All categories

3 years ago

If x^(3/2) = 64, find the value of 4x^(−3/4)

Mathematics

1 answer:

frez [133]3 years ago

3 0

Answer:

1/2

Step-by-step explanation:

x∧(3/2) = 64 = 8²

(3/2)Log₈ x = 2 Log₈ 8

Log₈ x = 4/3

x = 8∧(4/3)

Therefore

4* x∧(-3/4) = 4* 8∧(-1) = 4/8 = 1/2 = 0.5

You might be interested in

Help me please with this question

Gelneren [198K]

You could go both ways with this question, and they're both true:

-- circle "greatest" in both places;

-- circle "least" in both places; also true, but whatever the numbers are,
their least common factor is always ' 1 ', so it's not very useful.

6 0

3 years ago

An online furniture store sells chairs for $200 each and tables for $750 each.

sasho [114]

So I hope this helps and is exactly what you are looking for

7 0

3 years ago

Anyone please???????

leva [86]

Answer:

$\boxed{\sf B)\: x=\sqrt{17}}$

Step-by-step explanation:

<u>Use the Pythagorean Theorem</u>

The equation for the Pythagorean Theorem is $\tt a^2+b^2=c^2$

* a and b are the lengths of the legs, and c is the hypotenuse.*

(To know which side is the hypotenuse look at longest side which is across the right angle).

a= x, b=8, c=9

$\sf a^2+b^2=c^2$

Let's Plug in the side lengths:

$\sf x^2+8^2=9^2$

Evaluate 8^2 and 9^2:

$\sf x^2+64=81$

Subtract 64 from both sides:

$\sf x^2+64-64=81-64$

$\sf x^2=17$

Take the square root of both sides:

$\sf x=\sqrt{17}$

___________________________

5 0

3 years ago

Read 2 more answers

Identify the rational and irrational numbers <br>1.√3/5 <br>2.√7/2<br>3.5-√5<br>4.10/30

Anastaziya [24]

Step-by-step explanation:

<h2>Step-by-step explanation:1) Irrational number</h2><h2>2) Irrational number</h2><h2>3) Irrational number</h2><h2>4) Rational Number</h2>

5 0

3 years ago

Which Expressions are equivalent to:<br> 3(2/3p + 3 - 1/3p - 5)<br> Picture is provided

Gennadij [26K]

Answer:

the answers are p - 6, 3 (1/3p + 3 - 5), and 3 (1/3p - 2)

3 0

3 years ago