanation:

Classmate: 56/100 × 75/1 =42

relative: 80/100 × 60/1 = 48

Difference is 6

What’s the distance between 240 and 0

Answers

Answer:

The distance between 240 and 0 is 240

Step-by-step explanation:

You can find the distance between two values by getting it's absolute value.

You can setup the equation like this:

| 0-240 |

When you solve the equation you will find the absolute distance between 240 and 0.

Use the method of elimination to solve the pair of simultaneous equation 2x+5y=4,2x-2y=18​

Answers

[tex]2x+5y= 4~~~...(i)\\\\2x-2y = 18~~~...(ii)\\\\(ii) -(i):\\\\~~~~~2x-2y -2x -5y= 18 -4\\\\\implies -7y = 14\\\\\implies y = -\dfrac{14}7\\\\\implies y= -2\\\\\text{Substitute}~ y=-2~ \text{ in eq (i):}\\\\~~~~~~2x+5(-2) = 4\\\\\implies 2x-10 = 4\\\\\implies 2x = 10+4\\\\\implies 2x =14\\\\\implies x = \dfrac{14}2\\\\\implies x =7\\\\\text{Hence}~ (x,y) =(7,-2).[/tex]

Answer:

              y = -2

              x = 7

Step-by-step explanation:

     Solving simultaneous equation

         2x + 5y = 4 ---------------(I)

         2x - 2y  = 18 -----------(II)

Now, multiply equation (II) by (-1) and then add the equations. So that, 'x' will be eliminated and we can find the value of 'y'

(I)              2x + 5y = 4

(II)*(-1)      -2x  + 2y = - 18 {Now add}

                         7y = -14

                           y = -14/7       {on dividing both sides by 7}

       [tex]\sf \boxed{y= -2}[/tex]

Now plugin y = -2 in equation (I)

        2x + 5*(-2) = 4

           2x - 10   = 4

                    2x = 4 + 10     {on adding 10 to both sides}

                    2x = 14

                       x = 14/2      {Divide both sides by 2}

         [tex]\sf \boxed{x = 7}[/tex]

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