<img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D%20%5E2%3D16" id="TexFormula1" title="\sqrt{x} ^2=16" alt="\sqrt{x} ^2=16" align

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Mrrafil [7]

3 years ago

="absmiddle" class="latex-formula">

Mathematics

1 answer:

inn [45]3 years ago

5 0

Step-by-step explanation:

$({ \sqrt{x} }^{2}) = 16 \\ \sqrt{x } = \sqrt{16} \\ \\ sqrt \: root \: will \: be \: cancelled \\ so \: \\ x \: \: = 16$

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Simplify the expression. (X^2/5)^10

Rashid [163]

Will multiple the exponents and the answer x^4

3 0

3 years ago

need help to determine if it's a undefined slope or it is a slope of line and what's the answer please and thank you

ICE Princess25 [194]

Answer:

It is slope of a line which is 4

Step-by-step explanation:

We are given that the given points are generated by a linear function. A linear function is ta straight line that can be represented by:

$y = mx+b$

Here m is the slope

The slope of a line is given by the formula:

$m = \frac{y_2-y_1}{x_2-x_1}$

In order to find the slope from the table we take any two pairs of inputs and outputs i.e. x and y

So here we take

(x1,y1) = (-6,-16)

(x2,y2) = (-5,-12)

Putting the values in the formula

$m = \frac{-12-(-16)}{-5-(-6)}\\m = \frac{-12+16}{-5+6}\\m = \frac{4}{1}\\m = 4$

Hence,

It is slope of a line which is 4

4 0

3 years ago

Suppose the force acting on a column that helps to support a building is a normally distributed random variable X with mean valu

Sauron [17]

Answer:

(1) 0.4207

(2) 0.7799

Step-by-step explanation:

Given,

Mean value,

$\mu = 15.0$

Standard deviation,

$\sigma = 1.25$

(1) P(X ≥ 17.5) = 1 - P( X ≤ 17.5)

$= 1- P(\frac{x-\mu}{\sigma} \leq \frac{17.5-\mu}{\sigma})$

$=1-P(z\leq \frac{17.5 - 15}{1.25})$

$=1-P(z\leq \frac{2.5}{1.25})$

$=1-P(z\leq 2)$

$=1- 0.5793$ ( By using z-score table )

= 0.4207

(2) P(14 ≤ X ≤ 18) = P(X ≤ 18) - P(X ≤ 14)

$=P(z\leq \frac{18 - 15}{1.25}) - P(z\leq \frac{14 - 15}{1.25})$

$=P(z\leq \frac{3}{1.25}) - P(z\leq -\frac{1}{1.25})$

$=P(z\leq 2.4) - P(z\leq -0.8)$

= 0.9918 - 0.2119

= 0.7799

8 0

3 years ago

What is the LCD of 4 and 5? 13 21 42 36

Elis [28]

It’s 20
i’m not sure if you meant to put 20 or 21 but the answer is 20

8 0

3 years ago

Read 2 more answers

A man in a rowboat that is a = 2 miles from the nearest point A on a straight shoreline wishes to reach a house located at a poi

Anni [7]

Alright, so by creating a right triangle with side a, point A, and point P,we can get that a^2+A^2 (if A is the distance from A to P) = P^2 (if P is the distance from P to the rowboat) using the Pythagorean Theorem. After that, we know that he will walk x miles to point B. Since b is A+x, we know that b=A+x and
b-x=A by subtracting x from both sides. Therefore, a^2+(b-x)^2=P^2 and by plugging a=2 and b=8 in, we get 2^2+(8-x)^2=P^2. To find out P, we square root both sides, getting P= sqrt(4+(8-x)^2). Since the man rows 2 miles per hour, we can divide P by 2 to get how much time it takes for him to travel to point P, resulting in sqrt(4+(8-x)^2)/2. In addition, we can divide x by 4 as the man walks 4 miles per hour, getting x/4. Adding them up, we get
sqrt(4+(8-x)^2)/2+x/4 as the amount of time it will take to get to point B

3 0

4 years ago