First of all we use Pemdas. Add the parantheses first. So its 7-18(-5/3) then you multiple the -18 to 5/3 Because after Parantheses its Exponents multiplication. So it becomes 30. Then you add 7 to get 37. I hope this is helpful.

3 0

2 years ago

The volumes of two spheres are in a ratio of 1:8 what is the eatio rafi

Agata [3.3K]

Remark
I take it that you want to know the ratio of the radii. If this is not correct, leave a comment below my answer.

You could do this by giving the spheres a definite volume, like 1 and 8 and then solve for r for one of them and then use the other sphere to find it's radius. It is not exactly the best way, and if you are going to to a physics class you want to be doing this using cancellation.

Step One
Set up the Ratio for the volumes.

$\frac{V_1}{V_2} = \frac{1}{8}$

Step Two
Setup the equation for V1/V2 using the definition for a sphere. V = 4/3 pi r^3

$\dfrac{1}{8} = \frac{ \frac{4}{3} \pi( r_1)^3 }{ \frac{4}{3} \pi( r_2)^3 }$

Step Three
Cancel the 4/3 and pi on the top and bottom of the fractions on the right.

You are left with 1/8 = (r1)^3/ (r2)^3

Step Four
Take the cube root of both sides.
cube root 1/8 = 1/2

Cube root of (r1)^3 = r1
Cube root of (r2)^3 = r2

Step Five
Answer
$\frac{r_1}{r_2} = \frac{1}{2}$ Answer <<<<<<<

8 0

3 years ago

Find the coordinates of the point (a,b). a=?

Xelga [282]

Answer:

(cos π/4, sin π/4) or approx. (0.707, 0.707)

Step-by-step explanation:

The length of the blue ray is 1. That's the same for any ray drawn inside the circle.

Then a = cos π/4 and b = sin π/4.

The cartesian coordinates of the point (a, b) are

(cos π/4, sin π/4) or approx. (0.707, 0.707)

8 0

2 years ago

Each batch of muffins needs 2.5 cups of flour. david wants to make 2.5 batches of muffins. how many cups of flour does david nee

PilotLPTM [1.2K]

6.25 cups of flour 2.5*2.5 = 6.25

6 0

3 years ago