A rectangular block of metal is 27cm long, 7cm wide and 12cm high. The metal block is melted down and all of the metal is used to make a cube.
Work out the length of each side of the new cube formed.
Give your answer rounded to 1DP

length of side of newly formed cube = 13.13cm

Step-by-step explanation:

the volume of the rectangular metal block (V)=

length (L) × width (B) × height (H)

=》V = 27 × 7 × 12

=》V = 2268 cubic cm

and if it is melted and casted into a metal cube, then the volume remains the same

so, volume of cube = 2268 cubic cm

now,

let the measures of sides of the cube formed be a

volume of cube (V) =

=》

=》

=》

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

cretdit to source

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560