Perimeter of a square = 20 feet = 4a
=>4a = 20
=>a = 20/4
=>a = 5 feet
Area of a square = a²
=>a² = 5²
=>a = 25 square feet
Add all the new budget amounts:
510 + 254 + 295 + 51 + 0 + 100 + 100+ 0 + 100 = 1410
Her monthly total is 1410, which is less than her income of 1700
1700 - 1410 = 290
She has $290 extra each month.
So she can divide that amount by 2 to put an equal amount in each blank category, or add what ever amount less than that into each one.
Answer:
Step-by-step explanation:
1 ) Given that
For a non homogeneous part 
, we assume the particular solution is
2 ) Given that
For a non homogeneous part 
, we assume the particular solution is
3 ) Given that
y′′ + 4y′ + 20y = −3sin(2x)
For a non homogeneous part −3sin(2x) , we assume the particular solution is
4 ) Given that
y′′ − 2y′ − 15y = 3xcos(2x)
For a non homogeneous part 3xcos(2x) , we assume the particular solution is
No, the trailer cannot hold the weight of the bricks. It is beyond the 900kg capacity of the trailer. The total weight of the bricks is 1,013.77 kilograms. The total weight was derived from getting the volume of the brick (0.051m x 0.102m x 0.203m), then multiplying the volume to the density of each brick (1.056 x 10^3m^3 x 1920kg/m^3). The weight of each brick is 2.03kg. Lastly, multiply the total number of bricks to the weight of each brick to get the total weight.
Answer:
C. 270 grams
Step-by-step explanation:
-This is an exponential growth function which can be expressed using the formula:
Where:
is the size at time t.
is the initial size
is the growth rate 
is the time
Given the size at t=2 and at t=0, we substitute in the growth function to solve for r:
We use this calculated rate to determine the population at t=6
Hence, the bacteria's size at t=6 is 270 grams
