Answer:
The correct answer is c) p(x)=10x-30
Step-by-step explanation:
The answer is given in the question, you just have to replace r(x) and c(x) in the profit formula.
p(x)=r(x)-c(x)
- The revenue is: r(x)=18x
- The cost is c(x)=8x+30
p(x)=18x-(8x+30)
Solving=
p(x)=10x-30
<em>Be careful with the signs</em>
So the correct answer would be option :
c) p(x)=10x-30
The length of the ladder that makes an angle of 75 degrees and lies against the wall of a house that's 23 feet tall is <em>approximately </em>25.88 feet.
The ladder forms a right triangle as it lies against the wall as shown in the image below.
<em><u>Thus:</u></em>
x = length of the ladder (hypothenuse)
Reference angle
25 ft = Opposite
Apply SOH:
<em>Thus</em>,
Therefore, the length of the ladder that makes an angle of 75 degrees and lies against the wall of a house that's 23 feet tall is <em>approximately </em>25.88 feet.
Learn more here:
brainly.com/question/23973168
Answer:
The arc length is 87.5 inches.
Step-by-step explanation:
Given that,
Arc length = S = ?
Angle = theta = 100°
Radius = r = 50 inches
The relation between the arc length (S), angle (theta) and radius (r) is calculated using
However, the angle should be in radian.
To convert degrees into radian, we use:
=>
=> 1.75 radian
By putting values in the above relation, we get
Therefore, the arc length is 87.5 inches.
The conditions are suitable to be modelled using a binomial distribution.
p=0.43
n=15
x=5
P(x=5)
=C(15,5)*0.43^5*(1-0.43)^(15-5)
=15!/(5!(15-5)!)*0.43^5*(1-0.43)^(15-5)
=3003*0.0147008*0.003620333
=0.1598
Answer: 6928
----------------------------------------------------------
Explanation:
We have two areas we need to find: The area of the trapezoid and the area of the rectangle. Let's call these areas A1 and A2.
Area of Trapezoid = (height)*(base1+base2)/2
A1 = h*(b1+b2)/2
A1 = 80*(150+100)/2
A1 = 80*250/2
A1 = 20000
A1 = 10000
Area of Rectangle = (length)*(width)
A2 = L*W
A2 = 48*64
A2 = 3072
Subtract the two areas (A1-A2) to get the difference D
D = A1 - A2
D = 10000 - 3072
D = 6928
This difference D is exactly equal to the shaded area.