Distribute -3 to parenthasees
-3(r+9)=-3r-27
now we have
-3r-27=-32
add 27 to both sides
-3r+27-27=27-32
-3r+0=-5
-3r=-5
divide both sides by -3
r=-5/-3
r=5/3
Answer:
FALSE
Step-by-step explanation:
In order to be consistent with the system of unit we should decide if we are going to work with the CGS system <em>(centimeter-gram-second)</em> or the MKS system <em>(meter-kilogram-second).
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If we decide to work with the CGS system, the equation of motion would be
8,000x ′′ + 2x = 0; x(0) = 3, x ′ (0) = 0
since 1 Kg = 1,000 g
If we decide to work with the MKS system, the equation of motion would be
8x ′′ + 2x = 0; x(0) = 0.03, x ′ (0) = 0
given that 1 mt = 100 cm
Answer:
A, C
Step-by-step explanation:
A. the distance traveled on a trip and the travel time YES
B. the distance remaining on a trip and the travel time NO
C. the amount of money spent and the the number of shirts bought YES
D. the height of an eighth-grade student and the time to complete a puzzle NO
E. the amount of money owed on a computer and the time making payments NO (the amount of money owed drops with each payment made)
Answer:
The cost function that represents this scenario is c(x) = 2 + 0.50x .
Option (b) is correct .
Step-by-step explanation:
As given
Laura rents a movie for a flat fee of $2.00 plus an additional $0.50 for each night she keeps the movie.
if x equals the number of nights Laura has the movie.
Than the cost function that represents this scenario .
c(x) = Flat fee + Cost for x equals the number of nights Laura has the movie.
c(x) = 2 + x × 0.50
c(x) = 2 + 0.50x
Therefore the cost function that represents this scenario is c (x) = 2 + 0.50x .
Option (b) is correct .
Pressure and Volume are inversely related as:

We can also write it as:

R is the constant of proportionality. Using the first row of given table, we can write:
Thus, the value of R, the universal gas constant is 8.31