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
nydimaria [60]
3 years ago
5

Convert 4 miles into yards there are 3,520 yards in 2 miles

Mathematics
1 answer:
o-na [289]3 years ago
8 0

Answer:

7,040

Step-by-step explanation:

2 miles is half of 4 miles so you would multiply 3,520 yards by 2.

You might be interested in
I thought of a number, subtracted it from 6 1/4 , multiplied the difference by 1 2/3 and then by 2 4/5 . The result was the same
Contact [7]
(x-6.25)×1.6667×2.8=146÷5.2143
((146÷5.2143)÷(1.6667×2.8))+6.27=x
8 0
4 years ago
Read 2 more answers
\int\limits^0_\pi {x*sin^{m} (x)} \, dx
Ket [755]

Let

I(m) = \displaystyle \int_0^\pi x\sin^m(x)\,\mathrm dx

Integrate by parts, taking

<em>u</em> = <em>x</em>   ==>   d<em>u</em> = d<em>x</em>

d<em>v</em> = sin<em>ᵐ </em>(<em>x</em>) d<em>x</em>   ==>   <em>v</em> = ∫ sin<em>ᵐ </em>(<em>x</em>) d<em>x</em>

so that

I(m) = \displaystyle uv\bigg|_{x=0}^{x=\pi} - \int_0^\pi v\,\mathrm du = -\int_0^\pi \sin^m(x)\,\mathrm dx

There is a well-known power reduction formula for this integral. If you want to derive it for yourself, consider the cases where <em>m</em> is even or where <em>m</em> is odd.

If <em>m</em> is even, then <em>m</em> = 2<em>k</em> for some integer <em>k</em>, and we have

\sin^m(x) = \sin^{2k}(x) = \left(\sin^2(x)\right)^k = \left(\dfrac{1-\cos(2x)}2\right)^k

Expand the binomial, then use the half-angle identity

\cos^2(x)=\dfrac{1+\cos(2x)}2

as needed. The resulting integral can get messy for large <em>m</em> (or <em>k</em>).

If <em>m</em> is odd, then <em>m</em> = 2<em>k</em> + 1 for some integer <em>k</em>, and so

\sin^m(x) = \sin(x)\sin^{2k}(x) = \sin(x)\left(\sin^2(x)\right)^k = \sin(x)\left(1-\cos^2(x)\right)^k

and then substitute <em>u</em> = cos(<em>x</em>) and d<em>u</em> = -sin(<em>x</em>) d<em>x</em>, so that

I(2k+1) = \displaystyle -\int_0^\pi\sin(x)\left(1-\cos^2(x)\right)^k = \int_1^{-1}(1-u^2)^k\,\mathrm du = -\int_{-1}^1(1-u^2)^k\,\mathrm du

Expand the binomial, and so on.

8 0
3 years ago
Pls Help Find the area of the trapezoids
MariettaO [177]

Answer:

The area of the trapezoid is 10.5

6 0
3 years ago
Read 2 more answers
Find the value of each trigonometric ratio.
irina1246 [14]

Answer:

Sin x = 0.6

Step-by-step explanation:

Sin x = opp/hyp = 24/40 = 0.6

7 0
3 years ago
Solve the equation. 5y - 10 = -25
algol [13]

Answer: 5y-10= -25

5y -10+10= -25 +10

Step-by-step explanation:

8 0
3 years ago
Read 3 more answers
Other questions:
  • Which of the following best describes the shape of the apartment building below
    5·2 answers
  • The sales tax on a new camera is $5.60, which is 8% of the total price.
    12·1 answer
  • Two angles of a quadrilateral measure 40° and 100°. The other two angles are in a ratio of 7:15. What are the measures of those
    8·1 answer
  • How many thirds are in 3 wholes
    9·2 answers
  • Which of the following statements is true of a transversal?
    12·1 answer
  • PLEASE HELP ASAP!! WILL MARK AS BRAINLIEST!!<br><br> 2+3(x-5)=15
    8·1 answer
  • Identify which segment is the htpotenuse<br><br>1)xy<br>2)yz<br>3)xz<br>4)none of the above​
    10·1 answer
  • The perimeter of a rectangular painting is 304 centimeters. If the length of the painting is 85 centimeters, what is its width?
    14·1 answer
  • At otto’s the markup is 15% of the buying price.the commission at Otto’s is 20%of the markup.huan wonders whether he will get hi
    12·1 answer
  • The coordinates of the vertices of a rectangle are (−5, 2), (−5, −2 1/3 ), (2 1/2 , 2), and (2 1/2 , −2 1/3 ). Find the perimete
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!