Suppose a test has six multiple-choice questions with four options and eight true/false questions. If a person responds to all questions, in how many ways can the 14 questions be answered?

1,360

Step-by-step explanation:

Ok, so for the first 6 questions, if each one can be answered 4 different times, that would mean that it would be 6 to the 4th power (or 6 x 6 x 6 x 6)

That would be 1296.

Then, we have the other 8 questions, that can be answered 2 different ways. That would be represented as 8 to the second power (or 8 x 8)

That would be 64.

Now, we have to add the two numbers together to get the total. 1296+64 = 1,360

That's how you get the answer! I hope this is correct!

i'm assuming it's looking for the missing length, which should be 4cm

hope this !

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)