Step-by-step explanation:
the problem description is incomplete or wrongly copied.
we don't know the thickness of the boards, and we cannot understand what we need to calculate, and what the answer options are.
Answer:
20.
Step-by-step explanation:
We found the factors and prime factorization of 80 and 100. The biggest common factor number is the GCF number. So the greatest common factor 80 and 100 is 20
Using logarithm, the following equation will apply:
Y = P * [1 + z]^x
Where Y = 2000
P = 100
z = 5% = 0.05
x is the quantity we are calculating for
The equation becomes
2000 = 100 * [1+ 0.05]^x
Dividing both side by 100, we have
20 = 10 * [ 1 + 0.05]^x
Taking the log of both sides, we have
Log 20 = Log [1 + 0.05]^x
log 20 = x * log 1.05
x = log 20/ log 1.05 = 61.40
Thus, it will takes 61.40 minutes for the number of cells in the petri dish to reach 2000.
Answer:
The standard form of a quadratic is y = ax^2 + bx + c.
- In this equation, the formula for the axis of symmetry is x =
. - You know that the center will always be along that line, and you've got the x-coordinate already, so just plug that in and get the y-coordinate out for the center.
The vertex form of a quadratic is also helpful, y = a(x-h)^2 + k.
- In this equation, the formula for the center is (h, k), and the axis of symmetry is x = h! That's even easier!

Here's our expression: 
We will follow the order of operations and begin by solving everything in parentheses. 
Next, we solve the exponents. 
Now, we solve the multiplication and division. There is no division, so we will just solve the multiplication. 
Finally, we solve the addition and subtraction. Since there is no addition, we will solve the subtraction. 