radomes.openskiesproject.org
MandieSwanagan
MandieSwanagan MandieSwanagan
  • 20-07-2015
  • Mathematics
Answered

If 10^x equals 0.1 percent of 10^y, where x and y are integers, which of the following must be true?

Ay=x+2
By=x+3
Cx=y+3
Dy=1,000x
Ex=1,000y

Verified Answer :

naǫ
naǫ naǫ
  • 20-07-2015

\(10^x=0.1 \% \times 10^y \\ \\ 10^x=\frac{0.1}{100} \times 10^y \\ \\ 10^x=\frac{1}{1000} \times 10^y \\ \\ 10^x=\frac{10^y}{10^3} \\ \\ 10^x=10^{y-3} \\ \\ \log_{10} 10^x=\log_{10} 10^{y-3} \\ \\ x=y-3 \\ \\ y=x+3\)

The answer is B.

Answer Link

Related Questions

In the stage of friendship people begin to drift apart and might lose contact with one another
all the prime numbers between 20 and 30
Hunter is studying for his ecology test Which fact would least likely show up in his notes
Mark the statement if it describes an ideal Renaissance courtier according to The Book of the Courtier A a courtier should be modest about his talents and skill
A chef reviews the ingredient list for a sauce and sees that it contains tahini. Which major food allergen does tahini contain? A. Milk B. Soybeans C. Whea
An authors use of leads to increased precision in the text A tone B diction C humor D lexicography
What is a system of knowledge and the methods used to find that knowledge A science B technology C measurement D curiosity
music is closely associated with the rastafarian religion a reggae b secular c calypso d anthem
50 of all the cakes Jenny baked that week were party cakes 15 were fruit cakesand the remainder were sponge cakesWhat percentage of cakes were sponge cakes
What caused the decline of the Aryana