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2 years ago

! PLEASE HELP!

1 answer:

8 0

Using the combination formula, it is found that if the first flag is orange then the number of different signals consisting of 4 flags is 364.

The order in which the flags are chosen is not important, hence, the <em>combination formula</em> is used to solve this question.

<h3>What is the combination formula?</h3>

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by:

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this problem, considering that the first flag is orange, 3 flags will be chosen from a set of the remaining 14, hence the number of signals is given by:

$C_{14,3} = \frac{14!}{3!11!} = 364$

More can be learned about the combination formula at brainly.com/question/25821700

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You want to save $500 for a school trip. You begin by saving a penny on the first day. You save an additional penny each day aft

irga5000 [103]

Answer:

Step-by-step explanation:

The formula for determining the sum of n terms of an arithmetic sequence is expressed as

Sn = n/2[2a + (n - 1)d]

Where

n represents the number of terms in the arithmetic sequence.

d represents the common difference of the terms in the arithmetic sequence.

a represents the first term of the arithmetic sequence.

From the information given,

a = 1 penny = 1/100 = $0.01

d = 0.01

a) For 100 days, the sum of the first 100 terms, S100 would be

S100 = 100/2[2 × 0.01 + (100 - 1)0.01]

S100 = 50[0.02 + 0.99)

S100 = 50 × 1.01 = $50.5

b) when Sn = $500, then

500 = n/2[2 × 0.01 + (n - 1)0.01]

Multiplying through by 2, it becomes

500 × 2 = n[2 × 0.01 + (n - 1)0.01]

1000 = n[0.02 + 0.01n - 0.01]

1000 = n[0.01 + 0.01n]

1000 = 0.01n + 0.01n²

0.01n² + 0.01n - 1000 = 0

Applying the general formula for quadratic equations,

x = [-b±√(b² - 4ac)]/2a

n = - 0.01±√0.01²-4(0.01 × - 1000)]/2 × 0.01

n = (- 0.01 ± √40.001)/0.02

n = (- 0.01 + 6.32)/0.02 or

n = (- 0.01 - 6.32)/0.02

n = 315.5 or n = - 316.5

Since n cannot be negative, then n = 315.5

It will take approximately 316 days to save $500

6 0

3 years ago

A stack of bricks is 3 1/2 feet high. If each brick is 1 3/4 inches high, how many bricks are in the stack?

Arisa [49]

We have to divide 3 1/2 by 1 3/4:
3 1/2 : 1 3/4 = 7/2 : 7/4 = 7/2 * 4/7 = 2
Answer:
A ) 2 bricks are in the stack.

8 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20%5Ctan%28x%20%29%20%20%3D%20%20%5Cfrac%7B10%7D%7B60%7D%20" id="TexFormula1" title=" \tan(x

chubhunter [2.5K]

tan(x) = 10/60

tan(x) = 1/6

tan(x) = a -> x = arctan(a) + πn

x = arctan(1/6) + πn

x = 0.165 + πn

Best of Luck!

7 0

3 years ago

John and Kamira are playing a game. John scores - 5 in the first round, while Kamira scores 7.

disa [49]

Answer:

the sum of John's score and Kamira's score

Step-by-step explanation:

-5 + 7 = 2

8 0

3 years ago

Help plz this hard i really need help

Assoli18 [71]

With all questions???

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3 years ago