3 is less than or equal to m + 1.4
1 answer:
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Answer:
= 1
Step-by-step explanation:
The n th term of an arithmetic progression is
= a + (n - 1)d
where a is the first term and d the common difference
use the 9 th term and 7 th term to find a and d
= a + 8d =
→ (1)
= a + 6d =
→ (2)
Subtract (2) from (1) term by term
2d = ⇒ d =
Substitute this value into (2) and solve for a
a + =
a = -
=
Hence
=
+
= 1
Answer:
0.0048cm/s
Step-by-step explanation:
Volume of the spherical balloon is expressed as;
dV/dt = dV/dr * dr/dt
Given
dV/dt = 5cm³/s
dV/dr = 4πr²
Since V = 972picm³
972π = 4/3πr³
972 = 4/3r³
4r³ = 972 * 3
r³ = (972 *3)/4
r³ = 729
r = ∛729
r = 9cm
dV/dr = 4π(9)²
dV/dr = 324π
dV/dt = dV/dr * dr/dt
5 = 324πdr/dt
dr/dt = 5/324π
dr/dt = 5/324(3.14)
dr/dt = 5/1017.36
dr/dt = 0.0048cm/s