Answer:
x = 1/4
Step-by-step explanation:
remove the parenthesis
collec like terms
caculate
move constant to the right
calculate
divide both sides
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:
Point T = (4,9)
Step-by-step explanation:
Given:
S (−5,0)
M (10, 15)
m1:m2 = 3:2
Find:
Point T
Computation:
X = [m1x2 + m2x1] / [m1+m2]
Y = [m1y2 + m2y1] / [m1+m2]
X = [(3)(10) + (2)(-5)] / [3+2]
Y = [(3)(15) + (2)(0)] / [3+2]
X = 20 / 5 = 4
Y = 45 / 5 = 9
Point T = (4,9)
Answer:
19/15
Step-by-step explanation:
1 2/3=5/3
So 5/3 - 2/5 ( + - is -)
Making the denominator equal we get
(25-6)/15=19/15
Answer:
cos(18°)=sin(72°)
Step-by-step explanation:
we know that
In a right triangle
cos(A)=sin(B)
If A and B are complementary angles
so
A+B=90°
In this problem
A=18°
B=90-18=72°
therefore
cos(18°)=sin(72°)
