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3 years ago

Explain why the square root of a number is defined to be equal to that number to the 1/2 power.

2 answers:

8 0

This is essentially a rule in the unit of radicals, where n✔️X^m = X^m/n. If the value of m is equal to n, as in 2✔️3^2 it would simply be 3^2/2 which is nothing but 3^1 = 3. Basically, the m value can be greater than n and or less than n, but if it is equal the m and n values cancel out.

murzikaleks [220]3 years ago

5 0

Squaring and square root are inverses, so one should "undo" the other. That is, squaring the square root of a number results in the number. Using the power of a power rule, you multiply the exponents. Since a number to the first power is itself, the product of the exponents must equal 1. This means that the power of the square root must be the reciprocal of 2, or one half.

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A town's population has been growing linearly. In 2003 the population was 47,000. The population has been growing by 1200 people

blsea [12.9K]

Answer:

Step-by-step explanation:

The population in 2003= 47000

Since the population increase by 1200 every year,

in 2004 the population will be 47000+1200

in 2005 the population will be 47000+(1200+1200) which is the same as

47000+2(1200) where 2 is 2 years after 2003,

Therefore the population x years after 2003 is 47000+x(1200).

P= 47000+1200x

b) The population at 2009 which is 6 years after 2003 will be

47000+(1200)*6=47000+7200= 54200

The population at 2009 is 54200,

7 0

3 years ago

8) The sides of a flower garden are shown in the diagram below. What is the perimeter of the flower garden? 4m 2 m

jeka94

Answer:

18.28 m

Step-by-step explanation:

Given the flower garden in the question :

The shape is composite and can be divided into 2 semicirles and rectangle

The perimeter of a semicircle is the Circumference of the semicircle = πr

Hence, 2 semicirles = 2πr

Radius of semicircle = 2/2 = 1

Perimeter = 2 * 3.14 * 1² = 2 * 3.14 * 1 = 6.28 m

The perimeter of rectangle; length and width are 6m and 2 m respectively :

Perimeter of rectangle = 2(l + w) = 2(4+2) = 2(6) = 12m

Tve perimeter of garden = 6.28 + 12 = 18.28 m

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2 years ago

Lilith and her friend shared a pizza. Lilith ate two sixths of the pizza and her friend ate three sixths. How much pizza did the

Tcecarenko [31]

Step-by-step explanation:

$\frac{2}{6} + \frac{3}{6 } =$

2+ 3

_____________ =

____5___

6 0

1 year ago

What is the value of x to the nearest tenth?<br> A. 6.0<br> B. 13.4<br> C. 26.8<br> D. 30.0

lilavasa [31]

Use the Pythagorean theorem:

$\left(\dfrac{1}{2}x\right)^2+12^2=18^2\\\\\dfrac{1}{4}x^2+144=324\ \ \ |-144\\\\\dfrac{1}{4}x^2=180\ \ \ \ |\cdot4\\\\x^2=720\to x=\sqrt{720}\\\\\boxed{x\approx26.8}$

8 0

3 years ago

Slove:33/29=46/x. Try to find the answer.

Tju [1.3M]

Answer:

$x=40\frac{14}{33}$