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blsea [12.9K]
2 years ago
7

What is the least common multiple of 3, 4, 9, and 12

Mathematics
1 answer:
Sati [7]2 years ago
7 0

Answer:

36

Step-by-step explanation:

3 x 12 = 36

4 x 9 = 36

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What is number 61 and a step by step explaination please?
astra-53 [7]

1/3 ln(<em>x</em>) + ln(2) - ln(3) = 3

Recall that m\log_b(n)=\log_b(n^m), so

ln(<em>x</em> ¹ʹ³) + ln(2) - ln(3) = 3

Condense the left side by using sum and difference properties of logarithms:

\log_b(m)+\log_b(n)=\log_b(mn)

\log_b(m)-\log_b(n)=\log_b\left(\dfrac mn\right)

Then

ln(2/3 <em>x</em> ¹ʹ³) = 3

Take the exponential of both sides; that is, write both sides as powers of the constant <em>e</em>. (I'm using exp(<em>x</em>) = <em>e</em> ˣ so I can write it all in one line.)

exp(ln(2/3 <em>x</em> ¹ʹ³)) = exp(3)

Now exp(ln(<em>x</em>)) = <em>x </em>for all <em>x</em>, so this simplifies to

2/3 <em>x</em> ¹ʹ³ = exp(3)

Now solve for <em>x</em>. Multiply both sides by 3/2 :

3/2 × 2/3 <em>x</em> ¹ʹ³ = 3/2 exp(3)

<em>x</em> ¹ʹ³ = 3/2 exp(3)

Raise both sides to the power of 3:

(<em>x</em> ¹ʹ³)³ = (3/2 exp(3))³

<em>x</em> = 3³/2³ exp(3×3)

<em>x</em> = 27/8 exp(9)

which is the same as

<em>x</em> = 27/8 <em>e</em> ⁹

3 0
3 years ago
What are the measures of Angles a, b, and c? Show your work and explain your answers.
jolli1 [7]
Answer: a = 40, b = 50, c = 115

Solution:
a = 40 (the vertical angles are equal)

b = 180 - 40 - a = 50 (the sum of interior angles of triangle is 180)

c = 180 - 65 = 115 (the linear theorem)
5 0
2 years ago
Write 10 x 10 x 10 x 10 x 10 with an exponent.<br> 10 x 10 x 10 x 10 x 10 =
lakkis [162]

Answer:

10^5

Step-by-step explanation:

Exponents are basically just saying how many times the number is multiplied by itself.

In the expression 10\cdot10\cdot10\cdot10\cdot10, we can see that 10 is being multiplied by itself 5 times.

So the exponent becomes 5, and the base is 10.

10^5.

Hope this helped!

7 0
3 years ago
Solve for X: -2(x+3)=-2(x+1)-4
vodomira [7]

Answer:

All real numbers are solutions.

Step-by-step explanation:

3 0
3 years ago
HELP PLEASE ASAP
3241004551 [841]

Answer:

c. 1/4 x 40

Step-by-step explanation:

25% = 1/4

so the most logical option would contain 1/4, which is c.

5 0
3 years ago
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