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omeli [17]
3 years ago
13

Express in exponential form. log3 27 = 3

Mathematics
2 answers:
kirill [66]3 years ago
5 0

Answer:

3^3 = 27

Step-by-step explanation:

log_3(27)=3

WE need to convert it into exponential form

Rule for converting log into exponential form is

log_b(x)=a exponential form is b^a = x

base of log becomes the base of exponential form

log_3(27)=3 can be written as 3^3 = 27

ollegr [7]3 years ago
4 0

Hey!

Hope this helps...

~~~~~~~~~~~~~~~~~~~~~~~~~~~

How you right ANY log in Exponential form is like this:

Log_x Z = y

x^y = Z


So...

Log_3 27 = 3

3^3 = 27 would be your answer...

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dsp73

Answer:

The answer is 50 squared.

Explanation:

This number is the only irrational number given.

8 0
3 years ago
Make x the subject. help please
valkas [14]

Answer:

\sf x = \dfrac{n - 2mp}{2m}

Step-by-step explanation:

              \sf 3m = m + \dfrac{n}{p + x}\\

        \sf 3m - m = \dfrac{n}{p +x}

                \sf 2m = \dfrac{n}{p +x}

Now cross multiply,

          2m*(p +x) = n

To open the parenthesis, multiply 2m by p and x.

        2mp + 2mx = n

 Isolate the term with variable 'x'

                    2mx = n - 2mp

Now, isolate 'x', by dividing both sides by 2m

                          \sf  x = \dfrac{n-2mp}{2m}                            

4 0
2 years ago
Read 2 more answers
A random sample of 81 automobiles traveling on a section of an interstate showed an average speed of 60 mph. The distribution of
myrzilka [38]

Answer:

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

X \sim N(60,13.5)  

Where \mu=60 and \sigma=13.5

And for this case we select a sample size of n= 81. Since the distribution for X is normal then we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And the standard error of the mean would be:

\sigma_{\bar X} =\frac{13.5}{\sqrt{81}}= 1.5

4.1.5

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

X \sim N(60,13.5)  

Where \mu=60 and \sigma=13.5

And for this case we select a sample size of n= 81. Since the distribution for X is normal then we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And the standard error of the mean would be:

\sigma_{\bar X} =\frac{13.5}{\sqrt{81}}= 1.5

4.1.5

7 0
3 years ago
Rose is fishing from a small boat. A fish swimming at the same depth as the hook at the end of her fishing line is 8 meters away
tensa zangetsu [6.8K]

The question is incomplete, as the depth of the hook isn't given in the question. However, using a proposed depth for the hook, we could give a stepwise solution to the exercise.

Answer:

Kindly check explanation

Step-by-step explanation:

If given a hook depth of 6 meters, and a distance of 8 m(fishing line from hook) at the the Same depth, then the distance between rose and the fish, x can be calculated, using the relation.

Hypotenus² = opposite² + adjacent²

(refer to attached picture)

x² = 6² + 8²

x² = 36 +. 64

x² = 100

x = sqrt(100)

x = 10 meters

You can use the actual depth value to obtain the actual solution to your question.

8 0
2 years ago
While shopping at a clearance sale, Samantha finds a $60.00 dress on sale for 25% off. Samantha also has a 50% off coupon. Which
liq [111]

It seems most likely that ...

... Samantha will save $37.50 because she must first find the 25% sale price before taking the extra 50% reduction

_____

In the real world, it seems probable that Samantha will be offered the choice of using the coupon <em>or</em> the sale discount. If she chooses tht 50% coupon, her savings will be $30. If she chooses the marked sale discount, her savings will be $15.

The scenario above assumes she gets 50% off the sale price of $45, so saves $15+22.50 = $37.50 off the original price.

6 0
3 years ago
Read 2 more answers
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