An airplane ascends from the ground at an angle

A shopping bag contains six orange juice boxes and four grape juice boxes. Without

juin [17]

Answer:

6/25 i think

Step-by-step explanation:

5 0

3 years ago

Sarah and her family just got back from vacation they had been travelling for 3 days driving 8 1/2 hours each day how many hours

sergeinik [125]

3×8.5= 25.5 hours all together

6 0

3 years ago

Thirty-six and fifty-two thousandths as a decimal number

dimaraw [331]

In decimal form that would be 36.052

5 0

3 years ago

Consider the following problem: A farmer with 950 ft of fencing wants to enclose a rectangular area and then divide it into four

Alina [70]

Answer:

Step-by-step explanation:

(a)

Suppose we came up with an ideology whereby we pick a value for the length including the length dividing the inside into 4 parts(5 parallel sides), then we can get the value for breath by using the following process.

Let assume the length of the rectangle is 50;

Then, the breath can be calculated as follows:

= 50 × 5 = 250 ( since the breath is divided into 5 parallel sides)

The fencing is said to be 950 ft

So, 950 - 250 = 700

Then divided by 2, we get:

= 700/2

= 350

So for the first diagram; the length = 50 and the breath = 350

The area = 50 × 350 = 17500 ft²

Now, let's go up a little bit.

If the length increase to 100;

Then 100 × 5 = 500

⇒ 950 - 500 = 450

⇒ 450/2 = 225

The area = 225 × 100 = 22500 ft²

Suppose the length increases to 150

Then 150 × 5 = 750

⇒ 950 - 750 = 200

⇒ 200/2 = 100

The area = 150 × 100 = 15000 ft²

The diagrams for each of the outline above can be seen in the image attached below.

(b) The diagram illustrating the general solution can be seen in the second image provided below.

(c) The expression for the total area A in terms of both x and y is:

Area A = x×y

(d) Recall that:

The fencing is said to be 950 ft.

And the length is divided inside into 5 parallel sides;

Then:

5x + 2y = 950 (from the illustration in the second image below)

2y = 950 - 5x

$y = \dfrac{950}{2} - \dfrac{5}{2}x$

$y = 475- \dfrac{5}{2}x$

(e)

From (c); replace the value of y in (d) into (c)

Then:

Area A = x×y

$f(x)= x\times ( 475 -\dfrac{5}{2}x)$

Open brackets

$f(x)= ( 475 x-\dfrac{5}{2}x^2)$

(f)

By differentiating what we have in (e)

$f(x)= ( 475 x-\dfrac{5}{2}x^2)$

$f'(x)= ( 475 (1)-\dfrac{5}{2}(2x))$

$f'(x)= 475 -5x$

$\implies 475 = 5x$

x = 475/5

x = 95

From (d):

$y = 475- \dfrac{5}{2}x$

$y = 475- \dfrac{5}{2}(95)$

$y =237.5$

∴

Area A = x × y

Area A = 95 × 237.5

Area A = 22562.5 ft²

5 0

3 years ago

Solve differential equation. Just explain the first 2 steps

lutik1710 [3]

(1) will write us of the following form

$\dfrac{dy}{dx}+y^2\sin x=0\\ \\
$

(2) [do not it need explanation]

$\dfrac{dy}{dx}=-y^2\sin x\\ \\
$

(3) Left place variable "y" and right place, variable "x" like this

$\dfrac{dy}{y^2}=-\sin x\, dx\\ \\$

(4) Integrate both members

$\displaystyle
\int \dfrac{dy}{y^2}=\int-\sin x\, dx\\ \\$

(5) Solve us the integrals

$-\dfrac{1}{y}= \cos x+C$

(6) Isolate variable "y"

$\boxed{y=-\dfrac{1}{\cos x+C}}$

C: any cosntant

4 0

3 years ago