Answer: $c divided by 8
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
union is U
A U B = m,e,a,t,i
Answer:
45
Step-by-step explanation:
The n th term of a GP is
= a
where a is the first term and r the common ratio
Given a₂ = 6 and a₅ = 48, then
ar = 6 → (1)
a
= 48 → (2)
Divide (2) by (1)
= 
, that is
r³ = 8 ( take the cube root of both sides )
r = ![\sqrt[3]{8}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B8%7D)
= 2
Substitute r = 2 into (1)
2a = 6 ( divide both sides by 2 )
a = 3
Thus
3, 6, 12, 24 ← are the first 4 terms
3 + 6 + 12 + 24 = 45 ← sum of first 4 terms
Positive turn in too a negative
Answer:64mi/hour
Step-by-step explanation:
V=speed × time
V=s×t .....equation (1)
v=576
for taking one hour: t-1
speed is: s+8
From equation(1)
V=(s+8)(t-1)
(s+8)(t-1)=576
Expand the bracket
st-s+8t-8=576
Substitute the value of st which is 576
576-s+8t-8=576
Collect the like terms
-s+8t-8=0
s=8t-8
Subtitude into the value of s
576= (8t-8)×t
576=8t^2-8t
8t^2-8t=576
8t^2-8t-576=0 (divide both by 8)
t^2-t-72=0
By factorization method
Product is (-9 and 8)
(t-9)(t+8)=0
t=9 or t=-8
V=s×t
576=s×9
9s=576
s=576/9
s=64mi/hour
