Let x = one of the side lengths of the base.
Then area of the base = x². So volume of the base = x²h.
That gives us x²h = 20. Solving for x, we get x = √(20/h²).
Glass is needed to cover the sides of the aquarium. There are 4 sides and 1 base. Area of a side = hx = h√(20/h²). Area of the base = x² = 20/h. Total area of glass = h√(20/h²) + 20/h. So the cost for glass = 8 * [h√(20/h²) + 20/h] = 8 h√(20/h²) + 160/h.
Metal frame is needed along the edges of the sides. There are 4 edges on the top, 4 edges in the bottom and 4 vertical edges. So the total length of metal frame = 4x + 4x + 4h = 8 √(20/h²) + 4h. Then the cost for metal frame = 7 * [8 √(20/h²) + 4h] = 56 √(20/h²) + 28h.
So the total cost = 8 h√(20/h²) + 160/h + 56 √(20/h²) + 28h
Answer:
-5 ,0,5
Step-by-step explanation:
x^2 ≤ 25
Take the square root of each side
sqrt(x^2) ≤ sqrt(25)
sqrt (25) is +5 and -5
x ≤ 5 and x ≥ -5
-5 ≤x ≤ 5
The choices are -5 ,0,5
Answer:
4
Step-by-step explanation:
The principal square root is the positive square root
sqrt(16) = ±4
taking the positive square root
4
Answer:
B. There is one real, double root
Step-by-step explanation:
For ax² + bx + c = 0, the discriminant is b² − 4ac.
If the discriminant is positive and a perfect square, there are two real, rational roots.
If the discriminant is positive and not a perfect square, there are two real, irrational roots.
If the discriminant is 0, there is one real, double root.
If the discriminant is negative, there are two complex roots.
Here, a = 64, b = -16, and c = 1.
b² − 4ac
= (-16)² − 4(64)(1)
= 0
The discriminant is 0. Therefore, there is one real, double root
Answer:
Step-by-step explanation:
12) The amount of the initial deposit is $1000
13) the slope is (y2 - y1)/(x2 - x1)
Slope = (4000 - 3000)/(6 - 4)
Slope = 1000/2 = 500
The y intercept is the value of y when x is zero. Therefore,
y intercept = 1000.
14) The equation of a straight line represented in the slope intercept form is
y = mx + c
Where
m represents slope
c represents intercept
Therefore the equation is
y = 500x + 1000
15) The slope represents rate of change in the amount saved with respect to time in months.
