I can't imagine why the variable in the exponent isn't 'n'.
To me, that's the only way this makes sense, and I'm
going to handle it as if the exponent is (n - 1) .
First term: n = 1
A(1) = -2 · 5¹⁻¹ = -2 · 5⁰ = -2 · 1 = -2 .
Fourth term: n = 4
A(4) = -2 · 5⁴⁻¹ = -2 · 5³ = -2 · 125 = -250 .
Eighth term: n = 8
A(8) = -2 · 5⁸⁻¹ = -2 · 5⁷ = -2 · 78,125 = -156,250 .
The first choice on the list looks like the correct one.
Answer:
Step-by-step explanation:
4) Angles opposite to equal sides are equal
45 + 45 + x = 180 {Angle sum property}
90 +x = 180 {Subtract 90 from both sides}
x = 180 - 90
x = 90
120 +y + y = 180 {Angle sum property}
120 +2y = 180 {Subtract 120 from both sides
2y =180 - 120
2y = 60 {Divide both sides by 2}
y = 60/2
y = 30
5)All sides are equal. so this is a equilateral triangle.
So each angle of equilateral triangle = 60
4x = 60
x = 60/4
x = 15
y = 60 +60 {Exterior of triangle equal sum of opposite interior angles}
y = 120
6) All sides are equal. so this is a equilateral triangle.
So each angle of equilateral triangle = 60
y - 10 = 60 {add 10 to both side}
y = 60 + 10
y = 70
x + 5 = 60 {Subtract 5 from both sides}
x = 60 - 5
x = 55
First, have common denominators.
1/4 = 3/12
2/3 = 8/12
8/12 - 3/12 = 5/12 or 1,010 gallon
1,010/5 gallon = 1/12 full
202 gallons = 1/12 full
7/12 needed until full ⇒ 7*202 = 1,414 gallons
Answer: - 19/4
Step-by-step explanation:
To find the slope , all we need to do is to write the equation in the form y = mx + c , where m is the slope and c is the y - intercept.
That means we need to make y the subject of the formula in the equation.
4y = 152 - 19x
Divide through by 4
y = 152/4 - 19x/4
y = 38 - 19x/4
Therefore the slope is -19/4
