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barxatty [35]
3 years ago
13

An 14-meter-tall cylindrical tank with a 2-meter radius holds water and is half full. Find the work (in mega-joules) needed to p

ump all of the water to the top of the tank. (The mass density of water is 1000 kg/m3. Let g = 9.8 m/s2. Round your answer to two decimal places.)
Mathematics
1 answer:
agasfer [191]3 years ago
3 0

Answer:

to two decimal places

= 6.04 mega joules

Step-by-step explanation:

The volume of the half tank

= πr²h

r= 2 m

h= 14/2= 7 m

Volume= 22/7 *2² *7

Volume= 88 m³

work (in mega-joules) needed to pump all of the water to the top of the tank

= Volume*mass density *acceleration*distance

= 88*1000*9.8*7

= 6036800 joules

In mega joules

= 6.036800 mega Joules

to two decimal places

= 6.04 mega joules

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Jared has a wooden board that is 11 ft long. He wants to cut it into 2 pieces so that the longer piece is 4 ft less than 4 times
Kaylis [27]
X+y=11

x is longer than y
x>y
x is 4 less than 4 times y
x=-4+4y

sub back
x+y=11
-4+4y+y=11
-4+5y=11
add 4 to both sides
5y=15
divide both sides by 5
y=3

sub back
x=-4+4y
x=-4+4(3)
x=-4+12
x=8

the pieces are 8ft and 3ft
4 0
3 years ago
the speed of light is 1.86×10^5 miles per second.how many miles will light travel in 4,200,000 seconds?
stiks02 [169]

Answer: 7.812*10^{11}\ miles

Step-by-step explanation:

Let be "x" the amount of miles light will travel in 4,200,000 seconds.

Rewrite 4,200,000 seconds in Scientific notation. Move the decimal point 6 places to the left. Then:

4,200,000\ seconds=4.2*10^6\ seconds

According to the exercise, light travels 1.86*10^5 miles in 1 second.

Therefore, based on this data, you can set up the following proportion:

\frac{1.86*10^5\ miles}{1\ second}=\frac{x}{4.2*10^6\ seconds}

And finally, you must solve for "x" in order to find its value.

(Remember the Product of powers property: a^m*a^n=a^{mn})

Then:

(4.2*10^6\ seconds)(\frac{1.86*10^5\ miles}{1\ second})=x\\\\x=7.812*10^{11}\ miles

7 0
2 years ago
Wayne's gym locker is a rectangular prism with a width and height of 12
Gnom [1K]

Answer:

Volume = (2890 and 5/8) inches^3

Step-by-step explanation:

Height = 12 and 1/2inches = 25/2

Width = 12 and 1/2inches = 25/2

Length = 6 inches > width = 6 + width

= 6 + (12 and 1/2) = 18 and 1/2

Length = 18 and 1/2 inches = 37/2

Volume of prism = length × breadth × height

Volume of rectangular prism = (25/2)×(25/2)×(37/2)

Volume of rectangular prism = (23125/8) inches^3

Volume of rectangular prism = (2890 and 5/8) inches^3

7 0
3 years ago
Can you help me with this please?
spayn [35]

The half-life of the given exponential function is of 346.57 years.

<h3>What is the half-life of an exponential function?</h3>

It is the value of t when A(t) = 0.5A(0).

In this problem, the equation is:

A(t) = A(0)e^{-0.002t}.

In which t is measured in years.

Hence the half-life is found as follows:

0.5A(0) = A(0)e^{-0.002t}

e^{-0.002t} = 0.5

\ln{e^{-0.002t}} = \ln{0.5}

0.002t = -\ln{0.5}

t = -\frac{\ln{0.5}}{0.002}

t = 346.57 years.

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

7 0
1 year ago
Please help me if you can. It would be amazing
Serhud [2]
Your answer is A, since point A is 5 units away from the y-axis.
7 0
3 years ago
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