The possible answers might be 3 (or) -25. There’s no -25 among answers so I suppose it’s B.
You always begin by the Given equation, which is in this case:
y+

= 3x
To remove the fraction, you multiply the whole equation by 5:
5y + 1 = 15x
Then, you move the "15x" the left-side of the equation, changing it's sign
-15x + 5y +1 = 0
You move the "1" to the right side, changing it's sign
-15x + 5y = -1
So the correct answer is A :)
Hope it helped! ^^
Answer:
1
Step-by-step explanation:
The cone is sliced by a plane, which produces a smaller cone on top. This cone is similar to the original cone. Therefore:
R / H = r / h
2 / 8 = r / 4
r = 1
We are given that the amount of time for a given color is:
<span>A. </span>Day
Green = 2 min
Red = 3 min
Yellow = 20 sec = 0.333 min
Total day cycle time= 5.33 min
<span>B. </span>Night
Green = 3 min
Red = 4 min
Yellow = 30 sec = 0.5 min
Total night cycle time= 7.5 min
We calculate for the probabilities of waiting at red for
day and night:
Pday= 3 min/5.33 min= 0.5625
Pnight= 4 min/7.5 min= 0.5333
<span>Pdifference= 0.02917 = 2.92%</span>
<span>Therefore it is more likely to wait at red during day
time by 2.92%.</span>
Answer:
is equation of height of rocket.
Option D is correct.
Step-by-step explanation:
Given: A rocket is launched with speed 85 ft/s from a height 28 feet.
Launching a rocket follows the path of parabola. The equation of rocket should be parabolic.
Parabolic equation of rocket is
Formula: 
g ⇒ acceleration due to gravity (-32 ft/s)
v ⇒ Initial velocity (
)
h ⇒ Initial height (
)
h(t) ⇒ function of height at any time t
Substitute the given values into formula


D is correct.