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3 years ago

Find the LCM of 12 and 18

Mathematics

1 answer:

Ipatiy [6.2K]3 years ago

5 0

Answer: 36

Step-by-step explanation: To find the least common multiple or <em>lcm</em> of 12 and 18, begin by listing the first few multiples of each number.

<em>Multiples of 12</em>

1 × 12 = 12

2 × 12 = 24

3 × 12 = 36

Notice that we skipped 0 × 12 in our list of multiples. That's because 0 × 6 is 0 and our least common multiple can not be 0.

When listing the multiples of 18, it's a good idea to keep an eye on the list of multiples for 12 so that we will notice when we find a least common multiple.

<em>Multiples of 18</em>

1 × 18 = 18 ← is not multiple of 12

2 × 18 = 36 ← is a multiple of 12

Notice that we can stop here because all other multiples that we find will be greater 36. So the least common multiple of 12 and 18 is 36.

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When jumping, a flea rapidly extends its legs, reaching a takeoff speed of 1.0 m/s over a distance of 0.50 mm . part a what is t

pshichka [43]

The flea's acceleration is 1,000 m/s².

<h3>Further explanation</h3>

The problem we overlook this time is about uniformly accelerated motion.

The list of variables to be considered is as follows.

$\boxed{u \ or \ v_i = initial \ velocity}$

$\boxed{u \ or \ v_t \ or \ v_i = terminal \ or \ final \ velocity}$

$\boxed{a = acceleration \ (constant)}$

$\boxed{d = distance \ travelled}$

Given that a take-off speed of 1.0 m/s over a distance of 0.50 mm.

The initial speed was zero from rest. It was asked about flea's acceleration when she extends her legs.

The formula we follow for this problem are as follows:

$\boxed{ \ v^2 = u^2 + 2ad \ }$

a = acceleration (in m/s²)
u = initial velocity = 0 m/s
v = take off speed = 1.0 m/s
d = distance travelled = 0.50 mm

Converted 0.50 mm to meters: $\boxed{0.50 \ mm = 0.50 \times 10^{-3} \ m = 5.0 \times 10^{-4} \ m}$

<u>Steps:</u>

We set the formula so that the acceleration becomes the subject.

$\boxed{ \ v^2 = u^2 + 2ad \ }$

$\boxed{ \ v^2 - u^2 = 2ad \ }$

$\boxed{ \ 2ad = v^2 - u^2 \ }$

$\boxed{ \ a = \frac{v^2 - u^2}{2d} \ }$

Substitute all data into equations.

$\boxed{ \ a = \frac{(1.0)^2 - (0)^2}{2(5.0 \times 10^{-4})} \ }$

$\boxed{ \ a = \frac{1}{10 \times 10^{-4}} \ }$

$\boxed{ \ a = \frac{1}{1 \times 10^{-3}} \ }$

$\boxed{ \ a = 1 \times 10^{3}\ = 1,000 \ m/s^2 \ }$

We get the flea's acceleration, i.e., 1,000 m/s².

<h3>Learn more</h3>

About scientific notation brainly.com/question/7263463
Finding the mass of substance brainly.com/question/4053884
Converting in cubic brainly.com/question/1446243

Keywords: flea, when jumping, rapidly extends its legs, take-off speed, initial velocity, distance, acceleration, uniformly accelerated motion, convert

5 0

3 years ago

Read 2 more answers

PLEASE HURRY I WILL GIVE THE BRAINLYEST TO THE PERSON WHO GETS THIS CORRECTLY

Naily [24]

Answer:

3 ≤11 ≤ 11

Step-by-step explanation:

3x-4 = 2x +1

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x-5 = 0

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3 ≤11 ≤ 11

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3 years ago

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4 years ago

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frosja888 [35]

Answer:

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All this added to your initial amount will be the final number you have 50.560

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3 years ago

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