The answer is 1,800, you would multiply 5 by 10 which is 50 then t would be 50 to the 4th power 50 times 4 is 200. then you do the same on the other side 3 time 10 which is 30 to the second power which is 90 than you multiply 200 and 90 because when you have two parentheses next to each other you always multiply but when you do that your answer turns out to be 1,800
Answer:
15 weeks
Step-by-step explanation:
Let the number of weeks = x.
At the end of x weeks,
Jeremy has 120 + 14x,
and Katie has 180 + 10x
We want to know when their amounts are equal.
120 + 14x = 180 + 10x
4x = 60
x = 15
Answer: 15 weeks
Answer: it will trave 56.89 meters before coming to rest.
Step-by-step explanation:
This is a geometric progression since the distance travelled (height) by the ball is reducing by a constant ratio, r. Since the number of times that the ball will bounce is infinite, then we would apply the formula for determining the sum of the terms in a geometric progression to infinity which is expressed as
S = a/(1 - r)
where
S = sum of the distance travelled by the ball
a = initial distance or height of the ball
r = common ratio
From the information given,
a = 128/9
r = (32/3)/(128/9) = 0.75
Therefore,
S = (128/9)/(1 - 0.75) = 56.89 meters
Let
. Then
and
are two fundamental, linearly independent solution that satisfy
Note that
, so that
. Adding
doesn't change this, since
.
So if we suppose
then substituting
would give
To make sure everything cancels out, multiply the second degree term by
, so that
Then if
, we get
as desired. So one possible ODE would be
(See "Euler-Cauchy equation" for more info)
m<1=23
m<2=90
m<3=67
m<4=113
m<5=67
the square means it is 90° so 2 is 90°.
all of the angles combined equals 360 so.
360-67-90= 203
since there is a straight line splitting down the middle. m<4=180-67=113
so m<4=113
now you would go 360-67-113-90=90 so
m<1 + m<3 =90
180-90-67=23.
m<1=23
360-67-23-90-113=67
m<3=67
