Answer:
The volume of soil in Darren's planter box is 56 feet³
Step-by-step explanation:
The formula of the volume of a rectangular box is V = l × w × h, where l is its length , w is its width and h is its height
∵ Darren's planter box is seven feet long and four feet wide
∴ l = 7 feet
∴ w = 4 feet
<em>The volume of the soil is equal to the volume of the box using the height of the soil, because the soil takes the shape of the box, so they have the same dimensions of the base</em>
∵ Darren fills the planter box with soil to a height of two feet
∴ h = 2 feet
- Substitute the values of l, w and h in the formula of the volume
∵ V = 7 × 4 × 2
∴ V = 56 feet³
The volume of soil in Darren's planter box is 56 feet³
Answer:
288J
Step-by-step explanation:
recall the formula for kinetic energy
KE = (1/2) mv²
where m is the mass (= 4kg) and v is the velocity(=12 m/s)
hence
KE = (1/2) (4)(12)² = 288J
The correct answer to this problem is
C=3
Y=3
Answer:
x = 2 cm
y = 2 cm
A(max) = 4 cm²
Step-by-step explanation: See Annex
The right isosceles triangle has two 45° angles and the right angle.
tan 45° = 1 = x / 4 - y or x = 4 - y y = 4 - x
A(r) = x* y
Area of the rectangle as a function of x
A(x) = x * ( 4 - x ) A(x) = 4*x - x²
Tacking derivatives on both sides of the equation:
A´(x) = 4 - 2*x A´(x) = 0 4 - 2*x = 0
2*x = 4
x = 2 cm
And y = 4 - 2 = 2 cm
The rectangle of maximum area result to be a square of side 2 cm
A(max) = 2*2 = 4 cm²
To find out if A(x) has a maximum in the point x = 2
We get the second derivative
A´´(x) = -2 A´´(x) < 0 then A(x) has a maximum at x = 2
1999 price = 11900
it depreciates 13%

year 2000 cost = 11900 - 1547 = 10353
it depreciates 13%

year 2001 cost = 10353 - 1345.89 = 9007.11
it depreciates 13%

year 2002 cost = 9007.11 - 1170.92 = 7836.19
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