Answer:
d = 6
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₄ = 23 and a₁₁ = 65 , then
a₁ + 3d = 23 → (1)
a₁ + 10d = 65 → (2)
Subtract (1) from (2) term by term to eliminate a₁
10d - 3d = 65 - 23
7d = 42 ( divide both sides by 7 )
d = 6
3 in.
1 x 3 = 3
If you're enlarging it by a scale factor, a good way to look at it is a graph. A one by one box on a graph paper would turn into a three by three box.
Answer: D, 3 in.
Answer:
A and C
Step-by-step explanation:
![\left (2^{\frac{1}{6}} \right)^{9} = 2^{\frac{3}{2}} = \left (2^{3} \right)^\frac{1}{2}= 8^{\frac{1}{2}} = \sqrt{8}\\\left (2^{\frac{1}{6}} \right)^{9} = \left(2^{9}\right)^{\frac{1}{6}} = \left(512\right)^{\frac{1}{6}}= \sqrt[6] {512}](https://tex.z-dn.net/?f=%5Cleft%20%282%5E%7B%5Cfrac%7B1%7D%7B6%7D%7D%20%5Cright%29%5E%7B9%7D%20%3D%202%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%20%3D%20%5Cleft%20%282%5E%7B3%7D%20%5Cright%29%5E%5Cfrac%7B1%7D%7B2%7D%3D%208%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%20%3D%20%5Csqrt%7B8%7D%5C%5C%5Cleft%20%282%5E%7B%5Cfrac%7B1%7D%7B6%7D%7D%20%5Cright%29%5E%7B9%7D%20%3D%20%5Cleft%282%5E%7B9%7D%5Cright%29%5E%7B%5Cfrac%7B1%7D%7B6%7D%7D%20%3D%20%5Cleft%28512%5Cright%29%5E%7B%5Cfrac%7B1%7D%7B6%7D%7D%3D%20%5Csqrt%5B6%5D%20%7B512%7D)
Answer:
option 1 or should be
Step-by-step explanation:
4/1.5 is 2.6 and 2/3 as a fraction is 66666 so yeah
