Answer: x = 1
Step-by-step explanation:
5 ( 2x - 8 ) + 15 = -15 (write the equation)
5 ( 2x - 8 ) = -30 (subtract by 15 on both sides)
2x - 8 = -6 (divide by 5 on both sides)
2x = 2 (add 8 to both sides)
x = 1 (divide by 2 on both sides)
Answer: a) 
b) 25165824000
Step-by-step explanation:
The exponential equation for growth is given by :-
, where a= initial value , b =multiplicative growth factor and t = time.
Given : A bacteria culture contains 1500 bacteria initially and doubles every hour.
i.e. a = 1500 and b= 2
Then, the function N that models the number of bacteria after t hours will be :
To find , the number of bacteria after 24 hours , we put t= 24 in above equation , we get
Hence, the number of bacteria after 24 hours is 25165824000.
Answer:
If AB is a tangent to the circle, the triangle ABO is right angled, as the angle where a tangent meets the circumference is always 90 degrees.
We also know that Pythogoras' theorem only holds for right angled triangles.
The hypotenuse is 12 + 8 as 12 is the radius so is 20.
16^2+12^2 = 256 + 144 = 400 = 20^2 so AB must be tangent.
X
216
1000
Hope it helps:)
The answer is 0o45.......