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juin [17]
2 years ago
14

"in 2012, total u.s. bottled water consumption increased to 9.67 billion gallons, up from 9.1 billion gallons in 2011. in fact,

2012's consumption growth was the strongest it has been in five years. in addition, per-capita consumption is up 5.3 percent in 2012, with every person in america drinking an average of 30.8 gallons of bottled water last year. bottled water increased in absolute volume more than any other beverage category in the u.s. bottled water sales increased by 6.7 percent in 2012, and now total $11.8 billion." (i) estimate the per capita consumption from 2011 from data in the statement. (express your answer rounded correctly to the nearest tenth of a
Mathematics
1 answer:
Maru [420]2 years ago
7 0

Using proportions, it is found that the estimate of the the per capita consumption from 2011 was of 29.25 gallons.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The amount in 2012 was a increase of 5.3% from 2011, that is, 105.3% = 1.053 of x, and the consumption per capita was of 30.8 gallons, hence:

1.053x = 30.8

x = 30.8/1.053

x = 29.25 gallons.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

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Use DeMoivre's Theorem to find (3cis*pi/6)^3
Sonbull [250]

The correct value of (3cis(pi/6))³ is 27i.

<h3>What is Complex Number?</h3>

Complex numbers are numbers that consist of two parts — a real number and an imaginary number. Complex numbers are the building blocks of more intricate math, such as algebra.

Given the complex number in polar coordinate expressed as

z = r(cos∅+isin∅)

zⁿ =  {r(cos∅+isin∅)}ⁿ

According to DeMoivre’s Theorem;

zⁿ =  rⁿ(cosn∅+isinn∅)

Given the complex number;

(3cis(pi/6))³

= {3(cosπ/6 + isinπ/6)}³

Using  DeMoivre’s Theorem;

= 3³(cos3π/6 + isin3π/6)

=  3³(cosπ/2 + isinπ/2)

= 3³(0 + i(1))

= 27i

Thus, the correct value of (3cis(pi/6))³ is 27i.

Learn more about Complex number from:

brainly.com/question/10251853

#SPJ1

7 0
2 years ago
Three more than twice k is thirteen write the equation
lozanna [386]

2*k + 3 = 13

2*k = 13 - 3

2*k = 10

k = 10/2

k = 5

8 0
4 years ago
A business owner buys lunch for employees once every month. The owner has bought lunch for 18
Lady bird [3.3K]

Answer:

A) y = 8.63 x

B) $224.38

Step-by-step explanation:

The the average monthly cost = (147.98+152.17+165.63)/3 = $155.26

So, For 18 employees the average monthly cost = $155.26

Let the equation that can be used to estimate y, the average monthly cost, in dollars, to buy lunch for x employees. ⇒ y = mx

For x = 18 , y = $155.26

So, m = y/x = $155.26/18 ≈ $8.63

∴ y = 8.63 x

To find the total cost for 26 employees.

∴ x = 26

∴ y = 8.63 * 26 = 224.38

The total cost of a monthly lunch for 26 employees = $224.38

6 0
3 years ago
How to solve this question? Please help me
Maurinko [17]

Answer:

≈ 82 feet

Step-by-step explanation:

Since the triangle is right use Pythagoras' identity to calculate distance (d)

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

Here the hypotenuse is the distance (d) between the 2 poles, hence

d² = 80² + 45² = 6400 + 2025 = 8425 ( take the square root of both sides )

d = \sqrt{8425} ≈ 82 feet ( to the nearest foot )

8 0
4 years ago
I need help plz it’s for school plz plz
andrezito [222]

Answer:

y = 3x + 1

Step-by-step explanation:

6 0
3 years ago
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