Answer:
$95.78
Step-by-step explanation:
f(t) = 300t / (2t² + 8)
t = 0 corresponds to the beginning of August. t = 1 corresponds to the end of August. t = 2 corresponds to the end of September. So on and so forth. So the second semester is from t = 5 to t = 10.
$T₂ = ∫₅¹⁰ 300t / (2t² + 8) dt
$T₂ = ∫₅¹⁰ 150t / (t² + 4) dt
$T₂ = 75 ∫₅¹⁰ 2t / (t² + 4) dt
$T₂ = 75 ln(t² + 4) |₅¹⁰
$T₂ = 75 ln(104) − 75 ln(29)
$T₂ ≈ 95.78
Simple...
you have: C(X)=3x+2.00
x=number of minutes
Pay attention to the y=mx+b form where m=slope-->>
3x is the slope...
so it's 3(times the number of minutes) <<---or (x)
This means that the slope is 3, or the fancy way of saying it-->>"rate of change."
The rate of change of the cost of the taxi ride is $3.00 per minute.
Thus, your answer.
I divided 746 by 4 which equals 186.5 I think that’s the answer
Answer: 4.8 hrs
<u>Step-by-step explanation:</u>
Josh: 
Dad: 
Together: 
Josh + Dad = Together
+
= 
+
=
(24x)
3x + 24 = 8x
<u> -3x </u> <u> -3x </u>
24 = 5x
<u> ÷5 </u> <u>÷5 </u>
4.8 = x
Answer:
A dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the right of the line is shaded.
Step-by-step explanation:
To graph the solution set of the inequality 2x - 3y < 12, first plot the dashed line 2x - 3y = 12 (dashed because the inequality has sign < without notion "or equal to"). This line passes through the points (0,-4) and (3,-2) (their coordinates satisfy the equation of the line). this line has positive slope because

and the slope of the line is 2/3.
Now, identify where the origin is (in the region or outside the region). Substitute (0,0) into the inequality:

This means coordinates of the origin satisfy the inequality, so origin belongs to the shaded region. Thus, shade that part which contains origin.