A forest covers 33,000 acres. A survey finds that 0.8% of a forest is old-growth-tree. How many acres of old-growth-trees are there?

264 acres

Step-by-step explanation:

Since 33,000 acres is 100%, 330 acres is 1% because 33000 acres divided by 100 is 330 acres. Then if 330 acres is 1%, 33 acres is 0.1% because 330 acres divided by 10 is 33 acres. 1 divided by 10 is 0.1.

Next 33 acres times 8 because 0.8% is eight times bigger than 0.01%. This equals to 264 acres.

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is