Answer:
Correct answer: t₇ - a₇ = 2 · 7⁶, t₂₀ - a₂₀ = 2 · 7¹⁹
Step-by-step explanation:
Given:
Geometric sequence 2, 14, 98, 686, ......
First term is a₁ = 2
Second term a₂ = 14
Third term a₃ = 98
The quotient ( ratio) is obtained as follows:
r = 14 / 2 = 98 / 14 = 7
r = 7
n-th term is obtained as follows:
aₙ = a₁ · rⁿ⁻¹
according to this:
a₇ = 2 · 7⁶ = 2 · 117,649 = 235,298
a₂₀ = 2 · 7¹⁹ = 2 · 11,398,895,185,373,143 = 22,797,790,370,746,286
God is with you!!!
We know that 80a + 70w ≤ 7500 because Ms. Robinson cant spend more than 7500, so the answer must be A or D.
We also know that a + w ≥ 100 because Ms. Robinson must buy at least 100 chairs.
This leaves our answer to be A
To draw the 2 dimensional representation, we just "open" the box and flatten it. Once we have it opened, we find the area of each side and add them up for the total surface area. See the pic. Let me know if you have questions. :)
By using what we know about intersecting lines, we will see that:
- a) ∡7 = 47°
- b) 47° + (2x - 5)° = 180°
- c) x = 69
<h3>
How to get the measures of the angles for two intersecting lines?</h3>
When two lines intersect, 4 angles are formed. There are two properties that these angles have.
- If the angles are adjacent, then their measures add up to 180°
- If the angles are not adjacent, these angles have the same measure.
a) We know that ∡5 = 47°
And 7 is not adjacent to 5, then 7 has the same measure:
∡7 = 47°
b) 6 and 5 are adjacent, then we must have that:
∡5 + ∡6 = 180°
47° + (2x - 5)° = 180°
That is the equation we need to solve to get the value of x.
c) To solve the linear equation we need to isolate x, let's do that:
47° + (2x - 5)° = 180°
(2x - 5)° = 180° - 47° = 133°
2x - 5 = 133
2x = 133 + 5 = 138
x = 138/2 = 69.
If you want to learn more about linear equations, you can read:
brainly.com/question/1884491