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3 years ago

What is 067÷ 32.16?

Mathematics

2 answers:

koban [17]3 years ago

8 0

Answer:

2.08

Step-by-step explanation:

choli [55]3 years ago

7 0

Answer:

2.0833333333333

Step-by-step explanation:

use calculator

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Х Х Work out (6 * 10%) = (3 10-) Give your answer in standard form.

Komok [63]

here is the process hope it helps you

7 0

2 years ago

How do i solve that question?

yawa3891 [41]

a) The solution of this ordinary differential equation is $y =\sqrt[3]{-\frac{2}{\frac{3\cdot t}{8}-\frac{\sin 2t}{4}+\frac{\sin 4t}{32}-2 } }$ .

b) The integrating factor for the ordinary differential equation is $-\frac{1}{x}$ .

The particular solution of the ordinary differential equation is $y = \frac{x^{3}}{2}+x^{2}-\frac{5}{2}$ .

<h3>How to solve ordinary differential equations</h3>

a) In this case we need to separate each variable ( $y, t$ ) in each side of the identity:

$6\cdot \frac{dy}{dt} = y^{4}\cdot \sin^{4} t$ (1)

$6\int {\frac{dy}{y^{4}} } = \int {\sin^{4}t} \, dt + C$

Where $C$ is the integration constant.

By table of integrals we find the solution for each integral:

$-\frac{2}{y^{3}} = \frac{3\cdot t}{8}-\frac{\sin 2t}{4}+\frac{\sin 4t}{32} + C$

If we know that $x = 0$ and $y = 1$ , then the integration constant is $C = -2$ .

The solution of this ordinary differential equation is $y =\sqrt[3]{-\frac{2}{\frac{3\cdot t}{8}-\frac{\sin 2t}{4}+\frac{\sin 4t}{32}-2 } }$ . $\blacksquare$

b) In this case we need to solve a first order ordinary differential equation of the following form:

$\frac{dy}{dx} + p(x) \cdot y = q(x)$ (2)

Where:

$p(x)$ - Integrating factor
$q(x)$ - Particular function

Hence, the ordinary differential equation is equivalent to this form:

$\frac{dy}{dx} -\frac{1}{x}\cdot y = x^{2}+\frac{1}{x}$ (3)

The integrating factor for the ordinary differential equation is $-\frac{1}{x}$ . $\blacksquare$

The solution for (2) is presented below:

$y = e^{-\int {p(x)} \, dx }\cdot \int {e^{\int {p(x)} \, dx }}\cdot q(x) \, dx + C$ (4)

Where $C$ is the integration constant.

If we know that $p(x) = -\frac{1}{x}$ and $q(x) = x^{2} + \frac{1}{x}$ , then the solution of the ordinary differential equation is:

$y = x \int {x^{-1}\cdot \left(x^{2}+\frac{1}{x} \right)} \, dx + C$

$y = x\int {x} \, dx + x\int\, dx + C$

$y = \frac{x^{3}}{2}+x^{2}+C$

If we know that $x = 1$ and $y = -1$ , then the particular solution is:

$y = \frac{x^{3}}{2}+x^{2}-\frac{5}{2}$

The particular solution of the ordinary differential equation is $y = \frac{x^{3}}{2}+x^{2}-\frac{5}{2}$ . $\blacksquare$

To learn more on ordinary differential equations, we kindly invite to check this verified question: brainly.com/question/25731911

3 0

3 years ago

The length of rectangular sign is 12 less than twice the width. Its perimeter is 114 ft. Find the length and the width of the si

Ymorist [56]

We have two relations between length and width. One is given in the problem statement. The other is given by the formula for perimeter. We can solve the two equations in two unknowns using substitution.

Let w and l represent the width and length of the sign in feet, respectively.

... l = 2w -12 . . . . . the length is 12 ft less than twice the width

... p = 2(l +w) = 114 . . . . the perimeter is 114 ft

Using the first equation for l, we can substitute for l in the second equation.

... 114 = 2((2w -12) +w)

... 114 = 6w -24 . . . . . . . . simpify

... 138 = 6w . . . . . . . . . . . add 24

... 23 = w . . . . . . . . . . . . . divide by 6

... l = 2w -12 = 2·23 -12 = 34 . . . . use the equation for l to find l

The length and width of the sign are 34 ft and 23 ft, respectively.

7 0

3 years ago

How do u find the area o a pyramid

tankabanditka [31]

Answer:

The surface area of any pyramid can be found by adding the surface area of the base to the surface area of the lateral faces. When working with regular pyramids, you can find the surface area using a formula, as long as you know how to find the area of the base of the pyramid.

6 0

3 years ago

Read 2 more answers

A deposit of $10,000 is made into an account that earns 6% interest. Use

Georgia [21]

Answer:

$19,000

Step-by-step explanation:

The balance is the sum of the principal amount and the interest it earns:

A = P + I

A = P + Prt

A = P(1 +rt)

A = $10,000(1 +.06×15)

A = $19,000 . . . balance after 15 years

3 0

3 years ago

What is 067÷ 32.16?​

What is 067÷ 32.16?