Answer:
8.68 seconds
Step-by-step explanation:
Given:
Height of the deck above the street, s = 370 m
Since the condition is of free falling
thus,
initial speed, u = 0
Acceleration of the penny = acceleration due to gravity, g = 9.81 m/s²
Now,
from Newton's equation of motion, we have
here,
s is the distance
a is the acceleration
t is the time
on substituting the values, we get
or
t² = 75.433
or
t = 8.68 seconds
Answer:
22.28
Step-by-step explanation:
Answer:
the solution is (-4, 2)
Step-by-step explanation:
6x + 8y = -8
x + 4y = 4
... can be solved using elimination by addition and subtraction, among other methods. Multiply the second equation by -2 to obtain
6x + 8y = -8
-2x - 8y = -8
Combining these results in
4x = -16. Thus, x = -4.
Substituting -4 for x in x + 4y = 4 results in
-4 + 4y = 4, or 4y = 8, or y = 2
Then the solution is (-4, 2)
Answer:
Step-by-step explanation:
from the graph of f(x)
when x=1,f(x)=0
or f(1)=0
when f(x)=2,x=2
for g(x)
when x=6,g(x)=16
or g(6)=16
when g(x)=18,x=32
for h(x)
when x=14
h(x)=27x-7
h(14)=27×14-7=7(27×2-1)=7(54-1)=7×53=371
h(x)=-493
27x-7=-493
27 x=-493+7=-486
3 x=-54
x=-18
for p(t)
when t=94
p(t)=24
p(94)=24
p(t)=67
t=31
