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4 years ago

Two-thirds a number plus 4 is 7.

Mathematics

2 answers:

Scorpion4ik [409]4 years ago

8 0

The variable I am going to us is x.

2/3x+4=7

That will be your algebraic expression.

Rudiy274 years ago

4 0

2/3 x n + 4 = 7.

I believe it's this equation.

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Linda put $130 to start a bank account. At the end of each week, Linda goes to the bank and either makes a withdrawal (takes mon

sladkih [1.3K]

Answer:

Step-by-step explanation:

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3 years ago

A = 4 0 0 1 3 0 −2 3 −1 Find the characteristic polynomial for the matrix A. (Write your answer in terms of λ.) Find the real ei

Illusion [34]

Answer:

Step-by-step explanation:

We are given the matrix

$A = \left[\begin{matrix}4&0&0 \\ 1&3&0 \\-2&3&-1 \end{matrix}\right]$

a) To find the characteristic polynomial we calculate $\text{det}(A-\lambda I)=0$ where I is the identity matrix of appropiate size. in this case the characteristic polynomial is

$\left|\begin{matrix}4-\lambda&0&0 \\ 1&3-\lambda&0 \\-2&3&-1-\lambda \end{matrix}\right|=0$

Since this matrix is upper triangular, its determinant is the multiplication of the diagonal entries, that is

$(4-\lambda)(3-\lambda)(-1-\lambda)=(\lambda-4)(\lambda-3)(\lambda+1)=0$

which is the characteristic polynomial of A.

b) To find the eigenvalues of A, we find the roots of the characteristic polynomials. In this case they are $\lambda=4,3,-1$

c) To find the base associated to the eigenvalue lambda, we replace the value of lambda in the expression $A-\lambda I$ and solve the system $(A-\lambda I)x =0$ by finding a base for its solution space. We will show this process for one value of lambda and give the solution for the other cases.

Consider $\lambda = 4$ . We get the matrix

$\left[\begin{matrix}0&0&0 \\ 1&-1&0 \\-2&3&-5 \end{matrix}\right]$

The second line gives us the equation x-y =0. Which implies that x=y. The third line gives us the equation -2x+3y-5z=0. Since x=y, it becomes y-5z =0. This implies that y = 5z. So, combining this equations, the solution of the homogeneus system is given by

$(x,y,z) = (5z,5z,z) = z(5,5,1)$

So, the base for this eigenspace is the vector (5,5,1).

If $\lambda = 3$ then the base is (0,4,3) and if $\lambda = -1$ then the base is (0,0,1)

3 0

3 years ago

HELP ASAP THIS IS DUE IN 5 MINUTES

Leona [35]

Answer:

25.5 m

Step-by-step explanation:

solve for the area of the triangle and the rectangle separately, then add the values together.

5 0

3 years ago

Examine the Graph. <br> HELP FOR POINTS

konstantin123 [22]

Step-by-step explanation:

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3 0

3 years ago

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Setler [38]

Answer:

19.6 cubic centimeters

Step-by-step explanation:

The ratio of two similar 3D figures' volumes is equivalent to the ratio of their corresponding lengths (whether it's width, height, length, radius, etc) cubed.

Here, we know the cones are similar, and we know the smaller radius is 2 and the larger radius is 3. Then the ratio of the volume of the smaller one to the volume of the larger one is $(2/3)^3=8/27$ .

We also know the actual volume of the larger cone is 66. So, if x is the volume of the smaller cone, we have the proportion:

x / 66 = 8 / 27

Cross-multiply:

27x = 66 * 8 = 528

Divide by 27:

x = 528/27 ≈ 19.6

The answer is thus 19.6 cubic centimeters.

<em>~ an aesthetics lover</em>

3 0

3 years ago