The volume of the ethanol inside the tube can be obtained by dividing the mass of ethanol by the density. The volume is equal to 15.03 ml or 15.03 cm3. The volume of the tube is equal to pi d^2/4 * h where h is 15 cm. From this formula, the diameter is equal to 1.13 cm.
Answer:
y = (4/3)x - 50
Step-by-step explanation:
Step 1 :
Identify the independent and dependent variables.
The independent variable (x) is the square footage of floor space.
The dependent variable (y) is the monthly rent.
Step 2 :
Write the information given in the problem as ordered pairs.
The rent for 600 square feet of floor space is $750 :
(600, 750)
The rent for 900 square feet of floor space is $1150 :
(900, 1150)
Step 3 :
Find the slope.
m = (y₂ - y₁) / (x₂ - x₁)
Substitute (600, 750) for (x₁, y₁) and (900, 1150) for (x₂, y₂).
m = (1150 - 750) / (900 - 600)
m = 400 / 300
m = 4/3
Step 4 :
Find the y-intercept.
Use the slope 4/3 and one of the ordered pairs (600, 750).
Slope-intercept form :
y = mx + b
Plug m = 4/3, x = 600 and y = 750.
750 = (4/3)(600) + b
750 = (4)(200) + b
750 = 800 + b
-50 = b
Step 5 :
Substitute the slope and y-intercept.
Slope-intercept form
y = mx + b
Plug m = 4/3 and b = -50
y = (4/3)x + (-50)
y = (4/3)x - 50
Answer:
5040 ways
Step-by-step explanation:
That is 7 books.
So the number of ways is factorial 7 , written 7!.
= 7*6*5*4*3*2*1
= 5040 ways
Divide both sides by 2³. Remember, when dividing exponent terms with the same base, you subtract the exponents.
You're then left with
=
Therefore, n = 6
Answer:
Is there a picture to the question?
Step-by-step explanation:
