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lidiya [134]
3 years ago
7

A gasoline tanker is filled with gasoline which weighs 45.93 lb/ft3. The dispensing valve at the base is jammed shut, forcing th

e operator to empty the tank via pumping the gas to a point 1 ft above the top of the tank. Assume the tank is a perfect cylinder, 20 ft long with a diameter of 7.5 ft. Set up the integral(s) that would allow you to find how much work is performed in pumping all the gasoline from the tank?
Mathematics
1 answer:
boyakko [2]3 years ago
4 0

Answer:

The appropriate answer will be "Y = 157.09 N/m³".

Step-by-step explanation:

The given values are:

Diameter

= 7.5 ft

= 0.3048 meter

Height

= 20ft

= 6.096

Weight density

= 45.93 lb/ft³

= 16.0184634 kg/m³

Acceleration

= 9.807 m/s2

As we know,

The specified density of weight can be expressed as:

⇒  Specific weight = density × acceleration

i.e.,

⇒  Y=\rho g

On substituting the estimated values in the above expression, we get

⇒      = 16.0184634\times 9.807

⇒      =157.09 \ N/m^3

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Pete is choosing his clothes for the day. His bottoms will be either cargo shorts(C) or jeans (J). His top will be T shirt (T),
Sauron [17]

The question is incomplete. Here is the complete question.

Pete is choosing his clothes for the day. His bottoms will be either cago shorts (C) or jeans (J). His top will be T-shirt (T), sweatshirt (S) or long sleeved shirt (L).

Which is a complete list of the possilbe outfits he can choose from?

CT, CS, CL, JT, JS, JL

CJ, CT, CS, CL

CJT, CJS, CJL

CT, TC, JS, SJ, CL, LC

Answer: CT, CS, CL, JT, JS, JL

Step-by-step explanation: The <u>Fundamental</u> <u>Counting</u> <u>Principle</u> is a method of determining a number of ways independents events can occur, i.e., it states that if there are t ways of doing something and w ways of doing another, then there are t x w ways of doing both things.

For example:

Peter has 2 choices of bottom and 3 choices of top. So, according to the principle, he will have 2 x 3 choices of clothing.

And the choices are:

shorts and t-shirt = CT

shorts and sweatshirt = CS

shorts and long sleeved = CL

jeans and T-short = JT

jeans and sweatshirt = JS

jeans and long sleeved = JL

The order he chooses doesn't matter.

So, the right alternative is CT, CS, CL, JT, JS, JL.

7 0
2 years ago
Omg please answer i am so lost
Soloha48 [4]
A

Because X isn’t repeated in W but there are repeats in the others.
5 0
3 years ago
The water tank in the diagram is in the shape of an inverted right circular cone. The radius of its base is 16 feet, and its hei
Angelina_Jolie [31]

Answer:

6433.98 ft

Step-by-step explanation:

In order to find what 25% of the tank's capacity is, we know to know the full capacity of the tank then take 25% of that.  The volume formula for a right circular cone is

V=\frac{1}{3}\pi r^2h

We have all the values we need for that:

V=\frac{1}{3}\pi (16)^2(96)

This gives us a volume of 25735.93 cubic feet total.

25% of that:

.25 × 25735.93 = 6433.98 ft

4 0
3 years ago
Read 2 more answers
How much pure acid is in 780 milliliters of a 12​% ​solution?
GarryVolchara [31]

Answer:

93.6 ml

Step-by-step explanation:

12% of that 780 ml is pure acid:  0.12(780 ml) = 93.6 ml

7 0
3 years ago
Help! I really need to pass!
Dmitriy789 [7]

Answer:

\huge{ \boxed{ \bold{ \sf{y =  - 2x + 6}}}}

☥ \tt{Question} :

  • Write the equation of a line in slope - intercept form that has a slope of -2 and passes through the point ( - 1 , 8 ).

☥ \tt{Step  -  \: by \:  -  \: step \: explanation}

☪ \underline{ \underline{ \text{Given : }}}

  • Slope ( m ) = -2
  • Given point = ( - 1 , 8 )

☪ \underline {\underline{ \text{To \: find}}} :

  • Equation of a line in slope - intercept form ( i.e y = mx + c )

Let the point ( -1 , 8 ) be ( x₁ , y₁ )

☪ \underline{ \underline{ \text{Solution}}} :

\underline{ \sf{y - y1 = m(x - x1)}}

plug the known values :

↦ \text{y - 8 =  - 2 \{ x - ( - 1) \} }

↦ \text{y - 8 =  - 2(x + 1)}

Distribute -2 through the parentheses :

↦ \text{y - 8 =  - 2x - 2}

Transpose 8 to right hand side and change it's sign

↦ \text{y =  - 2x - 2 + 8}

↦ \boxed{ \text{y =  - 2x + 6}}

And we're done !

Hope I helped!

♡ Have a wonderful day / night ツ

~TheAnimeGirl ♪

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4 0
3 years ago
Read 2 more answers
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