The population of the state of California was about 37,250,000 people in 2013. Which number best approximates the population as a single
digit times a power of 10?

The population of the state of California was about 37,250,000 people in 2013. Which number best approximates the population as a single digit times a power of 10?

A. 3 × 10⁻⁶

B. 4 × 10⁻⁷

C. 3 × 10⁶

D. 4 × 10⁷

Option D = 4 × 10⁷

Step-by-step explanation:

We are given the population of people = 37,250,000 people

We round to a power of 10

and that would give us 3.7 × 10⁷

We are told in the question to approximate the population as a single digit,

3.7 × 10⁷ s a single digit = rounding up to the nearest whole number

= 4 × 10⁷.

Therefore, the number that  best approximates the population as a single digit times a power of 10 is

= 4 × 10⁷

john earns $14.00 for two hours of work.

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3