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11Alexandr11 [23.1K]
4 years ago
5

35PTS Which expression is equivalent to

Mathematics
1 answer:
algol134 years ago
7 0

( a^6 b^ -3) ^ (1/3)

split them apart

( a^6) ^ (1/3) (b^ -3) ^ (1/3)

power to a power is multiply

a^ (6*1/3)  b^(-3*1/3)

a^2 b^-1

a^2/b

Choice D

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Boat takes 3 hours to go 6 miles upstream. it can go 18 miles downstream in the same time. find the rate of the current and the
svet-max [94.6K]
Find the MPH of the boat when it goes upstream... 3h / 6m = 1h / 2m
So, 2mph
Speed of the boat - current = 2mph - > x - y = 2
Find the MPH of the boat going downstream... 3h / 18m = 1h / 6m
So, 6mph
x + y = 6
We now have a system of equation, let's solve it!

x - y = 2 -> x = y + 2
x + y = 6  - >  (y + 2) + y = 6  ->  2y + 2 = 6   ->   2y = 4    ->   y = 2
This is the speed of the current!
Subtitute y = 2 in the first equation:
x - 2 = 2
x = 4
This is the speed of the boat
Rate of the current = 2mph
Rate of the boat in still water = 4mph

5 0
3 years ago
Allyson and Abby were throwing the football. Allyson threw it 38 feet and Abby threw it 46 feet. How many YARDS did they throw i
viva [34]

Answer:

28 yards

Step-by-step explanation:

38+46=84

1 yard = 3 feet

1/3=x/84

84/3=24

5 0
3 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.

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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
There are 935 students at stoneville high school. at the school, 27 seniors are in the band, and there are 215 students in the b
jasenka [17]
Theres a 1.88 percent chance
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3 years ago
In the figure shown, lines 1 and 2 are parallel. The sum of the measures of angles 4 and 5 is 150°. What is the measure of angle
ICE Princess25 [194]

Answer:

C. 105°

Step-by-step explanation:

6 0
3 years ago
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