Answer:
The answer is 6.5
Step-by-step explanation:
All you have to do is divide 13 by 2.
The difference in the volume of bedroom door in the house taken the length and width into consideration will be 120 inches³.
<h3>How to calculate the bedroom door?</h3>
It should be noted that the volume of a door is simply gotten by multiplying the length by width.
Let's assume that the width is 20 inches. Therefore, the difference will be:
= (36 × 20) - (30 × 20)
= 720 - 600
= 120 inches³
Learn more about volume on:
brainly.com/question/12410983
Answer:
Our actual answer is 1/18 greater than our estimate
1/2 < 5/9
Step-by-step explanation:
5/8 is close to 1/2
8/9 is close to 1
1/2 * 1 = 1/2
Our estimate is 1/2
Actual answer
5/8 *8/9
Rewriting
5/9 * 8/8
5/9
How close
5/9 - 1/2
Getting a common denominator
5/9*2/2 - 1/8 *9/9
10/18 - 9/18
1/18
Our actual answer is 1/18 greater than our estimate
Given ,
8(6b+3) =0
=> 48b+24=0
=> b= -24/48
=> b = -3/4
Here is our profit as a function of # of posters
p(x) =-10x² + 200x - 250
Here is our price per poster, as a function of the # of posters:
pr(x) = 20 - x
Since we want to find the optimum price and # of posters, let's plug our price function into our profit function, to find the optimum x, and then use that to find the optimum price:
p(x) = -10 (20-x)² + 200 (20 - x) - 250
p(x) = -10 (400 -40x + x²) + 4000 - 200x - 250
Take a look at our profit function. It is a normal trinomial square, with a negative sign on the squared term. This means the curve is a downward facing parabola, so our profit maximum will be the top of the curve.
By taking the derivative, we can find where p'(x) = 0 (where the slope of p(x) equals 0), to see where the top of profit function is.
p(x) = -4000 +400x -10x² + 4000 -200x -250
p'(x) = 400 - 20x -200
0 = 200 - 20x
20x = 200
x = 10
p'(x) = 0 at x=10. This is the peak of our profit function. To find the price per poster, plug x=10 into our price function:
price = 20 - x
price = 10
Now plug x=10 into our original profit function in order to find our maximum profit:
<span>p(x)= -10x^2 +200x -250
p(x) = -10 (10)</span>² +200 (10) - 250
<span>p(x) = -1000 + 2000 - 250
p(x) = 750
Correct answer is C)</span>