Calculate R8 for f (x) =10−x
over [3,5]. Here is the solution:
R8 = ∫ [3..5] (10 - x) dx
= [ (50 - 25/2 ) - ( 30 - 9/2 ) ]
= ( 75/2 – 51/2 ) = 24/2
<span>= 12</span>
Answer:
run = 1081.6 ft
Step-by-step explanation:
sin = opp/hyp
sin18 = 3500 / run
run = 3500 / sin18
run = 1081.6 ft
Answer: Each shirt costs $1.25, and each hat costs $2.5.
Step-by-step explanation:
Let x= Cost per T-shirt, y = Cost per Hat.
As per given,
3x+3y=11.25 (i)
4x+2y=10 (ii)
Multiply 4 to equation (i)
12x+12y=45 (iii)
12x+6y= 30 (iv)
Eliminate (iv) from (iii), we get
6y= 15
⇒ y = 2.5
Put value of y in (i)
3x+3(2.5)=11.25
⇒3x+7.5=11.25
⇒3x= 3.75
⇒x= 1.25
Hence, each shirt costs $1.25, and each hat costs $2.5.
Joni pays an annual interest of 5%, which means that in three years, the interest is 15%.
Let us assume that the amount Joni borrowed is m.
After three years, the interest is $30.
15% of the amount m = $30
0.15m = 30
m = 30/0.15 = 200
Therefore, Jodi originally borrowed $200.
9514 1404 393
Answer:
Dan obviously didn't measure the remainder, which is (C) 3 11/12 ft.
Step-by-step explanation:
After the cut, Dan has ...
8 3/4 - 4 5/6 = 8 9/12 - 4 10/12
= (8 -4) +(9/12 -10/12) = 4 -1/12 = 3 11/12 . . . ft