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Xelga [282]
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
Mathematics
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

3 0
3 years ago
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