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3 years ago

Simplify fully e x e x e x f/ e x e x f x f

Mathematics

1 answer:

mel-nik [20]3 years ago

6 0

Given:

The given expression is

$\dfrac{e\times e\times e\times f}{e\times e\times f\times f}$

To find:

The simplified form of given expression.

Solution:

We have,

$\dfrac{e\times e\times e\times f}{e\times e\times f\times f}$

The common factors in numerator and denominator are e, e, f.

Cancel out the common factors.

$=\dfrac{e}{f}$

Therefore, the required expression is $\dfrac{e}{f}$ .

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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

Jamie answered 68 out of 80 questions. What percentage represents the point number of questions she answered?

SIZIF [17.4K]

85% if the questions. You would take 68 and divide it by 80 to find the percentage of answered questions.

3 0

3 years ago

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Amélie runs a bakery. She wants to find out whether her cake sales are affected by the weather conditions. She recorded the dail

rodikova [14]

Answer:

the coeffiectans is 100

Step-by-step explanation:

4 0

3 years ago

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Witch set of orderd pairs contains only points that are on the graph of the function y=12-3x

anygoal [31]

You can try then by plotting the points in.
The answer is C

Make sure by plotting in the points, lets take (-5,27)
y = 12 -3(-5)
y = 12 + 15
y = 27
27 = 27
This is correct

Lets try (-1,15)
y = 12 -3(-1)
y = 12 + 3
y = 15
15 = 15
This is correct

Lets try (8,-12)
y = 12 -3(8)
y = 12 - 24
y = -12
-12 = -12
This is correct too.

The correct ordered pairs are <span>C(-5,27),(-1,15),(8,-12)</span>

5 0

3 years ago

Can anyone help me with these questions i will mark you as brainliest

Aliun [14]

Answer:

X= 38

Step-by-step explanation:

A straight line is 180⁰ so we can subtract that by 133⁰ to get the degree on the inside of the triangle which is 47. You then add 47 and 95 to get 142. To get x you subtract 142 from 180

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3 years ago