40! / 30! = 40*39*38*37*36*35*34*33*32*31
dividing this by 10! 10*9*8*7*6*5*4*3*2*1
= 4*13*19*37*17*11*4*31
= 847,660,528
Answer:
yes
Step-by-step explanation:
<span>Answer: 199.81
Given:
1 hundred
9 tens
9 ones
8 tenths
1 hundredths
thus;
1 hundred = 1 x 100 = 100
9 tens = 9 x 10 = 90
9 ones = 9 x 1 = 9
8 tenths = 8 x 1/10 = 8/10 or .8
1 hundredth = 1 x 1/100 = 1/100 or .01
add: 100 + 90 + 9 + .8 + .001 = 199.81
That is: one hundred ninety-nine and eighty-one hundredths</span>
Answer: 
Step-by-step explanation:
- Dilation is a transformation, in which the size of the image gets changed but not shape.
The rule of dilation with scale factor k and wither origin as center of dilation :
(x,y) → (kx, ky)
Here , 
, center of dilation = Origin
Then, the rule best represents a dilation to create pentagon PQRST will be :
Start by dividing all terms by 4, to reduce this expression: |x+1| < 3.
Case 1: x+1 is already positive. The abs. val. operator does not change
anything. Then x+1<3, or x<2.
Case 2: (x+1) is negative. The abs. val. operator, in effect, puts a - sign in
front of (x+1): -(x+1)<3. Distributing the - sign: -x - 1 < 3. Adding 1 to both sides: -x < 4. We want to solve for positive x, so we mult. both sides of
-x<4 by -1 AND change the direction of the inequality symbol:
x > -4
Thus, the solution set is (-4,2): All real numbers between -4 and 2.
