Write an exponential function y = ab^x for a graph that includes (2, 24) and (3, 48).
1 answer:
Answer:
A
Step-by-step explanation:
Substitute the x and y values from the given points into the equation and solve for a and b
Using (2, 24), then
24 = ab² → (1)
Using (3, 48), then
48 = ab³ → (2)
Dividing (2) by (1)
=
, hence b = 2
Substitute b = 2 into (1)
24 = a × 2² = 4a ( divide both sides by 4 )
a = 6
Hence equation is y = 6 → A
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Answer:
Increase in area of circle is square mm
Step-by-step explanation:
The actual question is
Find the approximate increase in its area if the radius increases from 20 mm to 22 mm.
Solution
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Area of circle of radius 20 mm is
square mm
Area of circle of radius 22 mm is
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Increase in area of circle
square mm
Answer:
The expression that represents the number of days until only 10% remains is T((d) 10 %) =100×.
Step-by-step explanation:
The equation for half life is of the form
A = A₀×.........................................................................(1)
Where
A = Final amount
A₀ = Initial amount
t = Time
h = Half life
For the equation T(d) = 100×2⁽⁻²⁾....................................(2)
We have by comparison with the equation for half life
2 ≡ and and the equation (2) can be written as
Percentage remaining after 2 half lives is
×100=100×
However if the half life of Technetium-99m is 6 hours then we have for one day
×100=100×
Therefore an expression that represents the number of days until only 10% remains is
×100=100×
= 10 %
=
= ㏑ = ㏑(
)
= ×㏑
= ㏑(
)
=
= 3.322
Therefore the expression for the number of days 10 % of Technetium-99m will be remaining is
T((d) 10 %) =100×