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2 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]2 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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Nick and his cousin Sara have the same birthday, but Nick is four years older than Sara. Let the variable X relresent Nick's age

Ronch [10]

Answer:

Let X represent Nick's age and Y represent Sara's age.

Then, it is given that: Nick is four years older than Sara.

We write the statement as:

$X=4+Y$

or $Y=X-4$

The only ordered pairs (X,Y) which satisfy the equation are: (0,-4) and (4,0) as you can see in the graph also.

In the graph X axis represents the age of Nick's age and Y-axis represent the age of Sara's age and the line Y=X-4 represents the relationship between the age of both.

6 0

3 years ago

What percent of 641 is 73?

alexira [117]

You can divide 73/641 to find the percent:

73/641 = 0.11388455...

It keeps going on so I'll stop there.

Now to make it into a percentage, multiple it by 100:

0.11388455 * 100 = 11.388455%

3 0

3 years ago

Read 2 more answers

onyango wishes to fence a rectangular research plot using 100 m of wire .one end of the plot has a wall already erected .calcula

earnstyle [38]

Answer:

1250 m²

Step-by-step explanation:

Let x and y denote the sides of the rectangular research plot.

Thus, area is;

A = xy

Now, we are told that end of the plot already has an erected wall. This means we are left with 3 sides to work with.

Thus, if y is the erected wall, and we are using 100m wire for the remaining sides, it means;

2x + y = 100

Thus, y = 100 - 2x

Since A = xy

We have; A = x(100 - 2x)

A = 100x - 2x²

At maximum area, dA/dx = 0.thus;

dA/dx = 100 - 4x

-4x + 100 = 0

4x = 100

x = 100/4

x = 25

Let's confirm if it is maximum from d²A/dx²

d²A/dx² = -4. This is less than 0 and thus it's maximum.

Let's plug in 25 for x in the area equation;

A_max = 25(100 - 2(25))

A_max = 1250 m²

5 0

3 years ago

Get 20 points, Plz help me with this question, and give the right answer cause it's important

Aliun [14]

Answer:

B, C, and D

Step-by-step explanation:

Just some simple maths, look at it like railroad tracks and act it out as such, with lines a and b being parallel. Angle 6 is 75, Angle 1 is 105

5 0

2 years ago

In 2006,the General Social Survey (which is conducted uses a method similar to simple random sampling) included a question that

mars1129 [50]

Answer:

Assumptions are not met. Can not make confidence interval.

Step-by-step explanation:

In the General Social Survey, sample size is 1514.

The proportion of those who see themselves social is $\frac{470}{1514}$ ≈ 0.31

To give an 95% confidence interval, we should be able to calculate margin of error of the sample mean, which is given by the formula

M± $z*\frac{s}{\sqrt{N} }$ where M is the mean of the sample (in the General Social Survey it is 0.31), z is z-score for the 95% confidence level(approx. 1.94), s is the standard deviation of the sample, N is the size of the sample(in this example it is 1514).

Since we don't know the standard deviation of the sample, we cannot give a confidence interval.

8 0

3 years ago