Answer:
Step-by-step explanation:
d/dn(2 n^2 + 12 n + 18) = 4 (n + 3)
Indefinite integral:
integral(18 + 12 n + 2 n^2) dn = (2 n^3)/3 + 6 n^2 + 18 n + constant
Global minimum:
min{2 n^2 + 12 n + 18} = 0 at n = -3
The area of the lot with a shape of a parallelogram if its base measures 20 meters and the distance given is 160m².
<h3>How to calculate the area?</h3>
Area of a parallelogram will be:
= Base × Height
= 20 × 8
= 160m²
The area of the triangular landscape that has a base of 24 meters and a height of 12 meters will be:
= 1/2 × base × height
= 1/2 × 24 × 12
= 144m²
The area of the trapezium will be:
= 1/2 × (a + b) × h
= 1/2 × (16 + 30) × 10
= 1/2 × 46 × 10
= 230m²
The area of the rectangular banner has a length of 5 meters and a width of 3 meters will be:
= Length × Width
= 5 × 3
= 15m²
The area of a soccer ground square in shape with a side of 8 meters will be:
= 8 × 8
= 64m²
Learn more about area on:
brainly.com/question/25292087
Answer:
Universal set is 80
Number of people that speak Nepali is 50
Number of people that speak English is 45
Number of people that do not speak both is 7
a. Number of people that speak both languages is 22
b. As above
Step-by-step explanation:
a. Let make number of people that speak both languages x
To get x
(50-x) + (45-x) + x + 7 = 80
(50-x) + (45-x) + x = 80 - 7
(50-x) + (45-x) + x = 73
Open bracket
50-x+45-x+x= 73
50+45-2x+x = 73
95 - x = 73
-x = 73 - 95
-x = -22
x = 22
Therefore, number of people that speak both languages is 22
b. To get venn diagram
Number of people that speak Nepali is 50 - 22 = 28
Number of people that speak English is 45 - 22 = 23
Therefore, total = 28+23+22+7 = 80
Answer:
0.1, 1/8 , 2/3
Step-by-step explanation:
0.1 is 0.1
1/8 is 0.125
2/3 is 0.6