Soñando con extraterrestres Macarena ha tenido un sueño muy extraño la noche pasada. En su sueño hay una fila con 4999 extraterrestres que están hablando uno detrás de otro. El primero dice: “El segundo extraterrestre tiene dos cabezas”. El segundo dice: “El tercer extraterrestre tiene dos cabezas” … El extraterrestre número 4997 dice: “El extraterrestre 4998 tiene dos cabezas”. El extraterrestre 4998 dice: “El extraterrestre 4999 es un unicornio morado”. El extraterrestre 4999 dice: “¡Yo no soy un unicornio morado!”. Además, se sabe que los extraterrestres con dos cabezas mienten y que todos los extraterrestres que mienten tienen dos cabezas. ¿Cuántos extraterrestres con dos cabezas había en la fila?

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt