Answer:
D) n^6 - 6m^6 + 7mn^5 + 14m^2n^4 -5m^3 n^3
Step-by-step explanation:
The given polynomial is 8mn^5 -2m^6 +5m^2 n^4 - m^3 n^3 + n^6 - 4m^6 + 9m^2n^4 -mn^5 - 4m^3n^3
Now we have to identify the like terms and simplify.
Like terms are nothing but the terms which have the same variables with same powers.
= (8mn^5 - mn^5) -2m^6 - 4m^6 + 5m^2 n^4 + 9m^2 n^4 - m^3n^3 - 4m^3n^3 +n^6
Now combine the like terms
= 7mn^5 - 6m^6 +14m^2 n^4-5m^3n^3 + n^6
It can be written in standard form
= n^6 - 6m^6 + 7mn^5 + 14m^2n^4 -5m^3 n^3
The answer is D)
Hope this will helpful.
Thank you.
NB- Solution is emboldened
import java.util.Scanner;
import java.util.Random;
public class RandomGenerateNumbers {
public static void main (String [] args) {
Random randGen = new Random();
int seedVal = 0;
seedVal = 4;
randGen.setSeed(seedVal);
System.out.println(randGen.nextInt(50) + 100);
System.out.println(randGen.nextInt(50) + 100);
return;
}
}
Answer:
The volume of the sphere is 1436 in³
The equation is
V = ⁴⁄₃ * 3.14 * (7ft)³
Step-by-step explanation:
radius = half of diameter
d = 14ft
r = 14ft / 2 = 7ft
To calculate the volume of a sphere we have to use the following formula:
V = volume
r = radius = 7ft
π = 3.14
V = ⁴⁄₃πr³
we replace with the known values
V = ⁴⁄₃ * 3.14 * (7ft)³
V = 4.187 * 343 in³
V = 1436 in³
The volume of the sphere is 1436 in³
Answer:
A) f(-3) = g(-4)
Step-by-step explanation: hope it helps
Answer:
All the expressions other than option E, is equivalent to the expression 18m - 12.
Step-by-step explanation:
A. 6m - 4 + 6m -4 + 6m - 4
or 6m+6m+6m -4 -4 -4
or 18m -12
B. 12m + 6 - 6m -6
or 12m - 6m + 6 - 6
or 6m
C.6(3m - 2)
or 18m - 12
D.3(6m - 4)
or 18m - 12
E. 24n - 4² + 8 -6m
This option can not satisfy the given expression as it contains another variable as n.
