Answer and Step-by-step explanation:
First, solve for the volume of the sphere, then solve for the height of the cone using the volume of the sphere (which is said to be equal to the volume of the cone) and the radius given.
<u>Volume formula of Sphere</u>
V = 
<u>Substitute 1 in for r</u>
= Volume
<u>Finding the Height of a Cone</u>
Volume formula for Cone: 
<u />
<u>Solve for </u><u><em>h</em></u>
Multiply both sides by 3, then divide by pi and r^2.

<u>Plug in the volume and the radius.</u>

<u>Simplify</u>

h ≈ 4
<u>4 is approximately the height.</u>
<u></u>
<u></u>
<u><em>#TeamTrees #PAW (Plant And Water)</em></u>
The Exact Square Root Is: 4.58257569496
Estimate Is: 5
Answer:
56
Step-by-step explanation:
Givens
Given Ratio = 2/5
Given mass on earth = 140
Ratio
2/5 = x/140 or
0.4 = x / 140
Solution
2/5 = x/140 Cross multiply
5x = 2*140 Combine
5x = 280 Divide by 5
x = 280/5
x = 56
You could also do this by combining the left side of the original proportion into 0.4
0.4 = x / 140 Multiply both sides by 140
0.4*140 = x Combine the left
56 = x
9514 1404 393
Answer:
(dN)/(dt) = (0.4)/(1200)N(1200-N) -50
142 fish
Step-by-step explanation:
A) The differential equation is modified by adding a -50 fish per year constant term:
(dN)/(dt) = (0.4)/(1200)N(1200-N) -50
__
B) The steady-state value of the fish population will be when N reaches the value that makes dN/dt = 0.
(0.4/1200)(N)(1200-N) -50 = 0
N(N-1200) = -(50)(1200)/0.4) . . . . rewrite so N^2 has a positive coefficient
N^2 -1200N + 600^2 = -150,000 +600^2 . . . . complete the square
(N -600)^2 = 210,000 . . . . . simplify
N = 600 + √210,000 ≈ 1058
This steady-state number of fish is ...
1200 - 1058 = 142 . . . . below the original carrying capacity
Answer: The value of John's silver collection changes at a faster rate than the value of John's baseball card collection.
V = 500(1.05)2t + 600(0.95)t
Step-by-step explanation: