Answer:
Between 0 and 1
Step-by-step explanation:
The given expresion is

Recall that:

We apply this property of exponents to get;

We rewrite to obtain a positive index as:

Therefore the value of the expression is between 0 and 1.
Answer:
15, 18, 21
Step-by-step explanation:
3, 6, 9, 12, 15, 18, 21...
3 x 5 = 15
3 x 6 = 18
3 x 7 = 21
Hope this helps! :)
3/2 since perpendicular lines have opposite reciprocal slopes
Answer:
The length of each side of the city is 250b
Step-by-step explanation:
Given
--- tree distance from north gate
--- movement from south gate
--- movement in west direction from (b)
See attachment for illustration
Required
Find x
To do this, we have:
--- similar triangles
So, we have the following equivalent ratios

Where:

Substitute these in the above equation


Express as fraction


Cross multiply

Open bracket

Rewrite as:

Expand

Factorize

Factor out x + 284

Split

Solve for x

x can't be negative;
So:

Answer:
0.568516
Step-by-step explanation:
To find the the Coefficient of determination you simply square r.
Just make sure you have the original r value and not the rounded value.
0.754^2 = 0.568516
and then depending on how many decimals you need to round to...