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3 years ago

Continue the number pattern/sequence:

1 answer:

7 0

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, … these are the
Fibonacci numbers.

so add in +1,

we get
1+1,1+1,2+1, 3+1 ,5+1, 8+1 ,13+1, 21+1, 34+1, 55+1 ...........
2,2,3,4,6,9,14,22,35,56.........

so 22,35,56 is the answe

dont delete my answer again

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You just bought a dog and need to put a fence around your yard. If your yard is 22.5 ft by 28.5 how many feet of fencing will yo

Diano4ka-milaya [45]

Answer:

102 feet of fencing.

Step-by-step explanation:

Since this is asking to <u> enclose </u> the yard, it is a perimeter question.

22.5 x 2 = 45

28.5 x 2 = 57

45 + 57 = 102

102 is your answer.

Hope this helps.

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2 years ago

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An astronaut on the moon throws a baseball upward. The astronaut is 6 ft 6 in tall, and the initial velocity of the ball is 40 f

weqwewe [10]

Answer:

t = 0.293 s and 14.52 s

Step-by-step explanation:

The heights of the ball in feet is given by the equation as follows :

$S = -2.7t^2+40t+6.5$

Where t is the number of seconds after the ball was thrown.

We need to find is the ball 18 ft above the moon's surface.

Put S = 18 ft

$-2.7t^2+40t+6.5=18\\\\-2.7t^2+40t=18-6.5\\\\-2.7t^2+40t-11.5=0$

It is a quadratic equation. Its solution is given by :

$t=\dfrac{-40+\sqrt{40^{2\ }-4\left(-2.7\right)\left(-11.5\right)}}{2\left(-2.7\right)},\dfrac{-40-\sqrt{40^{2\ }-4\left(-2.7\right)\left(-11.5\right)}}{2\left(-2.7\right)}\\\\t=0.293\ s,14.52\ s$

So, the ball is at first 0.293 s and then 14.52 s above the Moon's surface.

8 0

3 years ago

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.

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2 years ago

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What is the length of x

Nat2105 [25]

Answer:

10 is your answer

Step-by-step explanation:

Note that the side given to us has a measurement of 5 for one of the legs of the isosceles.

This means that the <em>1</em> side on the 30-60-90 triangle has a measurement of 5.

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3 years ago

(3x/2)^4 any answers

Anika [276]

$\bf \left( \cfrac{3x}{2} \right)^4\implies \left( \cfrac{(3x)^4}{2^4} \right)\implies \left( \cfrac{3^4x^4}{2^4} \right)\implies \cfrac{81x^4}{16}$

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3 years ago

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