Step-by-step explanation:
Given that,
The function that shows the height of a baseball after t seconds is given by :
....(1)
Part (A).
When the baseball hits the ground,
H(t) = 0
So,

After 5 seconds the baseball will hit the ground.
Pat (B)
For maximum height, put dH/dt = 0
So,

Put t = 2.34 s in equation (1).

Hence, this is the required solution.
Answer:
m = 2, n = - 3
Step-by-step explanation:
Given the 2 equations
2m + 3n = - 5 → (1)
5m + 3n = 1 → (2)
Subtract (2) from (1) term by term to eliminate n
2m - 5m = - 5 - 1
- 3m = - 6 ( divide both sides by - 3 )
m = 2
Substitute m = 2 into either of the 2 equations and solve for n
Substituting into (1)
2(2) + 3n = - 5
4 + 3n = - 5 ( subtract 4 from both sides )
3n = - 9 ( divide both sides by 3 )
n = - 3
Answer:
Last choice. d.
Step-by-step explanation:
We are given the first term and the sixth term.
The first term is
.
The sixth them is
.
Let's solve for the common ratio, r.

Divide both sides by -9:

Take the fifth root of both sides:


So the common ratio is 4.






If u add them all up and multiple by two in total he walks 43 blocks
Answer:
The answer to your question is:
x = 43°, y = 137° and z= 43°
Step-by-step explanation:
-If lines L and M are parallel, that means that 43° and z are corresponding angles and they measure the same.
z = 43°
- y and 43° are supplementary angles , so
y + 43 = 180
y = 180 - 43
y = 137°
- x and z are vertical angles, so they measure the same
x = z = 43°