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3 years ago

Which equations are equivalent to the given equation?

Mathematics

1 answer:

Strike441 [17]3 years ago

6 0

49=-7k is equivalent to D because when you simplify both of them, you get -7=k

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How do you do these questions?

algol [13]

Answer:

-x¹⁴ / 5040

-½ < x < ½

Step-by-step explanation:

f(x) = e^(-x²)

The Taylor series for eˣ centered at 0 is:

eˣ = ∑ (1/n!) xⁿ

Substitute -x²:

e^(-x²) = ∑ (1/n!) (-x²)ⁿ

e^(-x²) = ∑ (1/n!) (-1)ⁿ x²ⁿ

The 14th degree term occurs at n=7.

(1/7!) (-1)⁷ x¹⁴

-x¹⁴ / 5040

ln(1 + x) = ∑ₙ₌₁°° (-1)ⁿ⁺¹ xⁿ / n

If we substitute 4x²:

ln(1 + 4x²) = ∑ₙ₌₁°° (-1)ⁿ⁺¹ (4x²)ⁿ / n

Using ratio test:

lim(n→∞)│aₙ₊₁ / aₙ│< 1

lim(n→∞)│[(-1)ⁿ⁺² (4x²)ⁿ⁺¹ / (n+1)] / [(-1)ⁿ⁺¹ (4x²)ⁿ / n]│< 1

lim(n→∞)│-1 (4x²) n / (n+1)│< 1

4x² < 1

x² < ¼

-½ < x < ½

7 0

3 years ago

561 rounded to the nearest hundred

insens350 [35]

561 rounded to the nearest hundred is 600

4 0

3 years ago

A cylinder has a base radius of 7m and a height of 14m. What is its volume in cubic m, to the nearest tenths place?

Westkost [7]

Answer:Answer:

2155.1 m^3

Step-by-step explanation:

area= pi* r ^2 * h =pi * 7^2 *14 = 2155.1 m^3

6 0

2 years ago

The table below shows points that are on the graph of the function h(x). 0 1 2 3 4 5 h(2) 2 5 8 11 14 17 Select the point that i

sukhopar [10]

9514 1404 393

Answer:

B. (2, 0)

Step-by-step explanation:

We understand the points on the graph of h(x) to be ...

(0, 2), (1, 5), (2, 8), (3, 11), (4, 14), (5, 17)

The points on the graph of the inverse function will have the x- and y-coordinates reversed:

(2, 0), (5, 1), (8, 2), (11, 3), (14, 4), (17, 5)

The one that appears among the answer choices is ...

(2, 0)

7 0

2 years ago

HELPPP!!!!!!!!!!!!!! meeee ok so there are 12 boys and 8 girls in the french club. what is the ratio of boys to girls.

san4es73 [151]

Answer:

3:2

Step-by-step explanation:

The ratio of boys to girls will be 12:8

But, this can be simplified, since both numbers are divisible by 4.

12/4 = 3

8/4 = 2

So, the simplified ratio of boys to girls is 3:2

5 0

3 years ago

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