The second term of the arithmetic sequence is:
a₂= -9
<h3>
How to find the second term in the sequence?</h3>
Here we have an arithmetic sequence, such the the recursive formula is:
aₙ = aₙ₋₁ + 4
So to get each term, we need to add 4 to the previous one.
We know that the first term is:
a₁ = -13
Then the second term will be:
a₂ = a₁ + 4 = -13 + 4 = -9
Learn more about arithmetic sequences:
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Answer:
y = 8x + 25
Step-by-step explanation:
Using the coordinates (10, 105) and (20, 185)
The standard linear equation is expressed as y = mx+c
m is the slope
c is the intercept
m = 185 - 105/20-10
m = 80/10
m = 8
Get the y-intercept
Since y = mx+c
105 = 8(10) + c
105 = 80 + c
c = 105 - 80
c = 25
Get the required equation
Recall that y = mx+c
y = 8x + 25
Hence the required equation is y = 8x + 25
-13>-5x+2>-28 subtract 2 from all expressions
-15>-5x>-30 divide each expression by -5
Be sure to reverse direction of signs when you divide/multiply by a negative value!
3<x<6
So the "graph" will be a infinitely high plane, or area, contained between the two vertical lines x=3 and x=6
9514 1404 393
Answer:
(a, b, c) = (30, 50, 55)
Step-by-step explanation:
If we rewrite the ratio of A to B so it has the same number of ratio units as in the ratio of A to C, we have ...
A : B = 3 : 5 = 6 : 10
A : C = 6 : 11
so ...
A : B : C = 6 : 10 : 11
The total number of ratio units is 27. They stand for 135 real units, so each one stands for 135/27 = 5 real units.
Multiplying the last ratio statement by 5, we find the lengths of each of the sides.
A : B : C = 6 : 10 : 11 = 30 : 50 : 55
The side lengths are (a, b, c) = (30, 50, 55).
Answer:
321.56
Step-by-step explanation:
volume = (4/3) * π * r³
