Answer:
QBO=12 degrees
Step-by-step explanation:
angle QAO=angle OAS so:
2x+6=4x-12
reducing:
2x=18
x=9
substituting x into QBO=3x-15 then:
angle QBO=3(9)-15=12 degrees
Exponential growth/decay rule with general function is:<span>y=y(0)<span>e<span>kt</span></span></span>
with k is growth/decay constant rate.
(1) Deer population function
y(0) = 1253
k
= 3%
t
= 6 (years)
y(6) = 1253 . e^(0.03*6) ~ 1500 (deers)
: 1496 deers
(2) Growth factor b is rate 9.5% = 0.095
Answer: x=1
Step-by-step explanation:
x - 4 -5 = -8 combine like terms on the left side
x - 9 = - 8 Add 9 to both sides
+9 +9
x = 1
0.5 x 4 = 2 feet / 2 feet in 4 seconds
15 - 2 = 13
New depth: 13 feet
0.4 x 3 = 1.2 feet / 1.2 feet in 3 seconds
13 - 1.2 = 11.8
New depth: 11.8 feet
Answer:
see below
Step-by-step explanation:
x^2 + 10x+25 =0
This is the sum of squares
(x+5)^2 =0
x = -5 one solution
x^2 +5x = 0
x(x+5) = 0
x=0 x=-5 two solutions
x^2 -10x +25 = 0
This is the difference of squares
(x-5)^2 = 0
x=5 one solution
x^2 -25 =0
x^2 = 25
x = ±5 two solutions
