60 pencils. It’s a ratio. 60/96 can be simplified down to 5/8
Answer:
To my calculations, I think its the first one, 4+2=2+4
I hope this helps! ^^
Apologizes if you get it wrong-
Step-by-step explanation:
∫(t = 2 to 3) t^3 dt
= (1/4)t^4 {for t = 2 to 3}
= 65/4.
----
∫(t = 2 to 3) t √(t - 2) dt
= ∫(u = 0 to 1) (u + 2) √u du, letting u = t - 2
= ∫(u = 0 to 1) (u^(3/2) + 2u^(1/2)) du
= [(2/5) u^(5/2) + (4/3) u^(3/2)] {for u = 0 to 1}
= 26/15.
----
For the k-entry, use integration by parts with
u = t, dv = sin(πt) dt
du = 1 dt, v = (-1/π) cos(πt).
So, ∫(t = 2 to 3) t sin(πt) dt
= (-1/π) t cos(πt) {for t = 2 to 3} - ∫(t = 2 to 3) (-1/π) cos(πt) dt
= (-1/π) (3 * -1 - 2 * 1) + [(1/π^2) sin(πt) {for t = 2 to 3}]
= 5/π + 0
= 5/π.
Therefore,
∫(t = 2 to 3) <t^3, t√(t - 2), t sin(πt)> dt = <65/4, 26/15, 5/π>.
Answer:
3 points = 2
2 points = 6
1 point = 8
Step-by-step explanation:
Given that:
Total point scored = 26
Let number of 3 point basket = x
Number of 2 point basket = x + 4
Number of free throws = x + x + 4 = 2x + 4
Hence,
Total 3 points = 3x
Total 2 points 2(x + 4)
Total free throw points = 2x + 4
3x + 2(x + 4) + 2x + 4 = 26
3x + 2x + 8 + 2x + 4 = 26
7x + 12 = 26
7x = 26 - 12
7x = 14
x = 2
Number of 3 points = x = 2
2 points = (x+4) = 2+4 = 6
1 point = (2x+ 4) = 2(2) + 4 = 8
