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Andre45 [30]
3 years ago
13

Solve for the indicated variable.

Mathematics
1 answer:
marta [7]3 years ago
3 0

Answer:

Option (c) "r=\dfrac{q}{4c}-h"

Step-by-step explanation:

The given equation is :

q = c4(h + r)

We need to solve it for r.

Dividing both sides of the given equation by 4c.

\dfrac{q}{4c}=\dfrac{4c}{4c}(h+r)\\\\(h+r)=\dfrac{q}{4c}

Now, subtract h both sides of the equation.

h+r-h=\dfrac{q}{4c}-h\\\\r=\dfrac{q}{4c}-h

Hence, this is the required solution.

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-1/6 x -1/5

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1 x 5

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1 x 6

5 x 6

-6/30

-5/30x-6/30

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hope it helps!

4 0
3 years ago
Find the slope of the line that goes through the given points (8,5) (6,7)
vazorg [7]
To find the slope of a line that goes through given points with known coordinates, you divide the subtraction of the y of the second point minus the y of the first point, by the subtraction of the x of the second point minus the x of the first point:
m = (yB-yA) / (xB-xA)

Let A(8,5) and B(6,7).
With yB = 7; yA = 5; xB = 6; xA = 8
m = (7-5) / (6-8)
m = 2/-2
m = -1

So the slope of the line that goes through the given points (8,5) and (6,7) is m = -1.

I've added a pic of the line with both points under the answer.

Hope this Helps! :)

4 0
3 years ago
Guys need help with a math equation brother
pishuonlain [190]

Answer:

I don't see the question or picture or equation?

Step-by-step explanation:

I could help if I knew the question.

7 0
3 years ago
What is the greatest common factor of 13x and 14x^3?
Blizzard [7]

Answer:

x

Step-by-step explanation:

  • 13 and 14 share no factors except for 1
  • Both have x in them, so the answer is x
7 0
2 years ago
The quantity R, in grams, of a certain radioactive substance decreases according to the exponential decay model dRdt=−0.05R, whe
Leto [7]

Answer:

  • <u>24 seconds</u>

Explanation:

1. Quantiy R

Decay model:

       \dfrac{dR}{dt}=-0.05R

That is a first order reaction, whose solution is:

        R=R_0e^{-0.05t}

The value at t = 0, R(0) = 100 is R₀.

Thus, the law is:

        R(t)=100e^{-0.05t}

2. Quantity S

Decay model:

       \dfrac{dS}{dt}=-4

That is a zero order kinetic, whose solution is:

       S=S_0-4t

The value at t = 0, S(0) = 125 is S₀

Thus, the law is:

      S(t)=125-4t

<u>3. At what time will there ve equal quantities of both substances?</u>

You must solve the system doing R(t) = S(t)

      100e^{-0.05t}=125-4t

That equation must be solved by graphing or by consecutive iterations

Note that when t = 0 R(t) = 100 and S(t) = 125. From, that the quantities decreases.

Subsitute with t = 10.

  • The left-hand side yields: 61 and the right-hand side yields 85.

Then, the time is greater than 10.

Substitute with t = 15

  • Left-hand side = 47
  • Right-hand side = 65

t = 20

  • Left-hand side = 37
  • 45

t = 25

  • Left-hand side = 29
  • Right-hand side =25

t = 24

  • Left-hand side =3 0
  • Right hand side = 29

Hence, 24 seconds is a satisfactory solution.

The graph attached shows that the intersection point is at t ≈ 23.548 seconds, confirming that 24 seconds is the best solution rounded to an integer number.

5 0
4 years ago
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