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
sweet [91]
3 years ago
10

A square has a length of 2x+7 find a simplified expression that represents area

Mathematics
1 answer:
Ivan3 years ago
5 0

Answer:

area = (2x+7)squared

Step-by-step explanation:

You might be interested in
a class is having their picture taken. the photographer positions himself 21 feet from the center of the row of students. When t
Papessa [141]

Answer:

24

Step-by-step explanation:

tbh I am not sure if this is right but here

6 0
3 years ago
Evaluate c (y + 7 sin(x)) dx + (z2 + 9 cos(y)) dy + x3 dz where c is the curve r(t) = sin(t), cos(t), sin(2t) , 0 ≤ t ≤ 2π. (hin
saw5 [17]
Treat \mathcal C as the boundary of the region \mathcal S, where \mathcal S is the part of the surface z=2xy bounded by \mathcal C. We write

\displaystyle\int_{\mathcal C}(y+7\sin x)\,\mathrm dx+(z^2+9\cos y)\,\mathrm dy+x^3\,\mathrm dz=\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r

with \mathbf f=(y+7\sin x,z^2+9\cos y,x^3).

By Stoke's theorem, the line integral is equivalent to the surface integral over \mathcal S of the curl of \mathbf f. We have


\nabla\times\mathbf f=(-2z,-3x^2,-1)

so the line integral is equivalent to

\displaystyle\iint_{\mathcal S}\nabla\times\mathbf f\cdot\mathrm d\mathbf S
=\displaystyle\iint_{\mathcal S}\nabla\times\mathbf f\cdot\left(\dfrac{\partial\mathbf s}{\partial u}\times\dfrac{\partial\mathbf s}{\partial v}\right)\,\mathrm du\,\mathrm dv


where \mathbf s(u,v) is a vector-valued function that parameterizes \mathcal S. In this case, we can take

\mathbf s(u,v)=(u\cos v,u\sin v,2u^2\cos v\sin v)=(u\cos v,u\sin v,u^2\sin2v)

with 0\le u\le1 and 0\le v\le2\pi. Then

\mathrm d\mathbf S=\left(\dfrac{\partial\mathbf s}{\partial u}\times\dfrac{\partial\mathbf s}{\partial v}\right)\,\mathrm du\,\mathrm dv=(2u^2\cos v,2u^2\sin v,-u)\,\mathrm du\,\mathrm dv

and the integral becomes

\displaystyle\iint_{\mathcal S}(-2u^2\sin2v,-3u^2\cos^2v,-1)\cdot(2u^2\cos v,2u^2\sin v,-u)\,\mathrm du\,\mathrm dv
=\displaystyle\int_{v=0}^{v=2\pi}\int_{u=0}^{u=1}u-6u^4\sin^3v-4u^4\cos v\sin2v\,\mathrm du\,\mathrm dv=\pi<span />
4 0
3 years ago
a company that manufactures bicycles has a fixed cost of $80,000. it costs $100 to produce each bicycle. the total cost for the
frez [133]

C(x) = 80000 + 100x is the total cost as function of number of cycles produced

C(90) = 89000 and it costs $ 89000 to produce 90 bicycles

<em><u>Solution:</u></em>

Given that, company that manufactures bicycles has a fixed cost of $80,000

Fixed cost = $ 80,000

Let x be the number of cycles produced

Let C(x) be the total cost as function of number of cycles produced

It costs $100 to produce each bicycle

Variable cost = 100 x number of cycles produced

variable cost = 100x

The total cost for the company is the sum of its fixed cost and variable costs

total cost = fixed cost + variable cost

C(x) = 80000 + 100x

Thus total cost as function of "x" is found

<em><u>Find and interpret C(90)</u></em>

Substitute x = 90 in C(x)

C(90) = 80000 + 100(90)

C(90) = 80000 + 9000

C(90) = 89000

Thus it costs $ 89000 to produce 90 bicycles

3 0
3 years ago
Does anyone know how to do this? And can you also help me with this problem, thank you :)
GenaCL600 [577]
<span>Multiply equation(2) with 4 so that coefficient of become same in both the equations(You can make coefficient of y same and can follow the following procedure.) 
</span><span>* Subtract (3) from (1) 
* </span>Divide both sides by -19
*Subtract 21 from both sides.
*Divide both sides by 4
so the solution is     x= 3 and  y= -7
Hope I helped you :)
6 0
3 years ago
What is the sum of 1 - 0.5 + 899
I am Lyosha [343]

Answer:

899.5

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Molli purchased 8 apples for $4.25.
    9·1 answer
  • Find the 7th term in the sequence<br> with the following definition:<br> a1 = 64<br> |<br> 0
    7·1 answer
  • A slow pitch softball diamond is actually a square 60 ft on a side. how far is it from home to second ​base?
    6·1 answer
  • Convert to liters: 41,000 milliliter
    15·2 answers
  • Graphing Logarithmic Function In Exercise,sketch the graph of the function.See example 1.
    11·1 answer
  • I have the other two answers. i just need the maximum height. please
    6·1 answer
  • the price for internet on the phone at least $9 a month with starting November the price will be 11.34 what is the % increase​
    7·1 answer
  • The length of each side of the equilateral triangle is 10. what is the length of altitude h?
    6·1 answer
  • Convert 15 yards per hour to inches per hour.
    7·1 answer
  • HELP NEEDED !!<br> Find the size of the unknown angles
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!