Answer:
the 1st answer is correct
Step-by-step explanation:
Answer:
11 positive integers can be expressed.
Step-by-step explanation:
Consider the provided information.
The number of possible prime numbers are 5,7,11,and 13.
There are 4 possible prime numbers.
How many positive integers can be expressed as a product of two or more of the prime numbers, that means there can be product of two numbers, three number or four numbers.
The formula to calculate combinations is: 
The number of ways are:
Hence, 11 positive integers can be expressed.
Answer:
Vertex ( 5 ,8) .
Step-by-step explanation:
Given : f(x) = 2(x − 5)² + 8.
To find : Determine the vertex of the function .
Solution : We have given
f(x) = 2(x − 5)² + 8.
Vertex form of parabola : f (x) = a(x - h)² + k, where (h, k) is the vertex.
On comparing f(x) = 2(x − 5)² + 8. with vertex form of parabola.
a = 2 , h = 5 , k = 8 .
Vertex ( 5 ,8) .
Therefore, Vertex ( 5 ,8) .
Answer:
=51.63 m^2
Step-by-step explanation:
First find the area of the triangle
A = 1/2 bh = 1/2(3) * 5 = 7.5
Then find the area of the rectangle
A = l*w = 5*6 = 30
Then find the area of the semi circle, which is 1/2 the area of the circle
The diameter is 6 so the radius is 3
A = 1/2 pi r^2 = 1/2 (3.14) (3) ^2 = 14.13
Add the areas together for the total area
7.5+30+14.13
=51.63
Answer:
180 miles
Step-by-step explanation:
Step one:
capacity of tank= 18.5gallons
vehicle averages 666 miles per tank.
Hence, the vehicle can travel 666 miles on 18.5 gallons
Required
The distance covered on 5 gallons
Step two:
vehicle can travel 666 miles on 18.5 gallons
the vehicle will go x miles on 5 gallons
cross multiply we have
5*666= 18.5*x
3330=18.5x
divide both sides by 18.5
x= 3330/18.5
x=180 miles
