Answer: 495 bacteria in 2 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 = 10
t = 15 seconds
Since after 15 seconds, the amount of bacteria multiplies by 2, then
y = 2 × 10 = 20
Therefore
20 = 10 × b^15
Dividing through by 10, it becomes
2 = b^15
Raising both sides of the equation by 1/15, it becomes
2^(1/15) = b^15/15
b = 1.047
The equation becomes
y = 10(1.047)^t
For t = 2 minutes(2 × 60 = 120 seconds), then
y = 10(1.047)^120
y = 495 bacteria
Answer:
(x + 10)(x - 7)
Step-by-step explanation:
It is 3 and 10 in some order. The difference is 7 and it is plus, so the larger number is +10 and the smaller one - 3
(x + 10)(x - 3) should be the answer
10x - 3x = 7x
<h3>Answer:</h3>
The two numbers are 17 and 9.
<h3>Explanation:</h3>
<em>System of Equations</em>
Let x and y represent the first and second numbers, respectively.
... x - y = 8 . . . . . . . . . the difference of the two numbers is 8
... x = 2y - 1 . . . . . . . . .the first number is one less than twice the second
<em>Solution</em>
The second equation gives an expression for x that can be substituted into the first equation.
... (2y -1) -y = 8
... y -1 = 8 . . . . . . . collect terms
... y = 9 . . . . . . . . . add 1
... x = 2·9 -1 = 18 -1
... x = 17
The first number is 17; the second number is 9.
Doubling formula is this:
where P=initial number of rabbits
t=time
d=time it takes to doulbe
ok, so 4 weeks is the doubling time so that is 4*7=28 days
we wawnt time=98
and oroiginal number of rabbits is 5 so
so P(98)≈56.56
we can't have .56 rabbit so round down or up
about 56 or 57 rabbits in 98 days
Answer:
Step-by-step explanation:
-4x + 2y = -30
-2x + 2y = -10
-4x + 2y = -30
2x - 2y = 10
-2x = -20
x = 10
-2(10) + 2y = -10
-20 + 2y = -10
2y = 10
y = 5
(10, 5)
