Step-by-step explanation:
We need to find an expression for 
.
We can solve it as follows.
We know that,
So,
or
Hence, this is the required solution.
Answer:
The number of supply of base balls is 22
Step-by-step explanation:
Given
P = Q - 4
Price = $18
Required
Number of supply
The relationship between price and quantity is given to be P = Q - 4 where price is represented by P and Q represents the quantity.
To get the quantity supply when price is $18, all you need to do is to substitute 18 for P in the above equation;
Thus, giving:
18 = Q - 4
Make Q the subject of formula
Q = 18 + 4
Q = 22 quantities
Hence, the number of supply of base balls is 22
Step-by-step explanation:
to solve you just add the length of each line segment. In this problem 1.7+3.2=4.9
The wrong statement in Viktor's summary is When a round solid ball is placed in a box, the ball takes the shape of the box
The matter has three main states which are
These states define the way we interact and manipulate materials. For instance:
- Liquids take the shape of the container that contains them. For example water, milk, soda, among others.
- Solids have a defined shape and do not deform when manipulated or placed inside another container. For example, a round solid ball.
- Gases generally do not have colors and their atoms are not organized so they do not have a definite shape and take the shape of their container. For example, the air in a balloon.
According to the above, the error in Viktor's summary is in the first phase, and the correct statement is A. because solids does not take the shape of its container.
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Answer:
length = 60 foot, width = 30 foot
Step-by-step explanation:
Area of rectangular part, A = 1800 ft²
Cost of fencing three sides is $ 6 per foot and cost of one side fencing is $18 per foot.
Let the length of the rectangle is l and the width of the rectangle is W.
Area = Length x width
A = L x W
1800 = L x W ...... (1)
Total cost of fencing, C = 6 x ( L + W + L) + 18 x W
C = 6 (2L + W) + 18 W
C = 12 L + 24 W
Substitute the value of W from equation (1), 
in equation (2)
Differentiate both sides with respect to L:
Put it equal to zero for maxima and minima
L = 60 foot
and W = 30 foot
So, the costing is minimum for length = 60 foot and the width = 30 foot.
