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Doss [256]
3 years ago
14

Solve the following system of equations using matrices.

Mathematics
1 answer:
Alecsey [184]3 years ago
5 0
It is convenient to let a calculator do the math.
.. (x, y) = (0, 3) . . . . . your 3rd selection

_____
I prefer using the RREF function to put the augmented matrix into reduced row-echelon form. If the equations are dependent or inconsistent, using that method tells you so without giving a matrix inversion error.

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Frequency (y) varies inversely with wavelength (x). Find the frequency (measured in THz ) of blue light if its k value is 175,72
horsena [70]

We have been that frequency (y) varies inversely with wavelength (x).

We know that two inversely proportional quantities are in form a=\frac{k}{b}, where a is inversely proportional to b and k is constant of variation.

Our required equation would be y=\frac{k}{x}.

To find frequency of blue light, we will substitute k=175,720 and x=230 in our equation as:

y=\frac{175,720}{230}

y=764

Therefore, the frequency of blue light is 764.

8 0
4 years ago
What is the value of [4-9472<br> 0 -36<br> 0-33<br> -32<br> 0-30
beks73 [17]

Answer:

Su búsqueda - ¿Cuál es el valor de [4-9472 0 -36 0-33-32 0-30 - no produjo ningún documento.

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Asegúrese de que todas las palabras estén escritas correctamente.

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Step-by-step explanation:

8 0
3 years ago
Find x and y 30 points
Vika [28.1K]

Since the two triangles are similar

\frac{5 + x}{5}  =  \frac{7 + y}{7}  =  \frac{10}{8}  \\ \implies \frac{5 + x}{5}  =  \frac{10}{8}  \\ \implies x =  \frac{50}{8}  - 5 =  \frac{50 - 40}{8}  =  \frac{10}{8}   =  \frac{5}{4} \\  \therefore x =   \frac{5}{4}

Also,

\\ \frac{7 + y}{7}  =  \frac{10}{8}  \\ \implies y =  \frac{70}{8}  - 7 =  \frac{70 - 56}{8}  \\  \therefore y =   \frac{14}{8}  =  \frac{7}{4}

7 0
3 years ago
Read 2 more answers
What is the solution to this equation? 2x - 5 + 3x = 35 A. x = 6 B. x = 8 C. x = 20 D. x = 15
maxonik [38]

Answer:

B. x = 8

Step-by-step explanation:

6 0
4 years ago
Need help please!! Will give points
Nataly [62]

Answer:

1. \bar X=5.10

2. \sigma=0.47

3.\sigma^2=0.22


Step-by-step explanation:

<u>QUESTION 1</u>

The given data set for the expenditure is

4.85,5.10,5.50,4.75,4.50,5.00,6.00

The formula for calculating the mean is given by,

\bar X=\frac{\sum x}{n}


We need to add all the expenditure and divide by the total number of days.

\bar X=\frac{4.85+5.10+5.50+4.75+4.50+5.00+6.00}{7}


This gives us,

\bar X=\frac{35.7}{7}


\Rightarrow \bar X=5.10 to the nearest hundredth.


<u>QUESTION 2</u>

The standard  deviation of the data set is given by the formula;


\sigma =\sqrt{\frac{\sum(x-\bar X)^2}{n} }


This implies that,

\sigma =\sqrt{\frac{(4.85-5.10)^2+(5.10-5.10)^2+(5.50-5.10)^2+(4.75-5.10)^2+(4.50-5.10)^2+(5.00-5.10)^2+(6.00-5.10)^2}{7} }


This will give us,

\sigma =\sqrt{\frac{(-0.25)^2+(0.00)^2+(0.40)^2+(-0.35)^2+(-0.60)^2+(-0.10)^2+(0.90)^2}{7} }


\sigma =\sqrt{\frac{0.0625+0+0.16+0.1225+0.36+0.01+0.81}{7} }


\sigma =\sqrt{\frac{61}{280} }


\sigma =0.466775

to the nearest hundredth,

\sigma =0.47.


<u>QUESTION 3</u>

The variance is the square of the standard deviation.


\sigma^2 =(0.46675)^2


\sigma^2 =0.217857


To the nearest hundred gives,

\sigma^2 =0.22











3 0
3 years ago
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