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vekshin1
2 years ago
9

If 3 units equal 3 feet, what is the value of 1 unit?

Mathematics
1 answer:
aleksklad [387]2 years ago
5 0

Answer:1 foot

If 3 units equal 3 feet, what is the value of 1 unit?

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Max z = 3x1 + 5x2 subject to: 7x1 + 12x2 ≤ 136 3x1 + 5x2 ≤ 36 x1, x2 ≥ 0 and integer find the optimal solution. what is the valu
Reptile [31]
The second constraint is the same as the objective function, so your problem boils down to finding integer solutions to
.. 3x1 +5x2 = 36

There are 3 solutions. They are (x1, x2) = (12, 0), (7, 3), (2, 6)

The value of the objective function there is (obviously) 36.
4 0
3 years ago
Let C = C1 + C2 where C1 is the quarter circle x^2+y^2=4, z=0,from (0,2,0) to (2,0,0), and where C2 is the line segment from (2,
trapecia [35]
Not much can be done without knowing what \mathbf F(x,y,z) is, but at the least we can set up the integral.

First parameterize the pieces of the contour:

C_1:\mathbf r_1(t_1)=(2\sin t_1,2\cos t_1,0)
C_2:\mathbf r_2(t_2)=(1-t_2)(2,0,0)+t_2(3,3,3)=(2+t_2, 3t_2, 3t_2)

where 0\le t_1\le\dfrac\pi2 and 0\le t_2\le1. You have

\mathrm d\mathbf r_1=(2\cos t_1,-2\sin t_1,0)\,\mathrm dt_1
\mathrm d\mathbf r_2=(1,3,3)\,\mathrm dt_2

and so the work is given by the integral

\displaystyle\int_C\mathbf F(x,y,z)\cdot\mathrm d\mathbf r
=\displaystyle\int_0^{\pi/2}\mathbf F(2\sin t_1,2\cos t_1,0)\cdot(2\cos t_1,-2\sin t_1,0)\,\mathrm dt_1
{}\displaystyle\,\,\,\,\,\,\,\,+\int_0^1\mathbf F(2+t_2,3t_2,3t_2)\cdot(1,3,3)\,\mathrm dt_2
5 0
3 years ago
find the difference between the sum of all eight positive intergral divisors of 66 and the sum of all eight positive integral di
katrin [286]

The difference between the sum of all eight positive integral divisors of 66 and the sum of all eight positive integral divisors of 70 is zero.

<h3>How to find the difference between the integral divisors?</h3>

First let's find the integral divisors. We can write 66 as a product of prime numbers as:

66 = 33*2 = 2*3*11

Then the integral divisors of 66 are:

2

3

11

2*3 = 6

2*11 = 22

3*11 = 33

1 (trivially)

66 (trivially)

The sum gives:

2 + 3 + 11 + 6 + 22 +33 + 1 + 66 = 144

For 70 we have:

70 = 7*10 = 2*5*7

Then the integral divisors are:

1

70

2

5

7

2*5 = 10

2*7 = 14

5*7 = 35

The sum gives:

1 + 70 + 2 +5 + 7 + 10 + 14 + 35 = 144

Then the difference between these two sums is:

144 - 144 = 0

If you want to learn more about integral divisors:

brainly.com/question/4785696

#SPJ1

7 0
1 year ago
3x-2y&lt;10 <br> in a graph<br> graphing linear equalities
faltersainse [42]

Answer:

I hope it will help you!

Step-by-step explanation:

5 0
3 years ago
One day at 3:00 a.m., the temperature was -13°F in Kodiak, Alaska. At 10:00 a.m., the temperature was 22°F. What was the average
suter [353]
-13 to 0 = 13 degrees changed. 0 to 22 is 22 degrees changed. 13 + 22 = 35 degree change.

10-3 = 7.

So there was a change of 35 degrees across 7 hours

35/7 = 5 degrees per hour.
6 0
3 years ago
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