Answer:
a) 2/2 + 2/2 = 2
b) 2/2 + 1/2 = 3/2
c) 2/2 + 0/2 = 1
d) 0/2 + 0/2 = 0
Step-by-step explanation:
a) 2 points : 2/2 + 2/2 = 2
if henry wins both games than we get probability =2
b) 1 1/2 or 3/2 : 2/2 + 1/2 = 3/2
if henry wins one game and tie another game we get probability =3/2
c) 1 point: 2/2 + 0/2 = 1
if henry wins one game and loose second game, we get probability 1
d) 0 points: 0/2 + 0/2 = 0
if henry loose both games we get probability 0
Answer:
Step-by-step explanation:
Let the length of one side of the square base be x
Let the height of the box by y
Volume of the box V = x²y
Since the box is opened at the top, the total surface area S = x² + 2xy + 2xy
S = x² + 4xy
Given
S = 7500sq in.
Substitute into the formula for calculating the total surface area
7500 = x² + 4xy
Make y the subject of the formula;
7500 - x² = 4xy
y = (7500-x²)/4x
Since V = x²y
V = x² (7500-x²)/4x
V = x(7500-x²)/4
V = 1/4(7500x-x³)
For us to maximize the volume, then dV/dx = 0
dV/dx = 1/4(7500-3x²)
1/4(7500-3x²) = 0
(7500-3x²) = 0
7500 = 3x²
x² = 7500/3
x² = 2500
x = √2500
x = 50in
Since y = (7500-x²)/4x
y = 7500-2500/4(50)
y = 5000/200
y = 25in
Hence the dimensions of the box that will maximize its volume is 50in by 50in by 25in.
The Volume of the box V = 50²*25
V = 2500*25
V= 62,500in³
Hence the maximum volume is 62,500in³
The answer is 0.019 i think
Answer:
The correct answer is (-2,-5).
Step-by-step explanation:
Ordered pairs in the first quadrant: x>0 and y>0.
Ordered pairs in the second quadrant: x<0 and y>0.
Ordered pairs in the third quadrant: x<0 and y<0.
Ordered pairs in the fourth quadrant: x>0 and y<0.
If City Park is shown on (-3,-4), then in the third quadrant.
Jade's house is in the same quadrant as the city park. Which of the following could be the coordinates of Jade's house?
(2, 5)
(−2, 5)
(2, −5)
(−2, −5)
The sign isn’t switched. [ ie, -7 < 161 = 7 > -161 ]
Explanation :
When multiplying or dividing by a negative the sign flips.
