Answer:
Find answers below
Step-by-step explanation:
First know that any value raise to power zero is 1 and also according to the inverse law;
a⁻ⁿ = 1/aⁿ
Given the following
a) (-123)⁰ = 1 ()Note that any value raise to zero is 1
b) 43⁻⁵ = 1/43⁵
1/43⁵ = 1/147,008,443
c) 1/15⁻⁶ = 1/(1/15⁶)
1/(1/15⁶) = 1*15⁶/1
1/(1/15⁶) = 15⁶
d) -(1353348)⁰
= -1 (anything raise to zero is 1)
e) 13⁻⁴ = 1/13⁴
= 1/28,561
Answer: The total number of logs in the pile is 6.
Step-by-step explanation: Given that a stack of logs has 32 logs on the bottom layer. Each subsequent layer has 6 fewer logs than the previous layer and the top layer has two logs.
We are to find the total number of logs in the pile.
Let n represents the total number of logs in the pile.
Since each subsequent layer has 6 fewer logs then the previous layer, so the number of logs in each layer will become an ARITHMETIC sequence with
first term, a = 32 and common difference, d = -6.
We know that
the n-th term of an arithmetic sequence with first term a and common difference d is
Since there are n logs in the pile, so we get
Thus, the total number of logs in the pile is 6.
Answer:
-9 / 14
Step-by-step explanation:
Product means multiply
3/4 x -6/7 = -9 / 14
9514 1404 393
Answer:
- slope: cost per mile
- y-intercept: fixed base cost
Step-by-step explanation:
The y-intercept is the value of y when x=0. The problem statement tells you that x is the number of miles driven, and y is the rental cost.
When the number of miles driven is zero, the rental cost is ...
y = 2.25×0 +70
y = 70
The cost of renting the truck is $70 when it isn't driven anywhere. The y-intercept ($70) is the basic, fixed cost of truck rental.
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If x=1 (1 mile driven), then 2.25 is added to the cost of the truck rental. The slope (2.25) is the cost per mile driven. (That mileage cost is added to the basic rental cost.)
