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3 years ago

15. Which statement explains why 30 is considered an irrational number?

Mathematics

1 answer:

Strike441 [17]3 years ago

6 0

Consider the given number is $\sqrt{30}$ in question as well as in options.

Given:

$\sqrt{30}$ is considered as an irrational number.

To find:

The reason for given statement.

Solution:

We have,

$\sqrt{30}=5.47722557505...$

When evaluated, $\sqrt{30}$ results in a nonterminating (infinite digits after decimal) and nonrepeating decimal, which is considered an irrational number.

Therefore, the correct option is C.

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Maria earns $5.00 per hour. How much will she earn if she works 7 hours?

stealth61 [152]

Multiply the money * the hours

5*7= 35

Answer : $35

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3 years ago

Read 2 more answers

Solve 10(1 + 3b) = −20, justifying each step with an algebraic property.

Delicious77 [7]

The correct answer is B = -1

10(1 + 3B) = -20

10 + 30B = -20

-20 - 10 = -30

30B = -30

B = -1

Hope this helps :)

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3 years ago

Tìm x a,(2x+3x)^2-4x^2=10 b,(x+2)^-(x-2)(x+1)=3 c,(2x+3)^-4(x-1)^2=0

mash [69]

Answer:

Step-by-step explanation:

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3 years ago

Solve the following recurrence relation: <img src="https://tex.z-dn.net/?f=A_%7Bn%7D%3Da_%7Bn-1%7D%2Bn%3B%20a_%7B1%7D%20%3D

-Dominant- [34]

By iteratively substituting, we have

$a_n = a_{n-1} + n$

$a_{n-1} = a_{n-2} + (n - 1) \implies a_n = a_{n-2} + n + (n - 1)$

$a_{n-2} = a_{n-3} + (n - 2) \implies a_n = a_{n-3} + n + (n - 1) + (n - 2)$

and the pattern continues down to the first term $a_1=0$ ,

$a_n = a_{n - (n - 1)} + n + (n - 1) + (n - 2) + \cdots + (n - (n - 2))$

$\implies a_n = a_1 + \displaystyle \sum_{k=0}^{n-2} (n - k)$

$\implies a_n = \displaystyle n \sum_{k=0}^{n-2} 1 - \sum_{k=0}^{n-2} k$

Recall the formulas

$\displaystyle \sum_{n=1}^N 1 = N$

$\displaystyle \sum_{n=1}^N n = \frac{N(N+1)}2$

It follows that

$a_n = n (n - 2) - \dfrac{(n-2)(n-1)}2$

$\implies a_n = \dfrac12 n^2 + \dfrac12 n - 1$

$\implies \boxed{a_n = \dfrac{(n+2)(n-1)}2}$

4 0

2 years ago

Any help towards finding out Part B and C would be greatly appreciated!

Alika [10]

Part B: I think the relation that has the greater value when x=6 is f(x) = 7x - 15 because:

7(6) - 15 = 27 which is greater than the output of 14.

Part C: the value of x would be 3 because:

f(x) = 7x - 15
6 = 7x - 15
+ 15 +15
21 = 7x
3 = x

Sorry if any of this is wrong.

6 0

3 years ago