Answer:
See below
Step-by-step explanation:
Y component of velocity is 70 sin 30°
y position = 3 + 70 sin 30° * t - 1/2 a t^2
when the ball hits the ground y = 0
0 = 3 + 70 sin 30° t - 1/2 (32.2)t^2
- 16.1 t^2 + 35t + 3 = 0
Use Quadratic Formula to find t = <u>2.26 seconds</u>
Horizontal component of initial velocity
70 cos 30° distance horizontal = 70 cos 30° * t
= 70 cos 30° (2.26) =<u> 137.0 ft</u>
The product of 12 and -5 is -5(12) = -60. Note that 12(-5) = -60 also.
Answer:
Let x represents the week and y represents the seashells
As per the statement:
Dora has 10 seashells and plans to add 2 shells every week.
"2 shells every week" means 2x
⇒y = 10 + 2x
It is also given, Jerri has 4 seashells and plans to add 5 shells every week.
"5 shells every week" means 2x
⇒ y = 4 + 5x
The system of equation would be used:
y = 10 + 2x
y = 4 + 5x
Since, the girls have the same number of seashells
⇒
Subtract 4 from both sides we get;

Subtract 2x from both sides we get;

Divide by 3 both sides we have;
x = 2 weeks.
Therefore, the number of weeks would it be before the girls have the same number if seashells is, 2 weeks.
Just substitute x = 2 and y = 5 into the equation wherever you see x and y.
2 + (12 - 5x) · 2y
2 + (12 - 5(2)) · 2(5)
2 + (2) · 10
4 · 10
40, is the answer which should be the first box.
The fraction form would be 4 3/100