Answer:
yes another flavor should be in the bag. because the problem stated that there are three different flavor, and only two flavors were mentioned in the problem. the probability of getting the third flavor is 5/7 i guess, because it think the probability of the second flavor was the answer when you added both the numerator and the denominator of 1/3 by 2. like 1/3+2=3/5, so if you added 2 to both the numerator and the denominator of 3/5, you will get 5/7. but i am not so sure about this, i'm sorry in advance.
The answer is 12/14 just times 2 to it i think
Answer:
x = 85°
Step-by-step explanation:
Because the sum of the angles in a triangle is 180°, we can find ∠CDB.
180° - ∠CBD - ∠BCD = ∠CDB.
180° - 35° - 50° =
180° - 85° =
95°
So, ∠CDB is 95°
Then, because a line has 180°, we can find ∠CDA.
180° - ∠CDB = ∠CDA.
180° - 95° = 85°
So, x = 85°
Answer:
16/93
Step-by-step explanation:
The parabolic motion is an illustration of a quadratic function
The equation that models that path of the rocket is y = -16/31x^2 + 256/31x - 880/31
<h3>How to model the function?</h3>
Given that:
x stands for time and y stands for height in feet
So, we have the following coordinate points
(x,y) = (5,0), (11,0) and (10,80)
A parabolic motion is represented as:
y =ax^2 + bx + c
At (5,0), we have:
25a + 5b + c = 0
c= -25a - 5b
At (11,0), we have:
121a + 11b + c = 0
Substitute c= -25a - 5b
121a + 11b -25a - 5b = 0
Simpify
96a + 6b = 0
At (10,80), we have:
100a + 10b + c = 80
Substitute c= -25a - 5b
100a + 10b - 25a -5b = 80
75a -5b = 80
Divide through by 5
15a -b = 16
Make b the subject
b = 15a + 16
Substitute b = 15a + 16 in 96a + 6b = 0
96a + 6(15a + 16) = 0
Expand
96a + 90a + 96 = 0
This gives
186a = -96
Solve for a
a = -16/31
Recall that:
b = 15a + 16
So, we have:
b = -15 * 16/31 + 16
b =-240/31 + 16
Take LCM
b =(-240 + 31 * 16)/31
[tex]b =256/31
Also, we have:
c= -25a - 5b
This gives
c= 25*16/31 - 5 * 256/31
Take LCM
c= -880/31
Recall that:
y =ax^2 + bx + c
This gives
y = -16/31x^2 + 256/31x - 880/31
Hence, the equation that models that path of the rocket is y = -16/31x^2 + 256/31x - 880/31
Read more about parabolic motion at:
brainly.com/question/1130127
