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2 years ago

What is the base unit of measurement for capcity?

Mathematics

2 answers:

Dominik [7]2 years ago

6 0

Answer:

Units of Capacity (Volume)

The basic unit of volume or capacity is the litre. The most commonly used units in cooking are the litre and the millilitre.

zysi [14]2 years ago

6 0

The basic unit of volume or capacity is the litre.

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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

5 0

2 years ago

Asap, round to nearest tenth

Amiraneli [1.4K]

Answer:

Step-by-step explanation:

6 0

2 years ago

Write the slope-intercept form of an equation that passes through the given points.<br> (4,1),(8,2)

Talja [164]

Answer:

y = 1/4x or y = 0.25x

Step-by-step explanation:

In this question, we are trying to write an equation with the given points.

To solve this question, we would use the slope formula: y2-y1/x2-x1

Find the slope by plugging in variables:

2-1/8-4

1/4 = m

The slope would be 1/4

Find the y intercept:

To find the y-intercept, you would need to use the slope you've found and one point, and plug it into the slope-intercept equation:

1 = 1/4(4) + b

Solve:

1 = 1/4(4) + b

1 = 1 + b

Subtract 1 from both sides

0 = b

This means that the y-intercept is 0.

Our equation will be: y = 1/4x

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2 years ago

Choose the fraction that has not been reduced 10-19, 15-16,19-38,21-34

BartSMP [9]

19/38 is not reduces. Numerator and denominator can be divided by 19.
It can be reduced to 1/2

4 0

2 years ago

I need help asap :):)):

slega [8]

Answer:

Its to multiply the numerators by each other and the denominators by each other

Step-by-step explanation:

If adding and subtracting fractions is about finding the least common denominator

dividing fractions is to keep the first fraction,multiply and reverse the second fraction,so dividing is pretty similar to multiplying but just switching the divide sign with a multiplication sign and reversing the second fraction from numerator/denominator to denominator/numerator

and there is always a big difference if you multiply/divide or add/subtract

4 0

2 years ago