Answer:
37.5
Step-by-step explanation:
225÷6........................................
3/12 divided by 1 gets you 1/4 because they are equivalent fractions
Domain of a Function is a Set of Values under which the Function is defined or a Set of Values which satisfy the respective Function.
From the Diagram we can Notice that the Function is Defined only with the Values : (-6 , -1] ∪ (1 , 5]
⇒ Domain of the Given Function is (-6 , -1] ∪ (1 , 5]
Range is the Set of Values which we get under the Defined values of Domain of the Given Function.
From the Diagram we can Notice that the Values of the Given Function under the Defined Domain range from : (-3 , 2] ∪ [3 , 7)
⇒ Range of the Given Function is (-3 , 2] ∪ [3 , 7)
2nd Option is the Answer
Answer:
C. Ari and Matthew collide at 4.8 seconds.
Explanation:
Ari and Matthew will collide when they have the same x and y position. Since Ari's path is given by
x(t) = 36 + (1/6)t
y(t) = 24 + (1/8)t
And Matthew's path is given by
x(t) = 32 + (1/4)t
y(t) = 18 + (1/4)t
We need to make x(t) equal for both, so we need to solve the following equation
Ari's x(t) = Matthew's x(t)
36 + (1/6)t = 32 + (1/4)t
Solving for t, we get
36 + (1/6)t - (1/6)t = 32 + (1/4)t - (1/6)t
36 = 32 + (1/12)t
36 - 32 = 32 + (1/12)t - 32
4 = (1/12)t
12(4) = 12(1/12)t
48 = t
It means that after 48 tenths of seconds, Ari and Mattew have the same x-position. To know if they have the same y-position, we need to replace t = 48 on both equations for y(t)
Ari's y position
y(t) = 24 + (1/8)t
y(t) = 24 + (1/8)(48)
y(t) = 24 + 6
y(t) = 30
Matthew's y position
y(t) = 18 + (1/4)t
y(t) = 18 + (1/4)(48)
y(t) = 18 + 12
y(t) = 30
Therefore, at 48 tenths of a second, Ari and Mattew have the same x and y position. So, the answer is
C. Ari and Matthew collide at 4.8 seconds.
Answer:
16.7%
Step-by-step explanation:
The first thing is to mention that they are two independent events, therefore the final probability is the multiplication of the two.
First event, select shirt. In total there are 4 and you must choose one of them, therefore the probability is:
1/4
Second event, select the pants. In total there are 3 and you must choose one of them, but there are two blue types, therefore any of the two is worth what means that the probability is:
2/3
The final probability:
P = 1/4 * 2/3
P = 0.167
Which means that the probability of choosing a white shirt and a blue pant (light or dark) is 16.7%