Compute the exact value of the function for the given x-value without using a calculator. (5 points) f(x) = (1/4)^x for x = -3 a 64 b -12 c 1/64 d -1/64

D. -1/64

Step-by-step explanation:

F(x) = (1/4)^-3

This is 1/4 to the power of -3

= -(1/4)*(-1/4)*(-1/4)

= -(1*1*1)/(4*4*4)

= -1/64

Another way to calculate this is (-1/4)*(-1/4)*(-1/4). This is the same as (-1/4)³

When solved out the solution = -1/64

Therefore the correct answer to this question is the last option, which is d.

Thank you.

answer: ff

f

step-by-step explanation: f

ff

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.