Because Z is directly proportional to X and inversely proportional to Y, therefore
where k = constant.
When X = 15 and Y = 9, Z = 5. Therefore
k(15/9) = 5
k = 5*(9/15) = 3
That is,
When X = 23, and Y = 14, obtain
Z = (3*23)/14 = 4.9286
Answer: Z = 4.929 (nearest thousandth)
Q must be positive in F.
F. r squared will be positive, because any number times itself is positive, and to get a positive number for the answer, the two numbers you multiply need to be the same sign. If r squared is positive, q must be too.
G. q does not have to be positive. If r is a negative number, then q can be negative. Say q=-2 and r=-3. -2-(-3) changes to -2+3, which equals 1.
H. Again, q can be negative if r is negative (two negative numbers multiplied together equals a positive answer.
J. q can be negative because even a negative number turns positive when squared.
Hope this helped you. :)
Answer: The world's population in 2015 would have been 7.333 billion.
Step-by-step explanation:
- Since the increase in population is an exponential one. It then follows a geometric progression defined by,
= 
- Where is the nth term, <em>a</em> is the 1st term, <em>r</em> is the common ratio.
- Therefore, the population in <u>1998</u> is the <u>first term</u> <em>a</em> = 5.937 billion. The population in <u>2014</u> corresponds to the <u>17th term </u>(i.e., <em>n </em>= 17) = 7.238 billion.
Hence, =
7.238 billion = 5.937 billion × 
= (7.238 billion) ÷ (5.937 billion)
= 1.219
<em>r</em> = ![\sqrt[16]{1.219}](https://tex.z-dn.net/?f=%5Csqrt%5B16%5D%7B1.219%7D)
<em>r</em> = 1.0125
To get the population in 2015, which is the 18th term. We use
=
= 5.937 billion × 
= 5.937 billion × 
= 5.937 billion × 1.235
= 7.333 billion
Answer:
Step-by-step explanation:
2/4 in simplest form is 1/2
