Answer:
6 5/16
Step-by-step explanation:
Hope this helped :)
Answer:
P(compact cars) = 4/25
Step-by-step explanation:
We know that there are 13 trucks, 8 vans, and 4 compact cars.
Let P denotes the probability of an event
Now we are asked to find the probability of compact cars
Number of favorable events = number of compact cars = 4
total number of outcomes = 13+8+4 = 25
hence, P(compact cars) = number of favorable events/total outcomes
=4/25
To find slope, use the formula:
(y2-y1)/x2-x1)
So here is what it will look like:
(9--7)/(1--3)
Since you are subtracting a negative, then it turns unto a positive so you are adding the numbers together.
(9+7)/1+3)
16/4
4
The slope of the line is 4/1 or 4. Which means that you will go up or "rise" 4 and go to the left or "run" 1.
Hope this helps!
The largest possible volume of the given box is; 96.28 ft³
<h3>How to maximize volume of a box?</h3>
Let b be the length and the width of the base (length and width are the same since the base is square).
Let h be the height of the box.
The surface area of the box is;
S = b² + 4bh
We are given S = 100 ft². Thus;
b² + 4bh = 100
h = (100 - b²)/4b
Volume of the box in terms of b will be;
V(b) = b²h = b² * (100 - b²)/4b
V(b) = 25b - b³/4
The volume is maximum when dV/db = 0. Thus;
dV/db = 25 - 3b²/4
25 - 3b²/4 = 0
√(100/3) = b
b = 5.77 ft
Thus;
h = (100 - (√(100/3)²)/4(5.77)
h = 2.8885 ft
Thus;
Largest volume = [√(100/3)]² * 2.8885
Largest Volume = 96.28 ft³
Read more about Maximizing Volume at; brainly.com/question/1869299
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15) factor out cos: cos(x)(sin(x)+1)=0
Now this is true when either cos(x)=0 (x=pi/2 and 3pi/2)
Or when sin(x)=-1 (x=3pi/2)
So it's solutions are pi/2 and 3pi/2
