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SashulF [63]
3 years ago
8

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Mathematics
1 answer:
photoshop1234 [79]3 years ago
3 0

Answer:

What?

Step-by-step explanation:

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Solve the following systems of 3-variable linear equations.​<br><br><br><br>50 points
Natali [406]

Answer:

x = 9/25

y = 7/25

z = 4/25

Step-by-step explanation:

2x + y = 1 .......(1)

3y + z = 1 ........(2)

x + 4z = 1 ........(3)

Elimination 1 and 2

2x + y = 1 | ×3 |

3y + z = 1 | ×1 |

6x + 3y = 3

3y + z = 1

___________--

6x - z = 2 .............. (4)

Elimination 3 and 4

x + 4z = 1 | ×6 |

6x - z = 2 | ×1 |

6x + 24z = 6

6x - z = 2

___________--

25z = 4

z = 4/25

Elimination 3 and 4

x + 4z = 1 | ×1 |

6x - z = 2 | ×4 |

x + 4z = 1

24x - 4z = 8

___________+

25x = 9

x = 9/25

Subsitution 1

2x + y = 1

2(9/25) + y = 1

18/25 + y = 1

y = 1 - 18/25

y = 25/25 - 18/25

y = 7/25

7 0
2 years ago
The amount of carbon-14 in an object is given by y = ae– 0.00012t where a is the initial amount of carbon and t is the age in ye
Reptile [31]

Answer:

The approximate age of the bone is approximately 11552 years.

Step-by-step explanation:

The current proportion of carbon-14 with respect to its original amount is defined by following formula:

\frac{y}{a} = e^{-0.00012\cdot t} (1)

Where:

y - Current amount of carbon-14, no unit.

a - Initial amount of carbon-14, no unit.

t - Time, in years.

If we know that \frac{y}{a} = 0.25, then the approximate age of the bone is:

t = -8333.333\cdot \ln \frac{y}{a}

t\approx 11552.453\,yr

The approximate age of the bone is approximately 11552 years.

4 0
2 years ago
How do you write an equation in standard form given point (2,2) (0,-4)
notka56 [123]

The point-slope form:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (2, 2) and (0, -4). Substitute:

m=\dfrac{-4-2}{0-2}=\dfrac{-6}{-2}=3\\\\y-2=3(x-2)

The standard form:

Ax+By=C


y-2=3(x-2)        <em>use distributive property</em>

y-2=3x-6          <em>add 6 to both sides</em>

y+4=3x        <em>subtract y from both sides</em>

4=3x-y

<h3>Answer: 3x - y = 4</h3>
6 0
3 years ago
joanne buys a rectangular rug with an area of 35/4 square meters. The length of the rug is 7/2 meters. What is thw width, in met
yuradex [85]
The width pf the rug is 15 meters
5 0
3 years ago
Order the following from greatest to least: -12,12,-19,1 and 1/2,5.....
den301095 [7]
-19, -12, 1/2, 1, 5, 12 ----> least to greatest
12, 5, 1, 1/2, -12, -19 ----> greatest to least

Do the same as the last one, starting with the largest negative number, and ending with the largest positive number.  The only difference in this case is that it is greatest to least.  I tend to go from least to greatest first and then flip it around to get greatest to least (:
3 0
3 years ago
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