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Irina-Kira [14]
3 years ago
11

American cars use about 600 000 000 gallons of oil per year. How many liters of oil do American cars use per year? Report your a

nswer in scientific notation. (1 L = 1.05 quart; 1 gallon = 4 quarts)
Mathematics
1 answer:
fiasKO [112]3 years ago
4 0
<span>1 Liter = 1.05 quart. 1/1.05 Liter = 1.05/1.05 quart = 1 quart. Replacing this value of quart in the equation below. 1 gallon = 4 quarts 1 gallon = 4 * 1/1.05 Liters 1 gallon = 3.80952380952 Total oil consumption per year in gallons is 600,000,00 So, total oil consumption per year in liters is obtained by: 600,000,000 * 3.80952380952 = 2285714285.71 liters Converting to scientific notation, we have 2.28571 * 10^9 liters.</span>
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3 years ago
according to the fundemental theorem of algebra, how many roots exist for the polynomial function? f(x) = (x^3-3x+1)^2
Svetradugi [14.3K]

Answer:

6

Step-by-step explanation:

First, we can expand the function to get its expanded form and to figure out what degree it is. For a polynomial function with one variable, the degree is the largest exponent value (once fully expanded/simplified) of the entire function that is connected to a variable. For example, x²+1 has a degree of 2, as 2 is the largest exponent value connected to a variable. Similarly, x³+2^5 has a degree of 2 as 5 is not an exponent value connected to a variable.

Expanding, we get

(x³-3x+1)²  = (x³-3x+1)(x³-3x+1)

= x^6 - 3x^4 +x³ - 3x^4 +9x²-3x + x³-3x+1

= x^6 - 6x^4 + 2x³ +9x²-6x + 1

In this function, the largest exponential value connected to the variable, x, is 6. Therefore, this is to the 6th degree. The fundamental theorem of algebra states that a polynomial of degree n has n roots, and as this is of degree 6, this has 6 roots

3 0
3 years ago
"Which of the following is the graph of an arithmetic sequence whose first term is 0 and whose common difference is 4?
Vesna [10]
The graph should start at zero, and go up four for every number
5 0
3 years ago
Un productor agricola tiene que envasar huevos en cajas de 12, de 6 o de 30. Si sabemos que tiene un numero parecido a 1000 huev
musickatia [10]

Answer:

El productor tiene que envasar 960 huevos.

Step-by-step explanation:

Es necesario determinar el mínimo común múltiplo de 6, 12 y 30. En primer lugar, se determina cada número como productos de números primos:

6 = 2\times 3

12 = 2^{2}\times 3

30 = 2\times 3\times 5

El mínimo común múltiplo es:

M.C.M. = 2^{2}\times 3\times 5

M.C.M. = 60

El número total de huevos próximo a 1000 unidades es un múltiplo del mínimo común múltiplo:

n = 60\times 16

n = 960

El productor tiene que envasar 960 huevos.

5 0
3 years ago
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iris [78.8K]

Answer:

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Step-by-step explanation:

brainliest pls

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