Answer:
a) -3 gallons per hour
b) y = -3x +14
Step-by-step explanation:
Rate of change is computed by dividing the amount of change by the interval over which it occurred.
<h3>a)</h3>
Here the amount of gas decreased from 14 to 2 gallons, so a decrease of 14-2 = 12 gallons. That occurred over a 4-hour period, so the rate of change is (-12 gallons)/(4 hours) = -3 gallons/hour.
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<h3>b)</h3>
The initial amount was 14 gallons, so the equation for the line describing remaining gas will be ...
y = -3x +14 . . . . gas in the tank after x hours
The answer is 35 because if you do 30 over 100 it will be 0.3 so then you are going to take the 10.50 and divide that to 0.3 and that's how you get your answer your answer is going to be 35
Answer:
38 mm³
Step-by-step explanation:
Calculate the volume of the cylinder and of the cone separately.
1. Volume of cylinder
The formula for the volume V of a cylinder is
V = πr²h
Data:
D = 4 mm
h = 2 mm
Calculations:
a. Calculate the radius
D = 2r
r = D/2 = 4/2 = 2 mm
b. Calculate the volume
V = 3.14 × 2² × 2 = 25.12 mm³
2. Volume of cone
The volume for the volume (V) of a cone is
V = ⅓πr²h
V = ⅓ × 3.14 × 2² × 3
V = 18.85 mm³
3. Calculate the total volume
V = 25.12 mm³ + 12.57 mm³ = 38 mm³
Answer:
Brady will have earned $75 in interest.
Step-by-step explanation:
The interest formula is i = p*r*t, where p is the principal amount, r is the interest rate as a decimal fraction, and t is the number of years.
Here, i = $600(0.025)(5 yr) = $75.
Brady will have earned $75 in interest.
