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
blagie [28]
4 years ago
13

Hey student government organization is selling Christmas trees as a fundraiser on Friday they sold five noble fir trees and thre

e Douglas fir trees for a total of $420 on Saturday 12 noble fir trees and nine Douglas fir trees were sold for a total of 1080 what is the cost per tree of each type
Mathematics
1 answer:
Zinaida [17]4 years ago
6 0
420 didved by 2 (Friday and Saturday) equals (=) 210

You might be interested in
Addie selects from 12 shirts, 4 pair of pants, 5 jackets and 2 pair of shoes. How many possible outfits can she make?
choli [55]

Answer:

480

Step-by-step explanation:

All you have to do is multiply all the numbers together.

12 * 4 * 5 * 2 = 480

8 0
3 years ago
Help please thanks so much
Murljashka [212]

Answer:

i think sample 1 and 2

Step-by-step explanation:

I think it is but i am not sure it could also be none because depending on the way u think of it it could be a little variability

8 0
3 years ago
HURRY!!!!! For the given central angle, determine the distance traveled along the unit circle from the point (1, 0). 16 degrees
Law Incorporation [45]

Answer:

c. (-0.82, -0.57)

Step-by-step explanation:

6 0
3 years ago
Use the Divergence Theorem to evaluate S F · dS, where F(x, y, z) = z2xi + y3 3 + sin z j + (x2z + y2)k and S is the top half of
kifflom [539]

Looks like we have

\vec F(x,y,z)=z^2x\,\vec\imath+\left(\dfrac{y^3}3+\sin z\right)\,\vec\jmath+(x^2z+y^2)\,\vec k

which has divergence

\nabla\cdot\vec F(x,y,z)=\dfrac{\partial(z^2x)}{\partial x}+\dfrac{\partial\left(\frac{y^3}3+\sin z\right)}{\partial y}+\dfrac{\partial(x^2z+y^2)}{\partial z}=z^2+y^2+x^2

By the divergence theorem, the integral of \vec F across S is equal to the integral of \nabla\cdot\vec F over R, where R is the region enclosed by S. Of course, S is not a closed surface, but we can make it so by closing off the hemisphere S by attaching it to the disk x^2+y^2\le1 (call it D) so that R has boundary S\cup D.

Then by the divergence theorem,

\displaystyle\iint_{S\cup D}\vec F\cdot\mathrm d\vec S=\iiint_R(x^2+y^2+z^2)\,\mathrm dV

Compute the integral in spherical coordinates, setting

\begin{cases}x=\rho\cos\theta\sin\varphi\\y=\rho\sin\theta\sin\varphi\\z=\rho\cos\varphi\end{cases}\implies\mathrm dV=\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi

so that the integral is

\displaystyle\iiint_R(x^2+y^2+z^2)\,\mathrm dV=\int_0^{\pi/2}\int_0^{2\pi}\int_0^1\rho^4\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi=\frac{2\pi}5

The integral of \vec F across S\cup D is equal to the integral of \vec F across S plus the integral across D (without outward orientation, so that

\displaystyle\iint_S\vec F\cdot\mathrm d\vec S=\frac{2\pi}5-\iint_D\vec F\cdot\mathrm d\vec S

Parameterize D by

\vec s(u,v)=u\cos v\,\vec\imath+u\sin v\,\vec\jmath

with 0\le u\le1 and 0\le v\le2\pi. Take the normal vector to D to be

\dfrac{\partial\vec s}{\partial v}\times\dfrac{\partial\vec s}{\partial u}=-u\,\vec k

Then we have

\displaystyle\iint_D\vec F\cdot\mathrm d\vec S=\int_0^{2\pi}\int_0^1\left(\frac{u^3}3\sin^3v\,\vec\jmath+u^2\sin^2v\,\vec k\right)\times(-u\,\vec k)\,\mathrm du\,\mathrm dv

=\displaystyle-\int_0^{2\pi}\int_0^1u^3\sin^2v\,\mathrm du\,\mathrm dv=-\frac\pi4

Finally,

\displaystyle\iint_S\vec F\cdot\mathrm d\vec S=\frac{2\pi}5-\left(-\frac\pi4\right)=\boxed{\frac{13\pi}{20}}

6 0
4 years ago
If P(A) = 1/6 , P(B) = 5/12, and P(A\B) + P(B\A) = 7/10 Find P(AUB)
Nesterboy [21]

Probability is the likelihood or chance that an event will occur. The probability of P(AUB) is 1/2

<h3>Conditional probability</h3>

Probability is the likelihood or chance that an event will occur. Given the following parameters

If P(A) = 1/6

P(B) = 5/12

P(A\B) + P(B\A) = 7/10

Required

p(AUB)

Recall that:

P(A|B)=P(AnB)/P(B)

P(B|A) = P(BnA)/P(A)

P(AnB)/P(B) + P(BnA)/P(A) = 7/10
12/5P(AnB) + 6P(BnA) = 7/10

42/5P(BnA) = 7/10
6/5P(BnA) = 1/10
6P(BnA) = 1/2
P(BnA) = 1/12

<u>Determine P(AUB)</u>

P(AUB) = P(A) + P(B) - P(AnB)
P(AUB) = 1/6 + 5/12 - 1/12
P(AUB) = 1/6 + 4/12
P(AUB) = 2+4/12
P(AUB) = 1/2

Hence the probability of P(AUB) is 1/2

Learn more on probability here: brainly.com/question/24756209

6 0
3 years ago
Other questions:
  • Please help me. 100 points for all answers. But u HAVE TO ANSWER THEM ALL OR BE REPORTED!
    13·1 answer
  • What are the solutions of the equation? Graph and check the solutions.<br><br> | x | + 10 = 1
    15·2 answers
  • The side of a square is 2 7/2 inches. Using the area formula A = s2, determine the area of the square.
    12·2 answers
  • One urn contains one blue ball (labeled b1) and three red balls (labeled r1, r2, and r3). a second urn contains two red balls (r
    5·2 answers
  • Which are the solutions of x2 = –5x + 8?
    14·1 answer
  • PLEASE HELP LIKE SERIOUSKY
    12·2 answers
  • Five packets of almonds cost 2m dollars. Mandy buys 3 packets of almonds.
    5·1 answer
  • Sherly's Plumbing and Howard's Plumbing have different
    8·1 answer
  • Please please help help please please help me
    8·2 answers
  • What is 8,ooo plus 10,000​
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!