Answer: 28 red marbles
Step-by-step explanation:
Since there are in total 140 marbles and there are 5 red marbles, just simply divide 140 by 5 and you get your answer. 28 red marbles.
The correct option A: graph A, shows the logarithmic function;
f(x) = log₃x + 1
<h3>Explain the term logarithmic function?</h3>
- The opposite of such an exponential function is a logarithmic function.
- A log function and then an exponential function both use the same base.
- An exponent is a logarithm. f(x) = bx is how the exponential function be expressed.
- The formula again for logarithmic function is f(x) = log base b of x.
f(x) = log₃x + 1
f(1) = log₃1 + 1
f(1) = 0 + 1
f(1) = 1
(1, 1)
f(3) = log₃3 + 1
f(3) = 1 + 1
f(3) = 2
(3, 2)
Thus, the graph must contain the points (1, 1), (3, 2).
Therefore, graph A define the given logarithmic function;
f(x) = log₃x + 1.
To know more about the logarithmic function, here
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Answer:
F
Step-by-step explanation:
Area of sector=pi*r^2*(theta/360) = pi*r^2*(45/360)
18*pi=pi*r^2*(1/8), r=12. Circumference is 24*pi
Each lap = 4.02 km
200 laps x 4.02 = 804 km total
804 km / 240 km/h = 3.35 hours = 3 hours and 21 minutes