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2 years ago

Which number is an irrational number?

Mathematics

1 answer:

ASHA 777 [7]2 years ago

6 0

Answer:

Step-by-step explanation:

Well, a rational number is like anything like -2,-1,0,1,2, etc. Also that includes perfect squares like 16 or 36, and repeating decimals that either don't continue into infinity or repeat, like, 5.2, or 2.14141414...

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How much would $500 invested at 5% interest compounded continuously be worth after 8 years? Round your answer to the nearest cen

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3 years ago

Alberts cabbage patch has 12 rows of cabbage. in each row, there are 15 heads of cabbage. how many cabbage does Albert have in a

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2 years ago

Read 2 more answers

Which choice is equivalent to the expression below when y2 0?<br> √y^2 + √16y^3 – 4y√y

DanielleElmas [232]

Answer:

Option C.

Step-by-step explanation:

We start with the expression:

$\sqrt{y^3} + \sqrt{16*y^3} - 4*y\sqrt{y}$

where y > 0. (this allow us to have y inside a square root, so we don't mess with complex numbers)

We want to find the equivalent expression to this one.

Here, we can do the next two simplifications:

$\sqrt{16*y^3} = \sqrt{16} \sqrt{y^3} = 4*\sqrt{y^3}$

And:

$y*\sqrt{y} = \sqrt{y^2} *\sqrt{y} = \sqrt{y^2*y} = \sqrt{y^3}$

If we apply these two to our initial expression, we can rewrite it as:

$\sqrt{y^3} + \sqrt{16*y^3} - 4*y\sqrt{y}$

$\sqrt{y^3} + 4*\sqrt{y^3} - 4\sqrt{y^3} = \sqrt{y^3}$

Here we can use the second simplification again, to rewrite:

$\sqrt{y^3} = y*\sqrt{y}$

So, concluding, we have:

$\sqrt{y^3} + \sqrt{16*y^3} - 4*y\sqrt{y} = y*\sqrt{y}$

Then the correct option is C.

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2 years ago

Type the correct answer in the box. Write your answer as a reduced fraction, using / for the fraction bar. A six-sided fair die

Schach [20]

Answer: $\bold{\dfrac{125}{1296}}$

<u>Step-by-step explanation:</u>

The probability of NOT getting a 4 means the probability of getting a 1, 2, 3, 5, or 6 which is 5 out of 6 = $\dfrac{5}{6}$

The probability of getting a 4 is 1 out of 6 = $\dfrac{1}{6}$

The probability of getting a 4 only on the last roll is:

NOT 4 and NOT 4 and NOT 4 and Yes 4

$\dfrac{5}{6}$ x $\dfrac{5}{6}$ x $\dfrac{5}{6}$ x $\dfrac{1}{6}$ = $\dfrac{5^3}{6^4}= \dfrac{125}{1296}$

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2 years ago