Step-by-step explanation:
F(x) = ∫ₐˣ t⁷ dt
F(x) is the area under f(t) between t=a and t=x. When x=a, the width of the interval is 0, so the area is zero.
F(6) = 0, so a = 6.
F(x) = ∫₆ˣ t⁷ dt
F(6) = ∫₆⁶ t⁷ dt
F(6) = 0
Answer:
QT = 16
Step-by-step explanation:
ΔQRS ~ ΔQRT
In similar triangles, corresponding angles are in same ratio.

Cross multiply,
QT * 25 = 20 * 20

Answer:
13 minus 3x cubed
Step-by-step explanation:
Answer:
<h2>33.2Km</h2>
Step-by-step explanation:
<h3>Time used for journey = </h3>
13 : 24 - 11 : 32 = 1 : 92
1 : 92 = 1 hour 92 minutes
1 hour 92 minutes = 2 hours 32 minutes
<h3>changing 32 minutes to hours</h3>
1 h = 60 min
x = 32 min
x= 32 /60
x= 8/15 hours
<h3>Adding the 2hours to 8/15 hours</h3>
8/15 h + 2 h = 38 / 15
<h3>Using formula for distance</h3>
Distance = Speed × Time
Distance = 85km / h × 38 /15 h
Distance = 33.15 km
To 1DP = 33.2
Amount = P(1 + r/t)^nt = 2033.88(1 + 0.039/2)^(11 x 2) = 2033.88(1 + 0.0195)^22 = 2033.88(1.0195)^22 = 2033.88(1.5294) = $3110.60