A word phrase for 3m would be: 3 times a number m
Answer: x
=
6
Explanation:
the initial statement is
x
∝
1
y
to convert to an equation multiply by k the constant
of variation
⇒
x
=
k
×
1
y
=
k
y
to find k use the given condition
x
=
4
when
y
=
9
x
=
k
y
⇒
k
=
x
y
=
4
×
9
=
36
equation is
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
x
=
36
y
2
2
∣
∣
∣
−−−−−−−−−−−−
when
y
=
6
then
x
=
36
6
=
6
Step-by-step explanation:
Answer:
a) shown
b) h = [sqrt(17) - (5/2)t]²
c) t = 2sqrt(17)/5 seconds
Step-by-step explanation:
V = pi × r² × h
V = pi × 5² × h
V = 25pi × h
a) dV/dt = dV/dh × dh/dt
-5pi × sqrt(h) = 25pi × dh/dt
dh/dt = -sqrt(h)/5
b) 1/sqrt(h) .dh = -5. dt
2sqrt(h) = -5t + c
t = 0, h = 17
2sqrt(17) = 0 + c
c = 2sqrt(17)
2sqrt(h) = -5t + 2sqrt(17)
sqrt(h) = [2sqrt(17) - 5t] ÷ 2
sqrt(h) = sqrt(17) - (5/2)t
Square both sides
h = [sqrt(17) - (5/2)t]²
c) empty: h = 0
0 = [sqrt(17) - (5/2)t]²
sqrt(17) - (5/2)t = 0
(5/2)t = sqrt(17)
t = 2sqrt(17)/5
t = 1.64924225 seconds
sqrt: square root
Answer:
Step-by-step explanation:
<u>Recursive sequence
</u>
In a recursive sequence formula, each term 
is computed as a function of one or more previous terms. In the formula
n is the number of the term we want to calculate. If n=8, then the formula becomes
We can see 
is the previous term. It means we need 
to be able to compute 
. But we also need 
to compute and so on until some known data is reached. The question provides five terms, 
