Answer:
47.5°
Step-by-step explanation:
The minute hand moves 6 degrees per minute. The hour hand moves 0.5 degrees per minute. At 8:35 the minute hand will be at the 210 degree position and the hour hand will be at the 257.5 degree position. 257.5 - 210 = 47.5 degrees between them.
<h3>
Answer: D) The y intercept is (0,1)</h3>
This can be confirmed by plugging x = 0 into the function to find that...
y = (1/2)^x
y = (1/2)^0
y = 1
Recall that any nonzero value to the 0th power leads to 1. So we can say x^0 = 1 as long as x is not zero.
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Extra info (optional section):
- We can rule out choice A because negative x values work in the domain. For instance, if x = -1, then it leads to y = (1/2)^x = (1/2)^(-1) = 2. The negative exponent will apply the reciprocal operation to the base fraction.
- Choice B can also be ruled out because the range is y > 0. Or you could note that it is possible to get positive y values smaller than 1/2. Try x = 2 and you'll see it leads to y = 1/4 which is not greater than 1/2.
- Choice C is false as well. The function f(x) = (1/2)^x is decreasing throughout the domain. A graph visually would show this due to it going downhill when moving from left to right. A table of values is a non-visual way to see we have a decreasing function. The table would show that y decreases when x increases.
$52.95 - $2.50 = $50.45
$50.45 divided by 5 (number of people) = $10.09 per person
Step-by-step explanation:
Hers your answer friend
