Answer:
Step-by-step explanation:
If air resistance is neglected, the energy is constant. That means that in every point in the trajectory the energy is the same.
At the point of height h, all the energy is potential and velocity is zero (no kinetic energy)
At point of height h/4, some of the potential energy has transformed in kinetic energy and the velocity is no longer zero. But we know the total amount of energy is the same as the maximum height point.
With that information, we can calculate the velocity v:
A) The formula for surface area of a sphere is A = 4*PI*r^2
using 3.14 for PI:
Surface area for Earth = 4 * 3.14 x 3960^2 = 196,960,896 miles^2
Surface area of the moon: 4 * 3.14 * 1080^2 = 14,649,984 miles^2
B)Divide the Surface of the Earth by the moon:
196,960,896 / 14,649,984 = 13.44
The Earths surface is 13.4 times larger than the moon.
C) Multiply the surface of the Earth by 70%:
196,960,896 * 0.70 = 137,872,627.2 million square miles of water.
After modelling the mathematical statement and solving its equivalent mathematical relation, we get x = -36.
<h3>What is Equation Modelling?</h3>
Equation modelling is the process of writing a given mathematical statement in the form of a numeric mathematical expression taking into considerations the operations, constants and other variables.
Given in the question is a number such that twice the difference of a number and 9 is equal to three times the sum of the number and 6.
Assume that the number is x. Now, we will model the equation and solve for x. According to the question, the following mathematical relation represents the statement-
2(x - 9) = 3(x + 6)
2x - 18 = 3x + 18
x = - 36
Therefore, the number is -36.
To solve more questions on Equation modelling, visit the link below-
brainly.com/question/13536824
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$62 total food amount
6% tax
20% of original cost of food for tip
62x0.06= 3.72
62x0.2= 12.4
62+12.4+3.72= $78.12
the total cost of the group is $78.12
Answer:
56
Step-by-step explanation:
for this problem you would first figure out what 1/8 of 64 is. 1/8 of 64 is 8.so we do 7*8 to get 56 so 56 of the 64 houses have been sold