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alina1380 [7]
3 years ago
11

Mr. rancher wants to build a pen for his horse. he wants the pen to be 40 yards long and 50 yards wide. if the fencing comes in

5 foot pieces, how many pieces does mr. rancher need to buy?
Mathematics
1 answer:
fomenos3 years ago
7 0
(50 x 2) + (40 x 2) = 180 yards x 3 = 540 feet of fence needed. 540 / 5 = 108. He will need 108 pieces of fencing 
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For each of the following vector fields F, decide whether it is conservative or not by computing curl F. Type in a potential fun
Burka [1]

Answer:

1,2 and 4 are conservatives

3 is not conservative

Step-by-step explanation:

We calculate  the Curl F

Remember that:

        Curl F = <\frac{dFz}{dy} - \frac{dFy}{dz}, \frac{dFz}{dx} - \frac{dFx}{dz}, \frac{dFy}{dx} - \frac{dFx}{dy}>

1. Curl F = <0,0,5-5> = <0,0,0>

  The potential function f so that  ∇f=F

  f(x,y,z) = -3x^{2} +5xy + 5y^{2}

  Then F is conservative

2. Curl F = < 0, 0 ,0>

  The potential function f so that  ∇f=F

  f(x,y,z) = -3/2x^{2} -y^{2}+z

  Then F is conservative

3. Curl F = <0 ,0, 10+3xsin(y) - (-cos(y))>

              = <0 ,0 , 10 +3xsin(y) + cos(y)<

 How the field's divergence is not zero the vector field is not conservative

4. Curl F = <0, 0, 0>  

  The potential function f so that  ∇f=F

  f(x,y,z) = x^{3}+(5/3)y^{3}+(5/3)z^{3}    

   Then F is conservative

5 0
3 years ago
In 2003, the population of an African country was about 13.1 million people, which is 2 million more than 3 times the population
lianna [129]
3p+2.0=31.1
3p=29.1
p=9.7 million people
7 0
3 years ago
30+ Points!!!<br> 5. Solve the following inequalities.<br> a) 2 log3x – 2 logx3 -3 &lt;0
Ilya [14]

Answer:

I answered your last question also

2 log3x – 2 logx3 -3 <0

\mathrm{Subtract\:}2\log ^3\left(x\right)\mathrm{\:from\:both\:sides}

2\log ^3\left(x\right)-2logx^3-3-2\log ^3\left(x\right)

\mathrm{Simplify}

-2logx^3-3

\mathrm{Add\:}3\mathrm{\:to\:both\:sides}

-2logx^3-3+3

\mathrm{Simplify}

-2logx^3

Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)

\left(-2logx^3\right)\left(-1\right)>-2\log ^3\left(x\right)\left(-1\right)+3\left(-1\right)

\mathrm{Simplify}

2lx^3og>2\log ^3\left(x\right)-3

\mathrm{Divide\:both\:sides\:by\:}2lx^3o;\quad \:l>0

\frac{2lx^3og}{2lx^3o}>\frac{2\log ^3\left(x\right)}{2lx^3o}-\frac{3}{2lx^3o};\quad \:l>0\\

\mathrm{Simplify}

g>\frac{2\log ^3\left(x\right)-3}{2lx^3o};\quad \:l>0

Step-by-step explanation:

6 0
3 years ago
Simplify. –2 • (4) – 3 • (–5) = A. 55 B. 7 C. –23 D. –120
stepan [7]
Your answer to the question is B) 7
3 0
3 years ago
What is , x + 4 + 5x =34
galina1969 [7]
X+4+5x=6x+4
6x+4=34
6x=30 (minus 4 on both sides)
30÷6=5
hence: x=5
4 0
3 years ago
Read 2 more answers
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