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3 years ago

How does place value help you divide

Mathematics

2 answers:

Shkiper50 [21]3 years ago

6 0

Place value helps Bc it's gives you a better view or perspective of the problem

telo118 [61]3 years ago

3 0

Place value helps you divide by helping you visualize the numbers your dividing

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Find the Jacobian ∂(x, y, z) ∂(u, v, w) for the indicated change of variables. If x = f(u, v, w), y = g(u, v, w), and z = h(u, v

jeyben [28]

Answer:

The Jacobian ∂(x, y, z) ∂(u, v, w) for the indicated change of variables

= -3072uv

Step-by-step explanation:

Step :-(i)

Given x = 1 6 (u + v) …(i)

Differentiating equation (i) partially with respective to 'u'

$\frac{∂x}{∂u} = 16(1)+16(0)=16$

Differentiating equation (i) partially with respective to 'v'

$\frac{∂x}{∂v} = 16(0)+16(1)=16$

Differentiating equation (i) partially with respective to 'w'

$\frac{∂x}{∂w} = 0$

Given y = 1 6 (u − v) …(ii)

Differentiating equation (ii) partially with respective to 'u'

$\frac{∂y}{∂u} = 16(1) - 16(0)=16$

Differentiating equation (ii) partially with respective to 'v'

$\frac{∂y}{∂v} = 16(0) - 16(1)= - 16$

Differentiating equation (ii) partially with respective to 'w'

$\frac{∂y}{∂w} = 0$

Given z = 6uvw ..(iii)

Differentiating equation (iii) partially with respective to 'u'

$\frac{∂z}{∂u} = 6vw$

Differentiating equation (iii) partially with respective to 'v'

$\frac{∂z}{∂v} =6 u (1)w=6uw$

Differentiating equation (iii) partially with respective to 'w'

$\frac{∂z}{∂w} =6 uv(1)=6uv$

Step :-(ii)

The Jacobian ∂(x, y, z)/ ∂(u, v, w) =

$\left|\begin{array}{ccc}16&16&0\\16&-16&0\\6vw&6uw&6uv\end{array}\right|$

Determinant 16(-16×6uv-0)-16(16×6uv)+0(0) = - 1536uv-1536uv

= -3072uv

Final answer:-

The Jacobian ∂(x, y, z)/ ∂(u, v, w) = -3072uv

6 0

3 years ago

An artist creates a cone-shaped sculpture for an art exhibit. If the sculpture is 8 feet tall and has a

nikitadnepr [17]

Answer:

192.92 ft^3

Step-by-step explanation:

volume of a cone = $\frac{1}{3}$ πr²h

π = 3.14

r = radius ]

h = height

the base of a cone is in the shape of a circle. thus, the circumference of the base is equal to the circumference of a circle

circumference of a circle= 2πr

30.144 = 2 x 3.14 x r

r = 30.144 / 6.28

r = 4.8

Volume = 1/3 x 3.14 x 4.8² x 8 = 192.92 ft^3

8 0

3 years ago

Problem 1 + 10x + 13 = 4

lutik1710 [3]

Answer:

$x = -1$

Step-by-step explanation:

Equation: $1+10x+13=4$

Step 1: Balance both parts of the equation.

$1+10x+13=4$

$(10x)+(1+13)=4$

$10x+14=4$

Step 2: Reduce 14 from both parts of the equation.

$10x+14-14=4-14$

$10x= -10$

Step 3: Split both sides by 10, because $\mathrn {10x = -10}$ .

$\frac{10x}{10} = \frac{-10}{10}$

$10 / -10 = -1$

Therefore, x = -1.

6 0

3 years ago

Please Assist With This Equation *Please Show Work*

Tomtit [17]

Answer:

240 hours

Step-by-step explanation:

One person hour is a unit indicating the rate at which one person is working on the project .

The company estimates that it will take 2880 person- hours to complete the job

So let's determine how many hours it will take 12 workers to complete same job

The rate = 2880 person/hour

12 persons or workers =( 2880 person/hour)/12 persons

12 persons or workers = 2880/12

12 persons or workers=240 hours

It will take 12 workers 240 person hour to finish the project.

Thank you

8 0

3 years ago

How do you calculate the minimised dimensions: length width and height of a rectangular prism with the given volume of 10m^3?

Elan Coil [88]

The length, width and height of the rectangular prism is ∛10

<h3>How to determine the dimensions?</h3>

The volume is given as:

Volume, V = 10m^3

For a minimised volume, we have:

Length = Width = Height

This means that:

V = L^3

So, we have:

L^3 = 10

Take the cube root of both sides

L = ∛10

Hence, the length, width and height of the rectangular prism is ∛10