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3 years ago

1/2 × 2 1/3 can u help

2 answers:

8 0

You are going to have to make 2 1/3 a improper fraction so how you do that is take 2×3=6+1=7 so it would be 7/3. 1/2×7/3=7/6 I think see if that works and if that don't help them flip 7/3 over because that is the reciprocal 3/7

lawyer [7]3 years ago

7 0

Thats easy its 7/6 hope this helps

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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

Which explicit formula describes the sequence use the picture for the full question

Murrr4er [49]

Answer:

A. aₙ = (2/7)ⁿ⁻¹

Step-by-step explanation:

According to sequence we observe:

the first term is a₁ = 1
the common ratio is r = 2/7

Equation of nth term of GP:

aₙ = a₁r°⁻¹

Substitute to get:

aₙ = 1*(2/7)ⁿ⁻¹ = (2/7)ⁿ⁻¹

Correct choice is A

7 0

2 years ago

25 hundredths in simplest form

IRISSAK [1]

.25 or 1/4 Is the simplest form

5 0

3 years ago

Read 2 more answers

Rob is making a tent out of canvas in the shape of a square pyramid. Each side of the square base is 6 feet long, and the height

Elena L [17]

The amount of balloons in the tent is 125.075 feet cube. From the given options, approximately, option D is correct

Solution:

Given, Rob is making a tent out of canvas in the shape of a square pyramid. Each side of the square base is 6 feet long, and the height is 6.3 feet.

Rob filled the tent with balloons,

We have to find which measurement BEST describes the amount of balloons in the tent?

As tent if filled with balloons the amount of balloons equals with volume of tent.

Volume of tent is given as:

$\text { volume of tent }=a^{2}+2 a \sqrt{\frac{a^{2}}{4}+h^{2}}$

where "a" is side length and "h" is height.

$\begin{array}{l}{\text { Then, Volume }=6.3^{2}+2(6.3) \sqrt{\frac{6.3^{2}}{4}+6^{2}}} \\\\ {=39.69+12.6 \sqrt{9.925+36}} \\\\ {=39.69+12.6 \times 6.7766=39.69+85.385} \\\\ {=125.075 \mathrm{ft}^{3}}\end{array}$

Hence, from the given options, approximately, option D is correct.

6 0

3 years ago

Read 2 more answers

Which of the following ratios is equivalent to 5 to 20

morpeh [17]

<h2>which of the following ratios is equivalent to 5 to 20</h2>

10:40

Step-by-step explanation:

because 5/20=1/4 and 10/40 is also equal to 1/4.

hope it helps

4 0

2 years ago