Please answer this question ASAP!

Mathematics

1 answer:

kvasek [131]1 year ago

3 0

Answer:

8:07:12 am

Step-by-step explanation:

The lights will change simultaneously after any multiple of the least common multiple of their cycle times.

The least common multiple of a set of numbers is the product of the highest powers of their prime factors.

48 = 2⁴×3

72 = 2³×3²

108 = 2²×3³

The highest power of the factor 2 is 4. The highest power of the factor 3 is 3, so the LCM of the numbers 48, 72, and 108 is ...

LCM = 2⁴×3³ = 16×27 = 432

The lights will change simultaneously after each period of 7 minutes 12 seconds. They will change simultaneously again at 8:07:12 am.

You might be interested in

What is the slope of the line that passes through the points (3, 4) and (5, –4)?

balandron [24]

M = -4 -4 / 5- 3 = -8/2 = -4

y = -4x + b

4 = -12 + b

b = 16

y = -4x + 16

3 0

4 years ago

Hey can you please help me posted picture of question

zhuklara [117]

For this case we have the following polynomial:
x2 + 6x + 8
We note that the polynomial can be rewritten as:
(x + 4) (x + 2)
Answer:
A common factor binomial for this case is given by:
(x + 4)
option B

7 0

3 years ago

Read 2 more answers

Help!!<br><br> which expression is equivalent to (m^5 n /pq^2) ^4

lana66690 [7]

$\text{Use:}\\\\\left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\\\\(a\cdot b)^n=a^n\cdot b^n\\\\(a^n)^m=a^{nm}\\\\......................................................\\\\\left(\dfrac{m^5n}{pq^2}\right)^4=\dfrac{(m^5n)^4}{(pq^2)^4}=\dfrac{(m^5)^4n^4}{p^4(q^2)^4}=\dfrac{m^{20}n^4}{p^4q^8}$