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3 years ago

To the nearest millimeter, a cell phone is 72 mm long and 46 mm wide. What is the ratio of the width to the length

Mathematics

1 answer:

earnstyle [38]3 years ago

5 0

Answer:

Length = 72 mm

Width = 46 mm

Ratio = 72:46 = 36:23

Step-by-step explanation:

72 and 36 both are divisible by 2. so when we divide them by two we get 36 and 23. we can divide both the sides only with the same number, but 36 and 23 have no common factors. so we leave it here and this is the answer.

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Given the explicit expression f (n) = 5n - 2, write a set showing the sequence, and write a recursive expression.

denpristay [2]

Answer:

$f(n) = 5 + f(n - 1)$

Step-by-step explanation:

Given

$f(n) = 5n - 2$

Required

Write a recursive expression

$f(n) = 5n - 2$

When n = 1

$f(1) = 5 * 1 - 2 = 5 - 2 = 3$

$f(1) = 3$

When n = 2

$f(2) = 5 * 2 - 2 = 10 - 2 = 8$

$f(2) = 8$ can be rewritten as

$f(2) = 5 + 3$

Substitute 3 for f(1)

$f(2) = 5 + f(1)$

Express 1 as 2 - 1

$f(2) = 5 + f(2-1)$ ----- (1)

When n = 3

$f(3) = 5 * 3 - 2 = 15 - 2 = 13$

$f(3) = 13$ can be rewritten as

$f(3) = 5 + 8$

Substitute 8 for f(2)

$f(3) = 5 + f(2)$

Express 2 as 3 - 1

$f(3) = 5 + f(3 - 1)$ ------ (2)

Write out (1) and (2)

$f(2) = 5 + f(2-1)$

$f(3) = 5 + f(3 - 1)$

Replace 2 and 3 with n in both cases; This gives

$f(n) = 5 + f(n - 1)$

Hence;

The recursive is $f(n) = 5 + f(n - 1)$

7 0

3 years ago

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Answer:

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Step-by-step explanation:

OK so I might have done something wrong but just remember when you're adding a negative and and a positive number you're technically just subtracting

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A.23/6
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2 years ago

2. Given f(x) = 4x -2 and g(x) = x2 + 1, evaluate:

Novosadov [1.4K]

Answer:

a).

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b).

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c).

g(x-2) = x²- 3

d).

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3 0

3 years ago

To the nearest​ millimeter, a cell phone is 72 mm long and 46 mm wide. What is the ratio of the width to the​ length

To the nearest millimeter, a cell phone is 72 mm long and 46 mm wide. What is the ratio of the width to the length