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3 years ago

13

Every sixth visitor to an animal gets a free animal calendar.every twentieth visitor gets a free animal toy. which visitor each

day will be the first one to get both the calendar and the animal toy?

1 answer:

blondinia [14]3 years ago

8 0

The 60th customer each day will get both a calendar and a toy, as 60/20 = 3 and 60/6 = 10

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What is the missing pattern 7, 11, 2, 18, -7

Alexxx [7]

The <em>missing</em> pattern behind the sequence 7, 11, 2, 18, -7 is described by the formula $n = 7 + \sum \limits_{i= 1}^{n} (-1)^{i+1}\cdot (i + 1)^{2}$ , equivalent to the <em>recurrence</em> formula $a_{n+1} = a_{n} + (-1)^{i+1}\cdot (i + 1)^{2}$ .

<h3>What is the missing element in a sequence?</h3>

A sequence is a set of elements which observes at least a <em>defined</em> rule. In this question we see a sequence which follows this rule:

$n = 7 + \sum \limits_{i= 1}^{n} (-1)^{i+1}\cdot (i + 1)^{2}$ (1)

Now we prove that given expression contains the pattern:

n = 0

7

n = 1

7 + (- 1)² · 2² = 7 + 4 = 11

n = 2

7 + (- 1)² · 2² + (- 1)³ · 3² = 11 - 9 = 2

n = 3

7 + (- 1)² · 2² + (- 1)³ · 3² + (- 1)⁴ · 4² = 2 + 16 = 18

n = 4

7 + (- 1)² · 2² + (- 1)³ · 3² + (- 1)⁴ · 4² + (- 1)⁵ · 5² = 18 - 25 = - 7

The <em>missing</em> pattern behind the sequence 7, 11, 2, 18, -7 is described by the formula $n = 7 + \sum \limits_{i= 1}^{n} (-1)^{i+1}\cdot (i + 1)^{2}$ , equivalent to the <em>recurrence</em> formula $a_{n+1} = a_{n} + (-1)^{i+1}\cdot (i + 1)^{2}$ .

To learn more on patterns: brainly.com/question/23136125

#SPJ1

8 0

2 years ago

Which of the following statements is correct? A. The relationship between two variables is linear whether it is represented by

LuckyWell [14K]

Answer:

C. The relationship between two variables is linear when it is represented by a straight line and nonlinear when it is represented by a curved line.

Step-by-step explanation:

The definition of "linear" is "related by a straight line". The definition of "non-linear" is "not related by a straight line." One simply needs to understand the definitions in order to choose the correct statement.

6 0

3 years ago

What are two equivalent fractions for 1/3

balandron [24]

2/6
3/9
4/12
6/18
8/24
16/48

any three of the above should work for ya hun

7 0

4 years ago

Read 2 more answers

X = -2y + 300 3y = 800 - 4x

devlian [24]

Answer:

<h2>x = 140, y = 80</h2>

Step-by-step explanation:

$\left\{\begin{array}{ccc}x=-2y+300&(1)\\3y=800-4x&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\\\3y=800-4(-2y+300)\qquad\text{use the distributive property:}\ a(b+c)=ab+ac\\\\3y=800+(-4)(-2y)+(-4)(300)\\\\3y=800+8y-1200\\\\3y=8y-400\qquad\text{subtract}\ 8y\ \text{from both sides}\\\\-5y=-400\qquad\text{divide both sides by (-5)}\\\\y=80\\\\\text{Put it to (1):}\\\\x=-2(80)+300\\\\x=-160+300\\\\x=140$

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3 years ago

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It's dark. You have ten grey socks and ten blue socks you want to put into pairs. All socks are exactly the same except for thei

Andreas93 [3]

I would say about 5-7 socks

8 0

3 years ago

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