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3 years ago

Help me which one is a linear fUnction

Mathematics

2 answers:

horsena [70]3 years ago

4 0

Answer:

Step-by-step explanation:

trapecia [35]3 years ago

4 0

Pretty sure it’s B!

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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.

6 0

3 years ago

A parabola is represented by the equation y2 = 5x. which equation represents the directrix?

ivann1987 [24]

The value of the directrix is -5/4.

According to the statement

we have given that the equation of parabola is y2 = 5x. And we have to find that the which equation represents the directrix.

We know that the general equation of parabola is

(y - k)2 = 4a(x - h) -(1)

and given parabola equation is

y2 = 5x. -(2)

After comparing the both equations we get k=0 and h=0

And the formula to find the directrix is

x = h - a

Substitute the values of h and a in it then

x = 0-5/4

x = -5/4.

Here the directrix is -5/4.

So, The value of the directrix is -5/4.

Learn more about the Parabola here brainly.com/question/4061870

#SPJ4

7 0

2 years ago

5+14a=9a - 5 <br><br><br> Please help

posledela

Answer:

a=2

Step-by-step explanation:

5+14a=9a-5 subtract 9a from both sides

5+5a=-5 subtract 5 from both sides

5a=-10 divide by 5 on both sides

a=-2

hope you do well :)

8 0

3 years ago

Carrie has 2 meters of ribbon. She cuts off pieces of ribbon that are 5/10 meter, 1/10 meter, and 7/10 meter. How long is the re

vekshin1

Answer:

$\frac{7}{10}$

Step-by-step explanation:

Carrie has 2 meters of ribbon. She cuts off pieces of ribbon that are 5/10 meter, 1/10 meter, and 7/10 meter

Lets add all the cut of pieces and subtract it from 2 meters

$\frac{5}{10} +\frac{1}{10}+\frac{7}{10}=\frac{13}{10}$

Now we subtract 13/10 from 2 meters

$2 - \frac{13}{10}$

To subtract , make the denominator same

$\frac{2*10}{1*10} - \frac{13}{10}=\frac{20}{10} - \frac{13}{10}=\frac{7}{10}$

7/10 meter is the remaining piece of ribbon

8 0

4 years ago

According to Wine-Searcher, wine critics generally use a wine-scoring scale to communicate their opinions on the relative qualit

antiseptic1488 [7]

Answer:

$\=x=82$

Step-by-step explanation:

From the question we are told that:

Data

$\begin{center}\begin{tabular}{ |c|c|c|c|c|c| } 87& 91& 86& 82& 72&91 \\ 60& 77& 80& 79& 83&96 \end{tabular}\end{center}$

Generally the equation for Point estimate $\=x$ is mathematically given by

$\=x=\frac{\sum_x}{n}$

$\=x=\frac{87 +91+ 86+ 82 +72 +91+ 60+ 77 +80+ 79+ 83 +96}{12}$

$\=x=\frac{984}{12}$

$\=x=82$

4 0

3 years ago