The Solution:
Given:
Each withdrawal by Brandon = $x
ATM charge per transaction = $2
Required:
To find an expression for Brandon's total withdrawal if he withdraws the same amount once a week for 7 weeks.
Step 1:
We shall find the total amount of each withdrawal, that is, the sum of the amount withdrawn and the ATM charge for the transaction.
Step 2:
Finding the required total amount, we have:
Therefore, the correct answers are: [options 2, 3, and 4]
First you must make sure all measurements are in the same value: You can choose either cm or km
Distance = 1,000,000 cm or 10 km
Radius = 50 cm or 0.0005 km
Distance/(2πR)
1,000,000/(2π*50)
1,000,000/314.059…….
Approx = 3183.1 Rotations
Answer:
(a) The unit of 70.5 is lbm/ft^3 and the unit of 8.27×10^-7 is in^2/lbf
(b) density = 0.1206g/cm^3
(c) rho = 0.1206exp(8.27×10^-7P)
Step-by-step explanation:
(a) The unit of 70.5 is the same as the unit of rho which is lbm/ft^3. The unit of 8.27×10^-7 is the inverse of the unit of P (lbf/in^2) because exp is found of a constant. Therefore, the unit of 8.27×10^-7 is in^2/lbf
(b) P = 9×10^6N/m^2
rho = 70.5exp(8.27×10^-7× 9×10^6) = 70.5exp7.443 = 70.5×1.71 = 120.6kg/m^3
rho = 120.6kg/m^3 × 1000g/1kg × 1m^3/10^6cm^3 = 0.1206g/cm^3
(c) Formula for rho (g/cm^3) as a function of P (N/m^2) is
rho = 0.1206exp(8.27×10^-7P) (the unit of 0.1206 is g/cm^3)
Answer: ( 12 , 9 )
Step-by-step explanation:
The formula for finding the coordinate of points when a line is externally divided in a given ratio is given by :
x = 
y = 
From the question
= 2
= ?
x = 4
= -1
= ?
y = 1
p = 1
q = 4
substituting the values into the formula ,we have
x =
4 = 
4 = 
+ 8 = 20
= 12
Also
y =
1 = 
- 4 = 5
= 9
Therefore , the end of the stencil is located at point ( 12 , 9 )
