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Sunny_sXe [5.5K]
2 years ago
5

What is the solution of log(3x − 2)125 = 3?

Mathematics
1 answer:
Reil [10]2 years ago
8 0
log_{3x - 2}125 = 3 \\ (3x - 2)^3 = 125 \\  \sqrt[3]{(3x - 2)^3} = \sqrt[3]{125}  \\ 3x - 2 = 5 \\ 3x = 5 + 2 \\ 3x = 7 \\ x = 7/3
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A six sided die is rolled four times what’s the probability of rolling a 4 only on the last toll
Brilliant_brown [7]
The answer would be 1/2
4 0
3 years ago
In a race between 18 people, how many ways can the top 5 finishers be arranged?
snow_lady [41]

Answer:

Step-by-step explanation:

This is permutation, since order matters.  The formula for us is

₁₈P₅ = \frac{18!}{(18-5)!} which simplifies to

₁₈P₅ = \frac{18*17*16*15*14*13!}{13!}

The factorial of 13 cancels out on the top and bottom leaving you with

₁₈P₅ = 18 × 17 × 16 × 15 × 14

which comes to 1,028,160 ways

Another way to look at it is:  the first 5 people of 18 finish and the others you don't care about.  Once the first place person is first, there are only 4 of the 18 left to finish in second place.  Then there are only 3 left to finish in third place, etc.  So if we use that reasoning, we don't even need to use the formula, we can just say

18 * 17 * 16 * 15 * 14 and those are the first 5 people of 18 to finish.

8 0
3 years ago
Please help me. I am pretty confused on this ​
Tanya [424]

Answer:

C

Step-by-step explanation:

16's square root is 4

8 0
3 years ago
Read 2 more answers
PLEASE HELP ME!
schepotkina [342]

Answer:

76.8

Step-by-step explanation:

Using the proportion

\frac{120}{100} → Percent is out of 100

\frac{120}{100} = \frac{n}{64} ( cross-  multiply )

100n = 7680 ( divide both sides by 100 )

n = 76.8

5 0
3 years ago
A carpenter built a square table with side length x. Next, he will build a rectangular table by tripling one side and halving th
mart [117]

The simplified expression for the area of the rectangular table is Three-halves x squared, 3x²/2

<h3>What is the area of the rectangular table?</h3>

Since the carpenter built a square table with side length x.  Next, he will build a rectangular table by tripling one side and halving the other.

To find the area of the rectangular table, we know that Area, A = LW where

  • L = length and
  • W = width

Now, since the length of the square is x, and the rectangular table has one side of the square tripled and halving the other side .

So,

let

  • length of the rectangular table = L = x/2 and
  • width of rectangular = W = 3x

So, the area of the rectangular table A = LW

= x/2 × 3x

= 3x²/2

So, the simplified expression for the area of the rectangular table is Three-halves x squared, 3x²/2

Learn more about area of rectangular table here:

brainly.com/question/23807625

#SPJ1

8 0
1 year ago
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