16*18 is 288
what do u mean by "<span>I double and halve"</span>
Answer:
-33/4 or -8 1/4
Step-by-step explanation:
Make similar terms:
-5/4 - 28/4: then solve
-5 - 28 = -33: put over 4
-33/4: simplify
-8 1/4
Answer:
1) m = h - w/8
Subtract h from both sides.
m - h = -w/8
Subtract m from both sides.
-h = -m - w/8
Divide all terms by -1.
h = m + w/8.
2) m = h - w/8
Get rid of the denominator 8 by multiplying 8/1 to all terms.
8m = 8h - w
Add w on both sides and subtract 8m from both sides.
w = 8h - 8m
3) w = x + y/z
Get rid of the denominator z by multiplying it to all terms.
wz = xz + y
Subtract xz from both sides of the equation.
wz - xz = y OR y = wz - xz
4) w = x + y/z
Subtract x from both sides.
w - x = y/z
Get rid of the denominator by multiplying it to all terms.
wz - xz = y
Now factor the expression wz - xz.
z(w - x) = y
Divide both sides by w - x.
z = y / w - x
This is read as z equals to y divided by w minus x.
5) The area of a triangle is A = 1/2bh
First, get rid of the denominator by multiplying both sides by 2.
2A = bh
To find b, divide both sides by h.
2A/h = b
6) P = kt/v
Multiply both sides by v.
Pv = kt
Divide both sides by t.
Pv/t = k OR k = Pv/t.
Step-by-step explanation:
It will take 1 minute because if the 100 cats eat 100 fish and they all get the same amount then the rate should 1 fish per cat per minute.....
Answer:
The Taylor series for
, the first three non-zero terms are
and the interval of convergence is 
Step-by-step explanation:
<u>These are the steps to find the Taylor series for the function</u> 
- Use the trigonometric identity:

2. The Taylor series of 
Substituting y=6x we have:
3. Find the Taylor series for 
(1)
(2)
Substituting (2) in (1) we have:

Bring the factor
inside the sum


Extract the term for n=0 from the sum:

<u>To find the first three non-zero terms you need to replace n=3 into the sum</u>

<u>To find the interval on which the series converges you need to use the Ratio Test that says</u>
For the power series centered at x=a

suppose that
. Then
- If
the the series converges for all x - If
then the series converges for all 
- If R=0, the the series converges only for x=a
So we need to evaluate this limit:

Simplifying we have:

Next we need to evaluate the limit

-(n+1)(2n+1) is negative when n -> ∞. Therefore 
You can use this infinity property
when a>0 and n is even. So

Because this limit is ∞ the radius of converge is ∞ and the interval of converge is
.