1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Advocard [28]
3 years ago
7

15 point question

Mathematics
1 answer:
Advocard [28]3 years ago
6 0

Answer:

The new pressure P₂  is 3.3 atm

Step-by-step explanation:

Pressure of gas = 2.7 atm

Volume = 3.6 L

Temperature = 324 K

Now we are given that  volume of the gas is kept constant.

Temperature is increased to 396 K

We need to find the pressure.

The formula used is: \frac{P_1}{T_1}=\frac{P_2}{T_2}

We have P₁ = 2.7

T₁ = 324 K

T₂ = 396 K

P₂ = ?

Putting values in the formula and finding P₂

\frac{P_1}{T_1}=\frac{P_2}{T_2}\\\frac{2.7}{324}=\frac{P_2}{396}\\P_2=\frac{2.7}{324}\times 396\\P_2=0.0083 \times 396\\P_2=3.3

So, the new pressure P₂  is 3.3 atm

You might be interested in
A car bought for $13,000 depreciates at a rate of 15% per year. Use an exponential function to find the value of the car after 5
anygoal [31]

<em>Answer:</em>

<em>$ 11093 </em>

<em>Explanation:</em><em> </em>

<em>Recall that the formula for compound interest is: </em>

<em> </em><em>A = P ( 1 + r/ n ) n ( t )</em><em>  </em>

<em>−−−−−−−−−−−−−−−−−−−−−−  </em>

<em> where: </em>

<em>A </em><em> =  future value </em>

<em>P</em><em>  =  principal (starting) amount </em>

<em>r</em><em>  =  annual interest rate, expressed as a decimal </em>

<em>n</em><em>  =  number of times the interest is compounded in a year </em>

<em>t</em><em>  =  number of years compound interest occurs for </em>

<em> </em>

<em>1 .</em><em> Start by substituting your known values into the formula. Note that the annual interest rate is  − 0.15  since the car depreciates (becomes lower in value) each year. </em>

<em> </em>

<em>A = 25000 ( 1 + − 0.15 1 ) 1 ( 5 )</em><em>  </em>

<em />

<em>2 .</em><em> Solve for  A . </em>

<em> </em>

<em>A = 25000 ( 0.85 ) )5 </em>

<em> A = 11092.63</em><em> </em>

<em> ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ </em>

<em>A ≈ $ 11093 a    </em>

<em>−−−−−−−−−−−−−−−</em>

3 0
2 years ago
Read 2 more answers
A carpenter makes legs for 3-legged stools and 4-legged tables. He makes a total of 57 legs.
Viefleur [7K]
4 legged tables : x 3 legged stools : y x + y = 20 y= 20 - x 4x + 3y = 68 Replace y by 20 - x so we only have one letter 4x + 3(20 - x) =68 4x + 60 - 3x =68 x + 60 = 68 x = 8 To find y replace x by 8 y = 20 - 8 y = 12 So you have 8 four legged chairs and 12 three legged stools. Hope I helped!
6 0
3 years ago
Read 2 more answers
You earned $34,000 and your total tax due was $6,200. what was your average tax rate?
nexus9112 [7]
6200 / 34000 = 0.1823....multiply by 100 to get ur percent
0.1823 * 100 = 18.23 rounds to 18% <=
5 0
3 years ago
Simplify completely<br> -9x^3y^2(-13x^2y^5)
WINSTONCH [101]

Answer:

<h2>117 x ^5 y^ 7</h2>

Step-by-step explanation:

7 0
3 years ago
The volume of a rectangular prism with a length of x meters, a width of x − 1 meters, and a height of x + 11 meters is no more t
Rashid [163]

Answer:

Length of the rectangular prism = 4 meters

But other possible values = (-5meters or - 9 meters)

Step-by-step explanation:

The volume of a rectangular prism = Length × Width × Height

From the question above,

Length = x meters

Width = x - 1 meters

Height = x + 11 meters

Volume of the Rectangular prism = 180 cubic meters

Hence,

(x) × (x - 1) × (x + 11) = 180

We expand the brackets

(x)(x - 1) (x + 11) = 180

x² - x(x + 11) = 180

x² (x + 11) - x(x + 11) = 180

x³ + 11x² - x² + 11x =180

x³ +10x² - 11x = 180

x³ + 10x² - 11x -180 = 0

The above is a polynomial

We solve this polynomial to find x

x³ + 10x² - 11x -180 = 0

(x - 4)(x + 5) (x + 9) = 0

x - 4 = 0

x = 4

x + 5 = 0

x = -5

x + 9 = 0

x = -9

We are asked to find the various values for the length hence,

From the above question, we are told that

Length = x meters

Therefore, the length of this rectangular prism = 4 meters or -5 meters or -9 meters.

8 0
3 years ago
Read 2 more answers
Other questions:
  • A straight ramp rises from the ground at an angle of 25.5 degrees and has a base that is 30 feet long. How high is the ramp? Rou
    10·1 answer
  • 7-111. write the following number trick as an expression in two ways one with parentheses and one without.
    5·1 answer
  • What is the answer in multiple choice? Explain how you got it.
    14·2 answers
  • The least squares regression equation for the data in the table is
    10·1 answer
  • Question 2 help please
    5·1 answer
  • Helppppppppppppppppppppp
    9·1 answer
  • Round 607.5 to the nearest whole number.
    8·2 answers
  • A pet store holds training classes for dogs. The store has two different training programs. The first program charges a $35 memb
    9·2 answers
  • Marcie cooked dinner for herself. The original recipe has a serving size of 4 and requires four and four fifths pounds of chicke
    10·1 answer
  • Refer to the previous question.Approximately how much money would be in your account after the third year?(Assume that you do no
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!