MATHEMATICS HIGH SCHOOL

What is 194 in radical form

Answers

Answer 1

Answer:

The radical form of 194 = √2 x √97

To find the radical form of 194,

we need to factorize it into its prime factors.

So, let's start by dividing 194 by the smallest prime factor, which is 2,

⇒ 194 ÷ 2 = 97

We can see that 97 is a prime number,

so we can't divide it any further.

Therefore, the prime factorization of 194 is,

⇒ 194 = 2 x 97

Now, we can write the radical form of 194,

⇒√194 = √(2 x 97)

We can simplify this expression by breaking it down into the product of two separate square roots:

⇒ √(2 x 97) = √2 x √97

⇒The radical form of 194 is √2 x √97.

To learn more about radical form visit:

brainly.com/question/29052172

#SPJ6

Answer 2

Answer: 194 in radical form is just √194. I don't believe any square roots go into it. Hope that helps. :)

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| x - 42.04 | = 23.24

Answers

|x - 42.04| = 23.24
|x - 42.04| = ±23.24
|x - 42.04| = 23.04 U |x - 42.04| = -23.04
x - 42.04 = 23.04    U    x - 42.04 = -23.04
    + 42.04 + 42.04 + 42.04   + 42.04
      x = 65.05    U    x = 19

Assume that women's heights are normally distributed with a mean given by u = 64.3 in, and a standard deviation given by 0 = 2.7 in. (a) f 1 woman is randomly selected, find the probability that her height is less than 65 in. (b) if 43 women are randomly selected, find the probability that they have a mean heightless than 65 in. (a) The probability is approximately I. (Round to four decimal places as needed.) 4

Answers

Answer:

0.9533

Step-by-step explanation:

(a) Probability that a randomly selected woman's height is less than 65 inches:

Using the z-score formula:

�

−

�

X−μ

Where:

�

X = 65 inches

�

μ = 64.3 inches

�

σ = 2.7 inches

�

−

64.3

2.7

≈

0.2593

2.7

65−64.3

≈0.2593

Now, find the probability associated with this z-score, which is approximately 0.6010 (rounded to four decimal places).

(b) Probability that the mean height of 43 randomly selected women is less than 65 inches:

Using the Central Limit Theorem:

�

μ (mean of the sample means) remains 64.3 inches.

�

sample mean

(standard deviation of the sample means) is calculated as

2.7

≈

0.4115

2.7

≈0.4115.

Now, find the z-score for a sample mean of 65 inches:

�

−

64.3

0.4115

≈

1.6924

0.4115

65−64.3

≈1.6924

The probability associated with this z-score is approximately 0.9533 (rounded to four decimal places).

A four-sided polygon has these properties of rotation and reflection:When it rotates 360°, it maps onto itself at four different angles of rotation.
It can be reflected onto itself across four different lines of reflection.
Which kind of polygon must it be?

Answers

A square of course fits the description.

it would be a square had some research

A number increased by seven is 15

Answers

Answer:

The number is 8.

To solve this equation, we can set it up as follows:

Let x be the unknown number.

The equation "A number increased by seven is 15" can be written as:

x + 7 = 15

Now, to find the value of x, we need to isolate it on one side of the equation. We can do this by subtracting 7 from both sides of the equation:

x + 7 - 7 = 15 - 7

On the left side, the +7 and -7 cancel out, leaving us with just x:

x = 15 - 7

Now, simplify the right side of the equation:

x = 8

So, the unknown number is 8.

To write the expression, I'll follow these steps :

↠ First, I am going to choose a letter that will represent my number.

↠ Then I'll plug it into the expression, and write the rest.

STEP ONE

I'll choose d for my number.

STEP TWO

We now have : d increased by 7 is 15, which is the same thing as d + 7 = 15.

To find d, subtract 7 from both sides :

d = 15 - 7 = 8

Therefore, d = 8.

What is the product of 2x + y and 5x – y + 3?

Answers

Answer: The required product is $10x^2-y^2+3xy+6x+3y.$

Step-by-step explanation: We are to find the product f the following two algebraic expressions:

$E_1=2x+y,\n\nE_2=5x-y+3.$

To find the product of the above two expressions, we must multiply each term of the first expression with each term of the second expression.

The multiplication is as follows:

$M\n\n=E_1 * E_2\n\n=(2x+y)*(5x-y+3)\n\n=10x^2-2xy+6x+5xy-y^2+3y\n\n=10x^2-y^2+3xy+6x+3y.$

Thus, the required product is $10x^2-y^2+3xy+6x+3y.$

Answer: $10x^2-y^2+3xy+6x+3y$

Step-by-step explanation:

Given expressions are 2x+ y and 5x -y +3

Product of 2x+y and 5x-y+3 is

$(2x+y)* (5x-y+3) = 2x* (5x-y+3) + y* (5x-y+3)$ ( by applying distributive property under multiplication over addition)

⇒ $(2x+y)* (5x-y+3) = 10x^2-2xy+6x+5xy-y^2+3y$ (again by distributive property)

⇒ $(2x+y)* (5x-y+3) = 10x^2-y^2+3xy+6x+3y$ ( by operating the like terms.)

What is the additive inverse of the polynomial –9xy2 + 6x2y – 5x3?

Answers

Answer:

The additive inverse of given expression is $9xy^2-6x^2y+5x^3$ .

Step-by-step explanation:

The given polynomial is

$-9xy^2+6x^2y-5x^3$

Let a be any number and b is its additive inverse, then

$a+b=0$

$b=-a$

The value of b is equal to -a. It means the additive inverse of a is -a.

The additive inverse of given expression is

$-(-9xy^2+6x^2y-5x^3)=9xy^2-6x^2y+5x^3$

Therefore the additive inverse of given expression is $9xy^2-6x^2y+5x^3$ .

Additive inverse of 9xy² + 6x²y - 5x³

-1(9xy² + 6x²y - 5x³) ⇒ (-1)(9xy²) + (-1)(6x²y) + (-1)(-5x³)

-9xy² - 6x²y + 5x³ is the additive inverse of the given polynomial.

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