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musickatia [10]
2 years ago
5

The volume of a gas in cubic centimeters v,varies inversely with the pressure of the gas in liters per square centimeters,p when

the volume of gas is 16cm3,it’s pressure is 20L/cm2.Find the volume of the gas when the pressure is 2.2L/cm2.
Mathematics
1 answer:
scoundrel [369]2 years ago
8 0

Answer:

The volume of the gas is 145.45\ cm^{3}

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form y*x=k or y=k/x

Let

v------> the volume of a gas in cubic centimeters

p-----> the pressure of the gas in liters per square centimeters

so

p*v=k

we have

v=16\ cm^{3}, p=20\ l/cm^{2}

substitute and solve for k

k=16*20=320

The equation is p*v=320

<em>Find  the volume of the gas when the pressure is 2.2 L/cm2</em>

so

For p=2.2\ l/cm^{2} Find the value of v

substitute in the equation

(2.2)*v=320

v=320/2.2=145.45\ cm^{3}

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A right triangle has side lengths a, b, and c as shown below.
Musya8 [376]

Answer:

\bold{\sin x = \frac{b}{c}}\bold{\\\cos x = \frac{a}{c}}\bold{\\\tan x = \frac{b}{a}}

Step-by-step explanation:

Given that

A right triangle has side lengths a, b, and c

Because you did not attached photo of the right triangle so I will assume that:

  • Side a is the adjacent (A)
  • Side b is the opposite (O)
  • Side c is the hypotenuse (H)

(Please have a look at the attached photo)

To solve for the trigonometric functions of x, we need to recall the ratios they represent as shown below.

\sin x = \frac{O}{H}\\\cos x = \frac{A}{H}\\\tan x = \frac{O}{A}

EX: the sine of x is equal to the side opposite of angle x over the hypotenuse. Hence, we have the expressions of the trigonometric functions as shown below:

\bold{\sin x = \frac{b}{c}}\bold{\\\cos x = \frac{a}{c}}\bold{\\\tan x = \frac{b}{a}}

Hope it will find you well

4 0
2 years ago
Mixed number as a decimal. 8 1/10
Anvisha [2.4K]

Answer: 8.1

Step-by-step explanation: How you convert a mixed number into a decimal is taking the whole number (not the fraction part) and putting it in front of the decimal, then you get the fraction's denominator to 10 multiply if needed, then you take the fractions top number and put it after the decimal, Now your converted!

If you need any further help or instruction let me know!

8 0
3 years ago
-4x^4 - 3x^3 - 29x^2 - 114 where x= -4
tatiyna

Answer: -1410

Step-by-step explanation:

Let's start by subbing in -4 for x

-4x^4 - 3x^3 - 29x^2 - 114\\-4(-4)^4-3(-4)^3-29(-4)^2-114

Now we can solve

-4(256)-3(-64)-29(16)-114\\-1024--192-464-114\\-832-464-114\\-1296-114\\-1410

5 0
3 years ago
Read 2 more answers
Evaluate the expression when a = 9, b = 2, c = - 6 and d= -4<br> a-b<br> c-d
Anna35 [415]

Answer:

1. 9-2=7

2. -6-(-4)=-2

Step-by-step explanation:

a=9

b=2

c=-6

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8 0
1 year ago
[6+4=10 points] Problem 2. Suppose that there are k people in a party with the following PMF: • k = 5 with probability 1 4 • k =
kirza4 [7]

Answer:

1). 0.903547

2). 0.275617

Step-by-step explanation:

It is given :

K people in a party with the following :

i). k = 5 with the probability of $\frac{1}{4}$

ii). k = 10 with the probability of $\frac{1}{4}$

iii). k = 10 with the probability $\frac{1}{2}$

So the probability of at least two person out of the 'n' born people in same month is  = 1 - P (none of the n born in the same month)

= 1 - P (choosing the n different months out of 365 days) = 1-\frac{_{n}^{12}\textrm{P}}{12^2}

1). Hence P(at least 2 born in the same month)=P(k=5 and at least 2 born in the same month)+P(k=10 and at least 2 born in the same month)+P(k=15 and at least 2 born in the same month)

= \frac{1}{4}\times (1-\frac{_{5}^{12}\textrm{P}}{12^5})+\frac{1}{4}\times (1-\frac{_{10}^{12}\textrm{P}}{12^{10}})+\frac{1}{2}\times (1-\frac{_{15}^{12}\textrm{P}}{12^{15}})

= 0.25 \times 0.618056 + 0.25 \times 0.996132 + 0.5 \times 1

= 0.903547

2).P( k = 10|at least 2 share their birthday in same month)

=P(k=10 and at least 2 born in the same month)/P(at least 2 share their birthday in same month)

= $0.25 \times \frac{0.996132}{0.903547}$

= 0.0.275617

6 0
3 years ago
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