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kakasveta [241]
3 years ago
7

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
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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:

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5 0
3 years ago
Help me with the part b!
ra1l [238]
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