Answer:
t = 4.5 seconds
Step-by-step explanation:
It is given that, a golfer hits a ball from a starting elevation of 4 feet with a velocity of 70 feet per second down to a green with an elevation of −5 feet.
The number of seconds t it takes the ball to hit the green can be represented by the equation as follows :
......(1)
We need to find time taken by the ball to land on the green. Solving the quadratic equation (1) we get :
t = -0.125 s and t = 4.5 s
Ignoring t = -0.125 s, we get the time taken by the ball to land on the green is 4.5 seconds.
The formula for volume of a sphere is V = 4
/3 x π x r3 (cubed).
The original radius of the balloon is 10 ft, so when we plug that value into the equation we get 4188.79. When the balloon deflated, the new radius was 5 ft, so the new volume is 523.6. The question asks how much volume was lost, so we need to subtract 4188.79 - 523.6 and get approximately 3665.
Hope this helps! I hate taking usa test prep quizzes too haha.
Answer: 918 is the constant of variation.
Step-by-step explanation:
Since, In see saw the weight (w) of an object is inversely proportional to the distance (d) from the seesaw support.
That is w ∝ 1/d
or w = k/d
where k is the constant of variation.
Here, The weight of Levon, w = 153 lb
And, his distance from the see saw support, d = 6 ft
Therefore. 153 = k/6
⇒k= 153 × 6 = 918
Answer:
the first one i think
Step-by-step explanation:
-3 is the y-intercept and that i all i got, sorry :(
So if you divide 78 by six you get 13. 78/6=13
So we want x minus 6 to equal thirteen we have to make x a number that will equal 13 when we subtract 6. So we can just add 13+6 to get 19. And 19-6=13. So x=19, does that make sense?