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3 years ago

What is the value of n? in the graph below

Mathematics

1 answer:

8_murik_8 [283]3 years ago

7 0

Answer:

Step-by-step explanation:

180-144=36

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What is the x-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:5?

Marianna [84]

Answer:

Second option is correct. The x-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:5 is -2.

Step-by-step explanation:

From the given graph it is noticed that the endpoints of the line segment JK are J(-6,-2) and K(8,-9).

The formula to find x intercept.

$x=\frac{m}{m+n}(x_2-x_1)+x_1$

The ratio is 2:5, therefore the value of m is 2 and the value of n is 5.

$x=\frac{2}{2+5}(8-(-6))+(-6)$

$x=\frac{2}{7}(14)-6$

$x=4-6$

$x=-2$

Therefore the x-coordinate is -2 and second option is correct.

6 0

3 years ago

Read 2 more answers

10. A perfect circle measuring 38 feet across was discovered on Brickell Avenue in Miami in 1998. Known as the Miami Circle at B

vivado [14]

Using an exponential function, it is found that the Tequesta settlement is 1845 years old.

<h3>What is an exponential function?</h3>

The exponential equation for a decaying amount of a substance is given by:

$A(t) = A(0)e^{-rt}$

In which:

A(0) is the initial value.

r is the decay rate, as a decimal.

Researching on the internet, the half-life of carbon 14 is of 5,730 years, hence A(5730) = 0.5A(0), which we use to find r.

$A(t) = A(0)e^{-rt}$

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

$e^{-5730r} = 0.5$

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

$5730r = -\ln{0.5}$

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

$r = 0.00012096809$

Hence, the equation is:

$A(t) = A(0)e^{-0.00012096809t}$

The wood chips were found to contain 80% of the atmospheric carbon-14, hence we have to find t for which A(t) = 0.8A(0).

$A(t) = A(0)e^{-0.00012096809t}$

$0.8A(0) = A(0)e^{-0.00012096809t}$

$e^{-0.00012096809t} = 0.8$

$\ln{e^{-0.00012096809t}} = \ln{0.8}$

$-0.00012096809t = \ln{0.8}$

$t = -\frac{\ln{0.8}}{0.00012096809}$

$t = 1845$

The Tequesta settlement is 1845 years old.

You can learn more about exponential functions at brainly.com/question/25537936

8 0

2 years ago

Where will her cut be located? Round to the nearest tenth. Genevieve is cutting a 60-inch piece of ribbon into a ratio of 2:3. S

Maksim231197 [3]

Answer:

25.2 in

Step-by-step explanation:

The short piece will have a length that is 2/(2+3) = 2/5 of the entire usable length. The usable length is 60-2 = 58 inches long, so the cut will be ...

(2/5)(58 in) = 23 1/5 in

from the beginning of the usable part. Since the usable part of the ribbon starts 2 inches in, the cut will be 23 1/5 + 2 = 25 1/5 inches from the frayed end of the ribbon.

3 0

4 years ago

Read 2 more answers

Please help I’ll mark Brainly please read the ? Before you answer it don’t say solve

Komok [63]

Answer:

6v+10

Step-by-step explanation:

hope this helped

can also write 6*v+10

4 0

3 years ago

Solve the system of equations below.

Vladimir79 [104]

Answer: y=6, x=2

Step-by-step explanation:

Substitute x=12-y/3

Isolate y, then you get 6 is y

x=12-3/3

x=2

7 0

3 years ago

What is the value of n? in the graph below​

What is the value of n? in the graph below