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3 years ago

Help plz

Mathematics

2 answers:

podryga [215]3 years ago

8 0

Answer :Yess

Step by step:

galina1969 [7]3 years ago

5 0

Answer: Yes it is

Step-by-step explanation:

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PLEASE HELP! HURRY! since its 2 questions, ILL GIVE MORE POINTS!

VARVARA [1.3K]

A. m = 0 || This is incorrect, because m being equal to 0 is a solution in and of itself.

B. m = m || This is incorrect, because m being equal to itself means that there are an infinite number of solutions.

C. 2m + 1 = m - 2 | m = -3 || This is incorrect, because m can be solved for and has a solution.

D. m + 4 = m - 4 | 4 = -4 || This is correct because 4 is not equal to -4, and thus there is no solution.

Hope this helps!! :)

6 0

4 years ago

Which of the following sequences can be described as an arithmetic sequence?

vodka [1.7K]

Answer:

c,e

Step-by-step explanation:

6 0

3 years ago

A survey asked participants whether or not they were vegetarian and how important they thought saving energy was. The two-way ta

blondinia [14]

Answer:

We choose D.

Step-by-step explanation:

The question is which statement is true?

A. 33% of the people surveyed were vegetarian and though saving energy was not important

=> It is wrong because we do not know the total number of people who were surveyed.

B. This statement is wrong, because we also have 26% non - vegetarian though saving energy was not important

C. This statement is wrong, because there are 38% non - vegetarian though saving energy was not important and only 26% non - vegetarian though saving energy was very important

D. True because there are 36% non - vegetarian though saving energy was somewhat important while there are 17% vegetarian think so. Hence, a person who was not a vegetarian was morel likely than a vegetarian to think that saving energy is somewhat important

=> We choose D.

8 0

3 years ago

How do you do this question?

AfilCa [17]

<h3>4 Answers: A, B, C, D</h3>

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

Explanation:

f(x) is continuous when x >= 1. The only discontinuity for f(x) is when x = 0, but 0 is not part of this interval.

f(x) is positive for any valid x value in the domain since x^6 is always positive. In general, x^n is positive for all x when n is any even number.

f(x) is decreasing. You can see this through a table of values or through a graph. For anything in the form 1/(x^k), it will be a decreasing function because x^k gets larger, so 1/(x^k) gets smaller, when x goes to infinity.

--------------------

The conditions to use the integral test have been met. So we have to see if $\displaystyle \int_1^{\infty}f(x)dx$ converges or not.

Let's integrate and find out

$\displaystyle \int \frac{1}{x^6} dx = \int x^{-6} dx\\\\\\ \displaystyle \int \frac{1}{x^6} dx = \frac{1}{1+(-6)}x^{-6+1}+C\\\\\\ \displaystyle \int \frac{1}{x^6} dx = \frac{1}{-5}x^{-5}+C\\\\\\ \displaystyle \int \frac{1}{x^6} dx = -\frac{1}{5}*\frac{1}{x^5}+C\\\\\\ \displaystyle \int \frac{1}{x^6} dx = -\frac{1}{5x^5}+C\\\\$

So we have

$\displaystyle g(x) = \int f(x) dx\\\\\\\displaystyle g(x) = \int \frac{1}{x^6} dx\\\\\\\displaystyle g(x) = -\frac{1}{5x^5}+C\\\\\\$

Meaning that,

$\displaystyle \int_{a}^{b} f(x) dx = g(b)-g(a)\\\\\\\displaystyle \int_{a}^{b} \frac{1}{x^6} dx = \left(-\frac{1}{5b^5}+C\right)-\left(-\frac{1}{5a^5}+C\right)\\\\\\\displaystyle \int_{a}^{b} \frac{1}{x^6} dx = -\frac{1}{5b^5}+\frac{1}{5a^5}\\\\\\$

If we plug in a = 1 and apply the limit as b approaches positive infinity, then the expression $-\frac{1}{5b^5}+\frac{1}{5a^5}$ will turn into $\frac{1}{5}$