The population of the bacteria after 8 hours is 1639 bacteria.
An exponential function is given by:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier.
Let y represent the population of bacteria after x hours.
Given that he starts his experiment with 500 bacteria, hence
a = 500
The bacteria grow at a rate of 16% per hour, hence:
b = 100% + 16% = 1.16
The exponential equation becomes:
y = 500(1.16)ˣ
After 8 hours:
y = 500(1.16)⁸ = 1639
The population of the bacteria after 8 hours is 1639 bacteria.
Find out more at: brainly.com/question/12490064
To solve this problem, we have to figure out a rule for the function. We are told that it is a two-step rule, so it is most likely the input multiplied by a coefficient plus a constant. Let’s let the input be represented by the variable x and the output be represented by the variable y. Using our knowledge, we can see that the outputs are close to triple the input, so we set up the preliminary equation:
y = 3x + b,
where b is a constant. If we want to solve for b, we must plug in one of our input/output pairs. If we plug in (5,16), we get the following:
16 = 3(5) + b
16 = 15 + b
1 = b
Then, we should substitute in this value into our equation and check our work.
y = 3x + 1
If we plug in the other points, this equation yields a true statement, so we know it is correct.
Hope this helps!
Answer:
5x+3y=8.50 and 3x+2y=5.25
Step-by-step explanation:
because i got it correct
The width of the H is 1/2 + 1 + 1/2 = 2 inches. Since the borders are the same on all sides, they are (4 -2)/2 = 1 inch wide all around. That means the height of the H is 5 -2*1 = 3 inches.
The area of the H is 2*(1/2*3) +(1/2*1) = 3 1/2 square inches.
The area of the overall painting is 4*5 = 20 square inches.
Then the fraction that is beige is
.. (20 -3.5)/20 = 16.5/20 = 82.5/100 = 82.5%
_____
Each of the actual dimensions is 6 times that shown in the calculation above. You could say we chose to factor out the 6s and cancel them in the ratio.
Answer:
Imagie 1 and 2
monomial function graph look like this
<3 ily
Red
