The volume of the sphere is 900 cm³
Step-by-step explanation:
- Step 1: Given the diameter of the ball = 12 cm. Find radius.
Radius = diameter/2 = 12/2 = 6cm
- Use the formula for volume of a sphere to find the volume.
Volume of the ball = 4/3 πr³
= 4/3 × 3.14 × (6)³
= 904.32 cm³ ≈ 900 cm³ (nearest hundredth)
Answer:
50 Minutes.
Step-by-step explanation:
The function c approximates the total number of calls made after m minutes since the start of the phone tree.

We need to find the number of minutes after which the total number of calls will 363.
Substitute c(m)=363 in the given function.

Multiply 3/2 both sides.


Add 1 on both sides.


On comparing both sides we get

Multiply both sides by 10.

Therefore, the total number of calls will 363 after 50 minutes since the start of the phone tree.
Answer:
x=135°
Step-by-step explanation:
WZ is 180 degrees. Simply subtract 48 from 180.
180-45=135.
Hope this helps!
If not, I am sorry.
Answer:
I'm not 100% sure I'm right but I think x = -1
because it says "f(x)" and then it says"Find f(-1)" so that is why I think x = -1
Answer:
1. x=2
2. x= 0.33
Step-by-step explanation:
1.So to start off you have a coefficient for 2 so you have to find what 2 to the power of 2 is =4 so then you have your new problem 4x+5=13 next you need to get 4x by itself so
-5 -5
then you have 4x=8. you divide by 4 on both sides
4. 4
so then you get x=2
2.So same here find what 3 to the power of 2 is =9
New equation 4x-1=9x+4x-4. Then combine like terms on the right you cant do it on the left because that is a separate part and those dont merge like terms so
9x+4x = 13x
new equation. 4x-1=13x-4
next subtract 4x on both sides
13x-4x=9x
new equation. -1=9x-4
next add 4 to both sides
-1+4= 3
new equation. 3=9x
so then divide 9 on both sides
3÷9= 0.33
x= 0.33
Hope this made sense and helps