A equals to 2.
<u>Step-by-step explanation:</u>
y = mx + c is the equation of the line and m is the slope and c is the y- intercept.
In the given equation, y = ax , a is the slope.
Slope A can be found by means of the formula, and using the points (2,4) and (-2-4)
slope, A = (y₂ -y₁) / (x₂-x₁)
Plugin the values as,
A = (-4-4) / (-2-2) = (-8) / (-4) = 2
So the value of A is 2.
Answer:
Y = 21 [Small number].
X = 32 [Big number].
Step-by-step explanation:
Answer:
The box should have base 16ft by 16ft and height 8ft Therefore,dimensions are 16 ft by 16 ft by 8 ft
Step-by-step explanation:
We were given the volume of the tank as, 2048 cubic feet.
Form minimum weight, the surface area must be minimum.
Let the height be h and the lengths be x
the volume will be: V=x²h then substitute the value of volume, we have
2048=hx²
hence
h=2048/x²
Since the amount of material used is directly proportional to the surface area, then the material needs to be minimized by minimizing the surface area.
The surface area of the box described is
A=x²+4xh
Then substitute h into the Area equation we have
A= x² + 4x(2048/x²)
A= x² + 8192/x
We want to minimize
A
dA/dx = -8192/x² + 2 x= 0 for max or min
when dA/dx=0
dA/dx= 2x-8192/x²=0
2x=8192/x²
Hence
2x³=8192
x³=4096
x=₃√(4096)
X=16ft
Then h=2048/x²
h=2048/16²
h=8ft
The box should have base 16ft by 16ft and height 8ft
Hence the dimensions are 16 ft by 16 ft by 8 ft
For this case we have the following number written in scientific notation:
We know that this number is greater than zero because it is a positive number.
Therefore, the following statements are true:
p ∈ (-∞, ∞)
n must be between 1 and 10
n ∈ [1, 10]
Answer:
The following statements are correct about the number written in scientific notation:
p ∈ (-∞, ∞)
n ∈ [1, 10]
We know Bianca delivers 100 newspapers every 2 days.
So we must find out how many papers she delivers in 1 day.
100 ÷ 2 = 50
Bianca delivers 50 papers in 1 day.
Now we must multiply that by 7.
50 × 7 = 350
We get 350 papers per week.
The answer is 350.
