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4 years ago

When a certain number is doubled, it’s result in a number that is 5 more than the original number.

Mathematics

1 answer:

zimovet [89]4 years ago

6 0

Answer:

The original number is 5.

Step-by-step explanation:

When you double 5, you get 10. And 10 is 5 more than 5.

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Given A, B, and C are collinear. The ratio of AB to AC is 3:4. Find the y coordinate of A if B(3, -1) and C(5, -3).

Lana71 [14]

Answer:

Step-by-step explanation:

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3 years ago

PLEASE HELP ME 40 PTS!!!!!!

SSSSS [86.1K]

Answer:

The sequence converges to infinity.

Step-by-step explanation:

$a_n = \frac{n^3 - n}{n^2 + 5n}\\\\ \lim_{n \to \infty} a_n = \lim_{n \to \infty} \frac{n^3 - n}{n^2 + 5n}$

$= \lim_{n \to \infty} \frac{n(n^2 - 1)}{n(n + 5)} \\\\= \lim_{n \to \infty} \frac{(n^2 - 1)}{(n + 5)}\\\\= \lim_{n \to \infty} \frac{n(n - \frac{1}{n})}{n(1 + \frac{5}{n})}\\\\= \lim_{n \to \infty} \frac{(n - \frac{1}{n})}{(1 + \frac{5}{n})}$

$denominator = \lim_{n \to \infty} 1 + \frac{5}{n} = 1 + \lim_{n \to \infty} \frac{5}{n} = 1+0 = 1$

$numerator = \lim_{n \to \infty} n - \frac{1}{n} = \infty$

Therefore,

$\lim_{n \to \infty} a_n = \frac{ \infty}{1} = \infty$

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3 years ago

Akira is folding a piece of paper that is 0.2 millimeters thick in half. The thickness of the paper doubles with each fold. Let

Ostrovityanka [42]

Answer:

t(n)= 0.2 * 2ⁿ

Step-by-step explanation:

Thickness= 0.2 millimeters

paper = 1

n= number of folds

The exponential function will be given by

t(n)= 0.2 * 2ⁿ

so if there's a single fold

t(1)= 0.2 * 2¹

t(1)= 0.4 mm

Now for 2 folds the thickness will be

t(2) = 0.2 *2 ²

t(2)= 0.2 *4

t(2) = 0.8mm

The exponential that represents this scenario is

t(n)= 0.2 * 2ⁿ

And for 3 folds the thickness will be

t(3) = 0.2 *2 ³

t(3)= 0.2 *8

t(3) = 1.6 mm

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3 years ago

What the answer of -2(z+3)-z=-z-4(z+2)

VARVARA [1.3K]

Answer:

z= -1

Step-by-step explanation:

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3 years ago

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