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3 years ago

Simplify. Please select the best answer from the choices provided

Mathematics

2 answers:

ehidna [41]3 years ago

6 0

The answer is 3 because 1/3 of 3 is 1 and 1/3 of 9 is 3 and 3 times 1 is 3

Answer: 3

Snezhnost [94]3 years ago

4 0

$3^{\frac{1}{3}} \times 9^{\frac{1}{3}} =$

$= 3^{\frac{1}{3}} \times (3^2)^{\frac{1}{3}}$

$= 3^{\frac{1}{3}} \times 3^{\frac{2}{3}}$

$= 3^{\frac{1}{3} + \frac{2}{3}}$

$= 3^1$

$= 3$

Answer: C. 3

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A is an m×n matrix.Check the true statements below:A. The kernel of a linear transformation is a vector space.B. If the equation

Bess [88]

Answer:

Results are (1) True. (2) False. (3) False. (4) True. (5) True. (6) True.

Step-by-step explanation:

Given A is an $m\times n$ matrix. Let $T :U\to V$ be the corresponding linear transformationover the field F and $\theta$ be identity vector in V. Now if $x\in Ker( T)\implies T(x)=\theta$ .

(1) The kernel of a linear transformation is a vector space : True.

Let $x,y\in Ker( T)$ , then,

$T(x+y)=T(x)+T(y)=\theta+\theta=\theta\impies x+y\in Ker( T)$

hence the kernel is closed under addition.

Let $\lambda\in F, x\in Ker( T)$ , then

$T(\lambda x)=\lambda T(x)=\lambda\times \theta=\theta$

$\lambda x\in Ker(T)$ and thus Ket(T) is closed under multiplication

Finally, fore all vectors $u\in U$ ,

$T(\theta)=T(\theta+(-\theta))=T(\theta)+T(-\theta)=T(\theta)-T(\theta)=\theta$

$\implies \theta\in Ker(T)$

Thus Ker(T) is a subspace.

(2) If the equation Ax=b is consistent, then Col(A) is $\mathbb R^m$ : False

if the equation Ax=b is consistent, then Col(A) must be consistent for all b.

(3) The null space of an mxn matrix is in $\mathbb R^m$

: False

The null space that is dimension of solution space of an m x n matrix is always in $\mathbb R^n$ .

(4) The column space of A is the range of the mapping $x\to Ax$

: True.

(5) Col(A) is the set of all vectors that can be written as Ax for some x. : True.

Here Ax will give a linear combination of column of A as a weights of x.

(6) The null space of A is the solution set of the equation Ax=0.

: True

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3 years ago

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umka21 [38]

Answer:

Please where are the boxes

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3 years ago

What is the volume of a cylinder with a base radius of 2 and height of 6 ?

vodomira [7]

Answer:

V = 24pi

or 75.36 ( using 3.14 for pi)

or 75.39822369 ( using the pi button)

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

We know the radius and the height

V = pi (2)^2 * 6

V = pi 4*6

V = 24 pi

If we approximate pi by 3.14

V = 3.14 * 24 = 75.36

If we use the pi button

V =75.39822369

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3 years ago

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a new car is purchased for 207000 dollars. the value of the car depreciates at 11% per year. what will the value of the car be,

kicyunya [14]

Depreciation of 11% per year means that the price is multiplied by 89% (0.89) every year. Do this 11 times or use exponents

Final price:
207000*(0.89^11) = 57446.083

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3 years ago

Show me how to Graph y = 3x + 2

melisa1 [442]

This what it should look like. did you need the steps or no ?

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