Given statement is False, if a light cost $3, it could be either Green or Yellow.
Converse: If the light bulb was Yellow, then the cost was $3 = True
Contrapositive makes both statements negative and switches the order of the original statement.
So something like: If the light bulb is not yellow, then the cost would not be $3 = False because two colors cost the $3.
Inverse makes both statements negative but keeps the same order.
Something like : If the light bulb did not cost$3 then the light bulb was not yellow = False because two colors cost the $3.
Answer:
The linear relationship ( the linear equation ):
y = m x + b ( the slope-intercept form )
m = ( 50.75 - 42.25 ) / ( 5 - 3 ) = 8.50 / 2 = 4.25 ( the slope )
42.25 = 4.25 * 3 + b
b = 42.25 - 12.75
b = 29.50
y = 4.25 * x + 29.50
Answer:
The initial value is : ( 0, 29.50 ) or 29.50.
Answer:
The average number of customers per day during the sale was 150.
Step-by-step explanation:
This question can be solved using a rule of three.
Before the sale, the average number of customers per day was 120, which is 100% = 1.
Now, there are x customers, and since it is an increase of 25%, it is 100+25 = 125% = 1.25. So
120 - 1
x - 1.25
x = 1.25*120 = 150
The average number of customers per day during the sale was 150.
15 minutes is one quarter of an hour, so the number of people accommodated in an hour would be 4 x 55 = 220 people per hour
Answer:
(a) dy/dt = 68 - 3.72t
(b) 64.28m/s
Step-by-step explanation:
Given y = 68t - 1.86t²
Average Speed is rate of chance of distance with respect to time. Written as dy/dt
To obtain dy/dt, we differentiate y with respect to t, doing that, we have
dy/dt = 68 - 2(1.86)t
= 68 - 3.72t
(a) dy/dt = 68 - 3.72t
(b) To estimate the speed when t = 1, we substitute t = 1 in dy/dt .
dy/dt at t = 1 is
68 - 3.72(1)
= 68 - 3.72
= 64.28
The speed at t = 1 is 64.28m/s