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GuDViN [60]
3 years ago
5

} " alt="v = \frac{er}{r + a} " align="absmiddle" class="latex-formula">
solve for r
will give the brainliest​
Mathematics
2 answers:
choli [55]3 years ago
7 0

Answer:

The answer is

r =  -  \frac{va}{v - e}

Step-by-step explanation:

You have to get rid of fraction first :

v =  \frac{er}{r + a}

v(r + a) = er

vr + va = er

Next, you have to move all the r-variables to one side :

vr + va = er

vr - er =  - va

Lastly, make r the subject :

vr - er =  - va

r(v - e) =  - va

r =  -  \frac{  va}{v - e}

Mrac [35]3 years ago
6 0

Answer:

r = va/(e - v)

Step-by-step explanation:

v = er/(r + a)

vr + va = er

va = er - vr

va = r(e - v)

r = va/(e - v)

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Plz help ...........
bogdanovich [222]

Step-by-step explanation:

Given c = longest of triange = 15m

Given b = short side of triangle = 9m

By pythagoras' Theorem,

{c}^{2}  =  {a}^{2}   +  {b}^{2}  \\  {a}^{2}  +  {b}^{2} =  {c}^{2}   \\  {a}^{2}  +  {(9)}^{2}  =  {(15)}^{2}  \\  {a}^{2}  + 81 = 225 \\  {a}^{2}  = 225 - 81 \\  {a}^{2}  = 144 \\ a =  \sqrt{144}  \\  = 12m

6 0
3 years ago
It is predicted that by 2050 there will be 10^10 people living on earth. approximatrly will be 10^12 trees. how many trees for e
Nastasia [14]

Interesting question. Does that mean near the end of humanity?

Solution 1:

10^10 = 1,000,000,000

10^12 = 100,000,000,000

100,000,000,000/1,000,000,000 = 100 trees per person

Solution 2:

10^12 / 10^10  ---  10^10 / 10^10

10^2/1 = 10^2 = 100 trees per person

8 0
3 years ago
Trig help please<br><br> Find the exact value of each trigonometric equation
gavmur [86]

The exact value for the equation is true but I don't really think that's the question so anyways...

- 15.) The exact form for this equation is -13pi/3 and the decimal form -13.613...

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- 17.) The exact form is -7pi/2 as the decimal is -10.995...

- 18.) The exact is -29pi/6 and the decimal is -15.184...

7 0
3 years ago
Read 2 more answers
What would be the first step to solve for n in the equation 3n-7=30?
taurus [48]
The first step would be to add 7 to both sides.
3n-7=30
add 7
3n=37
divide by 3
n=12.33
4 0
2 years ago
Read 2 more answers
Better Products, Inc., manufactures three products on two machines. In a typical week, 40 hours are available on each machine. T
Kaylis [27]

Answer:

z (max)  =  1250 $

x₁  = 25    x₂  =  0   x₃  =  25

Step-by-step explanation:

                                Profit $    mach. 1      mach. 2

Product 1     ( x₁ )       30             0.5              1

Product 2    ( x₂ )       50             2                  1

Product 3    ( x₃ )       20             0.75             0.5

Machinne 1 require  2 operators

Machine   2 require  1  operator

Amaximum of  100 hours of labor available

Then Objective Function:

z  =  30*x₁  +  50*x₂  +  20*x₃      to maximize

Constraints:

1.-Machine 1 hours available  40

In machine 1    L-H  we will need

0.5*x₁  +  2*x₂  + 0.75*x₃  ≤  40

2.-Machine 2   hours available  40

1*x₁  +  1*x₂   + 0.5*x₃   ≤  40

3.-Labor-hours available   100

Machine 1     2*( 0.5*x₁ +  2*x₂  +  0.75*x₃ )

Machine  2       x₁   +   x₂   +  0.5*x₃  

Total labor-hours   :  

2*x₁  +  5*x₂  +  2*x₃  ≤  100

4.- Production requirement:

x₁  ≤  0.5 *( x₁ +  x₂  +  x₃ )     or   0.5*x₁  -  0.5*x₂  -  0.5*x₃  ≤ 0

5.-Production requirement:

x₃  ≥  0,2 * ( x₁  +  x₂   +  x₃ )  or    -0.2*x₁  - 0.2*x₂ + 0.8*x₃   ≥  0

General constraints:

x₁  ≥   0       x₂    ≥   0       x₃     ≥   0           all integers

The model is:

z  =  30*x₁  +  50*x₂  +  20*x₃      to maximize

Subject to:

0.5*x₁  +  2*x₂  + 0.75*x₃  ≤  40

1*x₁  +  1*x₂   + 0.5*x₃       ≤  40

2*x₁  +  5*x₂  +  2*x₃        ≤  100

0.5*x₁  -  0.5*x₂  -  0.5*x₃  ≤ 0

-0.2*x₁  - 0.2*x₂ + 0.8*x₃   ≥  0

x₁  ≥   0       x₂    ≥   0       x₃     ≥   0           all integers

After 6 iterations with the help of the on-line solver AtomZmaths we find

z (max)  =  1250 $

x₁  = 25    x₂  =  0   x₃  =  25

6 0
3 years ago
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