6n+1 = 25
subtract 1 from each side
6n+1-1 = 25-1
6n = 24
divide each side by 6
6n/6 = 24/6
n =4
Answer:
Step-by-step explanation:
Given matrix is,
Operations performed,
-10R₂ → R₂
3R₃ → R₃
Answer:
30.67 feet
Step-by-step explanation:
A proportion is often useful for solving scale drawing problems.
actual size : drawing size = (room length) : (23 in) = (2 ft) : (1.5 in)
Multiplying by 23 in gives ...
room length = (2 ft)(23 in)/(1.5 in) = 46/1.5 ft = 30 2/3 ft
room length ≈ 30.67 ft.
We can use ratios, in other words, if one part of the photo is changed x times, how many times does the other part change?
We can set up the proportion as :
width 1 : length 1 = width 2 : length 2
20 : 30 = 5 : x
We do inverse multiplication, or multiply the outer with outer and inner with inner (W1 * L2 and L1 * W2)
20*x = 30*5
20x = 150
Divide all by 10
2x = 15
Divide all by 2 to isolate x
x = 15/2
x = 7.5cm
Answer:
p=ak^t
p1=491272*k^0
p2=782341*k^10
782341/491272 = k^10
k=1.047629
growth rate is 4.7629%
2012: predicted population is 491272*1.047629^12=858,642 people
1245863=491272*1.047629^t
1.047629^k=2.5363599
ln both sides is k ln 1.0476=ln 2.5363
t=20.000 years.
Rule of 72 would say 72/4.76 or 15.12 years for doubling
14.90 years
2017 predicted is 491272*1.0476^17 or 1083552, or more than actual, so the rate of growth is slowing down.
