You use the arithmetic sequence formula and input the information given to you.
tn = a + (n-1)d
t(56) is what your looking for so don't worry about the tn.
a is your first term,
a = 15.
n is the position of the term you are looking for, n = 56.
And d is the common difference, you find this by taking t2 and subtracting t1. t2=18 and t1=15.
d = 18 - 15 = 3
Inputting it all into the formula you get,
t(56) = 15 + (56-1)(3)
term 56 = 180.
You use this formula to find any term in a sequence provided you are given enough info. You can also manipulate it if you are asked to find something else like the first term(a), common difference(d) or term position(n). It just depends on what the question is asking and what information you are given. :)
Hope this helps!
B. the slope is positive because its in a straight line
It is B, the coefficient of the x-term. When you multiply this out, you get x*x+x*q+x*p+p*q, or x^2+x(p+q)+p*q
Notice how the x term is multiplied by p+q.
Hope this helps!
Answer:
The probability that carbon emissions from the company’s factory exceed the permissible level is 35%.
That means the probability that the carbon emissions at within permissible level are 65%
The test, which has an accuracy rate of 85%, which means 85% of positive reading has a positive result. The positive reading indicates that the factory's carbon emissions are within the permissible level.
the answer is .9132
Step-by-step explanation:
hope this helps you
Answer:
x= 6 and b= 126°
Step-by-step explanation:
okay the first step to solving this is understanding what are the properties of ∠A and ∠B.
so the angles are equal to each other because they are alternate interior angles.
if that is settled it means the equation for both angles would be equal to each other as well.
∠A= 8x + 78° ∠B= 2x + 114°
therefore: 8x + 78= 2x + 114
then solve for x:
- isolate x and the answer is equal to 6 at the end
now you are looking for angle b, so you input x which is 6 into the equation;
= 2(6) + 114°
=12 + 114°
=126°