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Fed [463]
2 years ago
14

Xlog5 - log125 = 0 solve for x. Asking for step by step answer.

Mathematics
1 answer:
Margarita [4]2 years ago
7 0

Step-by-step explanation:

x log(5)  -  log(125)  = 0 \\  log( {5}^{x} )  -  log(125)  = 0 \\  log( \frac{5x}{125} )  = 0 \\  \frac{ {5}^{x} }{125}  = 1 \\  {5}^{x}  = 125 \\

log( {5}^{x} )  =  log(125)  \\ x log(5)  =  log(125)  \\ x =  \frac{ log(125) }{ log(5) }  = 3

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What is the median value of the data set shown on the line plot? Enter your answer in the box. A line plot with twenty-two data
Bogdan [553]
Answer: the median is 6.

Please see the picture attached.

A line plot shows the number of occurrences (crosses) of each number of a data set.

The median is the central value, the middle number, of a data set ordered from least to greatest. When there are two middle numbers, the median will be the mean between the two.

In order to find the median, look at the line plot: count how many values you have (22), then add 1 (23) and divide by two (11.5). Since we have an even number of values, we will have two middle numbers, which will be in the eleventh and twelfth position.

Count the crosses from the left, the eleventh and twelfth crosses both correspond to the number 6, therefore the median is 6.

You can also write all the numbers in increasing order and divide them into two equal groups:
1, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6 | 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 11

The median will be the average between the two central numbers, therefore 6 (again).


8 0
3 years ago
Read 2 more answers
What is 3 to the sixth power times 3 there is a picture please help worth 12 pts.!!!!!
Diano4ka-milaya [45]

Answer:

2187 ( 3 to the 7th)

Step-by-step explanation:

3 to the 6th= 729

729 x 3 = 2187

6 0
3 years ago
The area of a rectangle painiting is given by the trinomial x^2-9x-36. what are the possible dimensions of the painting ? use fa
bagirrra123 [75]
<span> (x + 3) • (x - 12)
</span>

The first term is, <span> <span>x2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> -9x </span> its coefficient is <span> -9 </span>.
The last term, "the constant", is <span> -36 </span>

Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • -36 = -36</span> 

Step-2 : Find two factors of  -36  whose sum equals the coefficient of the middle term, which is  <span> -9 </span>.

<span><span>     -36   +   1   =   -35</span><span>     -18   +   2   =   -16</span><span>     -12   +   3   =   -9   That's it</span></span>


Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -12  and  3 
                     <span>x2 - 12x</span> + 3x - 36

Step-4 : Add up the first 2 terms, pulling out like factors :
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              Add up the last 2 terms, pulling out common factors :
                    3 • (x-12)
Step-5 : Add up the four terms of step 4 :
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             Which is the desired factorization

Final result :<span> (x + 3) • (x - 12)</span>
8 0
3 years ago
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8 0
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UNO [17]

Answer:

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