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2 years ago

Hi, can someone please give me a detailed explanation on how to solve this problem?

Mathematics

1 answer:

Dovator [93]2 years ago

5 0

Answer:

Step-by-step explanation:

log3^(2x+3) = log243

(2x+3)log3 = log243

2x+3 = log243/log3

2x = (log243/log3)-3

x = [(log243/log3)-3]/2

x = (5-3)/2

x = 2/2

x = 1

Check:

3^2(1)+3 = 243

3^2+3 = 243

3^5 = 243

3×3×3×3×3 = 243

9×9×3 = 243

81×3 = 243

243 = 243

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Among all pairs of numbers with a sum of 238238, find the pair whose product is maximum. Write your answers as fractions reduced

mylen [45]

Answer:

$x=119119,\;\;\;y=119119$

Step-by-step explanation:

Let the $x$ be the first number, $y$ be the second number and $p$ be the product of the first and second number.

i.e $x+y=238238$ $\Rightarrow x=238238-y$

$p=xy$

$\Rightarrow p=(238238-y)y\\\Rightarrow p=238238y-y^2$

$\Rightarrow \frac{dp}{dy} =238238-2y\\\Rightarrow 0=238238-2y\\\Rightarrow 2y=238238\\\Rightarrow y=119119$

Now,

$x=238238-119119\\\\ \Rightarrow x=119119$

Hence, $x=119119,\;\;\;y=119119$

8 0

2 years ago

What is “2 1/2 x 3 1/3”

lesya692 [45]

Answer:

The answer is 8.3 bar notation.

Step-by-step explanation:

2 1/2 into improper is 5/2

3 1/3 into improper is 10/3

Now Multiply

5/2 x 10/3 is 300/36

Now Reduce.

25/3 = 8.3 bar notation

Mark Brainliest!

3 0

2 years ago

Read 2 more answers

A histogram is better for _____________ data and a frequency polygon is better for ________data.

Ne4ueva [31]

A histogram is better for "discrete" data and a frequency polygon is better for "continuous" data.

<h3>What is histogram?</h3>

A histogram is a data representation that looks like a bar graph and buckets a wide range of categories into columns all along horizontal x-axis.

The numeric count or percentage of happenings in the data for every column is represented by the vertical y-axis.
Columns can be employed to visualize data distribution patterns.
Technical analysts use the MACD histogram in trading to making data in momentum.
The MACD histogram columns could provide buy and sell signals earlier than the MACD and signal lines.

<h3>What is frequency polygon?</h3>

Frequency polygons are a graphs depiction of the distribution that aids in data comprehension by utilizing a specific shape.

Frequency polygons are comparable to histograms but are more beneficial when comparing two or more different data sets.
The graph primarily displays cumulative frequency distribution data as a line graph.
Frequency Polygons are a type of graph that deciphers information or data and are broadly used in statistics.
This graphic form of data representation aids in the depiction of the data's shape and trend in a systematic and organized manner.

To know more about the histogram, here

brainly.com/question/2962546

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5 0

1 year ago

simplify 4 square root of 2 end root plus 7 square root of 2 end root minus 3 square root of 2. 2 square root of 8 8 square root

Alex787 [66]

<u>Answer</u>

8√2

<u>Explanation</u>

Simply: 4√2 + 7√2 - 3√2

Let √2 = x

4√2 + 7√2 - 3√2 = 4x + 7x - 3x

= 11x - 3x

= 8x

Substituting x with √2

4√2 + 7√2 - 3√2 = 8√2

4 0

2 years ago

Read 2 more answers

On a bicycle you can travel 20 miles in four hours. At the same rate what distance can you travel in one hour?

Naily [24]

Answer: 5 Miles in one hour

Step-by-step explanation:

If you're able to bike 20 miles in 4 hours, all you have to do is divide it by 4.

20 divided by 4 = 5

So, you're able to ride 5 miles in one hour.

Your answer is: 5 Miles in one hour

6 0

3 years ago

Read 2 more answers