Answer:
The change for the input would be 1, and the change for the output would be 0.35. The rate of change should be 0.35 also.
Step-by-step explanation:
Answer:
Step-by-step explanation:
square-based pyramid:
volume V = (⅓)b²h
= (⅓)7²·16
≅ 261.3 ft³
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Can't help with question 3. I haven't learned triangle-based pyramids.
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cone:
volume V = ⅓πr²h
= ⅓π17²·20
= 6052.8 yd³
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can't help with question 7. Never did this kind of pyramid.
Answer: 120 grams.
Step-by-step explanation:
Let x be the amount of sugar syrup made by 5% sugar syrup using 6g sugar.
Also, 5% =0.05
Therefore, 5% sugar syrup =5% of x = 0.05x
According to the question, we have

Hence, 120 grams sugar syrup is made by 5% sugar syrup of 6g sugar.
Answer:
624.5 feet
Step-by-step explanation:
Calculation to determine how many feet from the boat is the parasailor
Based on the information given we would make use of Pythagorean theorem to determine how many feet from the boat is the parasailor using this formula
a²+b²=c²
First step is to plug in the formula by substituting the given value
500²+b²=800²
Second step is to evaluate the exponent
250,000+b²=640,000
Third step is to substract 250,000 from both side and simplify
250,000+b²-250,000=640,000-250,000
b²=390,000
Now let determine how many feet from the boat is the parasailor
Parasailor feet=√b²
Parasailor feet=√390,000
Parasailor feet=b=624.49
Parasailor feet=b=624.5 feet (Approximately)
Therefore how many feet from the boat is the parasailor will be 624.5 feet