Answer:
There is a strong, negative correlation between the amount of money in Tara's account and the day of the month.
Step-by-step explanation:
r is between -1 and +1. r values close to -1 are strongly negative. r values close to +1 are strongly positive. r values close to 0 are weak.
r = -0.9870 is strongly negative. So there is a strong, negative correlation between the amount of money in Tara's account and the day of the month.
Suppose
if a>0 it has min if 0>a it has max
Here we know that the initial velocity of the car is given by:
And the final velocity of the car is given by:
It took 3 seconds to attain the final velocity, so we have
Therefore, the acceleration can be obtained by:
Plugging the values of the initial, final velocity and the time, we get:
So the acceleration of the car is given by:
Now we need to find the direction of the average acceleration of the car:
Here, x and y are the coefficients of the 'x' and 'y' components of the vector:
Therefore, the direction of the average acceleration of the car is .
If you draw the circle and divide into 4 quadrants, you can see that the sine is negative, since the quadrant is situated in the negative part of YY', and that the cosine is positive, since the quadrant is situated in the positive part of XX'.
And
, and negative divided by positive gives a negative answer, which means that the tangent is negative on the quadrant IV.
Hope this helps :)
Given the equation:
Let's solve the equation step by step by step, then drag the explanations used to solve the given equation in the correct sequence.
• Step 1:
Rewrite 125 as a power of 5
• Step 2:
Divide each side by 5
• Step 3:
Since the exponents are equivalent, equate the exponents of the equation:
• Step 4:
Add 9 to each side of the equation.