Answer:
0.08 pounds per pint.
Step-by-step explanation:
Given: The density of a certain material is such that it weighs 10 ounces per gallon.
We are to express this density in pounds per pint.
1 gallon ⇒ 10 ounces
1 pound = 16 ounces
How many pounds? = 10 ounces.
Cross-multiplying gives;
pounds
1 gallon = 8 pints
The density in pounds per pint is;
0.625 pounds ÷ 8 pints = 0.078125 pounds per pint = 0.08 pounds per pint (answer rounded up to the nearest hundredth).
A) We want to know when h=10 so
10=-16t^2+40t+3
16t^2-40t+7=0
Using the quadratic formula:
t=(40±√1152)/32
t≈0.189 and 2.311 seconds
So it is at 10 ft twice, about 2/10 of a second when it is rising and at 2 3/10 of a second when it is falling...
b.
The maximum height of the ball is when velocity is equal to zero, or dh/dt=0
dh/dt=-32t+40, dh/dt=0 when 32t=40, t=40/32=5/4=1.25 seconds
h(1.25)=28ft
So the maximum height of the ball occurs after 1.25 seconds and reaches a height of 28 feet.
Answer:
$150012.84 or $150013 rounded
The growth factor is 1.07
Step-by-step explanation:
First create the equation:
y=1.07x+150,000
Then substitute:
y=1.07(12)+150,000
Calculate:
y=150012.84
well, we'll first off put the point AC in component form by simply doing a subtraction of C - A, multiply that by the fraction 2/3, and that result will get added to point A, to get point B.
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1/4 = .25 or 25%
a(postcard stamps) = .25(percentage of postcard stamps) * 900(total of stamps)
900 * .25 = 225
They sold 225 postcard stamps
To check:
225 * 4 = 900
