Answer: y = 54(1.06)^t
Step-by-step explanation:
It is estimated that the population of bacteria will increase by 6% each hour. This is an exponential growth. The formula for determining exponential growth is expressed as
y = b(1 + r)^ t
Where
y represents the population after t years.
t represents the number of years.
b represents the initial population.
r represents rate of growth.
From the information given,
b = 54
r = 6% = 6/100 = 0.06
Therefore, the formula for the population of bacteria is
y = 54(1 + 0.06)^t
y = 54(1.06)^t
Answer:
1. m=4/9
2.m=-26/7
3.m=0
Step-by-step explanation:
Formula: Y=mx+b
1.y
=
4
/9
x
−
25
/9
2.y
=
−
26
/7
x
+
452
/7
3.y=17
✨Hope this helps!✨
y=2/3y-3
1. y = 2/3 (9)-3 multiply 9 and 2 =18/3
y=18/3-3 divide 18 and 3 =6
y=6-3 subt. 3
y=3
2. -11=2/3x - 3
-11+3 = 2/3 x add 3 to both sides to cancel -3
-8=2/3 x
(3/2)-8 = (2/3)3/2 x multiply both sides by reciprical of 2/3
-24/2 = x divide
-12=x
Answer:
30
Step-by-step explanation:
a^2 + b^2 = c^2
(8sqrt(3))^2 + b^2 = 16^2
64 * 3 + b^2 = 256
192 + b^2 = 256
b^2 = 64
b = 8
The ratio of the lengths of the sides of this triangle is
8 : 8sqrt(3) : 16
which reduces to
1 : sqrt(3) : 2
This is the ratio of the lengths of the sides of a 30-60-90 triangle.
m<W = 30 deg
Answer:
RED,ORANGE,YELLOW
PURPLE,YELLOW,GREEN
BLUE,GREEN,YELLOW
PURPLE,BLUE,GREEN
PURPLE,BLUE,RED
PURPLE,ORANGE,BLUE
RED,YELLOW,BLUE,
ORANGE,YELLOW,GREEN
YELLOW,BLUE,PURPLE
YELLOW,GREEN,PURPLE
there is many combinations
Step-by-step explanation:
