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marta [7]
2 years ago
14

Write 2.7 x 10^4 + 120 in scientific notation.

Mathematics
1 answer:
ryzh [129]2 years ago
3 0

Hey there!

2.7 * 10^4 + 120

10^4

= 10 * 10 * 10 * 10

= 100 * 100

= 10,000

2.7 * 10,000 + 120

= 27,000 + 120

= 27,120

Therefore, your answer is. [10,000 * 2.712] because 10,000 * 2.712 is approximately 27,120

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

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I need help. Thank you.
soldier1979 [14.2K]

Answer:

27

Step-by-step explanation:

green is 30%

blue is 50%

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Instructions: Find the measure of the indicated angle to the nearest
bija089 [108]

Since this is a right triangle, we can use one of the three main trigonometric functions: sine, cosine, or tangent.

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6 0
2 years ago
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
3 years ago
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