Answer:
4, 8, 16, 32, 64
Step-by-step explanation:
The nth term of a geometric sequence is
= a₁
Given
a₇ = 256 and a₁₀ = 2048 , then
a₁ 
= 256 → (1)
a₁ 
= 2048 → (2)
Divide (2) by (1)
= 
r³ = 8 ( take the cube root of both sides )
r = ![\sqrt[3]{8}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B8%7D)
= 2
Substitute r = 2 into (1)
a₁ × 
= 256
a₁ × 64 = 256 ( divide both sides by 64 )
a₁ = 4
Then
a₁ = 4
a₂ = 2a₁ = 2 × 4 = 8
a₃ = 2a₂ = 2 × 8 = 16
a₄ = 2a₃ = 2 × 16 = 32
a₅ = 2a₄ = 2 × 32 = 64
The number of bags that they will need if each bag contains 500 cubic inches of confetti is 20,000
<h3>How to find the total volume ?</h3>
One bag contains 500 cubic inches of confetti.
Therefore,
1 bag = 500 inches³
The student need to fill 100 containers with the bag.
Each container can accomodates 100,000 cubic inches.
Therefore,
1 bag = 500 inches³
100,000inches³ = 1 container = 200 bags
Therefore,
100 containers will contain 20, 000 bags of confetti.
learn more on volume here: brainly.com/question/10224096
<span>2s+5>= 49
Subtract 5 from both sides
2s>=44
Divide 2 on both sides
Final Answer: s>=22</span>
The given question describes a right triangle with with one of the angles as 20 degrees and the side adjacent to the angle 20 degrees is of length 5,000 feet. We are looking for the length of the side opposite the angle 20 degrees.
Let the required length be x, then
Therefore, the height of the airplane above the tower is 1,819.85 feet.
Answer:
f(x) = 1/2(4 - x)(x - 1)(x - 2)
Step-by-step explanation:
Considering zero's and a coefficient, the function is:
f(x) = a(x - 4)(x - 1)(x - 2)
Considering y-intercept:
f(0) = a(0 - 4)(0 - 1)(0 - 2)
4 = a(-4)(-1)(-2)
4 = -8a
a = -1/2
So the function is:
f(x) = -1/2(x - 4)(x - 1)(x - 2) = 1/2(4 - x)(x - 1)(x - 2)
