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Readme [11.4K]
3 years ago
10

-3x-7 ≤11 solve, please

Mathematics
1 answer:
Rom4ik [11]3 years ago
7 0

Answer:

x ≥ -6

Step-by-step explanation:

-3x-7 ≤ 11

-3x-7+7 ≤ 11+7

-3x ≤ 18

(-3x)(1) ≤ 18(-1)

3x ≤ -183x/3 ≤ -18/3

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Plzzzzzzzzzzzzz neeed help nowww2wwwwwwwww
DENIUS [597]

Answer:

B. $43.59

Step-by-step explanation:

39.99 x 1.09= 43.59

7 0
3 years ago
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
Match the terms to their correct definitions.
butalik [34]

Lets try to figuring out the definition of it.

1. Planning for the distribution of one's estate after death is Estate planning.

2. Trust: an estate, or other property or money, given to a person or institution to manage.

3. Compound interest: figured on the amount of money in the savings account plus the amount of interest already earned.

4. Dividend: a share of money earned as profits by a company and distributed to its stockholders.

5. Checking account: account allows you to write an instruction to the bank, as a check, to make a payment from that account.

6. Will a legal document that describes how your estate should be distributed upon.

8. Purchasing a bond is like loaning money to the company for interest.

9. Club accounts: accounts are set up to save for specific purchases.

11. Mutual fund: instrument in which you purchase a part of a collection of investments.

12. A debit card can be used like a credit card, but money is deducted directly from bank account.

13. Automatic Teller Machine: permits the customer to make transactions by using a special computer terminal.

14. Adjusted balance: balance after adding the outstanding deposits and subtracts the outstanding checks to the balance on the statement.

15. Certificate of deposit (CD) is a sum on deposit usually for a given period of time at a fixed interest rate.

18. A trust created while a person is still alive is called a Living Trust.

19. Intestate: without a will.

20. Interest is the fee a bank pays you to keep your money.

Learn more about compound interest on:

brainly.com/question/18456266

#SPJ10

8 0
3 years ago
Using the Addition Method, solve for x in the following system of linear equations.
NNADVOKAT [17]

Answer:

c. x=8

Step-by-step explanation:

make me a brain list.

6 0
3 years ago
The perimeter of a rectangular plot is 36 metres. The length is 6 metres more than the width. What is the area of the rectangula
Dmitry_Shevchenko [17]

Answer:

72 m^2

Step-by-step explanation:

Perimeter = 36

Length + width = 18

w + w + 6 = 18

2w + 6 = 18

2w = 12

w = 6

Length + 6 = 18

Length = 12

Area = 6 * 12 = 72 m^2

8 0
3 years ago
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