First term: a1 = 151
common difference: d = -14 (we decrease by 14 each time, eg, 151-14 = 137)
nth term of this arithmetic sequence is...
an = a1+d(n-1)
an = 151+(-14)(n-1)
an = 151-14n+14
an = -14n+165
This will be used in the formula below
Sn = n*(a1+an)/2
<span>Sn = n*(151+(-14n+165))/2
</span><span>S26 = 26*(151+(-14*26+165))/2 ... replace every n with 26
</span>S26 = -624
The final answer here is choice C) -624
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<span>7/8 - 2/3 = 5/24 is the correct answer of the question </span>
Answer:
A. (–8, 2)
Step-by-step explanation:
(1) y = ½x + 6
(2) y = -¾x – 4 Set (1) = (2)
½x + 6 = -¾x – 4 Multiply each side by 4
2x + 24 = -3x – 16 Add 16 to each side
2x + 40 = -3x Subtract 2x from each side
40 = -5x Divide each side by -5
(3) x = -8 Substitute (2) into (1)
y = ½(-8) +6
= -4 + 6
= 2
The solution to the system of equations is (-8 ,2).
You can see the graphs of the two functions in the figure below. The two lines intersect at (-8, 2).
Check:
2 = ½(-8) + 6 2 = -¾(-8) - 4
2 = -4 +6 2 = 6 - 4
2 = 2 2 = 2
Answer:
2%
Step-by-step explanation:
Set up a proportion
x / 100 = 12 / 600
Cross multiply
600x = 1200
Divide both sides by 600
x = 2
I hope this helped and please mark me as brainliest!
Answer:
A≈28.26 in^2
Step-by-step explanation:
We know the diameter is 6
We can find the radius
r = d/2
r =6/2 =3 inches
The area of a circle is given by
A = pi *r^2
A = pi*3^2
A = pi*9
We will use 3.14 to approximate pi
A ≅(3.14) *9
A≈28.26 in^2
