Course Task As I sat under an Oak tree I recognized some similar comparisons to what Isaac Newton saw under his apple tree.
I saw three different objects fall to the ground…an acorn, a leaf, and a small stick. I wondered how and why they fell the way they did. The stick fell from the very top of the tree and seemed to almost “slow down” about half way down. The acorn got faster all the way to the ground. Yet the leaf would just float back and forth in a calm rhythm like motion.
Furthermore, I could see the moon sitting up in the sky just waiting to peak over the trees at dark.
How is it that all objects are apparently affected by the earth’s gravity but they seem to respond differently? If gravity is a force that affects all objects…shouldn’t all objects respond the same? Interesting Phenomenon huh….

Can you explain what is happening with each of these four objects (including the moon)?

linear

step-by-step explanation:

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

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!