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krek1111 [17]
1 year ago
15

Identities and properties of logarithms ​

Mathematics
1 answer:
Natali [406]1 year ago
8 0

(2a^7b^5\cdot 3ab^8)^2\implies \left( 2^2 a^{(7)(2)} b^{(5)(2)} \cdot 3^2 a^2 b^{(8)(2)}\right)\implies 4a^{14}b^{10}\cdot 9a^2b^{16} \\\\\\ (4)(9)a^{14}a^2b^{10} b^{16}\implies 36a^{14+2}b^{10+16}\implies 36a^{16}b^{26}

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What ordered pair is in the solution set of 2x - 3y > 8?
Arlecino [84]
1x%4 4x pair solution
5 0
3 years ago
multiple choice plz answer be the correct answer and show working out if can it has to be correct plz "multiple coordinate trans
Alexus [3.1K]

Answer:

Solution : Option B

Step-by-step explanation:

1. This point first underwent a translation of 1 unit up and 4 units left. After a translation of 1 unit up, the coordinate would be ( - 2, 8 ), and after moving 4 units left the coordinate would be ( - 6, 8 ). This is our new point after the translation.

2. Next, point ( - 6, 8 ) was reflected about the x - axis. This would make the coordinate ( - 6, - 8 ) - as it now enters the third quadrant, where all possible x and y coordinates are taken to be negative.

3. Now point ( - 6, - 8 ) is rotated 90 degrees anticlockwise about the origin. Remember that this point is in the third quadrant. If it moves anticlockwise 90 degrees, it will end up in the fourth quadrant, seemingly at point ( 8, - 6 ).

6 0
4 years ago
Stephen spends 10% of his salary on food, 15% of it on transportation, and saves the remaining 2000. what is his salary?
Ber [7]

Answer:

His salary is $2666.68

Step-by-step explanation:

First add the percent of the costs.       10% + 15% = 25%

Then subtract 25% from 100% to find the percentage that 2,000 is of the total salary.                                                           100% - 25% = 75%

$2,000 is 75% of the total salary. Divide 2,000 by three to find the amount of money 25% of the salary is. ( 75% is 3/4 of 100)                                                         2,000 divided by 3 = $666.67

25% of the salary is $666.67

Multiple that by 4 and you get the total salary.

666.67•4= $2666.68

Are you sure those were all the correct numbers because that was not a very nice number at the end there lol but that answer is correct with the numbers you gave me.


5 0
4 years ago
The 2007 record for the University of North Carolina softball team was 46 wins to 21
Oksana_A [137]

Answer:

the ratio is still 46:21 because it cn't be reduced any further

5 0
3 years ago
Choose an equivalent ratio. 4:9<br><br> A) 27:40<br> B) 27:18<br> C) 12:27<br> D) 16:27
jek_recluse [69]

Answer:

The answer is C.

Step-by-step explanation:

The answer is C because both numbers in 4:9 can be multiplied by the same factor (3) to get 12:27, the answer. No other choice works because they require two different number factors, not just one, which means they aren't equivalent ratios to 4:9.

5 0
3 years ago
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