Need helps ASAP please

24x^2√5x - 4x^2√10x; Option A

Step-by-step explanation:

See procedure below;

2√8x^3 * ( 3√10x^4 - x√5x^2 ), ⇒ Distribute the 2√8x^3 to terms in ( ) ,

( 6√8 * 10 * x^3 + 4 ) - ( 2x√ 8 * 5 * x^3 + 2 ), ⇒ Simplify,

6√80x^7 - 2x√40x^5, ⇒ Simplify further, taking values in the √ out,

( 6√4 * 4 * 5 * x^2 * x^2 * x^2 * x ) - ( 2x√4 * 2 * 5 * x^2 * x^2 * x ),

( 6 * 2 * 2 * x * x * x√5x )  -  ( 2 * 2 * x * x√10x ),

( 24x^3√5x ) - ( 4x^2√10x ),

Answer : 24x^2√5x - 4x^2√10x; Option A

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation:

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it