Answer:
You can substitute
4
as
x
in the first equation because
x
and
4
are equal.
2
(
4
)
+
y
=
29
8
+
y
=
29
y
=
21
Step-by-step explanation:
Answer:
a_{n} = a_{1} + (n-1)d
a_n = the nᵗʰ term in the sequence
a_1 = the first term in the sequence
d = the common difference between terms
The general term of an arithmetic sequence can be written in terms of its first term a1, common difference d, and index n as follows: an=a1+(n−1)d. ... The nth partial sum of an arithmetic sequence can be calculated using the first and last terms as follows: Sn=n(a1+an)2.
Answer:
The work done is 202.50Nm
Step-by-step explanation:
Given



Required
The work done
First, we calculate the spring constant (k)




So:


The work done using Hooke's law is:

This gives:

Rewrite as:

Integrate

This gives:




Convert to Nm


Answer:
h(x)
Step-by-step explanation:
to solve for an inverse, you swap the x and the y and then solve for y
f(x) = 4x^3-8
y = 4x^3 - 8
x = 4y^3 - 8 swap the x and y
now solve for y:
x + 8 = 4y^3
(x + 8)/4 = y^3
1/4x + 8/4 = y^3
1/4x + 2 = y^3
y = ![\sqrt[3]{1/4x + 2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B1%2F4x%20%2B%202%7D)
It’s A, as you can tell from my picture