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3 years ago

12

Ty is solving a system of linear equations algebraically, and he concludes that there is no solution to the system. What solutio

n process result could have led him to make that conclusion?
A) x = 19

B) 101 = 19

C) 19 = 19

D) y = 19+1

1 answer:

nasty-shy [4]3 years ago

8 0

B) 101=19 this system has no solution because 101 and 19 are not equal to each other

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A fossil was analyzed and determined to have a carbon-14 level that is 80 % that of living organisms. the half-life of c-14 is 5

liq [111]

Answer:

The fossil is 1860 years old.

Step-by-step explanation:

The equation for the amount of fossil has the following format:

$Q(t) = Q(0)e^{rt}$

In which Q(t) is the amount after t years, Q(0) is the initial amount and r is the rate of change.

Half-life of c-14 is 5730 years.

This means that $Q(5730) = 0.5Q(0)$

So

$Q(t) = Q(0)e^{rt}$

$0.5Q(0) = Q(0)e^{5730r}$

$e^{5730r} = 0.5$

$\ln{e^{5730r}} = \ln{0.5}$

$5730r = \ln{0.5}$

$r = \frac{\ln{0.5}}{5730}$

$r = -0.00012$

So

$Q(t) = Q(0)e^{-0.00012t}$

How old is the fossil?

This is t for which

$Q(t) = 0.8Q(0)$

So

$Q(t) = Q(0)e^{-0.00012t}$

$0.8Q(0) = Q(0)e^{-0.00012t}$

$e^{-0.00012t} = 0.8$

$\ln{e^{-0.00012t}} = \ln{0.8}$

$-0.00012t = \ln{0.8}$

$t = -\frac{\ln{0.8}}{-0.00012}$

$t = 1860$

The fossil is 1860 years old.

4 0

2 years ago

A small group of students are aged 12, 14, 12, 15, 14, 13, 12, 12. What is their mean age?

Ilia_Sergeevich [38]

Answer:

12

Step-by-step explanation:

12 is the most number in the equation

5 0

3 years ago

Read 2 more answers

Pls help this is for math ill give a brainly

olasank [31]

Answer: The last one - 5 1/3 divided by 1/6

Step-by-step explanation:

since you are trying to figure out how much she runs a day, u divide

Hope this helps :)

6 0

2 years ago

Decide whether there is enough information to prove that ab. If so, state the theroem you would use.

Triss [41]

Answer - Yes, corresponding angles converse

5 0

2 years ago

The variables x and y have a quadratic relationship. Tripling the value of x causes the value of y to increase by a factor of ni

Lady bird [3.3K]

Answer:

<em>The value of y when x has a value of 9 is 18</em>

Step-by-step explanation:

<u>Functions</u>

The variables x and y are said to have a quadratic relationship. That information is not enough to set up a general equation for both variables.

Furthermore, we know that tripling the value of x causes the value of y to be multiplied by 9. That leads us to establish a proportional equation between them, as follows:

$y=kx^2$

Where k is an unknown constant.

Let's use the given point (3,2) to find the value of k:

$2=k(3)^2$

$2=9k$

Solving for k:

$\displaystyle k=\frac{2}{9}$

The equation is now:

$\displaystyle y=\frac{2}{9}x^2$

Now find y when x=9:

$\displaystyle y=\frac{2}{9}(9)^2$

$\displaystyle y=\frac{2}{9}\cdot 81=18$

The value of y when x has a value of 9 is 18

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3 years ago