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
Ksenya-84 [330]
3 years ago
8

The volume of a gas varies inversely as the pressure upon it. If the volume of the gas is 160 cubic centimeters at a pressure of

108 centimeters, find the volume when the pressure is 87 centimeters. Round decimal answers to the tenths' place.
Mathematics
1 answer:
erica [24]3 years ago
6 0

Answer:

The new volume is 198.62\ cm^3.        

Step-by-step explanation:

We are given with the volume of a gas varies inversely as the pressure upon it.

Initial volume is 160 cubic centimetres and initial pressure is 108 Pa. It is required to find the volume when the pressure is 87 centimetres.

According to given condition,

V\propto \dfrac{1}{P}

P_1V_1=P_2V_2

V_2 is new volume

V_2=\dfrac{P_1V_1}{P_1}\\\\V_2=\dfrac{160\times 108}{87}\\\\V_2=198.62\ cm^3

So, the new volume is 198.62\ cm^3.

You might be interested in
What is the sum of the first positive even numbers?
ioda

Answer:

Step-by-step explanation:

6

8 0
3 years ago
Exercise 3 Iron Man is checking out a new suit that fires lasers more accurately. If he is aiming for a bullseye, his original s
Novosadov [1.4K]

Answer: (a). insufficient evidence.

(b). sufficient evidence

(c). insufficient evidence

Step-by-step explanation:

we will analyse this carefully to help us understand it better.

we have the standard deviation for the original suit = 2mm

standard deviation for new suit = 1.6mm

given n = 1.6

from the question we know that  the  suit with less standard deviation is better than the other suit

considering a null hypothesis;

H₀ : б ≥ 2, (here the new suit is not better than the original alternative hypothesis).

Also Hi : б < 2 (we have here that the new suit is better than the original )

using the Chi-Square distribution with n-1 degree of freedom to test the claim about the value of the standard deviation;

X² = (n-1) s²/ б² = (16-1)(1.6)² / (2)² = 9.6

taking the P value of X² (9.6) for 15 D O F  from the P value table gives us

1-0.8441 = 0.1559

also ∝ = 0.05

where P-value > ∝ (0.05)

we can see from here that there is insufficient evidence to claim that new suit is better than that of the original suit, having failed to neglect H₀

(b). Given n = 100 and s = 1.6

then we have that X² = (n-1) s²/ б² = (100-1)(1.6)² / (2)² = 63.36

P-value of X² at 99 dif gives 0.0020

where ∝ = 0.05

since P value < ∝

rejecting the null hypothesis H₀,

we can safely say that there is sufficient claim that the new suit is better than the original at 95%.

(c). where we have that ∝ = 0.001

for part(b) P-values = 0.0020

given P-value > ∝ ;

we fail to neglect the null hypothesis.

From this we can say that the is insufficient evidence backing the claim thhat the new suit is better than the original suit at 99.99% confidence level.

cheers i hope this helps!!!!!

5 0
3 years ago
Scientists believe there is a link between ambient temperature and damage to a head gasket on a car. Using the provided informat
Alex
Is there picture cause I cant draw it but ik how to do scattered plots
4 0
3 years ago
Read 2 more answers
Find all the real square roots of -196.
Slav-nsk [51]
The answer is <span>-(3/4) and 3/4</span>
6 0
2 years ago
Complete the point slope equation of the line through (-5, 7) and (-4, 0).​
IgorLugansk [536]

For this case we have that by definition, the point-slope equation of a line is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

We have two points:

(x_ {1}, y_ {1}): (- 5,7)\\(x_ {2}, y_ {2}): (- 4,0)

We found the slope:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} =  \frac {0-7} {- 4 - (- 5)} = \frac {-7} {-4 + 5} = \frac {-7} {1} = - 7

Thus, the equation is of the form:

y = -7x + b

We substitute one of the points and find "b":

0 = -7 (-4) + b\\0 = 28 + b\\b = -28

Finally, the equation is:

y = -7x-28

Answer:

y = -7x-28

5 0
3 years ago
Other questions:
  • One angle of a triangle measures 136°. The other two angles are congruent. Enter and solve an equation to find the measure x of
    9·1 answer
  • Find the angle θ between the vectors. u = cos π 4 i + sin π 4 j v = cos π 2 i + sin π 2 j
    12·1 answer
  • Dustin is driving his car at speed of 50 kilometres per hour. he going to texas which is located 345 kilometres from his startin
    11·1 answer
  • What value is added to the both sides of the equation x^2-6x=10 in order to solve by completing the square?
    10·1 answer
  • Combing like terms -14+12+9z-16z =
    5·2 answers
  • If a wall is 4 cm long and I draw a wall 16 cm long what scale is it?
    9·1 answer
  • This goes with number 4
    12·1 answer
  • Drusilla replaces the light bulb in the hall closet every 9 months and replaces the air filter every 6 months will she replace b
    6·1 answer
  • Paul's bank account used to have $1,250 dollars in it. After saving and following a strict budget he manages to increase that am
    5·1 answer
  • Solve for the missing side length for the triangle below
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!