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Kobotan [32]
3 years ago
11

A baseball is hit with a bat and, as a result, its direction is completely reversed and its speed is doubled. If the actual cont

act with the bat lasts 0.45 s, what is the ratio of the magnitude of the average acceleration of the ball to its original speed
Mathematics
1 answer:
alexandr402 [8]3 years ago
6 0

Answer:

6.7 /s.

Step-by-step explanation:

Initial velocity = u m/s

From the question, final velocity, v = - 2u m/s

Note - (the minus sign indicates that the direction was reversed and doubled)

t = 0.45

From equation of motion,

v = u + at

Acceleration, a = (v - u)/t

= (-2u - u)/0.45

= - 3u/0.45

Acceleration, a/Original speed, u = 3/0.45

= 6.7 /s

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Pls help I’m giving brainliest
Morgarella [4.7K]

Using prime factorization, the LCM and GCF of numbers are

1) For 46 and 4

GCF = 2

LCM = 92

2) For 2 and 34

GCF = 2

LCM = 34

3) For 32 and 4

GCF = 4

LCM = 32

<h3>What is meant by prime factorization?</h3>

A natural number other than 1 with just the number 1 and itself as factors is known as a prime factor. Actually, 2, 3, 5, 7, 11, and so on are the first few prime numbers. For numbers, we may now also employ what is known as prime factorization, which really involves utilizing factor trees.

When a number is expressed as the product of its prime factors, this is known as prime factorization.

1) The factors of the numbers are

46 = 2 × 23

4 = 2 × 2

GCF = 2

LCM = 2 × 2 × 23

= 92

2) The factors of 34 are

34 = 2 × 17

GCF = 2

LCM = 2 × 17

=34

3) The factors of the numbers are

32 = 2 × 2 × 2 × 2 × 2

4 = 2 × 2

GCF = 2 × 2

= 4

LCM = 2 × 2 × 2 × 2 × 2

= 32

To know more about prime factorization, visit:

brainly.com/question/10454590

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\text{Turn the scenarios into equations. "x" represents the amount of hours}\\\\\text{Mowing lawns:}\\\\y=8.80x \\\\\text{Babysitting:}\\\\y=7.70x\\\\\text{Plug in values and add:}\\\\8.80(6)+7.70(3)\\\\52.80+23.10\\\\\boxed{\$75.90}

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