Answer:
7.8535891e+84
Step-by-step explanation:
Multiply,
40 x 39 x 38 x 37 x 36 x 35 x 34 x 33 x 32 x 31 x 30 x 29 x 28 x 27 x 26 x 25 x 24 x 23 x 22 x 21 x 20 x 19 x 18 x 17 x 16 x 15 x 14 x 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1/10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 x 30 x 29 x 28 x 27 x 26 x 25 x 24 x 23 x 22 x 21 x 20 x 19 x 18 x 17 x 16 x 15 x 14 x 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = A lot of numbers.
Answer:
a) See the file below, b) ![s = \int\limits^{0.5\pi}_{-0.25\pi} {[\left( 3\cdot \cos t\right)^{2}+\left(-5\cdot \sin t \right)^{2}]} \, dx](https://tex.z-dn.net/?f=s%20%3D%20%5Cint%5Climits%5E%7B0.5%5Cpi%7D_%7B-0.25%5Cpi%7D%20%7B%5B%5Cleft%28%203%5Ccdot%20%5Ccos%20t%5Cright%29%5E%7B2%7D%2B%5Cleft%28-5%5Ccdot%20%5Csin%20t%20%5Cright%29%5E%7B2%7D%5D%7D%20%5C%2C%20dx)
, c) 
Step-by-step explanation:
a) Points moves clockwise as t increases. See the curve in the file attached below. The parametric equations describe an ellipse.
b) The arc length formula is:
c) The perimeter of that arc is approximately:
Answer:
x= -5 or -1
Step-by-step explanation:
subst y = -x + 5 into y = x^2 + 5x + 10
-x +5 = x^2 + 5x +10
x^2 +6x +5 = 0
(x+5)(x+1)=0
x= -5 or -1
Answer:
Sam is 12, sam's brother is 19, and sam's mom is 32.
Step-by-step explanation:
First the equation you need to use is S+7+S+3S-4=63(the variable s represents Sam), you combine the like terms which then equals 5S+3=63, then you use inverse operations. Subtract 3 on both sides, 5S=60, then you divide on both sides which equals S equals 12. Then you just plug in the number, S is Sam which means Sam's 12. Then 12+7 which is 19, Sam's brother. Then 3 times 12 minus 4 is 32. And if you check to make sure, 12+19+32 does equal 63.
