1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vladimir2022 [97]
3 years ago
5

8/9 divided by 7/5 x 3/16

Mathematics
1 answer:
nadya68 [22]3 years ago
4 0
This might be wrong but I got 120/1008
You might be interested in
Evaluate the integral of the quantity x divided by the quantity x to the fourth plus sixteen, dx . (2 points) one eighth times t
Anika [276]

Answer:

\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}*arctan(\frac{x^2}{4}) + c

Step-by-step explanation:

Given

\int\limits {\frac{x}{x^4 + 16}} \, dx

Required

Solve

Let

u = \frac{x^2}{4}

Differentiate

du = 2 * \frac{x^{2-1}}{4}\ dx

du = 2 * \frac{x}{4}\ dx

du = \frac{x}{2}\ dx

Make dx the subject

dx = \frac{2}{x}\ du

The given integral becomes:

\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{x}{x^4 + 16}} \, * \frac{2}{x}\ du

\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{1}{x^4 + 16}} \, * \frac{2}{1}\ du

\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{x^4 + 16}} \,\ du

Recall that: u = \frac{x^2}{4}

Make x^2 the subject

x^2= 4u

Square both sides

x^4= (4u)^2

x^4= 16u^2

Substitute 16u^2 for x^4 in \int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{x^4 + 16}} \,\ du

\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{16u^2 + 16}} \,\ du

Simplify

\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{16}* \frac{1}{8u^2 + 8}} \,\ du

\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{2}{16}\int\limits {\frac{1}{u^2 + 1}} \,\ du

\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}\int\limits {\frac{1}{u^2 + 1}} \,\ du

In standard integration

\int\limits {\frac{1}{u^2 + 1}} \,\ du = arctan(u)

So, the expression becomes:

\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}\int\limits {\frac{1}{u^2 + 1}} \,\ du

\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}*arctan(u)

Recall that: u = \frac{x^2}{4}

\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}*arctan(\frac{x^2}{4}) + c

4 0
3 years ago
6 radians is the same as what degree
olya-2409 [2.1K]
1~radian=\frac{180}{\pi}degrees\\\\1~degree=\frac{\pi}{180}radians
8 0
3 years ago
Read 2 more answers
19
nadya68 [22]

Area of the plot = 193 sq.yd.  , Option B is the correct answer.

<h3>What is Area ?</h3>

Area is the space occupied by a flat surface or an object .

It is measured in square units

It has wide daily life importance like in the question mentioned , a plot will be measured in area of the space.

It is given that

A developer buys an empty lot to build a small house.

area of the lot = ?

The figure is incomplete and the complete figure is attached with the answer.

To determine the area the figure needs to be divided into triangles and rectangles as shown in the figure

Area of the first triangle = (1/2) * base * height

By Calculation

base = 17 unit and height = 10 unit

= (1/2) * 17 * 10

= 17*5

=85 sq.unit

Area of the second triangle = (1/2)* 9* 8

=36 sq. unit

Area of the rectangle = base * height

base = 9 unit and height = 7 unit

Area = 9*7= 63 sq.unit

Area of the last triangle = (1/2) * 2*9

= 9 unit

The area of the plot = 85+36+63+9

Area of the plot = 193 sq.yd.

Therefore , Option B is the correct answer.

To know more about Area

brainly.com/question/27683633

#SPJ1

4 0
1 year ago
At a certain college, there were 600 science majors, 300 engineering majors, and 800 business majors. If one student was selecte
atroni [7]
3/17 should be the answer.
3 0
3 years ago
Read 2 more answers
Which equation would match the table the most?? pls help ☠️☠️
AVprozaik [17]
X-4y=13 would match the best
3 0
1 year ago
Other questions:
  • What is<br> What is the measure of angle B?<br> A. 30°<br> C. 35°
    14·1 answer
  • Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answ
    6·1 answer
  • Any help please and thank you (picture included)
    15·1 answer
  • The sum of four consecutive numbers is 186. What is the<br> second smallest number?
    13·2 answers
  • 3|3k|= 27 PLEASE HELP!
    14·1 answer
  • Which statement correctly explains whether Limit of h (x) as x approaches 9 exists?
    14·2 answers
  • PLEASE HELP NO TROLLS<br> 5. Find the measure of angle A. *
    10·1 answer
  • The paper scissors pencils stickers and paint belong on the top shelf of the craft closet.
    11·2 answers
  • Solve the radical equation.<br> √x − 1 + 5 = 9
    10·2 answers
  • Write as an algebraic expression and then simplify if possible :<br><br> the sum of x and x+3
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!