<h2>
Hello!</h2>
The answer is: 23.77 hours
<h2>
Why?</h2>
Where:
Total(t) is equal to the amount for a determined time (in hours)
<em>Start</em> is the original amount
<em>t </em>is the time in hours.
For example, it's known from the statement that the bacteria double their population every 15 hours, so it can be written like this:
To calculate how long it takes for the bacteria cells to increase to 300, we should do the following calculation:
So, to know if we are right, let's replace 23.77 h in the equation:
Total(t)=100*2^\frac{23.77}{15}=299.94
and 299.94≅300
Have a nice day!
Answer:
The time of a commercial airplane is 280 minutes
Step-by-step explanation:
Let
x -----> the speed of a commercial airplane
y ----> the speed of a jet plane
t -----> the time that a jet airplane takes from Vancouver to Regina
we know that
The speed is equal to divide the distance by the time
y=2x ----> equation A
<u><em>The speed of a commercial airplane is equal to</em></u>
x=1,730/(t+140) ----> equation B
<u><em>The speed of a jet airplane is equal to</em></u>
y=1,730/t -----> equation C
substitute equation B and equation C in equation A
1,730/t=2(1,730/(t+140))
Solve for t
1/t=(2/(t+140))
t+140=2t
2t-t=140
t=140 minutes
The time of a commercial airplane is
t+140=140+140=280 minutes
For this case we have a function of the form:
y = f (x)
Where,
x: independent variable
y: dependent variable
To answer the question, we must see in the table the values of the independent variable x, for which the values of the dependent variable f (x) are negative.
We have then that the interval that fulfills this condition is from minus infinity to minus 4 without including the 4.
Thus,
(–∞, –4)
Answer:
The entire interval over which the function, f(x), is negative is:
D) (–∞, –4)
Answer:
Step-by-step explanation:
A. Function before discount:
f(c)= 8.97c
This means that cost per strand of outdoor light is $8.97 and c is number of strands of outdoor light bought. Therefore to model the function g(c) after he has received a $5 discount on his purchase(total purchase)
g(c)=8.97c-5
B. cost of 6 strands of light before discount
f(c)= 8.97×6= $53.82
cost of 6 strands of light after discount
f(c)=8.97×6-5= $48.82
Answer:
$7.90
Step-by-step explanation:
8.25 multiplied by 2 is 16.50. so 24.40 minus 16.50 is 7.90
which makes the answer $7.90
