Question 7 options: 2/3 2 8/27 3

Mathematics

1 answer:

topjm [15]3 years ago

5 0

Answer:

2/3

Step-by-step explanation:

If 2/3 · x= 4/9 then 4/9 ÷ 2/3= x

KCF (Keep Change Flip)

Keep 4/9

4/9 ÷ 2/3

Change from division to multiplication

4/9 · 2/3

Flip 2/3 to 3/2

4/9 · 3/2

Multiply 4 · 3= 12

Multiply 9 · 2= 18

Simplify

12 ÷ 6= 2

18 ÷ 6= 3

x=2/3

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A country's population in 1992 was 72 million. In 1998 it was 76 million. Estimate the population in 2012 using the exponential

stepan [7]

We assume the annual percentage increase is the same. We will work out the constant k using the formula

We have
P = 76
A = 72
t = 6 years (from 1992 to 1998)

Substitute into the formula
$76=72e^{6k}$
$\frac{76}{72}=e^{8k}$
Take log both sides give
$ln( \frac{76}{72})=ln(e^{6k})$
$0.05406722127=6k$
$k=0.009$

We can now work out the number of population by the end of 2012 using the formula

We have
A = 72 million
k = 0.009
t = 10 years (1992 to 2012)

$P=72e^{0.009*10}$ $P=78.78$ ≈79 million

7 0

3 years ago

Solve?????????????????

Shtirlitz [24]

Answer,

x = 5/2 + 1/2 √57 or x = 5/2 + -1/2 √57

Explanation,

Step 1: Use quadratic formula with a=1, b=-5, c=-8.

It's kinda hard to type out again so I just took a pic :-)