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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:
Slope intercept form is y=mx+b
Let’s first find the slope, which is y2-y1/x2-x1
Let’s make the point (-2,-5) our x1 and y1 and let’s make the point (3,5) our x2 and y2.
5+5/3+2
10/5
2 = slope
So far, our equation is looking like this:
y=2x + b
To find the y-intercept (b), let’s plug in one of the points.
Let’s use the point (3,5)
(5)=2(3) + b
5=6 + b
What adds to 6 to equal 5? -1
So, our y-intercept is going to be -1
Finally, our equation is going to look like this:
y=2x-1
Hope I helped!
Let t represent Todd's age now.
.. 4(t -3) -(t -3) = 81 . . . . . . 3 years ago, their differnce in ages was 81.
.. 3t -9 = 81
.. t = (81 +9)/3 = 30
Todd is 30 now.
_____
You can also work this by considering "ratio units." 3 years ago, the ratio of their ages was 4:1, a difference of 3. That difference corresponds to 81 years, so each "ratio unit" represents 81/3 = 27 years. Todd's age then was 1 ratio unit, 27 years. Now, Todd's age is 30.
Answer:
Matt's
Step-by-step explanation:
he has to give away $14 (-14)
and also $7 (-7)
The others have positive numbers.