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yKpoI14uk [10]
3 years ago
15

What is -1/3, -4/5, 1/7 in order from least to greatest

Mathematics
1 answer:
makkiz [27]3 years ago
8 0

Answer:

1/7<1/3<4/5

Step-by-step explanation:

Divide the numerator by the denominator To see which is greater than double the numerator and see if the results is greater than the denominator

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The population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year. A) Estimate how lo
VLD [36.1K]

Answer:

A) 63.36 years.

B) 100.42 years.

Step-by-step explanation:

We have been given that the population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year.

A) Since we know that population increases exponentially, therefore we will use our given information to form an exponential model for population increase and then we will solve for the time by which our population will be double.

P(t)=7.1(1.011)^{t}            

7.1 \times 2=7.1(1.011)^{t}  

\frac{7.1 \times 2}{7.1} =(1.011)^{t}

2 =(1.011)^{t}

Now let us solve for t using logarithm.

ln(2) =ln (1.011)^{t}      

ln(2) =t \cdot ln(1.011)

0.6931471805599453 =t \cdot 0.0109399400383344  

t=\frac{0.6931471805599453}{0.0109399400383344}

t=63.3593217267282743049\approx 63.36

Therefore, it will take 63.36 years the population to be double.

B) Now we will find the number of years it will take the population to be triple of its size.

7.1 \times 3=7.1(1.011)^{t}

\frac{7.1 \times 3}{7.1} =(1.011)^{t}  

3 =(1.011)^{t}

Now let us solve for t using logarithm.        

ln(3) =ln (1.011)^{t}

ln(3) =t \cdot ln(1.011)

1.0986122886681097 =t \cdot 0.0109399400383344  

t=\frac{1.0986122886681097}{0.0109399400383344}

t=100.4221490079915311298\approx 100.42

Therefore, it will take 100.42 years the population to triple of its size.


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3 years ago
Are these triangles similar?
Oxana [17]
Not similar is correct
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3 years ago
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Is it <br> a.x = _<br> b. the solution is all real numbers <br> c. there is no solution
Zielflug [23.3K]

The solution to the given algebraic equation 1000(7x - 10) = 50(292 + 100x) is; x = 12.3

<h3>How to simplify algebraic equations?</h3>

We want to simplify the algebraic equation;

1000(7x - 10) = 50(292 + 100x)

The first step is to use distributive property of equality to expand the bracket to get;

7000x - 10000 = 14600 + 5000x

7000x - 5000x = 14600 + 10000

2000x = 24600

Use division property of equality to divide both sides by 2000 to get;

x = 24600/2000

x = 12.3

Thus, we can conclude that the solution to the given algebraic equation 1000(7x - 10) = 50(292 + 100x) is; x = 12.3

Read more about algebraic equations at; brainly.com/question/723406

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7 0
1 year ago
1. Place a _____________ on the number line for the number in the expression.
nevsk [136]

Answer:

the answer is a equation

Step-by-step explanation:

because u supposed to make it a equation in order for it to be a expression.

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