118,813,760 different combination license plates can the country produce
<h3 /><h3>permutations and combinations:</h3>
permutations and combinations, the various ways in which objects from a set may be selected, generally without replacement, to form subsets. This selection of subsets is called a permutation when the order of selection is a factor, a combination when order is not a factor. By considering the ratio of the number of desired subsets to the number of all possible subsets for many games of chance in the 17th century, the French mathematicians Blaise Pascal and Pierre de Fermat gave impetus to the development of combinatorics and probability theory.
given that
in a certain country license plates consist of zero or one digit followed by four or five uppercase letters from the roman alphabet
X = 10 × 26 × 26 × 26 × 26 × 26
= 10 × 11881376
= 118,813,760
118,813,760 different combinations license plates can the country produce
To learn more about combinations:
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Answer:
The domain is the set of all possible x-values
The range is the resulting y-values
- The range is the outside temperature is here
- Function is decreasing between x= 0 to 3
- It means the temperature is decreasing between midnight and 3 AM
Use the pythagoream theorem to check. a^2+b^2=c^2
a=15 b=36 c= 39
225+1296=1521
The equation is true so it is a right triangle.
Answer:

Step-by-step explanation:
Given
Tower one = 15.6 cm
Tower two = 18.3 cm
Tower 3 = 13.9 cm.
Required:
Height of the 4th tower
Represent a cube by X; a cylinder by Y and a hexagonal prism by Z
Tower one, a cube with a hexagonal prism = X + Z = 15.6
Tower two, a cube with a cylinder = X + Y = 18.3
Tower 3, a hexagonal prism with a cylinder = Z + Y = 13.9
----- Equation 1
----- Equation 2
----- Equation 3
Subtract equation 1 from 2



---- Equation 4
Add Equation 4 to Equation 3



Divide both sides by 2



Substitute
in Equation 2 and 3
----- Equation 2

Subtract 8.3 from both sides



----- Equation 3

Subtract 8.3 from both sides



So, we have that



The question states that the 4th tower is made up of the three shapes;
This implies that;



The height of the 4th tower is 23.9cm
Answer:
Molly can drive her car 112 miles on 4 gallons of gas and 182 miles on 6.5 gallons write an equation to show the relationship between the number of gallons she has and the number of miles she can drive and how many gallons she would need to drive 420 miles⊂⇄∪↓Ф
Step-by-step explanation: