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2 years ago

What is the error in the equation

Mathematics

1 answer:

dimulka [17.4K]2 years ago

4 0

Answer:

The fifth line contains the error.

Step-by-step explanation:

Line 1 is the equation.

Lines 2, 3, and 4 are correct.

The error is in the 5th line.

The square root of a negative number is not a real number, so if this problem is solved only with real numbers, there is no solution.

If imaginary numbers are allowed, then the last line should read:

$x = \pm\dfrac{i\sqrt{11}}{2}$

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Answer:

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Step-by-step explanation:

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3 years ago

A boat traveled 27 miles in 2 hrs. At this rate, How many miles will the boat travele in 1/2 hrs

Mashcka [7]

Answer:

In explanation down below.

Step-by-step explanation:

So if the boat was able to travel 27 miles in 2 hours that means that it traveled 13.5 miles an hour. I think that you want to know how many miles the boat will travel in 1/2 an hour. Which is 6.75.

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1 year ago

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3 years ago

Find the indefinite integral using the substitution provided.

Nady [450]

Answer: $7\text{Ln}\left(e^{2x}+10\right)+C$

This is the same as writing 7*Ln( e^(2x) + 10) + C

=======================================================

Explanation:

Start with the equation $u = e^{2x}+10$

Apply the derivative and multiply both sides by 7 like so

$u = e^{2x}+10\\\\\frac{du}{dx} = 2e^{2x}\\\\7\frac{du}{dx} = 7*2e^{2x}\\\\7\frac{du}{dx} = 14e^{2x}\\\\7du = 14e^{2x}dx\\\\$

The "multiply both sides by 7" operation was done to turn the 2e^(2x) into 14e^(2x)

This way we can do the following substitutions:

$\displaystyle \int \frac{14e^{2x}}{e^{2x}+10}dx\\\\\\\displaystyle \int \frac{1}{e^{2x}+10}14e^{2x}dx\\\\\\\displaystyle \int \frac{1}{u}7du\\\\\\\displaystyle 7\int \frac{1}{u}du\\\\\\$

Integrating leads to

$\displaystyle 7\int \frac{1}{u}du\\\\\\7\text{Ln}\left(u\right)+C\\\\\\7\text{Ln}\left(e^{2x}+10\right)+C\\\\\\$

Be sure to replace 'u' with e^(2x)+10 since it's likely your teacher wants a function in terms of x. Also, do not forget to have the plus C at the end. This is a common mistake many students forget to do.

To verify the answer, you can apply the derivative to it and you should get back to the original integrand of $\frac{14e^{2x}}{e^{2x}+10}$

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2 years ago

In a survey of 1,600 people who owned a certain type of car, 720 said they would buy

bazaltina [42]

The percentage of the people surveyed that were satisfied with the car is 45%.

<u>Given the following data:</u>

Total population = 1,600 people

Number of car owner = 720 people.

To determine the percentage of the people surveyed that were satisfied with the car:

<h3>How to solve for a percentage.</h3>

In this exercise, you're required to calculate the percentage of the total population in this survey that would by a particular type of car again because they were satisfied with it. Thus, we would solve for the percentage as follows;

$Percent = \frac{Satisfied\;persons}{Total\; population} \times 100$

Substituting the given parameters into the formula, we have;

$Percent = \frac{720}{1600} \times 100\\\\Percent = 0.45 \times 100$

Percent = 45%

Read more on percentage here: brainly.com/question/14432715

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2 years ago