Answer:
The value of is .
Step-by-step explanation:
We know that the position function is given by
Velocity is defined as the rate of change of position. Therefore,
So, the velocity function is
When a body reaches a vertical velocity of zero, this is the maximum height of the body and then gravity will take over and accelerate the object downward. Thus,
We know that the ball bearing reaches its maximum height 21 seconds after being launched (t = 21 s).
So, the value of is .
Step-by-step explanation:
To find the radius of the sphere we must convert the inches to centimeters
Using the conversation
1 inch = 2.54 cm
If 1 inch = 2.54 cm
4.17 inch = 2.54 × 4.17 = 10.59 cm
<h2>a).</h2>
We can find the radius using the formula
From the question
diameter = 10.59 cm
So we have
<h3>radius = 5.30 cm</h3>
<h2>b).</h2>
Surface area of a sphere= 4πr²
where
r is the radius
Surface area = 4(5.30)²π
= 112.36π
= 352.989
We have the answer as
<h3>Surface area = 353 cm²</h3>
<h2>c).</h2>
Volume of a sphere is given by
r = 5.30
The volume of the sphere is
= 623.61451
We have the answer as
<h2>Volume = 623.6 cm³</h2>
Hope this helps you
7. 20
8. 680
9. 700
10. 4,000
11. 106,000
12. 5,800
44,000
38,720
34,073.60
29,984.77
26,386.60
Answer:
x = 1
Step-by-step explanation:
Given
12x + 3 = 15x ( subtract 12x from both sides )
3 = 3x ( divide both sides by 3 )
1 = x