35/12

Step-by-step explanation:

2 1/2 is 5/2

1 1/6 is 7/6

Multiply these together to get (5*7)/(2*6) or 35/12.

2 11/12

Step-by-step explanation:

2 1/2 * 1 1/6

Change the mixed numbers to improper fractions

2 1/2 = (2*2+1)/2 = 5/2

1 1/6 = (6*1+1) /6 = 7/6

Replace with the improper fractions

5/2 * 7/6 = 35/12

Now we have to change it back to a mixed number

12 goes into 35 2 times (2*12 =24)

35 -12 = 11 with 11 left over

2 11/12

the runner’s pulse will be 70 beats per minute in 7.9 minutes

Step-by-step explanation:

Graph the function using a graphing utility.

Graph is attached below.

P(t) is beats per minute

Given P(t) is 70, so we plug in 70 for P(t) and solve for t

Divide both sides by 145

Now take ln on both sides

Divide both sides by -0.092

So t≈7.91564

Round to nearest tenth t= 7.9

We can verify it from second graph

Step-by-step explanation:

the diagonal of a rectangle is the same as the hypotenuse of a right triangle. So we already have two sides of this right triangle the short side being 6 in and the long side being 14. We can use the pythagorean theorem to solve.

This means that there were different side-effects that happened that people didn't consider when they were creating the legislation. Whether good or bad people didn't expect it.

When you are given the 3-letter names of the angles, as here, adjacent angles will have 2 letters the same (the common side), and the same middle letter (the common vertex).

The adacent angles in your list are

∠OPN and ∠QPN