Answer:
b: 5ft
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
A left Riemann sum approximates a definite integral as:

Here, the integral is ∫₀² 9ˣ dx, and the number of subintervals is n = 4.
So Δx = 2/n = 1/2, and x = 2(k−1)/n = (k−1)/2.
Plugging in:
∑₁⁴ 9^((k−1)/2) (1/2)
1/2 ∑₁⁴ 9^((k−1)/2)
1/2 (9^((1−1)/2) + 9^((2−1)/2) + 9^((3−1)/2) + 9^((4−1)/2))
1/2 (9^(0) + 9^(1/2) + 9^(1) + 9^(3/2))
1/2 (1 + 3 + 9 + 27)
20
10.) x+25=30
x=5
11.) 60=3x-12
72=3x
x=72/3
x=24
12.) <1+<2=90
<1+17=90
<1=90-17
m <1=73 degrees
13.) m <3+m <4=180
46+m <4=180
180-46=m<4
134=m<4
Let the nomber of 2 pointers be x and that of 3 pointers be y, then
2x + 3y = 30 . . . (1)
x = y + 5 . . . (2)
Putting (2) into (1), gives 2(y + 5) + 3y = 30
2y + 10 + 3y = 30
5y = 30 - 10 = 20
y = 20/5 = 4
x = 4 + 5 = 9