Prime factorization of 675 using exponents
1 answer:
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Given:
An exponential function passes through the points (0, 12000) and (2, 3000).
To find:
The values of a and b.
Solution:
We have,
...(i)
It passes through the point (0,12000). Putting x=0 and f(x)=12000 in (i), we get
Given function passes through the point (2,3000). Putting x=2, a=12000 and f(x)=3000 in (i), we get
Taking square root on both sides.
For an exponential function b cannot be negative. So, .
Therefore, the value of a is 12000 and the value of b is .
Answer:
1936 π square units
Step-by-step explanation:
Given the information:
<em>The circumference of a great circle of a sphere is 44π.</em>
As we know the formula used to find a circle's circumference is:
C = 2πr , where r is the radius of the circle
In this situation, we know C = 44π
<=> 2πr = 44π
<=> r = 22 units
Hence, the Surface Area of the sphere
S.A = 4π
= 4π
= 1936 π square units