Answer:
V=33.51in^3
Step-by-step explanation:
5inch-1 in
=4inch
divide by 2 because the problem gives diameter, not radius. (radius is half of diameter)
The space inside is a sphere so it will be
V=4/3πr^3
V=4/3*pi*(2)^3
V=33.51 inch cubed
<span>I note that this problem starts out with "Which is a factor of ... " This implies that you were given several answer choices. If that's the case, it's unfortunate that you haven't shared them.
I thought I'd try finding roots of this function using synthetic division. See below:
f(x) = 6x^4 – 21x^3 – 4x^2 + 24x – 35
Please use " ^ " to denote exponentiation. Thanks.
Possible zeros of this poly are factors of 35: plus or minus 1, plus or minus 5, plus or minus 7. Use synthetic division; determine whether or not there is a non-zero remainder in each case. If none of these work, form rational divisors from 35 and 6 and try them: 5/6, 7/6, 1/6, etc.
Provided that you have copied down the function
</span>f(x) = 6x^4 – 21x^3 – 4x^2 + 24x – 35 properly, this approach will eventually turn up 1 or 2 zeros of this poly. Obviously it'd be much easier if you'd check out the possible answers given you with this problem.
By graphing this function, I found that the graph crosses the x-axis at 7/2. There is another root.
Using synth. div. to check whether or not 7/2 is a root:
___________________________
7/2 / 6 -21 -4 24 -35
21 0 -14 35
----------- ------------------------------
6 0 -4 10 0
Because the remainder is zero, 7/2 (or 3.5) is a root of the polynomial. Thus, (x-3.5), or (x-7/2), is a factor.
Answer:
Step-by-step explanation yes
3 because 2*12 24 24/8 is 3 hope this helps
<span>If you would like to know how many of each type
of ticket were sold, you can calculate this using the following two
equations:
a ... the number of drakes fan club tickets
s ... the number of no members tickets
$550 = a * $20 + s * $25 ... 550 = 20 * a + 25 * s
a + s = 25 ... a = 25 - s
__________________
</span>550 = 20 * a + 25 * s
<span>
550 = 20 * (25 - s) + 25 * s</span>
550 = 20 * 25 - 20 * s + 25 * s
550 - 20 * 25 = 5 * s
550 - 500 = 5 * s /5
s = 50 / 5
s = 10 tickets
<span>a = 25 - s = 25 - 10 = 15 tickets</span>
<span>Result: There were 15 drakes fan club and 10 no members tickets sold.</span>
