Answer:
The nth term of the sequence is
<h2>9n - 8</h2>
Step-by-step explanation:
The sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
From the question
a = 1
d = 10 - 1 = 9 or 19 - 10 = 9 or 28 - 19 = 9
So the nth term of the sequence is
A(n) = 1 + (n - 1)9
= 1 + 9n - 9
= 9n - 8
<h3>A(n) = 9n - 8</h3>
Hope this helps you
Answer:
66
Step-by-step explanation:
Use the formula for the mean of a set of numbers:
sum of the numbers
average = --------------------------------
count of numbers
Here we know that the average mark was 68, so we can write:
75 + 62 + 84 + 53 + x
average = 68 = ----------------------------------
5
or 274 + x
68 = -------------------
5
Solving for x, we multiply both sides by 5: 340 = 274 + x.
Subtracting 274 from both sides effectively isolates x:
340 = 274 + x
- 274 -274
------------------------
66 = x
The fifth student's mark was 66.
If similarity ratio means the ratio between the lengths of the cubes:
![\frac{ L_1^{3} }{ L_2^{3} } = \frac{V_1}{V_2} \\ \\ ratio = \frac{L_1}{L_2} = \frac{\sqrt[3]{V_1} }{\sqrt[3]{V_2} }](https://tex.z-dn.net/?f=%5Cfrac%7B%20L_1%5E%7B3%7D%20%7D%7B%20L_2%5E%7B3%7D%20%7D%20%3D%20%20%5Cfrac%7BV_1%7D%7BV_2%7D%20%20%5C%5C%20%20%5C%5C%20ratio%20%3D%20%20%5Cfrac%7BL_1%7D%7BL_2%7D%20%3D%20%20%20%5Cfrac%7B%5Csqrt%5B3%5D%7BV_1%7D%20%7D%7B%5Csqrt%5B3%5D%7BV_2%7D%20%7D%20)
Hey there. So first we need to know what the point slope form looks like.
It is Y-Y1=M (X-X1)
Knowing this you just plug in the given information.
M is equal to 1/6. So in this case all of the options have the correct m. Next we look at the Year value. We know Y is a positive 4. So the beginning of the equation is going to look like
Y+4=1/6 ( X-X1).
Nown plug in x. It would be a negative 5. Now your final answer would be option A. Hope the explanation helped.. :)
Answer:
60
Step-by-step explanation:
There are 6 equal angles that add up to 360 in that diagram. That means that if you divide 360 by 6, then you get 60.
Hope that this helps!
Edit: Thanks for the Brainliest!
