The chart shows a production possibilities schedule for Sabrina’s Soccer.
Combination: Soccer balls: Soccer nets:
A 10 0
B 8 1
C 6 2
D 4 3
E 2 4
F 0 5
Which statement correctly explains the chart?
A. The opportunity cost of producing one soccer net is eight soccer balls.
B. The opportunity cost of producing two soccer nets is two soccer balls.
C. The opportunity cost of producing two soccer balls is one soccer net.
D. The opportunity cost of producing four soccer balls is three soccer nets.
The opportunity cost of producing two soccer balls is one soccer net.
Answer: Option 3
<u>Explanation:</u>
Opportunity cost is when a particular option is chosen from the alternatives given, the opportunity cost is the cost incurred by not enjoying the benefit associated with the best alternative choice.
The problem of the opportunity cost occurs because the resources given in the economy are limited in availability and there fore because of that there has to be some choices that are to be made among the alternatives given in the economy.
In this example it shows that for producing two soccer balls, the opportunity cost is one soccer net.
Answer:
The volume of the sphere is 14m³
Step-by-step explanation:
Given
Volume of the cylinder = 
Required
Volume of the sphere
Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;
<em>Using the volume formula of a cylinder</em>
The formula goes thus
Substitute 21 for V; this gives
Divide both sides by h
The next step is to solve for the volume of the sphere using the following formula;
Divide both sides by r
Expand Expression
Substitute
Multiply both sided by r
------ equation 1
From the question, we were given that the height of the cylinder and the sphere have equal value;
This implies that the height of the cylinder equals the diameter of the sphere. In other words
, where D represents diameter of the sphere
Recall that 
So, 
Substitute 2r for h in equation 1
Hence, the volume of the sphere is 14m³
Answer:
65 deg
Step-by-step explanation:
Recall that interior angles of a triangle must add up to 180 deg.
hence
x + 68 + 47 = 180
x = 180 - 68 - 47 = 65 deg
Answer:
5
Step-by-step explanation:
Use the exponent rule
Simplifying the top of the fraction
5^2*5*5^3=5^2+1+3=5^6
Simplifying the bottom of the fraction 5^4*5=5^4+1=5^5
Our simplified fraction is 5^6/5^5, which is just 5^6-5 which is 5^1 or 5.
Therefore, the answer is 5.
Answer:
60
Step-by-step explanation:
given:
l = 10
b = 5
h = 2
to find:
2h(l + b)
substitute the given values of l , b and h
=2*2(10 + 5)
=4*15
=60
