Inversely proportional: z = k/r
k = 32 * 1.5 = 48
Plug that into equation
8 = 48/r
Multiply both sides by r
8r = 48
Divide by 8
r = 6
Answer:
<em>It will take 26.34 minutes for the population to reach 5 times its initial value</em>
Step-by-step explanation:
<u>Exponential Growing</u>
The population of bacteria grows at a rate expressed by the equation:

Where t is in minutes.
We need to know when the population will reach 5 times its initial value. The initial value can be determined by setting t=0:

Now we find the time when the population is 5*256=1,280. The equation to solve is:

Dividing by 256:

Taking natural logarithms:

Applying the logarithm properties:

Solving for t:

It will take 26.34 minutes for the population to reach 5 times its initial value
<h2>
<u>Answer:</u></h2>
One number = x
Other number = 9 + x
Sum of the numbers = 35
Value of the smaller number (x) = ?

<h3>➟ The value of the smaller number is
<u>13</u></h3>
Answer:
so there is a 5% change of or ordering a large cold drink
Step-by-step explanation:
first add the total of all drinks
5+48+22+8+12+5=100
the amount of large drinks that are cold are 5
so there is a 5% change of ordering a large cold drink
Answer:
D. 0.7x+10.8
Step-by-step explanation:
I used desmos calculator and typed in all the equations and this is the only one that was close to the set of dots. I attached a screetshot so you can look for yourself. I hope this helps