Answer: 59 minutes
Step-by-step explanation:
We would apply the formula,
y = ab^t
Where
a represents the initial amount of bacteria.
t represents the doubling time.
From the information given
a = 10000000
t = 20 minutes
Since after 20 minutes, the population doubles, then
y = 2 × 10000000 = 20000000
Therefore
20000000 = 10000000 × b^20
2 = b^20
Raising both sides of the equation by 1/20, it becomes
2^(1/20) = b
The equation becomes
y = 10000000 × 2^(1/20)×t
y = 10000000 × 2^(t/20)
Therefore, the time it will take to get to 67 million microbes would be
67000000 = 10000000 × 2^(t/20)
67000000/10000000 = 2^(t/20)
6.7 = 2^(t/20)
6.7 = 2^(0.05t)
Taking log to base 10 of both sides, it becomes
Log 6.7 = 0.05t log 2
0.826 = 0.05t × 0.301
0.01505t = 0.826
t = 0.826/0.01505
t = 54.88
t = 59 minutes
Answer:
The answer is (-4,-1)
Step-by-step explanation:
y -4x = 0
-y + 3x = 1
y = 4x
-( 4x ) + 3x = 1
-x = 1
x = -1
y = 4x
x = -1
y = 4(-1) = -4
{ y,x } = { -4,-1 }
5x - 5y = - 40
7x + 5y = 16
2x = 24
x = 8
x - y = -8
8 - y = - 8
-y= - 16
y= 16
(8,16)
Answer:
The slope is -4.
Step-by-step explanation:
y=-4x+7
y=mx+b where m=slope,
so m=-4.
26^2 - 12^2 = 676 - 169 = 507
x = sqrt (507)
x = 22.52
you're correct