Answer:
6.1568 to 1
A Democrat is 6.1568 more likely to respond "yes" than a Republican
Step-by-step explanation:
From the provided data, the following relationships can be modeled:

Combining the information to compare democrats to republicans:

The estimated odds of a yes response for a Democrat was 6.1568 times higher than for a Republican. This means that a Democrat is 6.1568 more likely to respond "yes" than a Republican.
Answer:
4 x^(3/2) + 5x -32
Step-by-step explanation:
This problem involves definite integration (anti-derivatives).
If dy/dx = 6x^(1/2) - 5, then dy = 6x^(1/2)dx - 5dx.
(1/2) + 1
This integrates to y = 6x
----------------
(1/2) + 1 x^(3/2)
= 6 ------------ + C
3/2
or: 4 x^(3/2) + C
and the ∫5dx term integrates to 5x + C.
The overall integral is:
4 x^(3/2) + C + 5x + C. better expressed with just one C:
4 x^(3/2) + 5x + C
We are told that the curve represented by this function goes thru (4, 20).
This means that when x = 4, y = 20, and this info enables us to find the value of the constant of integration C:
20 = 4 · 4^(3/2) + 5·4 + C, or:
20 = 4 (8) + 20 + C
Then 0 = 32 + C, and so C = -32.
The equation of the curve is thus 4 x^(3/2) + 5x -32
(1/2 + 1)
I think that the answer is c but I'm not sure don't take my word for it if answer is wrong please don't be mad
Had to do a bit of guesswork to figure out what you're asking here. If you're given the 2 angles pi/4 and pi/6, you can find any trig function of either angle.
The sine of pi/4 is 1 / sqrt(2); the cosine is the same.
The cosine of pi/6 is sqrt(3) / 2; the sine of pi/6 is 1/2.
If this isn't quite what you were looking for, try paraphrasing your question to make it clearer.
Answer:
Step-by-step explanation:
Created Sequences
S1: 10 20 40 80 150
s2:24 20
The first term that appears in both sequences is the second term. Both of them equal 20.
I don't think you have to go any further once you get the first term.
Method
S1: Multiply by 2 starting with 10.
10*2 = 20
20*2 = 40
S2: Start at 24 and subtract 4
24 - 4 = 20
20 - 4 = 16
16 - 4 = 12