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xenn [34]
2 years ago
8

What is the value of the expression below? (8^2/3)^1/2 A. 4 B. 1 C.2 D.8

Mathematics
1 answer:
CaHeK987 [17]2 years ago
4 0

The value of the given expression is 2. The correct option is C.2

<h3>Simplifying an Expression </h3>

From the question, we are to determine the value of the given expression

The given expression is

(8^2/3)^1/2

This can be properly written as

(8^{2/3})^{1/2}

First, clear the bracket by multiplying the powers

That is,
8^{\frac{2}{3}\times \frac{1}{2}  }

Simplifying, we get

8^{\frac{1}{3} }

This becomes

\sqrt[3]{8}

= 2

Hence, the value of the expression is 2. The correct option is C.2

Learn more on Simplifying an expression here: brainly.com/question/13009179

SPJ1

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In the 1990s the demand for personal computers in the home went up with household income. For a given community in the 1990s, th
WITCHER [35]

Answer:

a) 0.5198 computers per household

b) 0.01153 computers

Step-by-step explanation:

Given:

number of computers in a home,

q = 0.3458 ln x - 3.045 ;   10,000 ≤ x ≤ 125,000

here x is mean household income

mean income = $30,000

increasing rate, \frac{dx}{dt} = $1,000

Now,

a) computers per household are

since,

mean income of  $30,000 lies in the range of 10,000 ≤ x ≤ 125,000

thus,

q = 0.3458 ln(30,000) - 3.045

or

q = 0.5198 computers per household

b) Rate of increase in computers i.e \frac{dq}{dt}

\frac{dq}{dt} = \frac{d(0.3458 ln x - 3.045)}{dt}

or

\frac{dq}{dt}=0.3458\times(\frac{1}{x})\frac{dx}{dt} - 0

on substituting the values, we get

\frac{dq}{dt}=0.3458\times(\frac{1}{30,000})\times1,000

or

= 0.01153 computers

6 0
3 years ago
This system of equations has an infinite number of solutions. Define the solutions algebraically, and allow z to represent all r
Soloha48 [4]

Answer:

x = 12z + 1  and y = 10z - 1

Step-by-step explanation:

To solve the system of equations, we can use the substitution method

If we call

3x - 4y + 4z = 7 I

x - y - 2z = 2 II

2x - 3y + 6z = 5 III

Clearing II  x = 2 + y + 2z

Now, replacing II in III

2(2 + y + 2z) - 3y +6z = 5

4 + 2y + 4z - 3y + 6z = 5

10z - y = 1 from here y = 10z - 1

Finally, replacing y in I

3x - 4(10z - 1) + 4z = 7

3x -40z + 4 + 4z = 7

3x - 36z = 3

3x = 36z + 3

x = 12z + 1

Done

7 0
3 years ago
PLz help me
zysi [14]

Answer:

The laboure was charging 22% per hour

Step-by-step explanation:

8 0
3 years ago
-4x+6+30 for some value of x, what is the value of -2x+5, for the same value of x?
lana66690 [7]

Answer:

The value of X is 15.5.

7 0
3 years ago
How to solve 3(2x-7)=5x+4
notka56 [123]
You have to start by using the distributive property on the left side.
3(2x-7)=5x+4
6x-21=5x+4    Then remove and combine alike terms.
    +21      +21
6x=5x+25
-5x  -5x
x=25
3 0
3 years ago
Read 2 more answers
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