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2 years ago

13

list 5 examples and application where geometric sequences occur in everyday life.justify your answer are geometric sequences

1 answer:

lbvjy [14]2 years ago

7 0

A ball bouncing is an example of a finite geometric sequence. Each time the ball bounces it's height gets cut down by half. If the ball's first height is 4 feet, the next time it bounces it's highest bounce will be at 2 feet, then 1, then 6 inches and so on, until the ball stops bouncing.

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What is the scale factor solve of x

Natasha_Volkova [10]

The scale factor is 2

x = 11.5

14/7 = 2

23/x = 2

x = 11.5

3 0

3 years ago

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The ratio of bous to girls in the school is 1 to 4. If there are 20 girls, how many boys are there?

anyanavicka [17]

if there's 1 boy to every 4 girls, there's going to be 5 boys for every 20 girls

6 0

3 years ago

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A drink is made by mixing 650 ml of water with 150 ml of fruit juice.

Luda [366]

<h2>○=> <u>Correct answer</u> :</h2>

$\boxed{\color{hotpink}\tt18.75\%}$ of the drink is fruit juice

<h3>○=> <u>Steps to derive correct answer</u> :</h3>

Quantity of water in a drink = 650 ml

Quantity of fruit juice in a drink = 150 ml

Total quantity of both items in the drink :

$=\tt 650 + 150$

$\color{plum}=\tt 800 \: ml$

Thus, the total quantity of both items in the drink = 800 ml

Let the percentage of of fruit juice in the drink be x%.

Which means :

$= \tt\frac{x}{100} \times 800 = 150$

$= \tt \frac{x \times 800}{100} = 150$

$=\tt \frac{800x}{100} = 150$

$=\tt 8x = 150$

$=\tt x = \frac{150}{8}$

$\hookrightarrow\color{plum} \bold{x = 18.75\%}$

Then, the percentage of water in the drink :

$= \tt100 - 18.75$

$\color{plum}= \tt81.25\%$

Thus, the percentage of water in the drink = 81.25%

<h3>○=> <u>Therefore</u> :</h3>

▪︎Percentage of fruit juice in the drink = 18.75%

▪︎Percentage of water in the drink = 81.75%

8 0

3 years ago

Read 2 more answers

The mean of the data set is 15.What number is missing? 9,12,16,18,23

maxonik [38]

The number 12 is missing in the data set.

<u>Step-by-step explanation</u>:

The numbers are 9,12,16,18,23.
The missing number is assumed to be 'x'

Mean = Sum of the integers / Total number of integers.

15 = (9+12+16+18+23+x) / 6

15 = (78+x) / 6

90 = 78+x

x = 90-78

x = 12

3 0

3 years ago

How many different twotwo-letter passwords can be formed from the letters

Anna [14]

Answer:

$70$

Step-by-step explanation:

GIVEN: two two-letter passwords can be formed from the letters A, B, C, D, E, F, G and H.

TO FIND: How many different two two-letter passwords can be formed if no repetition of letters is allowed.

SOLUTION:

Total number of different letters $=8$

for two two-letter passwords $4$ different are required.

Number of ways of selecting $4$ different letters from $8$ letters $=^8C_4$

$=\frac{8!}{4!4!}$

$=70$

Hence there are $70$ different two-letter passwords can be formed using $8$ letters.

5 0

3 years ago