Step-by-step explanation:
In the expression a^n, for integer values of n greater than 1, there are n factors. For example, a^2 = a * 2 (2 factors), a^3 = a * a * a (3 factors), etc.
For a non-negative value of a, a^n is non-negative for all values of n.
If a is negative, and n is even, then a^n is non-negative.
If a is negative, and n is odd, then a^n is negative.
|a| is non-negative for all values of a.
sqrt_n(a^n) is negative for negative a and odd n, but |a| is always non-negative, so sqrtn(a^n) cannot equal |a| for odd n.
Answer:
Option (d) is wrong.
Step-by-step explanation:
Slope is:
- rise over run
- The rate of change of a line
- Change in y over the change in x
- <em><u>The ratio of vertical change to the horizontal change. </u></em>
It can be given by mathematically as follows :
Hence, the option which is not a description of slope is (d) "the ratio of horizontal change compared to vertical change"
Answer:
Step-by-step explanation:
Time taken in each lap = 4 min
Total laps = 11
Total time = 11 x 4 = 44min
Answer:
x=-2.5
Step-by-step explanation:
4x+(7-3)5=10
4x+(4)5=10
4x+20=10
subtract 20 from each side
4x=-10
divide each side by 4
x=-2.5
Answer:
300ft^2
Step-by-step explanation:
Total surface area = Area of base + (1/2) x perimeter of base x slant height
Area of base = length² = 10 x 10 = 100
Perimeter of base = 2 ( length + breadth)
2 x 20 = 40
slant height = 10
100 + (1/2) x 40 x 10 = 300 ft^2
