What is the value of k in the product of powers below?
10^-3 x 10 x 10^k = 10^-3 = 1/10^3
a. -3
b. -1
c. 0
d. 1

B. -1.

Step-by-step explanation:

Note: 10 = 10^1 so:

10^-3 x 10 x 10^k = 10^(-3 + 1 + k) = 10^(k - 2).

So 10^(k - 2) = 10 ^(-3)

and k - 2 = -3

k = 2 - 3 = -1.

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.