Answer:
2.4 cm
Step-by-step explanation:
We know the length of segment AB and the length of segment BC. To find their midpoints, we can divide their length by 2.
Let's find the midpoint of AB.
- Segment AB: 10 cm
- Midpoint of AB: 10/2 = 5 cm
Next let's find the midpoint of BC.
- Segment BC: 5.2 cm
- Midpoint of BC: 5.2/2 = 2.6 cm
In order to find the difference between these midpoints, we can subtract the midpoint of AB by the midpoint of BC.
Therefore, the difference between the midpoints of AB and BC is 2.4 cm.
Answer:
C(p) = 4,96 (in thousands of dollars)
l = 2980 $ invest in labor
k = 2980 $ invest in equipment
Step-by-step explanation:
Information we have:
Monthly output P = 450*l*k ⇒ k = P/450*l
But the production need to be 4000
Then k = 4000/450*l
Cost of production = l * k (in thousands of dollars)
C(l) = l + 4000/450*l
Taking derivatives (both members of the equation)
C´(l) = 1 - 400 /45*l² ⇒ C´(l) = 0 ⇒ 1 - 400/45l² = 0
45*l² - 400 = 0 ⇒ l² = 400/45
l = 2.98 (in thousands of dollars)
l = 2980 $ And
k = 400/45*l ⇒ k 400/45*2.98
k = 2.98 (in thousands of dollars)
C(p) = l + k
C(p) = 2980 + 2980
C(p) = 5960 $
Answer:
62.8 in
Step-by-step explanation:
Circumfrence=pi x diameter
3.14 x 20=62.8
Start by doing a subtraction of 6 to both sides so that the equation becomes -2x^2 + 7x + 1 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [ -b ± √(b^2 - 4ac) ] / (2a)
x = [ -7 ± √((7)^2 - 4(-2)(1)) ] / ( 2(-2) )
x = [-7 ± √(49 - (-8) ) ] / ( -4 )
x = [-7 ± √(57) ] / ( -4)
x = [-7 ± sqrt(57) ] / ( -4 )
x = 7/4 ± -sqrt(57)/4
The answers are 7/4 + sqrt(57)/4 and 7/4 - sqrt(57)/4.
Answer: 1. 781
A. 78
B. 78
C. 1
D. 156
Step-by-step explanation:
absolute value is how far away the number is from zero. Absolute value can NEVER be negative :)
