Answer:
It looks like you cut off part of the questions...
Step-by-step explanation:
There are 2 green, 3 blue, and 4 white vases.
The green vases can be arranged in 2! = 2*1 = 2 ways.
The blue vases can be arranged in 3! = 3*21 = 6 ways.
The white vases can be arranged in 4! = 4*3*2*1 = 24 ways.
The total number of arrangements is
2*6*24 = 288
Answer: 288
Answer:
An explicit representation for the nth term of the sequence:

It means, option (B) should be true.
Step-by-step explanation:
Given the geometric sequence

A geometric sequence has a constant ratio, denoted by 'r', and is defined by

Determining the common ratios of all the adjacent terms

As the ratio is the same, so
r = 4
Given that f₁ = -1/2
substituting r = 4, and f₁ = -1/2 in the nth term


Thus, an explicit representation for the nth term of the sequence:

It means, option (B) should be true.
Answer:
2/19
Step-by-step explanation:
i just took the test and no one helped me i got is wrong but when you go back to review it it tells you the answer hope im not too late
Answer:
V=15.44
Step-by-step explanation:
We have a formula
V=\int^{π/3}_{-π/3} A(x) dx ,
where A(x) calculate as cross sectional.
We have:
Inner radius: 5 + sec(x) - 5= sec(x)
Outer radius: 7 - 5=2, we get
A(x)=π 2²- π· sec²(x)
A(x)=π(4-sec²(x))
Therefore, we calculate the volume V, and we get
V=\int^{π/3}_{-π/3} A(x) dx
V=\int^{π/3}_{-π/3} π(4-sec²(x)) dx
V=[ π(4x-tan(x)]^{π/3}_{-π/3}
V=π·(8π/3-2√3)
V=15.44
We use a site geogebra.org to plot the graph.