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2 years ago

PLEASE HELP NEED ANSWER NOW!!!! what is the graph of this function?

Mathematics

1 answer:

Shtirlitz [24]2 years ago

3 0

Its the purple graph that looks like a upside down V because all the values are negative due to the "-" being outside the absolute value symbols.

you can also graph it as y=-|x|

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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 $Q(5730) = 0.5Q(0)$

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

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

$e^{5730r} = 0.5$

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

$5730r = \ln{0.5}$

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

$r = -0.00012$

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

How old is the fossil?

This is t for which

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

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

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

$e^{-0.00012t} = 0.8$

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

$-0.00012t = \ln{0.8}$

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

$t = 1860$

The fossil is 1860 years old.

4 0

2 years ago

An ostrich can run 25 miles in 40 minutes. How many minutes will it take the ostrich to run 40 miles if it runs at the same spee

fenix001 [56]

The Ostrich will take 64 minutes to cover 40 miles.

Data;

rate = 25 miles in 40 minute

To calculate the time it will take the ostrich to cover 40 miles, we have to compare it with the rate (speed).

$25mi = 40 min\\40 mi = x min$

Cross multiply both sides

$x * 25 =40 * 40$

simplify the value

$x*25=40*40\\25x = 1600\\$

divide both sides by the coefficient of x

$25x = 1600\\25x/25 = 1600/25\\x = 64$

From the calculations above, it would take the ostrich 64 minutes to cover 40 miles.

Learn more on rates here;

brainly.com/question/8728504

6 0

2 years ago

The question is

PilotLPTM [1.2K]

The unknown side lengths are

Large triangle 10

Medium triangle 2

Small triangle 12/5 or 2.4

Step-by-step explanation:

EFD to ABC is 0.4 or 2/5

EFD to GHI is 0.24 or 6/25

ABC to GHI is 0.6 or 6/10

5 0

2 years ago

15x+5y=30 with y by itself

SCORPION-xisa [38]

Answer:

15 x 1 + 5 x 3 = 30

Step-by-step explanation:

If you turn the x into a one then it multiplies 15 by one and then it remains at 15, then you multiply 5 and 3 so that's 15 and then 15 + 15 is 30.

3 0

3 years ago

Read 2 more answers

Mathematics, 04.03.2020 23:32 jtoole5341 DIVISION OF PROFITS Tom 20% Ellen 30% Sarah 25% Joel 25% Tom, Joel, Sarah, and Ellen di

inn [45]

9514 1404 393

Answer:

$738

Step-by-step explanation:

The ratio of Ellen's share (e) to Tom's share is ...

30%/20% = e/492

Multiplying by 492, we have ...

e = 492(3/2) = 738

Ellen's share of the profits is $738.

8 0

2 years ago