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3 years ago

The LCM of 12 and 6 is 6. True or False

Mathematics

2 answers:

elena-s [515]3 years ago

7 0

Answer:

false but Least common multiple (LCM) of 6 and 12 is 12.

Lostsunrise [7]3 years ago

5 0

Answer: False

Step-by-step explanation:

Step 1: Find the prime factor of 6

Which are 6 = 2 × 3

Step 2: Find the prime factor of 12

Which are 12 = 2 × 2 × 3

Multiply each factor the greater number of times it occurs in steps 1 and 2

LCM = 2 × 2 × 3

LCM = 12

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If log2 5 = k, determine an expression for log32 5 in terms of k.

lukranit [14]

Answer:

$log_3_2(5)=\frac{1}{5} k$

Step-by-step explanation:

Let's start by using change of base property:

$log_b(x)=\frac{log_a(x)}{log_a(b)}$

So, for $log_2(5)$

$log_2(5)=k=\frac{log(5)}{log(2)}\hspace{10}(1)$

Now, using change of base for $log_3_2(5)$

$log_3_2(5)=\frac{log(5)}{log(32)}$

You can express $32$ as:

$2^5$

Using reduction of power property:

$log_z(x^y)=ylog_z(x)$

$log(32)=log(2^5)=5log(2)$

Therefore:

$log_3_2(5)=\frac{log(5)}{5*log(2)}=\frac{1}{5} \frac{log(5)}{log(2)}\hspace{10}(2)$

As you can see the only difference between (1) and (2) is the coefficient $\frac{1}{5}$ :

So:

$\frac{log(5)}{log(2)} =k\\$

$log_3_2(5)=\frac{1}{5} \frac{log(5)}{log(2)} =\frac{1}{5} k$

6 0

3 years ago

Why is 25 mg lighter than 25 cg

Mashutka [201]

25 mg is lighter than 25 cg because mg is 0.001 g and cg is 0.01 g :)

7 0

3 years ago

there are approximately 3 million births in the unitad states each year .find the birth rate per minute

juin [17]

Answer:

Approx. 6 b/m

Step-by-step explanation:

Find out How many minutes in a year which is 525600 then divide that by 3,000,000 which makes 5.7077 so rounded is 6.

3 0

2 years ago

Read 2 more answers

Eric walked 6 laps in 36 minutes. Sally walked 3 laps in 18 minutes. Determine if the given ratios are equivalent?

zhuklara [117]

Step-by-step explanation:

6:36 = 6/36 = 1/6

3:18 = 3/18 = 1/6

therefore this ratios are equivalents...

hope this answer helps you dear...take care!

5 0

3 years ago

Help me with the part b!

ra1l [238]

Average speed = (distance final - distance initial)/(time final - time initial)
Average speed = (30-0)km /(100 -0)min = 3/10 km/min

3/10 km/min *60 min/1 h = 180/10 km/h= 18 km/h

7 0

3 years ago