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vovangra [49]
3 years ago
7

what is the order from least to greatest - 4 with the exponent of 3, square root of 40, square root of 13, square root of 7, , 1

4 over 9
Mathematics
1 answer:
LuckyWell [14K]3 years ago
3 0

Answer: -4^{3} , 14/9 , \sqrt{7} , \sqrt{13} , \sqrt{40}

Step-by-step explanation:

-4^{3} = - 64

\sqrt{40} = 6.32455532

\sqrt{13} = 3.605551275

\sqrt{7} = 2.645751311

14/9  = 1.555555556

Arranging from least to greatest , we have :

-4^{3} , 14/9 , \sqrt{7} , \sqrt{13} , \sqrt{40}

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Consider the system of equations.
Harman [31]

The solution to the system of equations x + 2y = 1  and -3x-2y = 5 is:

x  = -3,  y = 2

The given system of equations:

x  +  2y  =  1............(1)

-3x - 2y  =  5..........(2)

This can be written in matrix form as shown:

\left[\begin{array}{ccc}1&2\\-3&-2\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}1\\5\end{array}\right]

Find the determinant of \left[\begin{array}{ccc}1&2\\-3&-2\end{array}\right]

\triangle = 1(-2) - 2(-3)\\\triangle = -2+6\\\triangle  = 4

\triangle_x = \left[\begin{array}{ccc}1&2\\5&-2\end{array}\right]\\\triangle_x = 1(-2)-2(5)\\\triangle_x = -2-10\\\triangle_x =-12

\triangle_y = \left[\begin{array}{ccc}1&1\\-3&5\end{array}\right]\\\triangle_y = 1(5)-1(-3)\\\triangle_y = 5 + 3\\\triangle_y =8

x = \frac{\triangle_x}{\triangle} \\x = \frac{-12}{4} \\x = -3

y = \frac{\triangle_y}{\triangle} \\y = \frac{8}{4} \\y = 2

The solution to the system of equations x + 2y = 1  and -3x-2y = 5 is:

x  = -3,  y = 2

Learn more here: brainly.com/question/4428059

3 0
3 years ago
For what values of the variables are the following expressions defined? 1. 5y+2 2. 18/y 3. 1/x+7 4. 2b/10−b Example: X>7
Serga [27]

Answer:

1. All real numbers

2. All real numbers except y = 0

3. All real numbers except x = -7

4. All real numbers except b = 10

Step-by-step explanation:

For any function to be defined at a particular value, it should not be <em>approaching to a value </em>\infty<em> or it should not give us the </em>\frac{0}{0}<em> (zero by zero) form </em> when the input is given to the function.

The value of function will depend on the denominator.

Now, let us consider the given functions one by one:

1. 5y+2

Here denominator is 1. So, it can not attain a value \infty or \frac{0}{0}<em> (zero by zero) form </em>

So, for all real numbers, the function is defined.

2.\ \dfrac{18}{y}

At y = 0, the value

At\ y =0,  \dfrac{18}{y} \rightarrow \infty

So, the given function is <em>defined for all real numbers except y = 0</em>

<em></em>

<em></em>3.\ \dfrac{1}{x+7}<em></em>

Let us consider denominator:

x + 7 can be zero at a value x = -7

At\ x =-7,  \dfrac{1}{x+7} \rightarrow \infty

So, the given function is <em>defined for all real numbers except x = -7</em>

<em></em>

4.\ \dfrac{2b}{10-b}

Let us consider denominator:

10-b can be zero at a value b = 10

At\ b =10,  \dfrac{2b}{10-b} \rightarrow \infty

So, the given function is <em>defined for all real numbers except b = 10</em>

<em></em>

7 0
3 years ago
A Parachutes speed during a freefall reaches 108 mph. What is the speed in feet per second? At this speed, how many feet with a
Slav-nsk [51]
The speed would be 158.4fps and the parachutist would fall 2,376 feet during 15 seconds.
7 0
3 years ago
A phone company advertises a new plan in which the customer pays a fixed amount
Irina-Kira [14]

Answer:

<h2>it will take 30 minutes</h2>

Step-by-step explanation:

obtain a formula

<h3>=> M = $0.10($p)+$25</h3>

<u>insert the value of p dollars</u>

<h3>=> M = $0.10(50) + 25</h3>

<u>multiply 50 by 0.10</u>

<h3>=> M = $5 + 25</h3>

<em> </em><u>add 25 + 5</u>

<h3><em><u>=></u></em> M = $30</h3>

<u>So it takes 30 minutes for international minutes</u> <em><u>Thank </u></em><em><u>You</u></em>

^_^

3 0
2 years ago
Nina and Luca were told to draw a net for the three-dimensional figure shown below. Which statement about the students' nets is
NISA [10]

Answer:

it was a three-dimensional figure

8 0
3 years ago
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