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3 years ago

Please Help, what is the answer

Mathematics

1 answer:

Butoxors [25]3 years ago

5 0

Answer:

The correct option is (2).

Step-by-step explanation:

We need to find the value of the given expression i.e.

$\dfrac{(8x^6)^2}{(4x^2)^3}$

We can calculate it as follows :

$\dfrac{(8x^6)^2}{(4x^2)^3}=\dfrac{8^2\times (x^6)^2}{(4)^3\times (x^2)^3}\\\\=\dfrac{x^{12}}{x^6}\\\\=x^6$

So, the final answer is x⁶. The correct option is (2).

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3 years ago

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creativ13 [48]

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3 years ago

There are 10 students in a class. The teacher chooses 2 students to go to the

CaHeK987 [17]

Answer:

The number of ways in which students were chosen is 45 ways .

Step-by-step explanation:

Given as :

The number of students in a class = x = 10

The number of students chosen by teacher to go to library = y = 2

Let The number of ways in which students were chosen = n ways

Now, According to question

So, number of ways in which students were chosen = $_{y}^{x}\textrm{C}$

Or, n ways = $_{2}^{10}\textrm{C}$

Or, n = $\frac{\L 10}{\L( 10-2)\times \L 2}$

Or, n = $\frac{\L 10}{\L8\times \L 2}$

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Hence,The number of ways in which students were chosen is 45 ways . Answer

3 0

4 years ago

twinlakes on the shelf of a covenience store lose their fresh tastines over time. we say that the taste quality is 1 when the tw

Zolol [24]

Answer:

The graph is shown below.

The time to make the taste to half is 4.265 s.

Step-by-step explanation:

Given:

Initial value of the taste is, $Q_0=1$

Therefore, the quality of taste over time 't' is given as:

$Q(t)=Q_0(0.85)^t\\Q(t)=1(0.85)^t$

Now, when the taste reduces to half, $Q=0.5$

Therefore,

$0.5=1(0.85)^t$

Taking natural log on both the sides, we get:

$\ln(0.5)=\ln(0.85)^t\\\ln(0.5)=t\ln(0.85)\\t=\frac{ln(0.5)}{\ln(0.85)}=4.265\ s$

Therefore, the time to make the taste to half is 4.265 s.

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3 years ago