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2 years ago

Evaluate: (9/64)^1/2

Mathematics

2 answers:

Zarrin [17]2 years ago

4 0

Answer:

3/8

Step-by-step explanation:

If 1/2 is an exponent, it is essentially taking the square roots of the numbers. When you take the square root of a fraction, you take the roots of both the numerator and denominator.

Anna [14]2 years ago

3 0

Answer:

$\frac{3}{8}$

Step-by-step explanation:

Using the rules of exponents

$(a^m)^{n}$ = $a^{mn}$

$a^{\frac{1}{2} }$ = $\sqrt{a}$

Hence

$\frac{9^{\frac{1}{2} } }{64^{\frac{1}{2} } }$

= $\frac{\sqrt{9} }{\sqrt{64} }$ = $\frac{3}{8}$

You might be interested in

Select the best answer 7 x (-3) x (-2)^2=

vlada-n [284]

7(-3)(-2)²

-21(-2)²

-21(4)

= -84

I hope that's help !

6 0

3 years ago

A local library claims it has 2.73x103 books. If there are 42 people in the building, how many books per capita are there?

Marizza181 [45]

Answer:

63 books per capita in the library

Step-by-step explanation:

Given

$Books = 2.73 * 10^3$

$People = 43$

Required

Determine the book per capita

To do this, we simply divide the number of books by number of person;

$Average = \frac{Books}{People}$

$Average = \frac{2.73 * 10^3}{43}$

$Average = \frac{2.73 * 1000}{43}$

$Average = \frac{2730}{43}$

$Average = 63.488372093$

$Average = 63$ (Approximated)

Hence;

There are 63 books per capita in the library

7 0

2 years ago

The line is parallel to y= 2x + 1 and passes through point (-2,-1).

inessss [21]

Answer:

y = 2x + 3

Step-by-step explanation:

To find the equation of a line, you need 2 things:

1) gradient/slope

2) 1 set of x and y coordinates

To find the slope:

If 2 lines are parallel, they have exactly the same gradient.

So, this line will have a slope of 2 as well (the slope of a line is the coefficient of x in the equation).

To find the equation of the line:

Start with this generic equation:

y - y1 = m (x-x1)

We know that:

(x1, y1) -> (-2, -1) and m= 2

So, we can substitute for the equation:

y- (-1) = 2 (x -(-2))

Simplify, by expanding the brackets:

y + 1= 2 (x+2)

y + 1 = 2x + 4

Rearrange for y:

y = 2x + 3

To double check:

1) The coefficient of x is the slope, we have 2x and the slop is 2, so that's correct

2) Sub in x= -2, and you should get y=-1

y = -4 + 3 = -1, so that's correct too

Hope that helped : )

7 0

3 years ago

In 20X1, Ginzel Corporation agreed to provide a client with 20 detailed marketing analyses of its client's key products for a to

elixir [45]

Answer:

$38,500
$1,400

Step-by-step explanation:

1. According to the Accrual Principle of Accounting, revenue should only recognized when the goods or services for which it was paid for have been delivered. In other words, revenue should only be recognized when earned.

As of December 1, 20X1, Ginzel had only completed 7 of the 20 reports so the revenue recognized should be for the completed reports alone.

Total revenue for 20 reports = $110,000

Revenue for 7 reports = 7/ 20 * 110,000

= $38,500

2. The Accrual principle also applies to expenses and states that expenses should only be accounted for when incurred. As the $4,000 relates to all the reports, it should be apportioned evenly.

The costs of extraction and conversion of data for the year should therefore be;

= 7/20 * 4,000

= $1,400

7 0

2 years ago

Solve this quadratic equation

trasher [3.6K]

Answer:

https://www.symbolab.com/solver/step-by-step/x%5E%7B2%7D%20%2B5x%2B3%3D0

Step-by-step explanation:

3 0

3 years ago