Stanley the skunk will save about 15.5 feet.
This problem can be solve with the Pythagorean Theorem. The possible paths that Stanley can take make a right triangle. The legs of the triangle are 25 and 28, and the hypotenuse would be 37.5.
If Stanley went the long way, he would travel 25 + 28 = 53 feet. Taking the short way (hypotenuse) is 53 - 37.5 = 15.5 feet shorter.
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Answer:
5) 729, an=3^n, a[1]=3; a[n]=3·a[n-1]
6) 1792, an=7(4^(n-1)), a[1]=7; a[n]=4·a[n-1]
Step-by-step explanation:
The next term of a geometric sequence is the last term multiplied by the common ratio. (This is the basis of the recursive formula.)
The Explicit Rule is ...
for first term a₁ and common ratio r.
The Recursive Rule is ...
a[1] = a₁
a[n] = r·a[n-1]
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5. First term is a₁ = 3; common ratio is r = 9/3 = 3.
Next term: 243×3 = 729
Explicit rule: an = 3·3^(n-1) = 3^n
Recursive rule: a[1] = 3; a[n] = 3·a[n-1]
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6. First term is a₁ = 7; common ratio is r = 28/7 = 4.
Next term: 448×4 = 1792
Explicit rule: an = 7·4^(n-1)
Recursive rule: a[1] = 7; a[n] = 4·a[n-1]
Answers:
<em>How much did the temperature change from Sunday High to Mondays High?</em>
Change = 4 °C
<em>What was the difference between the high temperatures on Friday and Wednesday?</em>
Difference = 10 °C
Explanation:
Taking into account the graph, we get that the high temperature each day is:
Sunday: -10°C
Monday: -6 °C
Tuesday: - 4 °C
Wednesday: -6 °C
Thursday: 0 °C
Friday: 4 °C
Saturday: -2 °C
So, the change from Sunday High to Mondays High can be calculated as:
Change = Monday - Sunday
Change = -6 °C - (- 10 °C)
Change = -6 °C + 10 °C
Change = 4 °C
In the same way, the difference between the high temperatures on Friday and Wednesday can be calculated as:
Difference = Friday - Wednesday
Difference = 4 °C - (-6 °C)
Difference = 4 °C + 6 °C
Difference = 10 °C
Therefore, the answers are:
<em>How much did the temperature change from Sunday High to Mondays High?</em>
Change = 4 °C
<em>What was the difference between the high temperatures on Friday and Wednesday?</em>
Difference = 10 °C
(a.) is the answr. ............................................
