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vovangra [49]
3 years ago
13

Nth term of 70, 100, 130

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
6 0

Answer:

a1 = 70

a2 = 100

a3 = 130

an = 70 + 30(n - 1)

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Least Common Multiple

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What property is illustrated by the statement? 0 + x = x A. Inverse Property of Multiplication B. Commutative Property of Additi
Firlakuza [10]
<h2>Answer:</h2>

Option: D is the correct answer.

The property which is illustrated by the given statement is:

              D. Identity Property of Addition

<h2>Step-by-step explanation:</h2>

We know that an identity is a value which when added to any element of the set gives the resultant as the element itself.

Also, we know that the identity under addition is always: zero.

Because when zero is added to any number then the resultant is the number itself i.e. adding zero does not affect the value.

Hence, by the Identity Property of Addition we have:

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7 0
3 years ago
Find the general indefinite integral. (Use C for the constant of integration. Remember to use absolute values where appropriate.
Maru [420]

Answer:

9\text{ln}|x|+2\sqrt{x}+x+C

Step-by-step explanation:

We have been an integral \int \frac{9+\sqrt{x}+x}{x}dx. We are asked to find the general solution for the given indefinite integral.

We can rewrite our given integral as:

\int \frac{9}{x}+\frac{\sqrt{x}}{x}+\frac{x}{x}dx

\int \frac{9}{x}+\frac{1}{\sqrt{x}}+1dx

Now, we will apply the sum rule of integrals as:

\int \frac{9}{x}dx+\int \frac{1}{\sqrt{x}}dx+\int 1dx

9\int \frac{1}{x}dx+\int x^{-\frac{1}{2}}dx+\int 1dx

Using common integral \int \frac{1}{x}dx=\text{ln}|x|, we will get:

9\text{ln}|x|+\int x^{-\frac{1}{2}}dx+\int 1dx

Now, we will use power rule of integrals as:

9\text{ln}|x|+\frac{x^{-\frac{1}{2}+1}}{-\frac{1}{2}+1}+\int 1dx

9\text{ln}|x|+\frac{x^{\frac{1}{2}}}{\frac{1}{2}}+\int 1dx

9\text{ln}|x|+2x^{\frac{1}{2}}+\int 1dx

9\text{ln}|x|+2\sqrt{x}+\int 1dx

We know that integral of a constant is equal to constant times x, so integral of 1 would be x.

9\text{ln}|x|+2\sqrt{x}+x+C

Therefore, our required integral would be 9\text{ln}|x|+2\sqrt{x}+x+C.

4 0
3 years ago
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