Answer:
the number is 5
Step-by-step explanation:
x^10 ÷ x^7 = 125
x^3 = 125
x = 5
For direct variation y varies directly with x, then we use equation y = kx
Where k is the constant of proportionality
Given: Y equals 2 when X equals 3
We plug in 3 for x and 2 for y and solve for k
y = kx
2 = k(3)
Divide both sides by 3
Now we plug in 2/3 for k
Given x=-0.5 and find out y
y=-0.33
the value of y is -0.33 when x=-0.5
<span>part A:
Let
t = total the liquid in the bottle including lemon juice and water
so t = lemon juice + water ( w = water, l = lemon juice) so t = l + w
but the bottle has 1 liter of water. and <span>60% lemon juice
</span>contains 60% lemon juice = 0.6, so l = 0.6t and w(water ) = 1 liter
t = l + w
substitute l = 0.6t and w = 1 into t = l + w
now you have equation
t = 0.6t + 1
part B:
from part A, you have equation t = 0.6t +1
solve for t
t = 0.6t +1
subtract 0.6t on both sides
t - 0.6t = 0.6t - 0.6t + 1
simplify
0.4t = 1
divide both sides by 0.4
0.4t/0.4 = 1/ 0.4
simplify
t = 2.5
2.5 liters is total including lemon juice and water
2.5 - 1(1 liter of water) = 1.5 <span>1 liter of lemon juice</span></span>
coolio
so each term is ound by subtracting 13 from the previous term
an aritmetic sequence can be written as
were
is the nth term
is the first term
d is common difference, which can also be found by doing 
n=wich term
we know that and we can find d
, 
so te general term is 
which can also be expanded and written as 
Answer:
d
Step-by-step explanation:
A(n) = 1 - 0.1(n-1)
A(1) = 1- 0.1*(1-1) = 1 - 0.1*0 = 1
A(2) = 1- 0.1*(2-1) = 1 - 0.1*1 = 1- 0.1 = 0.9
A(3) = 1 - 0.1(3-1) = 1 - 0.1*2 = 1-0.2=0.8
Method:
A(1)=1
D = A(2)-A(1) = 0.9 - 1 = -0.1
A(n) = A(1)+(n-1)*d = 1 + (n-1)*(-0.1)
= 1 - 0.1(n -1)
