Answer:
12.5in.
x=.5t+11
Step-by-step explanation:
First of all, create the equation so you can solve both questions at once. We know that Sydney had eleven inches of snow on her lawn, and it doesn't dissapear, so it starts with x=11. Then every hour she gets .5 inches per hour, and the amount of hours is t, so that will translate to .5t. that makes the equation x=.5t+11. To find out how much she would have in three hours, substitute 3 for t, which which goes like this: x=.5(3)+11
x=1.5+11
x=12.5
Answer:
Step-by-step explanation:
Given
-- initial
Required
The exponential equation
The exponential equation is
Where
We used minus, because the rate decreases..
So, we have:
So:
Hence:
The midpoint would be -8 because it is 2 away from both ends.
Answer:
2πrh unit^2.
Step-by-step explanation:
The lateral area is the circumference of the base * the height = 2πrh.
P = 4x + 2y
additional info.
<span>x+2y <u><</u> 10
y <u><</u> 2
x <u>></u> 0
y <u>></u> 0
y can only be 0, 1, and 2.
x + 2(0) <u><</u> 10 = x <u><</u> 10
x + 2(1) <u><</u> 10 = x + 3 <u><</u> 10 = x <u><</u> 10 - 3 = x <u><</u> 7
x + 2(2) <u><</u> 10 = x + 4 <u><</u> 10 = x < 10 - 4 = x <u><</u> 6
x = 10 ; y = 0 : P = 4(10) + 2(0) = 40 + 0 = 40
x = 7 ; y = 1 : P = 4(7) + 2(1) = 28 + 2 = 30
x = 6 ; y = 2 : P = 4(6) + 2(2) = 24 + 4 = 28
The maximum value of P is 40. Where x is 10 and y is 0.</span>
