I can't speak to the cactus specifically, but any sphere has a surface area of

and a volume of

, so the area-to-volume ratio wold be


Where <em>r</em> is the radius of the sphere.
Answer:
8y^6
262 144y
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
=
, substitute values
=
( cross- multiply )
10(6x + 3) = 25(x + 11) ← distribute parenthesis on both sides
60x + 30 = 25x + 275 ( subtract 25x from both sides )
35x + 30 = 275 ( subtract 30 from both sides )
35x = 245 ( divide both sides by 35 )
x = 7
Then
KL = 6x + 3 = 6(7) + 3 = 42 + 3 = 45 → b
Answer:

Step-by-step explanation:
We have:

And we want to find the value of x such that the expression is positive. So, we can write this as the following inequality:

Solve for the inequality. First, we can solve for the zeros like a normal quadratic. So, pretend the inequality is with an equal sign:

Zero Product Property:

On the left, subtract 5.
On the right, add 1.
So, our zeros are:

Since our inequality is a <em>greater than</em>, our answer is an "or" inequality with our answer being all the values to the <em>left</em> of our lesser zero and all the values to the <em>right </em>of our greater zero.
So, our solution is:

And we're done!