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3 years ago

7

A total of 622 tickets were sold for the school play. They were either adult tickets or student tickets. There were 72 more stud

ent tickets sold than adult tickets. How many adult tickets were sold?

1 answer:

Amiraneli [1.4K]3 years ago

4 0

Answer:

257

Step-by-step explanation:

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Determine whether the following series converges. Summation from k equals 2 to infinity (negative 1 )Superscript k Baseline Star

Ket [755]

Answer:

$a_k=\left|\dfrac{k^2-3}{k^2+4}\right|;\text{ is nondecreasing for $k>2$}$

$\lim\limits_{k \to \infty} a_k =1$

The series does not converge

Step-by-step explanation:

<u>Given</u> ...

$S=\displaystyle\sum\limits_{k=2}^{\infty}{x_k}\\\\x_k=(-1)^k\cdot\dfrac{k^2-3}{k^2+4}\\\\a_k=|x_k|$

<u>Find</u>

whether S converges.

<u>Solution</u>

The (-1)^k factor has a magnitude of 1, so the magnitude of term k can be written as ...

$\boxed{a_k=1-\dfrac{7}{k^2+4}}$

This is non-decreasing for k>1 (all k-values of interest)

As k gets large, the fraction tends toward zero, so we have ...

$\boxed{\lim\limits_{k\to\infty}{a_k}=1}$

Terms of the sum alternate sign, approaching a difference of 1. The series does not converge.

7 0

3 years ago

The probability that Brian wins a raffle is given by the expression n n + 2 . Write down an expression, in the form of a combine

LUCKY_DIMON [66]

Answer:

$\frac{2}{n+2}$

Step-by-step explanation:

Given

Let the total probability be 1

Probability that Brian wins a raffle = n/n+2

Probability that Brian does not win a raffle = 1 - Probability that Brian wins a raffle

Probability that Brian does not win a raffle = 1 - (n/n+2)

Probability that Brian does not win a raffle = $\frac{n+2-n}{n+2}$

Probability that Brian does not win a raffle = $\frac{2}{n+2}$

Hence required fraction is $\frac{2}{n+2}$

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3 years ago

The length of one edge of a cube is 4cm. What is the surface area of the cube?

larisa [96]

Answer:

16 cm

Step-by-step explanation:

4x4 = 16

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3 years ago

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The transfer of heat is responsible for many of the events that occur on Earth. Which of the following events is most directly c

Verizon [17]

The answer is the second one

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3 years ago

Find the difference. Write your answer in simplest form.<br><br> 1 1/6 - 1/2

vodomira [7]

Answer:

2/3

Step-by-step explanation:

1 1/6 - 1/2

Get a common denominator of 6

1 1/6 - 1/2*3/3

1 1/6 - 3/6

Borrow 1 from the 1 in the form of 6/6

6/6 + 1/6 - 3/6

7/6 - 3/6

4/6

Reduce by dividing the top and bottom by 2

2/3

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3 years ago

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