Answer:
the object is in the air on the time interval (0.24 sec, 6.51 sec)
Step-by-step explanation:
The object is 'in the air' for all t such that h> 0. We need to find the roots of h = -16t^2 + 108t - 25 = 0. From the graph we see that both t values are positive. Once we find them, we subtract the smaller t from the larger t, which results in the length of time the object is in the air.
Use the quadratic formula to find the roots of h(t). The coefficients of t are {-16, 108, -25}, and so the discriminant b^2 - 4ac is
108² - 4(-16)(-25) = 11664 - 1600 = 10064, whose square root is 100.32.
Then the quadratic formula x = (-b ± √[b² - 4ac)/(2a) becomes
-108 ± 100.32 108 ± 100.32
t = ---------------------- = --------------------- = 3.375 ± 3.135
2(-16) 32
or t = 6.51 or t = 0.24 (both times expressed in seconds).
So, again, the object is in the air on the time interval (0.24 sec, 6.51 sec)
Answer:
-13.9 represents the slope
It is the number of units of the product left in stock per week
The negative value shows it decreases per week
Step-by-step explanation:
Here, we want to state what the value -13.9 represents
Generally, the equation of a straight line can be represented by the equation
y = mx + c
where m is the slope
In this case, -13.9 represents the slope of the model
The slope is calculated by dividing a change in y by a change in x
With respect to the question, the slope here represents number of units of the product left in stock per week
It’s B cuz like x is the sideway line in
The answer is negative twelve -12
Hope this helps
Total number of times cube was rolled = 100.
Total number of times a 6 was rolled = 27.
Probability of rolling a 6 =

Total number of times coin was tossed = 100.
Total number of times a head was tossed = 41.
Probability of tossing a head =

Therefore, probability of rolling a 6 and tossing a head =