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3 years ago

Which decimals in the list are repeating decimals

Mathematics

2 answers:

sergiy2304 [10]3 years ago

8 0

Answer:

$\frac{1}{3}$

Step-by-step explanation:

$\frac{1}{3}$

= 0.3333333333333333

Troyanec [42]3 years ago

6 0

Answer:

5/6 4/15 1/3

Step-by-step explanation:

on a calculator divide the numerator by the denominator.

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he radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the bones from a mastodon had lost

elena-s [515]

Answer:

The bones were 12,485 years old at the time they were discovered.

Step-by-step explanation:

Amount of the element:

The amount of the element after t years is given by the following equation, considering the decay rate proportional to the amount present:

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

In which A(0) is the initial amount and k is the decay rate, as a decimal.

The radioactive element carbon-14 has a half-life of 5750 years.

This means that $A(5750) = 0.5A(0)$ , and we use this to find k. So

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

$0.5A(0) = A(0)e^{-5750k}$

$e^{-5750k} = 0.5$

$\ln{e^{-5750k}} = \ln{0.5}$

$-5750k = \ln{0.5}$

$k = -\frac{\ln{0.5}}{5750}$

$k = 0.00012054733$

$A(t) = A(0)e^{-0.00012054733t}$

A scientist determined that the bones from a mastodon had lost 77.8 % of their carbon-14. How old were the bones at the time they were discovered?

Had 100 - 77.8 = 22.2% remaining, so this is t for which:

$A(t) = 0.222A(0)$

Then

$0.222A(0) = A(0)e^{-0.00012054733t}$

$e^{-0.00012054733t} = 0.222$

$\ln{e^{-0.00012054733t}} = \ln{0.222}$

$-0.00012054733t = \ln{0.222}$

$t = -\frac{\ln{0.222}}{0.00012054733}$

$t = 12485$

The bones were 12,485 years old at the time they were discovered.

8 0

3 years ago

Henry is playing with a standard deck of cards what is the probability that the next card he flips over is a jack or red?

sdas [7]

There are 52 cards, 4 jacks and 26 reds

8 0

3 years ago

Tyrone had $17,000 to invest. He invested part of that amount at 2.5% annual interest for one year and the other part at 6.5% an

Morgarella [4.7K]

Answer:

The system of equations best represents the situation

x + y = 17,000.... Equation 1

0.025x + 0.065y = 550... Equation 2

Step-by-step explanation:

Let

x represent the amount of money invested in the first account and

y represent the amount of money invested in the second account.

We are told that:

Tyrone had $17,000 to invest.

Hence,

x + y = $17,000

x + y = 17,000..... Equation 1

We also known that:

He invested part of that amount at 2.5% annual interest for one year and the other part at 6.5% annual interest for one year. The amount of interest earned for both investments was $550

The formula for Interest =

Principal(Amount invested) × Rate × Time.

Hence:

25% × x + 6.5% × y = 550

0.025x + 0.065y = 550... Equation 2

The system of equations best represents the situation

x + y = 17,000.... Equation 1

0.025x + 0.065y = 550... Equation 2

4 0

3 years ago

What is volume triangluar prism width of 6, length of 5, and a height of 13

Bess [88]

Answer:

4h﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4

Step-by-step explanation:

I don’t really know how to explain it’s sry.

4 0

3 years ago

Which functions are nonlinear? Select TWO that apply.

Annette [7]

Answer:

A,B

Step-by-step explanation:

I think bc I had the same question well something like this in A in B was it

8 0

3 years ago