Answer:
50th term is 159
Step-by-step explanation:
nth term=159
a + (n -1)*d = 159
12 + (n-1)*3= 159
(n - 1)*3 = 159 - 12
(n - 1)*3 = 147
n -1 = 147/3
n - 1 = 49
n = 49 + 1
n= 50
Answer: n=50th term
Step-by-step explanation:
An= a1+(n-1)d
An= nth term
A1= first term
N= nth position
D= common difference
An =159
A1= 12
D= 3
N= ?
Substitute the values
An=a1+(n-1)d
159=12+(n-1)3
Collect like terms
159-12=(n-1)3
147=3n-3
147+3=3n
150=3n
N=150/3
N= 50
Therefore 50th term will give 156
Percent of change
Percent of decrease
Percent of increase
Answer:
The cart gravitational potential energy is 117,600 Joule
Step-by-step explanation:
First lets define what a gravitational potential energy is.
A gravitational potential energy is the energy stored in an object that rise above a certain height surface.
The formula for calculating the gravitational potential energy(P.E) is m×g×h, where m is the mass of the object measured in kilograms(kg), g is the acceleration due to gravity measured in *(m/s²). It is a constant and always equal to 9.8 m/s² on the earth surface and h is the height of the object above the surface in (m).
The gravitational potential energy is measured in Joules(J).
From the question, mass(m) is given as 40 kg and the height(h) is 300m
and g=9.8m/s²
Gravitational Potential Energy(P.E) = m×g×h
=40 ×9.8 ×300
=117,600 Joules.
Therefore the cart gravitational potential energy is 117,600 Joules.
Answer:
−9⋅(5j+k) = -45j -9k.
Step-by-step explanation:
Given : −9⋅(5j+k)
To find : distributive property.
Solution : −9⋅(5j+k)
By distributive property a( b +c ) = a*b + a*c.
Then −9⋅(5j+k) = -9 *5j + (-9 *k)
−9⋅(5j+k) = -45j -9k.
Therefore, −9⋅(5j+k) = -45j -9k.