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3 years ago

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Please answer question number four thank you!

1 answer:

olga55 [171]3 years ago

6 0

26( w times w times w less than nvm its less than

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A large storage tank, open to the atmosphere at the top and filled with water, develops a small hole in its side at a point 10.4

vlabodo [156]

Answer:

Therefore the diameter of the hole is $1.94 \times 10^{-3}$ m.

Step-by-step explanation:

Bernoulli's equation,

$P_1+\frac12 \rho v^2_1+\rho g h_1= P_2+\frac12 \rho v^2_2+\rho g h_2$

P₁ = P₂= atmospheric presser

$\rho$ = density

$\frac12 \rho v^2_1+\rho g h_1= \frac12 \rho v^2_2+\rho g h_2$ [since P₁ = P₂]

$\Rightarrow\rho (\frac12 v^2_1+ g h_1)= \rho(\frac12 v^2_2+ g h_2)$

$\Rightarrow\frac12 v^2_1+ g h_1= \frac12 v^2_2+ g h_2$

$\Rightarrow\frac12 v^2_2-\frac12 v^2_1=g h_1- g h_2$

$\Rightarrow v^2_2- v^2_1=2g h$ [ $h_1-h_2=h$ ]

Here $v_1\approx 0$

$\Rightarrow v^2_2=2g h$

$\therefore v_2=\sqrt {2gh$

Here g= 9.8 m/s² , h = 10.4 m

The velocity of water that leaves from the hole $v_2$ = $\sqrt {2\times 9.8\times 10.4}$ m/s

=14.28 m/s.

Given, the rate of flow from the leak is $2.53\times 10^{-3}$ $m^3/min$

$=\frac{2.53\times 10^{-3}}{60}$ $m^3/s$

Let the diameter of the hole be d.

Then the cross section area of the hole is $=\pi (\frac d2)^2$

We know that,

The rate of flow = Cross section area × speed

$\Rightarrow \frac{2.53\times 10^{-3}}{60} =\pi (\frac d2)^2\times 14.28$

$\Rightarrow (\frac d2)^2=\frac{2.53\times 10^{-3}}{60\times 14.28\times \pi}$

$\Rightarrow d= 1.94 \times 10^{-3}$

Therefore the diameter of the hole is $1.94 \times 10^{-3}$ m.

4 0

3 years ago

2.Yolanda is buying supplies for school. She buys n packages of pels at $1.40 per package and m pads of paper at $1.20 each. Wha

Lubov Fominskaja [6]

Answer: 1.4n represents the cost of n packages of pels.

1.20m represents cost of m pads.

Entire expression 1.4n + 1.20m represents total cost of n packages of pels and m pads.

Meaning of 1.4n = cost of n packages of pels.

Meaning of 1.20 m = represents cost of m pads.

where , 1.4 = Cost per package of pels

1.2 =Cost per pad of paper

Step-by-step explanation:

Given: Cost per package of pels = $1.40

Cost per pad of paper = $1.20

Number of packages of pels bought = n

Number of pads of paper bought = m

So, 1.4n represents the cost of n packages of pels.

1.20m represents cost of m pads.

Entire expression 1.4n + 1.20m represents total cost of n packages of pels and m pads.

Meaning of 1.4n = cost of n packages of pels.

Meaning of 1.20 m = represents cost of m pads.

where , 1.4 = Cost per package of pels

1.2 =Cost per pad of paper

7 0

3 years ago

Can someone translate these into equations?!?!

Mila [183]

_ ÷ 7=9

_ - 12=0

25 ÷ 3=y

1/5×r=15

(2 × y) - 6 =34

5 0

4 years ago

Read 2 more answers

What is 4910000 in scientific notation

n200080 [17]

4.9*10 x^{6}
i hope i helped!

5 0

3 years ago

Read 2 more answers

Please answer fast!!!!!

BlackZzzverrR [31]

Answer:

x = 2

Step-by-step explanation:

note that 4096 = $8^{4}$ , then

$8^{2x}$ = $8^{4}$

Since bases on both sides are equal, both 8 , then equate the exponents

2x = 4 ( divide both sides by 2 )

x = 2

6 0

3 years ago

Read 2 more answers