Answer: A, Magnitude of 8 and direction angle equal to 0°
Step-by-step explanation:
Since vector u is only a straight line, there will be no angle, which means that answers B and D are automatically wrong.
Now, we’re going to use the distance formula to find the component form of vector u
Now we found the new coordinate, which is (8,0), and it is being extended from the origin with the same angle of 0°
Using the formula from above, we can find the magnitude of vector u
Hope I explained it well and hopefully this helps!
Answer:
The situations that show strong correlation are;
1), 3), 4)
Step-by-step explanation:
To answer the question, we analyze each of the options in turn as follows
1) Since the speed of a car is given by the distance covered per unit time or speed = distance/time then, speed is inversely proportional to time that is an increase in speed will lead to a decrease in time to cover a given distance hence there is a strong correlation implying causation
2) Here, we have that the profit of the company is the difference between the total revenue and the total cost hence;
Profit = Revenue - Cost
As advertising is a cost, increasing the advertising budget, increases the cost and where the revenue remains, constant the profit will decrease
Therefore there is no correlation between increasing the advertising budget and increase in profit
3) When the weather is hot, people get thirsty and will like to cool down their body temperature, hence more people buy ice cream to cool down and quench some thirst hence there is a strong correlation between increase in temperature and an increase in ice cream sales which implies causation
4) For very low income employments, some employees seek excuses to try to make the most of their time hence whereby it is difficult to have another employee stand in for them, some employees may select the recognized excuse of being sick so as to explain absence from work, hence when the salary is increased, they will find more reasons to come to work hence there is a strong correlation between increase in salary and decrease in sick days.
Answer: - 3/2
Step-by-step explanation:
Use this formula to find the slope for any two given points.
(4, 3) and (6, 0)
↓ ↓ ↓ ↓
x1 y1 x2 y2
y2 - y1 0 - 3
--------- = ---------- = -3/2
x2 - x1 6 - 4
Hope this helped! :)
The total revenue of the function is the product of the quantity and the price
The total revenue in terms of P is TR = 20P - 0.01P^2
<h3>How to determine the total revenue?</h3>
The demand and the cost functions are given as:
Quantity function, Q = 20 - 0.01P
Cost function, C(Q)=60+6Q
The total revenue is calculated as:
TR = Q * P
Substitute Q = 20 - 0.01P in the above equation
TR = P * [20 - 0.01P]
Evaluate the product
TR = 20P - 0.01P^2
Hence, the total revenue in terms of P is TR = 20P - 0.01P^2
Read more about total revenue at:
brainly.com/question/25623677
Answer:
Using properties of parallelogram and angle sum property of a triangle in the figure as shown below in the attachment
In parallelogram ABCD, AC is a diagonal.
Given: 
and 
As, we know that opposite angles in parallelogram are equal.
therefore,
Now, in ΔADC
Sum of the measures of angles in a triangle is 180 degree.
Substituting the values of 
and we have;
or
Subtract 
from both sides we get
Therefore, the measure of angle CAD is 
.
