Find the volume o the sphere.

Answer:

  8(x-10)

Step-by-step explanation:

When the calculation is repetitive, I like to let a calculator or spreadsheet do it. The value of the given function is

  4·20 -10 = 70

Only the expression 8(x-10) = 8(20-10) = 80 has a larger value for x=20.

_____

Comment on this solution

It is actually fewer keystrokes to copy the numbers into a calculator, but getting a record of results can be difficult.

Answer:

Step-by-step explanation:

Answer:

1. S

2. G

3. I

4. O

5. P

6. D

7. C

8. F

9. J

10. Q

11. E

12. K

13. R

14. A

15. B

16. N

17. M

18. L

19. H

Step-by-step explanation:

4. O

→ 3 is a coefficient of 3x

5. P

→ 3 is a common factor in the expression 3x+9

6. D

→example of a constant term is 1,3,10

7. C

→

8. F

→ will be factorised as (x-2)(x+2)

9. J

→ example of an expression is

10. Q

→ factors of 3 are 3×1.

11. E

→ example of factoring is

12. K

→ example of a factored completely is

14. A

→example of a polynomial is .

15. B

→ example of a quadratic expression is .

17. M

→

18. L

→

19. H

→ example of a term is 2x,3,40

Answer:

closed questions are questions with fixed answer options

A. Closed questions allow the respondent to go​ in-depth with their answers.

• no, it is relevant to open questions

B. It is possible to automate the collection of results for closed questions.

• yes

C. Closed questions allow for new solutions to be introduced.

• no, it allows to collect statistical data but not good for new solutions, it better works with open questions when new ideas, solutions may appear

D. It is easy to quantify and compare the results of surveys with closed questions.

• yes

Answer:

To find the value of x that makes the equation 7^15 * 7^4 = 7^x true, you can use the properties of exponents.

In this case, you can apply the rule that when you multiply two numbers with the same base, you can add their exponents. So, for the equation:

7^15 * 7^4 = 7^x

You can combine the exponents on the left side:

7^(15 + 4) = 7^x

Now, you have:

7^19 = 7^x

For these two exponential expressions to be equal, the exponents must be equal:

x = 19

So, the value of x that makes the equation true is x = 19.

Answer:

The algorithm is given below.

#include <iostream>

#include <vector>

#include <utility>

#include <algorithm>

using namespace std;

const int MAX = 1e4 + 5;

int id[MAX], nodes, edges;

pair <long long, pair<int, int> > p[MAX];

void initialize()

{

   for(int i = 0;i < MAX;++i)

       id[i] = i;

}

int root(int x)

{

   while(id[x] != x)

   {

       id[x] = id[id[x]];

       x = id[x];

   }

   return x;

}

void union1(int x, int y)

{

   int p = root(x);

   int q = root(y);

   id[p] = id[q];

}

long long kruskal(pair<long long, pair<int, int> > p[])

{

   int x, y;

   long long cost, minimumCost = 0;

   for(int i = 0;i < edges;++i)

   {

       // Selecting edges one by one in increasing order from the beginning

       x = p[i].second.first;

       y = p[i].second.second;

       cost = p[i].first;

       // Check if the selected edge is creating a cycle or not

       if(root(x) != root(y))

       {

           minimumCost += cost;

           union1(x, y);

       }    

   }

   return minimumCost;

}

int main()

{

   int x, y;

   long long weight, cost, minimumCost;

   initialize();

   cin >> nodes >> edges;

   for(int i = 0;i < edges;++i)

   {

       cin >> x >> y >> weight;

       p[i] = make_pair(weight, make_pair(x, y));

   }

   // Sort the edges in the ascending order

   sort(p, p + edges);

   minimumCost = kruskal(p);

   cout << minimumCost << endl;

   return 0;

}