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Tcecarenko [31]
4 years ago
7

Complete the table given below.PICTURE BELOWWW

Mathematics
1 answer:
igor_vitrenko [27]4 years ago
8 0

Answer:

  see the attached table

Step-by-step explanation:

We assume the formula of interest is ...

  residual = (initial amount)(1 -k)^t . . . . . . assuming k is a positive number

Where T is the half-life, this formula can also be expressed as ...

  residual = (initial amount)(1/2)^(t/T)

Then the relationship between k and T is ...

  (1 -k)^t = (1/2)^(t/T)

or ...

  1 -k = (1/2)^(1/T)

This lets us write k in terms of T as ...

  k = 1 -(1/2)^(1/T)

and it lets us write T in terms of k as ...

  log(1-k) = (1/T)log(1/2)

  T = log(1/2)/log(1-k)

__

The attached spreadsheet table implements these formulas to compute T from k and vice versa. Formatting is in % and to four decimal places as required by the problem statement.

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Find an equation of variation in which y varies directly as x and y = 60 when x = 0.4. Then find the value of y when x = 2​
Nostrana [21]

Answer:

y = 300

Step-by-step explanation:

The equation of variation in which y varies directly as x is written Mathematically as:

y ∝ x

y = k × x

y = kx

Where k = Proportionality Constant

We find k

a) y = 60 when x = 0.4.

60 = 0.4 × k

k = 60/0.4

k = 150

b) find the value of y when x = 2​

y = kx

k = 150

Hence,

y = 150 × 2

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7 0
3 years ago
the sides of a rectangle are the ratio 2:5. (for every 2cm of the width, the length is 5cm) the perimeter of the rectangle is 70
viva [34]
------------------------------------------------------------------------------------
Ratio
------------------------------------------------------------------------------------
Width : Length
    2    :   5 

Let x be the scale factor

Width : Length
    2x    :   5x

------------------------------------------------------------------------------------
Form equation and solve x
------------------------------------------------------------------------------------
Perimeter = 2(Length + Width)
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70 = 2(7x)
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14x = 70
x = 5

------------------------------------------------------------------------------------
Find Length and Width
------------------------------------------------------------------------------------
Length = 5x 
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Width = 2x
Width = 2(5)
Width = 10

------------------------------------------------------------------------------------
Answer: Length = 25 cm, Width = 10 cm
------------------------------------------------------------------------------------
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(4,4)..........................ik this is wrong
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108+621 is the same as 100+
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Answer:

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