Since you subtract 6 and you have to find the sixth term, you can do:
-6×5=-30 ( negative shows you're subtracting and since 75 is the first term, then you have to find the difference of the input/term 6-1, the sixth term minus the first)
75-30=45
You can check by actually continuing the pattern.
75,69,63,57,51,45,39......
Answer:
5/12 - 4/5 = -23/60. You can't simplify -23/60. Hope this is right
Step-by-step explanation:
4/5= 48/60
5/12 = 25/60
25/60-48/60= -23/60
Answer:
x = - 5, x = 2
Step-by-step explanation:
Using the rules of logarithms
log x - log y = log (
)
x = n ⇔ x = 
note that log x =
x
Given
log (x² + 3x) - log10 = 0, then
log(
) = 0, thus
=
= 1 ( multiply both sides by 10 )
x² + 3x = 10 ( subtract 10 from both sides )
x² + 3x - 10 = 0 ← in standard form
(x + 5)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x - 2 = 0 ⇒ x = 2
Solution is x = - 5, x = 2
Answer:

Step-by-step explanation:
we know that
The surface area of the triangular prism that will be covered with insulation is equal to the area of the two triangular faces plus the two lateral rectangular faces
so
![SA=2[\frac{1}{2}(15)(15)]+2[(30)(15)]= 1,125\ ft^{2}](https://tex.z-dn.net/?f=SA%3D2%5B%5Cfrac%7B1%7D%7B2%7D%2815%29%2815%29%5D%2B2%5B%2830%29%2815%29%5D%3D%201%2C125%5C%20ft%5E%7B2%7D)