Answer: Your right!
-8n-13
Step-by-step explanation:
-2(4n-1)+15=
-8n+2-15
Combine like terms- 2-5= -13
so -8n-13
Answer:
Step-by-step explanation:
Let's use the definition of the Laplace transform and the identity given:
with
.
Now,
. Using integration by parts with u=e^(-st) and dv=cos(5t), we obtain that
.
Using integration by parts again with u=e^(-st) and dv=sin(5t), we obtain that
.
Solving for F(s) on the last equation,
, then the Laplace transform we were searching is
Hi there there's several ways this could be proven one way us to consider the allied angle theory where two angles formed between parallel lines are supplementary which in this case can be proven by
2(45)+90=180⁰ ✔
or 3(45)+45=180⁰✔
this would not be the case if it wasn't parallel
Consequently, you can also use the alternate angle theory where you essentially extend one of the lines and you'll see two equal alternate angles
Answer:
the 4th one
Step-by-step explanation:
Answer:
the number is 24
Step-by-step explanation:
10 less than two thirds the number is one fourth the number
Let the unknown number be x
two third of the number is 
10 less than two third the number becomes

one fourth the number becomes 
10 less than two thirds the number is one fourth the number

We need to solve for x
LCD is 3*4 = 12
Multiply the whole equation by 12

8x - 120 = 3x
add 120 on both sides
8x = 3x + 120
Subtract 3x on both sides
5x = 120
divide by 5 on both sides
x= 24