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3 years ago

What is the simplified form of the following expression? (n5)(n2)

Mathematics

1 answer:

Hatshy [7]3 years ago

5 0

In exponent multiplication, When the bases are the same you ADD the power so it is n^7

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Calculate:<br> √5/2-√5+2/2+√5

klio [65]

-√5/2+√5+1
-√5/2+2√5/2+1
√5/2+1
(√5+2)/2

4 0

3 years ago

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Can somebody answer this?

allsm [11]

Let us find the area of the triangle first.

6 x 8 / 2 = 24 ft²

Now we can do the semi circle. Note that it is a semi circle and not a circle.

1/2π(4²) = 8π = 25.12 ft²

Add the areas up to find the area for the figure.

24+25.12 = 49.12 ft²

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3 years ago

What value of x makes this equation true? 12x - 15 = 6 - 3x

m_a_m_a [10]

Answer:

12x - 15 = 6 -3x (add 3x to both sides)

15x - 15 =6 (add 15 to both sides)

15x= 21 (divide both sides by 15 to get x alone)

x= 1.4 (the answer)

5 0

2 years ago

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The matrix A= (−3 0 1, 2 −4 2, −3 −2 1) has one real eigenvalue. Find this eigenvalue, its multiplicity, and the dimension of th

Aliun [14]

Answer:

a) -4

b) 1

c) 1

Step-by-step explanation:

a) The matrix A is given by:

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

to find the eigenvalues of the matrix you use the following:

$det(A-\lambda I)=0$

where lambda are the eigenvalues and I is the identity matrix. By replacing you obtain:

$A-\lambda I=\left[\begin{array}{ccc}-3-\lambda&0&1\\2&-4-\lambda&2\\-3&-2&1-\lambda\end{array}\right]$

and by taking the determinant:

$[(-3-\lambda)(-4-\lambda)(1-\lambda)+(0)(2)(-3)+(2)(-2)(1)]-[(1)(-4-\lambda)(-3)+(0)(2)(1-\lambda)+(2)(-2)(-3-\lambda)]=0\\\\-\lambda^3-6\lambda^2-12\lambda-16=0$

and the roots of this polynomial is:

$\lambda_1=-4\\\\\lambda_2=-1+i\sqrt{3}\\\\\lambda_3=-1-i\sqrt{3}$

hence, the real eigenvalue of the matrix A is -4.

b) The multiplicity of the eigenvalue is 1.

c) The dimension of the eigenspace is 1 (because the multiplicity determines the dimension of the eigenspace)

3 0

2 years ago

Ralph runs at a constant rate of 3 miles per hour how long will it take Ralph to run 15 miles

LenaWriter [7]

15/3=5 hours is your answer

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3 years ago

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