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3 years ago

10

Write the system of equations corresponding to the augmented matrix shown below ⎡⎣⎢⎢−8−2150−9−6−11−21−1⎤⎦⎥⎥ Note: Write an equat

ion in each answer field and do not solve the system.

1 answer:

olganol [36]3 years ago

6 0

Answer:

idk sry search it up

on photo math just take a pic and it will give you the answer

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The Weights Of Adult Men In A Hypothetical Population Are Approximately Normally Distributed About A Mean Of 175 Lbs. With A Sta

Vanyuwa [196]

In normal distributions, the 95th percentile means that a value exists within 2 standard deviations of the mean.

The mean is 175 Lbs and SD is 15 Lbs. This means that Harvey's weight will be within 2 standard deviations (each way) of the mean. I.e. his weight will be in the range 145 - 205 Lbs.

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3 years ago

Find the equation of the line which passes through the point (7,2) and is perpendicular to y=5x-2

MariettaO [177]

Answer:

$\displaystyle y=-\frac{1}{5}x+\frac{17}{5}$

Step-by-step explanation:

<u>Equation of a line</u>

A line can be represented by an equation of the form

$y=mx+b$

Where x is the independent variable, m is the slope of the line, b is the y-intercept and y is the dependent variable.

We need to find the equation of the line passing through the point (7,2) and is perpendicular to the line y=5x-2.

Two lines with slopes m1 and m2 are perpendicular if:

$m_1.m_2=-1$

The given line has a slope m1=5, thus the slope of our required line is:

$\displaystyle m_2=-\frac{1}{m_1}=-\frac{1}{5}$

The equation of the line now can be expressed as:

$\displaystyle y=-\frac{1}{5}x+b$

We need to find the value of b, which can be done by using the point (7,2):

$\displaystyle 2=-\frac{1}{5}*7+b$

Operating:

$\displaystyle 2=-\frac{7}{5}+b$

Multiplying by 5:

$10=-7+5b$

Operating:

$10+7=5b$

Solving for b:

$\displaystyle b=\frac{17}{5}$

The equation of the line is:

$\boxed{\displaystyle y=-\frac{1}{5}x+\frac{17}{5}}$

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3 years ago

Find the missing measurement for each figure.

earnstyle [38]

To find h, divide the area by the base:

h = 2442 / 12 = 203.5 km.

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3 years ago

The area of a square bedroom is 144 square feet. what is the length of one wall?

Rufina [12.5K]

The answer is: "12 feet" .
________________________________
Note: In a square, the length of EACH of the four sides of the square is the same.

Area = Length * width.

For a square, length = width.

So for a square, Area = length * width = (length of a side)² = s² ,

Given: A = s² = 144 ft² ;

Solve for the positive value of "s" .
________________________________
  → s² = 144 ft² ; Take the "square root" of each side ;

  → √(s²) = √(144 ft²) ;

  → s = 12 ft.
_______________________________
The answer is: 12 ft.
_______________________________

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3 years ago

What is the volume of a shipping cube with dimensions of 2 and 1/2 feet

Fantom [35]

For this case we have that by definition, the volume of a cube is given by:

$V = l ^ 3$

Where:

l: It's the side of the cube

According to the statement data:

$l = 2 \frac {1} {2} = \frac {2 * 2 + 1} {2} = \frac {5} {2}$

Substituting in the formula we have:

$V = (\frac {5} {2}) ^ 3\\V = \frac {5 ^ 3} {2 ^ 3}\\V = \frac {125} {8}\\V = 15.625$

Thus, the shipping cube volume is $15.625 \ ft ^ 3$

Answer:

$15.625 \ ft ^ 3$

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3 years ago