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-Dominant- [34]
3 years ago
8

Simplify: (14^6*15^5)/(35^6*6^5)​

Mathematics
1 answer:
topjm [15]3 years ago
3 0

Answer:

2/5

Step-by-step explanation:

=(2*7)^6 * (3*5)^5/ (7*5)^6 * (2*3)^5

=(2^6 * 7^6) * ( 3^5 * 5^5) / (7^6 * 5^6) * ( 2^5* 3^5)

=2^5 * 2^1 * 5^5/ 5^5 * 5^1 *2^5

=2/5

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Consider the differential equation: xy′(x2+7)y=cos(x)+e3xy. Put the differential equation into the form: y′+p(x)y=g(x), determin
icang [17]

Answer:

Linear and non-homogeneous.

Step-by-step explanation:

We are given that

\frac{xy'}{(x^2+7)y}=cosx+\frac{e^{3x}}{y}

We have to convert into y'+P(x)y=g(x) and determine P(x) and g(x).

We have also find type of differential equation.

y'=\frac{(x^2+7)y}{x}(cosx+\frac{e^{3x}}{y}}

y'=\frac{(x^2+7)cosx}{x}y+\frac{(x^2+7)e^{3x}}{x}

y'-\frac{cosx(x^2+7)}{x}y=\frac{e^{3x}(x^2+7)}{x}

It is linear differential equation because  this equation is of the form

y'+P(x)y=g(x)

Compare it with first order first degree linear differential equation

y'+P(x)y=g(x)

P(x)=-\frac{cosx (x^2+7)}{x},g(x)=\frac{e^{3x}(x^2+7)}{x}

\frac{dy}{dx}=\frac{(x^2+7)(ycosx+e^{3x})}{x}

Homogeneous equation

\frac{dy}{dx}=\frac{f(x,y)}{g(x,y)}

Degree of f and g are same.

f(x,y)=(x^2+7)(ycosx+e^{3x}),g(x,y)=x

Degree of f and g are not same .

Therefore, it is non- homogeneous .

Linear and non-homogeneous.

3 0
3 years ago
Find the area of the figure,<br>(Sides meet at night angles.)<br><br>​
Pavel [41]

Answer:

15 in^2

Step-by-step explanation:

Find the area of the vertical rectangle

A = l*w

A = 6*2 = 12 in^2

Now find the area of the horizontal rectangle

A = l*w

   = 3*1 = 3in^2

Add them together

12+3 =15 inch^2

5 0
3 years ago
Read 2 more answers
The point(0, 0) is a solution to which of these inequalities?
Leto [7]

Answer:

Step-by-step explanation:

Y-4<3x-1

5 0
3 years ago
A right cone has a slant height of 17 feet, and the diameter of the base is 16 feet. What is the height, h, of the cone?
Pepsi [2]

The height of the cone is 18.79 ft.

Step-by-step explanation:

Given,

The slant height (l) of the cone = 17 ft

The diameter = 16 ft

So, the radius (r) = 8 ft

To find the height (h) of the cone.

Formula

By Pythagoras theorem,

Perpendicular²+ base² = height²

Now,

Height² = 17²+8²

= 289+64

= 353

h = \sqrt{353} - 18.7888 = 18.79 (approx)

Hence,

The height of the cone is 18.79 ft.

3 0
3 years ago
If an area can be washed at a rate of 3,600 cm2/minute, how many square inches can be washed per hour? Enter your answer with th
r-ruslan [8.4K]

Answer:

276923 square inches

Step-by-step explanation:

I probably got it wrong to be honest

4 0
4 years ago
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