Answer:
Step-by-step explanation:
We have an extremely large equation and are asked to divide it, so let's solve it step-by-step :
Remove the parenthesis to make it easier to read :
Multiply the numerators :
Multiply the denominators :
Apply the negative rule :
Cancel the common factor which is 18 :
Apply the addition exponent rule :
Subtract :
Apply the rule for y :
Subtract :
Cancel the common factor of z^3 :
3 is the unit rate of 27 and 12
Answer:
42.5 units²
Explenation:
The area of the square on the left is 5×5=25.
At the top you do 12-5=7 to find the length of the tringle.
Than it is 7×5=35 than this divided by two, so 17.5.
You add both areas 25+17.5=42.5
Answer:
37.5 miles per hour
Step-by-step explanation:
The traffic along a stretch road moves at an average speed that carried inversely as the number of cars
Average speed= k/number of cars.
When there are 1,500 cars the average speed is 45
The first step is to calculate the constant k
45= k/1500
k = 1,500 × 45
k= 67,500
Therefore the average speed when there are 1,800 cars can be calculated as follows
Average speed= 67,500/1,800
= 37.5 miles per hour
Hence the average speed is 37.5 moles per hour
When a scatter plot shows a positive association means that there is a linear correlation with a positive slope between the two variables. This correlation can be weaker or stronger (depending on the value of the correlation).
If there is a linear correlation between the two variables, the relation is then a direct proportionality (with slope positive or negative).
Hence, it is always true that <span>a scatter plot that shows a positive association suggests that the relationship is proportional.</span>
