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Luden [163]
3 years ago
13

1. The price of gas has increased over time due to inflation and other factors.

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
7 0

Answer:

Step-by-step explanation:

The equation representing the price of gas for the years after 2000 is expressed as

y = 1.26(1.10)^x

Where x = 0, 2, 4, 6, 8, and 10 represent these years : 2000, 2002, 2004, 2006, 2008, and 2010, the table would be

1) x = 0(2000)

y = 1.26(1.10)^0

y = 1.3

2) x = 2(2002)

y = 1.26(1.10)^2

y = 1.5

3) x = 4(2004)

y = 1.26(1.10)^4

y = 1.8

4) x = 6(2004)

y = 1.26(1.10)^6

y = 2.2

5) x = 8(2006)

y = 1.26(1.10)^8

y = 2.7

6) x = 10(2008)

y = 1.26(1.10)^10

y = 3.3

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Answer:

Option D: 1.50

Step-by-step explanation:

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horsena [70]

Answer:

- the sample mean is 44

- the sample standard deviation is 12.35

Step-by-step explanation:

given information:

data, x_{i} = 36.45, 67.90, 38.77, 42.18, 26.72, 50.77, 39.0, 50.23

the number of data, n = 8

the sample mean, xbar

xbar = ∑x_{i}/n

       = (36.45+67.90+38.77+42.18+26.72+50.77+39.0+50.23)/8

       = 352.08/8

       = 44

standard deviation, s

s = \sqrt{sum(x_{i} - xbar)^{2}/n-1}

  = \sqrt{(36.45-44)^{2}+(36.45-44)^{2}.........(39.00-44)^{2}+(50.23-44)^{2}/(8-1 )}

 = \sqrt{\frac{1067.12}{7} }

 = 12.35

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Give the expression 4n^2t/2n^t-1, write the expression as a binomial.
lubasha [3.4K]

 <span>binomial </span>is an algebraic expression containing 2 terms. For example, (x + y) is a binomial.

We sometimes need to expand binomials as follows:

(a + b)0 = 1

(a + b)1 = a + b

(a + b)2 = a2 + 2ab + b2

(a + b)3 = a3 + 3a2b + 3ab2 + b3

<span>(a + b)4</span> <span>= a4 + 4a3b</span><span> + 6a2b2 + 4ab3 + b4</span>

<span>(a + b)5</span> <span>= a5 + 5a4b</span> <span>+ 10a3b2</span><span> + 10a2b3 + 5ab4 + b5</span>

Clearly, doing this by direct multiplication gets quite tedious and can be rather difficult for larger powers or more complicated expressions.

Pascal's Triangle

We note that the coefficients (the numbers in front of each term) follow a pattern. [This was noticed long before Pascal, by the Chinese.]

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

You can use this pattern to form the coefficients, rather than multiply everything out as we did above.

The Binomial Theorem

We use the binomial theorem to help us expand binomials to any given power without direct multiplication. As we have seen, multiplication can be time-consuming or even not possible in some cases.

<span>Properties of the Binomial Expansion <span>(a + b)n</span></span><span><span>There are <span>\displaystyle{n}+{1}<span>n+1</span></span> terms.</span><span>The first term is <span>an</span> and the final term is <span>bn</span>.</span></span><span>Progressing from the first term to the last, the exponent of a decreases by <span>\displaystyle{1}1</span> from term to term while the exponent of b increases by <span>\displaystyle{1}1</span>. In addition, the sum of the exponents of a and b in each term is n.</span><span>If the coefficient of each term is multiplied by the exponent of a in that term, and the product is divided by the number of that term, we obtain the coefficient of the next term.</span>
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What is the simplest form of 3/5 + 1/3
Lesechka [4]

Answer:

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