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Pavlova-9 [17]
3 years ago
9

If log a = x and log b = y, then log (ab2) equals

Mathematics
1 answer:
mylen [45]3 years ago
3 0

Answer:

The answer for log(ab²) is x + 2y.

Step-by-step explanation:

You have to apply Logarithm Law,

log(a)  +   log(b) \:  ⇒ \:  log(a \times b)

log( {a}^{n} )  \: ⇒ \: n log(a)

In this question, you have to seperate it out :

log(a {b}^{2} )  =  log(a)  +  log( {b}^{2} )

log( {b}^{2} )  = 2 log(b)

let \:  log(a)  = x

let log(b)  = y

log(a {b}^{2} )  =  log(a)  + 2 log(b)

log(a {b}^{2} )  = x + 2y

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in constructing a box and whisker plot from the data set below at which value would you draw the left and right side of the box
KatRina [158]
A box and whisker plot is a type of statistical graph that shows the median distributions of the data set. The box represents the data median and the medias of the quartiles. The whiskers represents the lines extended from the box to the lowest and the highest data.

Take this data as an example:
<span>3.9,  4.1,  4.2,  4.3,  4.3,  4.4,  4.4,  4.4,  4.4,  4.5,  4.5,  4.6,  4.7,  4.8,  4.9,  5.0,  5.1
</span>First, find the middle value. That would be the median. In this case, that would be 4.4. Let's denote this as Q₂ or Quartile 2. Now, take the group of data set before and after the median. These are:

<span>3.9,  4.1,  4.2,  4.3,  4.3,  4.4,  4.4,  4.4
</span>
and

<span>4.5,  4.5,  4.6,  4.7,  4.8,  4.9,  5.0,  5.1
</span>
The middle of the first data set is Q₁ = 4.3, while the middle of the second set is Q₃ = (4.7+4.8)/2 = 4.75

To construct the box and whisker plot, create line for the lowest value 3,9, Q₁, Q₂, Q₃ and the highest value, 4.4. The left side of the box would be Q₁, while the right side of the box is Q₃. The line in between is the media Q₂. The whiskers are the lines connecting the lowest to Q₁, and Q₃ to the highest on the other side. The resulting box and whisker plot is shown in the attached picture.

8 0
3 years ago
Ms. Johnson owns a cabinet business that installs cabinets in kitchens. Her employees can install 2/3 of a kitchen cabinet set i
dmitriy555 [2]

Answer:

I don't know

Step-by-step explanation:

hi

8 0
3 years ago
A and B are partners sharing profit and loss in the ratio of 3:2. A new partner C is admitted and 1/4 share off profit is given.
Gre4nikov [31]

Answer:

Correct option is: 9:6:5

Step-by-step explanation:

I'm not sure but hope it helps.

6 0
2 years ago
Alvin’s age is two times Elga’s age. The sum of their age is 60. What is Elga’s age?
Nady [450]

x = Elgas age

2x = Alvins age

x +2x = 60

3x =60

x = 60/3 = 20

Elga is 20 years old

4 0
3 years ago
Whats the ninth term of 25 20 15 10 5
Kaylis [27]

Given:

The sequence is 25, 20, 15, 10, 5.

To find:

The ninth term of the given sequence.

Solution:

We have,

25, 20, 15, 10, 5

It is an AP because the difference between two consecutive terms are same.

Here,

First term (a) = 25

Common difference (d) = 20-25

                                       = -5

The nth terms of an AP is

a_n=a+(n-1)d

Where, a is the first term and d is the common difference.

Putting a=25, n=9 and d=-5 to get the 9th term.

a_9=25+(9-1)(-5)

a_9=25+(8)(-5)

a_9=25-40

a_9=-15

Therefore, the ninth term of the given sequence is -15.

3 0
2 years ago
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