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3 years ago

What value of (m) makes this equation true

Mathematics

1 answer:

klasskru [66]3 years ago

4 0

Answer:

-71

Step-by-step explanation:

(M+3)/4=-17

M+3=-17*4

M+3=-68

M=-68-3

M=-71

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Answer the question with explanation;

PSYCHO15rus [73]

Answer:

The statement in the question is wrong. The series actually diverges.

Step-by-step explanation:

We compute

$\lim_{n\to\infty}\frac{n^2}{(n+1)^2}=\lim_{n\to\infty}\left(\frac{n^2}{n^2+2n+1}\cdot\frac{1/n^2}{1/n^2}\right)=\lim_{n\to\infty}\frac1{1+2/n+1/n^2}=\frac1{1+0+0}=1\ne0$

Therefore, by the series divergence test, the series $\sum_{n=1}^\infty\frac{n^2}{(n+1)^2}$ diverges.

EDIT: To VectorFundament120, if $(x_n)_{n\in\mathbb N}$ is a sequence, both $\lim x_n$ and $\lim_{n\to\infty}x_n$ are common notation for its limit. The former is not wrong but I have switched to the latter if that helps.

7 0

3 years ago

Read 2 more answers

PLEAZE HELP IM FAILING THIS CLASS 9) The volume of a box is represented by x' +11x² + 20x – 32. The width of the box is x – 1, a

In-s [12.5K]

Answer:

Step-by-step explanation:

Volume of the box = x³ +11x² + 20x – 32 I think the ' is a typo for ³

the width is x-1 and the height is x+8

Find an expression for the length

Vol = LWH solve L

Vol / (WH) = L so

L = (x³ +11x² + 20x – 32) / (x-1) (x+8)

so it would help to factor the numerator

(x³ +11x² + 20x – 32) I'm willing to bet (x-1) and (x+8) are factors

but I will plot the equation to find the three roots

(x³ +11x² + 20x – 32) = (x-1) (x+8) (x+4)

L = (x³ +11x² + 20x – 32) / (x-1) (x+8)

= (x-1) (x+8) (x+4) / (x-1) (x+8) the (x-1) and (x+8) cancel out leaving

L = (x + 4)

7 0

3 years ago

Hello there! Can I get someone help please ? Thanks!

natulia [17]

Since they are right triangles use Pythagorean Theorem.
a^2 + b^2 = c^2 where c is the hypotenuse.

a. 12^2 + b^2 = 13^2
144 + b^2 = 169
subtract 144 from both sides
b^2 = 25
take the square root of both sides
t = 5 This is also know as a Pythagorean Triple 5-12-13

b. a^2 + 9^2 = 12^2
a^2 + 81 = 144
subtract 81 from both sides
a^2 = 63
take the square root of both sides
a = √63
a = √(9 * 7)
a = 3√7

c. 6^2 + 9^2 = c^2
36 + 81 = c^2
117 = c^2
take the square root of each side
c = √117
c = √(9*13)
x = 3√13

4 0

4 years ago

The hypotenuse of a right triangle is 5 m long. The longer leg is 1 m longer than the shorter leg. Find the side lengths of the

algol [13]

The shortest side is 3 m and the other side is 4 m. If you put all these numbers in the Pythagorean Theorem it checks out. (3^2+4^2=5^2)

7 0

3 years ago

What is 328.618 round to the nearest hundredth A. 300 B. 328.60 C. 330 D. 328.62

son4ous [18]

Answer:

D. 328.62

Step-by-step explanation:

328.618 round to the nearest hundredth

Rounding to the nearest hundredth means 2 numbers after the decimal point

Numbers that rounds to 1 are 5, 6, 7, 8, 9

Number that rounds to 0 are 0, 1, 2, 3, 4

When rounding up, to the nearest hundredth, you will consider the next number after the two figures after the decimal point

Here, the next number after the two figures after the decimal point is 8

8 is a number that rounds to 1

Therefore, add 1 to 1 to have

328.62

4 0

3 years ago

What value of (m) makes this equation true​

What value of (m) makes this equation true