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zimovet [89]
3 years ago
6

Solve the equation –4 In(6x) = 2. O A. 0.101 B. 0.275 C 3.639 D. 67.238

Mathematics
2 answers:
Ugo [173]3 years ago
7 0

Answer:

A) 0.101

Step-by-step explanation:

  • ln(6x) = -1/2
  • 6x = e^(^-^1^/^2^)
  • 6x = 1/\sqrt{e}
  • x = 1/(6\times \sqrt{e})

Using the calculator x = 0.101

EastWind [94]3 years ago
6 0

Isolate the variable using algebraic manipulation.

-4 ln(6x)=2

ln(6x)=-\frac{1}{2}

6x=e^{-\frac{1}{2}}

x=\frac{e^-\frac{1}{2}}{6}

x=0.101

Hope this helps.

頑張って!

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Write equivalent fractions for 1/4,1/2,and 7/9 using the least common denominator.
torisob [31]

In this problem, we want to write equivalent fractions that share a common denominator.

To find the common denominator, we need to find the lowest common multiple of the denominator for each fraction. So, we need to find the LCM (lowest common multiple) for 4, 2, and 9.

One method is to list multiples of each number until you find one that works. My advice is to start with the largest number, as the lists of smaller numbers can get pretty long.

Let's list the first five multiples of 9:

9,18,27,36,45

We see that 9 is not a multiple of 2 or 4.

We see that 18 is a multiple of 2 (2 times 9), but not 4.

As we move through the list, we can check the multiples until it works. In this case, 36 is our common multiple:

\begin{gathered} 2\cdot18=36 \\ 4\cdot9=36 \end{gathered}

Now we want to rewrite each of our fractions using 36 as our denominator.

\begin{gathered} \frac{1}{4}\rightarrow\frac{?}{36} \\  \\ \frac{1\cdot9}{4\cdot9}=\frac{9}{36} \end{gathered}

Next, we'll do 1/2:

\begin{gathered} \frac{1}{2}\rightarrow\frac{?}{36} \\  \\ \frac{1\cdot18}{2\cdot18}=\frac{18}{36} \end{gathered}

Finally, we'll find the last fraction for 7/9:

\begin{gathered} \frac{7}{9}\rightarrow\frac{?}{36} \\  \\ \frac{7\cdot4}{9\cdot4}=\frac{28}{36} \end{gathered}

So now we have all our equivalent fractions for 1/4, 1/2, and 7/9.

\frac{1}{4}=\frac{9}{36}\frac{1}{2}=\frac{18}{36}\frac{7}{9}=\frac{28}{36}

3 0
1 year ago
What is the unit rate for 15 apples eaten in 5 minutes for 15 apples eaten in 5 minutes
USPshnik [31]

The unit rate is 3 apples per minute

Step-by-step explanation:

Unit rate will be calculated by dividing the total number of apples by the time

Given

Total number of apples = 15

Time = 5 min

So, The unit rate will be:

Unit\ rate=\frac{Apples}{Time}\\=\frac{15}{5}\\=3\ apples\ per\ min

Hence,

The unit rate is 3 apples per minute

Keywords: Unit rate, Division

Learn more about unit rate at:

  • brainly.com/question/4163549
  • brainly.com/question/4168505

#LearnwithBrainly

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Answer:

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0.25 to the -1 power is 4

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