Answer:

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Answer:
a = 10 and b = 5
Step-by-step explanation:
We write out f(x)= ab^x for x = 0 and x = 3 to create two equations in a and b that must be solved simultaneously:
(0, 10): 10 = a*b^0
This tells us that 10 = a*1, or a = 10.
(3, 1250): 1250 = a*b^3 => 10*b^3, or
1250 = 10*b^3, or
125 = b^3. Taking the cube root of both sides, we obtain b = 5.
a = 10 and b = 5
Answer:
sin θ = 24/25.
Step-by-step explanation:
Cos θ = 7/25 so we have a right triangle with adjacent side = 7 and hypotenuse = 25.
So the opposite side = sqrt ( 25^2 - 7^2) ( By Pythagoras)
= sqrt 576
= 24 .
Therefore sin θ = 24/25.
Answer:
1
Step-by-step explanation:
Considering that the circle has radius of 3ft to mean its diameter is twice the radius hence 6 ft
Given that the length of the square is 10 ft
10÷6=1 ⅔ hence only 1 circle
10-6=4 ft
The space of 4ft can't allow another circle to fit without an overlap. Therefore, only one circle can fit