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3 years ago

11

Melinda earns 5 minutes to play video games for every hour she spends on homework.

1 answer:

Marina86 [1]3 years ago

5 0

Answer:

She gets 15 minutes to play video games.

Step by step:

For every 1 hour = 5 minutes, so 1x3 = 3 hours, 5x3 = 15 minutes.

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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

4 years ago

Please help me with #1

Leto [7]

Answer:

C

Step-by-step explanation:

The right answer is C because in this case n is lesser or equal to 0.

3 0

3 years ago

HELP PLEASE<br> What is M CEA?

vovangra [49]

Answer:

C.H. Weaver M.D. updated 10/2020 What is the Carcinogenicity antigen (CEA)? CEA is an antigen (small protein) that is found on the surface of many types of cancer cells and high levels of CEA can be detected in the blood of some patients with cancer and the developing fetus.

Step-by-step explanation:

8 0

3 years ago

-5x + 5= -25<br><br> What is the solution to this equation?

Zanzabum

Step-by-step explanation:

$- 5x = - 25 - 5 \\ - 5x = - 30 \\ x = \frac{ - 30}{ - 5} \\ x = 6$

4 0

3 years ago

Read 2 more answers

a wildlife manager determines that the function y=200x1.07* represents the deer population at a state park x years after the pop

Kobotan [32]

Answer:

Table:

0,200

4, 262

8,344

12, 450

Population after 12 years is 450 deer

Initial population is 200 deer.

Step-by-step explanation:

You take the x in the table and plug it in as an exponent so you will need a calculator or multiple the 1.07 by that many times so 1.07 12 times multipled by itself. and the initial is 0 years so anything to the exponent of 0 is 1 so that show i got 200 for the x=0

8 0

3 years ago