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AleksAgata [21]
2 years ago
14

For what value of x does 3^4x=27^x-3?

Mathematics
2 answers:
dalvyx [7]2 years ago
8 0

Answer:

x= - 9

Step-by-step explanation:

This problem bothers on the law of indices

Given the expression

3^4x=27^x-3

We can also simplify it using the law

3^4x= 3^3(x-3)

Equating the powers we have

4x= 3(x-3)

Opening bracket

4x= 3x-9

Collecting like terms we have

4x-3x=-9

x=-9

Indices are used to show numbers that have been multiplied by themselves. They can also be used to represent roots, such as the square root, and some fractions. The laws of indices enable expressions involving powers to be manipulated more efficiently than writing them out in full.

Setler79 [48]2 years ago
4 0

x=4.80989686

by simplifying both sides of the equation, then isolating the variable.

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A bag contains 3 red balls and 4 blue balls. 3 balls are selected at random. Find the probability of selecting 3 red balls. ​
QveST [7]

Answer:

Step-by-step explanation:

red balls=3

blue balls=4

total balls=3+4=7

probability of selecting 3 red balls=3/7 ×2/6×1/5=1/35

selecting 1 red ball=3/7

after selecting there are two red balls and total balls are 6

so now P=2/6

and so on .

3 0
1 year ago
A rectangular boad is 1100 millmeters long and 900 millmeters wide. what is the area of the board in square meters?
Vanyuwa [196]

Answer:

1100 mm = 1.1 m, and 900 mm = 0.9 m.

So the area is 1.1 x 0.9 = 0.99 m^2

3 0
2 years ago
What is the volume of a sphere with a radius of 3 inches? 12π cubic inches 24π cubic inches 36π cubic inches 48π cubic inches
jek_recluse [69]

Answer:

12π cubic inches

Step-by-step explanation:

Volume  = (4/3)πr^3

V = (4/3)π9

V = (36/3)π

V = 12π

8 0
3 years ago
Jayden has been reading a 275275275-page book for english class. on average, he has read about 101010 pages in 151515 minutes (\
Vitek1552 [10]
<span>75 pages.
   OK. Lots of copying errors here. I'll be using 275 page book, reading 10 pages per 15 minutes, skimming 15 pages per 10 minutes, 5 hours and 50 minutes to complete the book.
   To make things easier, first convert the time to just minutes. So 5 * 60 + 50 = 300 + 50 = 350 minutes.

   Now let's use the variable X for the number of minutes spent skimming and (350-X) for the number of minutes spent reading.
 X * 15/10 + (350 - X)*10/15 = 275

   Solve for X.
 X * 15/10 + (350 - X)*10/15 = 275
 X * 15/10 + 350*10/15 - X*10/15 = 275
 X * 15/10 - X*10/15 = 275 - 350*10/15
X(15/10 - 10/15) = 275 - 3500/15
 X(45/30 - 20/30) = 825/3 - 700/3
 X(25/30) = 125/3
 X = 125/3 * 30/25 = 125/1 * 10/25 = 5/1 * 10/1 = 50/1 = 50
   So Jayden spent 50 minutes skimming. And at the rate of 15 pages every 10 minutes, he skimmed 50*15/10 = 750/10 = 75 pages.</span>
7 0
2 years ago
Find the thirteenth term of an arithmetic sequence if the first term is 3 and the common difference is 3
lesya692 [45]

Answer:

39

Step-by-step explanation:

Formula for the nth term (an) = a1 + d(n - 1)  where a1 = the first term and d = common difference.

So here the 13th term = 3 + 3(13 - 1)

= 3 + 3*12

= 39  (answer).

8 0
3 years ago
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