Answer:
and not 
Step-by-step explanation:
Jim's work evaluating
is shown:

If you look at the Second step, the exponent is taken over only the numerator. It should have been taken over both the numerator and denominator as shown below.

The correct workings therefore is:

Answer:
32, 37, 42, 47, 52, 57, 62.
Step-by-step explanation:
It is given that Carissa counts by 5s from 32 to 62.
It means, we have to add 5 in the number to get the next number.
Add 5 in 32.

Now, add 5 in 37.

Similarly, continue the process.




Therefore, the numbers counted by carissa are 32, 37, 42, 47, 52, 57, 62.
Answer:
x = 3.1 %
Step-by-step explanation:
Let x be the slope the track.
Given:
Distance between station A and B = 270 ft
Track rise = 
We need to find the slope of the railway track between station A an B.
Solution:
The maximum grade allowed between two stations in a rapid-transit rail system is 3.5%.
We know that slope of the railway track is equal to gradient of the tracks.
So. the slope of the railway track is defined as the ratio of the distance between the stations and track rises.


x = 3.1 %
So x = 3.1 % less than the maximum grade allowed between two stations in a rapid-transit rail system is 3.5%.
Therefore, x = 3.1 % meets the rapid-transit rail standards.
Answer:
The answer to your question is: y = -8/3 x - 11
Step-by-step explanation:
A (-6, 5)
B (-3, -3)
Process
1.- Find the slope of the line
Formula

Substitution

Simplifying

2.- Find the equation of the line
Formula
( y - y1) = m(x - x1)
Substitution
( y + 3) = -8/3 (x + 3)
Simplifying
y + 3 = -8/3 x - 8
y = -8/3 x - 8 - 3
y = -8/3 x - 11
Answer:
In a part-to-whole ratio, one ratio compares a part to a whole.