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2 years ago

Stuck on this problem!!!

Mathematics

1 answer:

lawyer [7]2 years ago

7 0

Answer:

Step-by-step explanation:

Were you given amount of CO2 produced from a gallon of gas?

Certain assumptions have to be made....

Does the gas burn completely? No CO produced?

Does the gas contain ETHANOL?

I see various numbers for CO2 produced from gallon of gas from 18 to 20 pounds per gallon....

All of these factors will affect your answer !

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Ayudemen porfavor . Determine 4 ala potencia x + 4 ala potencia -x, si se sabe que 2ala potencia x + 2 ala potencia -x =3

Afina-wow [57]

Answer:

Es igual a 7.

Step-by-step explanation:

Ok, sabemos que:

$2^x + 2^{-x} = 3$

Queremos calcular:

$4^x + 4^{-x}$

Tambien sabemos que 4 = 2*2

Entonces:

$4^x + 4^{-x} = (2*2)^x + (2*2)^{-x}$

y sabemos que 2*2 = 2^2

Entonces:

$4^x + 4^{-x} = (2*2)^x + (2*2)^{-x} = (2^2)^x + (2^2)^{-x}$

y ahora podemos usar la relación:

$(a^n)^m = (a^m)^n = a^{m*n}$

entonces:

$(2^2)^x + (2^2)^{-x} = (2^x)^2 + (2^{-x})^2$

Ahora podemos completar cuadrados sumando y restando el termino:

$2*(2^x)*(2^{-x})$

Asi tendremos:

$(2^x)^2 + (2^{-x})^2 = (2^x)^2 + (2^{-x})^2 + 2*(2^x)*(2^{-x}) - 2*(2^x)*(2^{-x}) = (2^x + 2^{-x})^2 - 2*(2^x)*(2^{-x})$

Entonces de momento tenemos que:

$4^x + 4^{-x} = (2^x + 2^{-x})^2 - 2*(2^x)*(2^{-x})$

Sabemos que el termino que esta dentro del parentesis es igual a 3.

Y tambien podemos usar la propiedad:

$a^n*a^m = a^{n + m}$

en el termino de la derecha.

Asi tendremos:

$(2^x + 2^{-x})^2 - 2*(2^x)*(2^{-x}) = (3)^2 - 2*2^{x + (-x)} = 9 - 2 = 7$

7 0

2 years ago

Help ASAP I will give 20 pionts!

pychu [463]

What do you need help with

4 0

3 years ago

Read 2 more answers

If a 45 45 90 triangle has the hypothenuse of 10 what would the legs x and y be

melamori03 [73]

Answer:

Step-by-step explanation:

When working with 45-45-90 triangles the hypotenuse is the same as the other legs multiplied by root 2. Therefore if you need to find the legs and already have the hypotenuse, divide the hypotenuse by root 2.

10/ sqrt(2) = 7.1 is the rounded answer.

to double check your work just multiply 7.1 by the square root of 2 and you'll get <em>close</em> to 10. (because the answer is rounded and not exact.)

3 0

3 years ago

The lengths of two sides of a triangle are shown below:

Feliz [49]

Answer:

Part A) $(3x^2 - 6x - 10) + (5x^2 + 9x - 8 ) =8x^2 + 3x - 18$

Part B) $(10x^2 - x - 3) - (8x^2+3x-18) = 2x^2 -4x+15$

3 0

2 years ago

The sum of two numbers is seventeen. Three less than three times the smaller is equal to the larger

tia_tia [17]

The numbers are 5 and 12.
Smaller number = x
Larger number = y
x +y =17
y = 3x - 3
x +3x -3 = 17
4x = 20
x = 5
smaller number is 5
y = 3(5) - 3
y = 12
larger number is 12.

8 0

3 years ago