1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
aliina [53]
2 years ago
10

What is the total of 2 3/5 kg and 3 9/10 kg

Mathematics
1 answer:
Degger [83]2 years ago
4 0
6.5 kilograms is the answer
You might be interested in
Suppose has a solution. Explain why the solution is unique precisely when has only the trivial solution. Choose the correct answ
Margarita [4]

Complete question is;

Suppose Ax = b has a solution. Explain why the solution is unique precisely when Ax = 0 has only the trivial solution. Choose the correct answer.

A. Since Ax = b is inconsistent, its solution set is obtained by translating the solution set of Ax = 0. For Ax = b to be inconsistent, Ax = 0 has only the trivial solution.

B. Since Ax = b is consistent, its solution set is obtained by translating the solution set of Ax = 0. So the solution set of Ax = b is a single vector if and only if the solution set of Ax = 0 is a single vector, and that happens if and only if Ax = 0 has only the trivial solution.

C. Since Ax = b is inconsistent, then the solution set of Ax = 0 is also inconsistent. The solution set of Ax = 0 is inconsistent if and only if Ax = 0 has only the trivial solution.

D. Since Ax = b is consistent, then the solution is unique if and only if there is at least one free variable in the corresponding system of equations. This happens if and only if the equation Ax = 0 has only the trivial solution.

Answer:

Option B: Since Ax = b is consistent, its solution set is obtained by translating the solution set of Ax = 0. So the solution set of Ax = b is a single vector if and only if the solution set of Ax = 0 is a single vector, and that happens if and only if Ax = 0 has only the trivial solution

Step-by-step explanation:

There are different ways of explaining this but we will explain it algebraic ally.

If Ax = b has a solution, then it can be said to be unique if and only if every column of A will be a pivot column. Now, If every column of A will be a pivot column, then it means that there are no free variables, and thus the homogeneous equation will have only the trivial solution.

Also homogeneous equations are always constant.

Thus the correct option is Option B: Since Ax = b is consistent, its solution set is obtained by translating the solution set of Ax = 0. So the solution set of Ax = b is a single vector if and only if the solution set of Ax = 0 is a single vector, and that happens if and only if Ax = 0 has only the trivial solution

5 0
3 years ago
HELLPP ASAP!!!! <br> 1. Find the unknown side lengths in these right triangles.
lakkis [162]

Answer:

10

Step-by-step explanation:

5x2

8 0
3 years ago
Read 2 more answers
Pula pays 419.92 for 2.4 pounds of walnuts .What is the price per pounof waluts ?
Troyanec [42]
174.97$ is the answer.
How I did it:
419.92 / 2.4 = 174.966 which rounds to 174.97$
3 0
2 years ago
Input is also called? <br>Dependent Variable<br>Independent Variable​
irga5000 [103]

independent variable input

6 0
2 years ago
Read 2 more answers
With bases V1, V2 , V3 andw1, w2 , W3, suppose T(v1) = w2 and T(v2) = T(v3) = w1 + w3 . T is a linear transformation. Find the m
Roman55 [17]

Answer:

See picture and explanation below.

Step-by-step explanation:

With this information, the matrix A that you can find is the transformation matrix of T. The matrix A is useful because T(x)=Av for all v in the domain of T.

A is defined as T=([T(v_1)] [T(v_2] [T(v_3)])\text{ where }[T(v_i)] denotes the vector of coordinates of T(v_i) respect to the basis (we can apply this definition because forms a basis for the domain of T).

The vector of coordinates can be computed in the following way: if T(v_i)=a_1w_1+a_2w_2+a_3w_3 then [T(v_i)]=(a_1,a_2,a_3)^t.

Note that we have all the required information: T(v_1)=0w_1+1\cdot w_2+0w_3 then [T(v_1)]=(0,1,0)^t

T(v_2)=T(v_3)=1\cdot w_1+0w_2+0w_3 hence [T(v_2)]=[T(v_3)]=(1,0,0)^t

The matrix A is on the picture attached, with the multiplication A(1,1,1).

Finally, to obtain the output required at the end, use the properties of a linear transformation and the outputs given:

T(v_1+v_2+v_3)=T(v_1)+T(v_2)+T(v_3)=w_2+w_1+w_1=w_2+2w_1  

In this last case, we can either use the linearity of T or multiply by A.

4 0
3 years ago
Other questions:
  • An architectural drawing lists the scale as 1/4" = 1'. If a bedroom measures 6 3/4" by 4 1/2" on the drawing, how large is the b
    14·2 answers
  • How do I write 2\5, 1.4, 1\3, and 0.5 from least to greatest?
    11·2 answers
  • What is the equation that passes through (4, 3) and (2, -1)?
    8·2 answers
  • Which set of measurements could be the side lengths of a right triangle?
    8·1 answer
  • MARKING BRAINLIESTTT WHOEVER IS THE FIRST TO ANSWER AND GE IT RIGHT
    10·1 answer
  • Check if x=-1 is a solution to x3 + 3x^2 = x+3. Which statement do you get?
    13·1 answer
  • Rearrange to make x the subject<br> 4(x-3)<br> a<br> = y
    12·2 answers
  • Please help i need this
    15·1 answer
  • √2 x √27 use the properties of radicals to simplify
    6·1 answer
  • Solve the following simultaneous equations. x + y = 3<br> x -y = 1
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!