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Slav-nsk [51]
2 years ago
9

a gas company in massachusetts charges $1.30 for 16.7 ft3 of natural gas. convert this rate to dollars per liter of gas

Mathematics
1 answer:
Katyanochek1 [597]2 years ago
5 0

By using a change of units, we can see that the rate in dollars per liter is:

R = $0.0027 per liter.

<h3>How to convert the rate?</h3>

Here we have a rate in dollars per cubic foot, and we want to rewrite this in dollars per liter. So we just need to apply a change of units.

The original rate is in dollars per square foot, and it is given by:

R = $1.30 for 16.7ft^3

We know that the relation between cubic feet and liters is:

1ft^3 = 28.32 L

Then, if we apply a change of units, we can rewrite the volume as:

16.7ft^3 = 16.7*(28.32) L = 472.9 L

Then the rate is $1.30 per 472.9 L, taking the quotient we get:

R = ($1.30/472.9 L) = $0.0027 per liter.

If you want to learn more about changes of units:

brainly.com/question/9032119

#SPJ1

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659, 400, 211, 748, 351, 902, 400, 359<br> Mean<br> Median<br> Mode<br> Range
scoray [572]

Answer:

mean =503.75

median=400

mode=400

range=691

Step-by-step explanation:

mean= 211+351+359+400+400+659+748+902=4030/8= 503.75

range= highest number -lowest number = 902-211=691

median= 400+400 =800/2= 400

3 0
3 years ago
zodwa needs R450550.00 to buy a house, the bank approved her loan for the full amount at an interest rate of 25% per year, compo
adell [148]

Answer:

I'll setup the problem and leave the computation to you

Step-by-step explanation:

The equation to calculate fixed payments

P =  \frac{r(PV)}{1- {(1 + r)}^{ - n} }

P= payments

r = interest rate for the period (which is a quarter )

PV = present value (or the amount borrowed)

n = number of periods

r = .25/4 (4 months = quarter of a year)

n = 4*10

PV = R450550.00

if you have questions, put them in the comment

6 0
3 years ago
Explain which event is more likely: rolling two dice and getting a total of 11, or, tossing a coin and getting three Heads in a
amm1812

Answer:

The gambler's fallacy, also known as the Monte Carlo fallacy or the fallacy of the maturity of chances, is the erroneous belief that if a particular event occurs more frequently than normal during the past it is less likely to happen in the future (or vice versa), when it has otherwise been established that the probability of such events does not depend on what has happened in the past. Such events, having the quality of historical independence, are referred to as statistically independent. The fallacy is commonly associated with gambling, where it may be believed, for example, that the next dice roll is more than usually likely to be six because there have recently been fewer than the usual number of sixes.

The term "Monte Carlo fallacy" originates from the best known example of the phenomenon, which occurred in the Monte Carlo Casino in 1913.[1]

8 0
3 years ago
One positive number is 9 more than twice another. If their product is 731 find the numbers
Anastaziya [24]
The answer is 361.

This is because you take 731 and subtract 9 and you get 722. Then you divide 722 by two and you get 361.

Hope this helped!!
3 0
3 years ago
Expanding Logarithmic Expressions In Exercise, use the properties of logarithms to rewrite the expression as the sum, difference
kicyunya [14]

Answer:

\\ ln(x^2) - ln(x^2 + 1).

For values of x>0, it can be rewritten as \\ 2ln(x) - ln(x^2 + 1).

Step-by-step explanation:

For the expression:

\\ ln(\frac{x^2}{x^2 + 1})

We can apply this logarithmical property: \\ ln(\frac{x}{y}) = ln(x) - ln(y).

Then,

\\ \frac{x^2}{x^2 + 1} = ln(x^2) - ln(x^2 + 1).

If we assume values of <em>x </em>> 0 (non negative values for x), then the expression could be rewritten as follows:

\\ \frac{x^2}{x^2 + 1} = ln(x^2) - ln(x^2 + 1) = 2 ln(x) - ln(x^2 + 1), since \\ ln(x^{n}) = n*ln(x).

We have to remember that <em>domain</em> (all possible values x) for logarithmic function is for all x > 0, or mathematically expressed as:

Domain: \\ {x | x \in R, x > 0}

8 0
3 years ago
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