Answer:
A.) True
Step-by-step explanation:
A set of outputs and inputs becomes a function when there is only one output per input. In this case, each "x" value only has one "y" value, making it a function.
Answer:
Time for a round trip = 12.5 hours
Step-by-step explanation:
Mother's house = 250 miles
Total distance for the round trip = 250 + 250 = 500 miles
Given speed = 40 mph
<em><u>Find time .</u></em>
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Answer:
log (448)
Step-by-step explanation:
3 log(4) + log(7)
We know that a log b = log b^a
3 log(4) + log(7)
log 4^3 + log 7
log 64 + log 7
We know that log a + log b = log (a*b)
log (64 *7)
log (448)
Let h be the height of the tree and d the distance to the top of the tree from the point on the ground. Draw a diagram to visualize the situation:
Since the distance to the top of the tree is 11 ft more than two times the height, then:

Use the Pythagorean Theorem to relate the length of the sides of the right triangle:

Notice that we have obtained a quadratic equation in terms of h. Write it in standard form and use the quadratic formula to solve for h:

Since the height of the tree must be positive, the only solution is h=39ft. To the nearest foot, the height of the tree is 39.
Therefore, the height of the tree is 39 ft.