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3 years ago

Please answer these three questions. There are 3 images attached below and they apply to each question, in order.

Mathematics

1 answer:

statuscvo [17]3 years ago

7 0

1a. It is because each x only has 1 y and it has an equation
1b. It is not a function because each x has more than 1 y.
1c. It is not a function because there can be no equation written for this graph.

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there are 700 lockers on the 6th grade hallway. three fifths of the lockers are being used. how many lockers are not being used

Tasya [4]

Answer: 280 lockers

Step-by-step explanation:

3/5*700= 420 so 420 are being used and 700-420=280 lockers not in use

8 0

2 years ago

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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

3 years ago

5X3X17X200X1,098<br><br><br> the X's are multiplication symbols

Sladkaya [172]

Answer:

55998000

Step-by-step explanation:

When you take 5 time 3 you get 15

Then you take 15 and times that by 17 and get 225

then you take that and multiply that to 200 and get 5100

Finally you multiply 5100 to 1098 and get 5598000

3 0

2 years ago

Substract 11 3/4 - 9 8/15

Tju [1.3M]

Answer:

2 and 13/60

Step-by-step explanation:

First, we must create a common denominator in the fractions. For the given denominators, it would be 60, so 3/4 would be 45/60 and 8/15 would be 32/60. From here, we can just subtract and get 2 and 13/60.

Hope this helps!

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3 years ago

Arithmetic, geometric, or neither 16,21,26,31...

SVETLANKA909090 [29]

Answer:

Arithmetic

Step-by-step explanation:

7 0

3 years ago

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