In a boaster club,1/8 of the 128 members are men how many male member are in the club

Y>= -5x + 8 what is m?

Sonbull [250]

Answer:

The slope = -5

Step-by-step explanation:

y ≥ -5x + 8

Look at the problem as y = -5x + 8 and compare to the slope intercept form. The slope = -5

6 0

3 years ago

What are the dimensions of a box that would hold 250 cubic centimeters of juice and have a minimum surface area

Elis [28]

The dimensions of a box that have the minium surface area for a given Volume is such that it is a cube. This is the three dimensions are equal:

V = x*y*z , x=y=z => V = x^3, that will let you solve for x,

x = ∛(V) = ∛(250cm^3) = 6.30 cm.

Answer: 6.30 cm * 6.30cm * 6.30cm. This is a cube of side 6.30cm.

The demonstration of that the shape the minimize the volume of a box is cubic (all the dimensions equal) corresponds to a higher level (multivariable calculus).

I guess it is not the intention of the problem that you prove or even know how to prove it (unless you are taking an advanced course).

Nevertheless, the way to do it is starting by stating the equations for surface and apply two variable derivation to optimize (minimize) the surface.

You do not need to follow with next part if you do not need to understand how to show that the cube is the shape that minimize the surface.

If you call x, y, z the three dimensions, the surface is:

S = 2xy + 2xz + 2yz (two faces xy, two faces xz and two faces yz).

Now use the Volumen formula to eliminate one variable, let's say z:

V = x*y*z => z = V /(x*y)

=> S = 2xy + 2x [V/(xy)[ + 2y[V/(xy)] = 2xy + 2V/y + 2V/x

Now find dS, which needs the use of partial derivatives. It drives to:

dS = [2y - 2V/(x^2)] dx + [2x - 2V/(y^2) ] dy = 0

By the properties of the total diferentiation you have that:

2y - 2V/(x^2) = 0 and 2x - 2V/(y^2) = 0

2y - 2V/(x^2) = 0 => V = y*x^2

2x - 2V/(y^2) = 0 => V = x*y^2

=> y*x^2 = x*y^2 => y*x^2 - x*y^2 = xy (x - y) = 0 => x = y

Now that you have shown that x = y.

You can rewrite the equation for S and derive it again:

S = 2xy + 2V/y + 2V/x, x = y => S = 2x^2 + 2V/x + 2V/x = 2x^2 + 4V/x

Now find S'

S' = 4x - 4V/(x^2) = 0 => V/(x^2) = x => V =x^3.

Which is the proof that the box is cubic.

3 0

3 years ago

Solve 2x2 + 4x = 30 using the Quadratic Formula.

Maslowich

Answer:

$x=-5, 3$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Standard Form: ax² + bx + c = 0
Quadratic Formula: $x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}$

Step-by-step explanation:

Step 1: Define equation

2x² + 4x = 30

Step 2: Rewrite into Standard Form

2x² + 4x - 30 = 0

Step 3: Define variables

a = 2

b = 4

c = -30

Step 4: Solve for x

Substitute: $x=\frac{-4\pm\sqrt{4^2-4(2)(-30)} }{2(2)}$
Evaluate: $x=\frac{-4\pm\sqrt{16-4(2)(-30)} }{2(2)}$
Multiply: $x=\frac{-4\pm\sqrt{16+240} }4}$
Add: $x=\frac{-4\pm\sqrt{256} }4}$
Evaluate: $x=\frac{-4\pm16 }4}$
Factor: $x=\frac{4(-1\pm4)}4}$
Divide: $x=(-1\pm4)$
Add/Subtract: $x=-5, 3$

And we have our final answer!

6 0

2 years ago

Determine the area of the composite figure to the nearest whole number. A) 132 ft2 Eliminate B) 176 ft2 C) 184 ft2 D) 216 ft2

Sergeeva-Olga [200]

Answer:

B) 176 ft²

Step-by-step explanation:

The picture below is the attachment for the complete question. The figure has 3 halves of a circle and a square . The area of the figure is the sum of their area.

Area of a square

area = L²

where

L = length

L = 9 ft

area = 9²

area = 81 ft²

Area of the 3 semi circles

area of a single semi circle = πr²/2

For 3 semi circle = πr²/2 + πr²/2 + πr²/2 or 3 (πr²/2)

r = 9/2 = 4.5

area of a single semi circle = (3.14 × 4.5²)/2

area of a single semi circle = (3.14 × 20.25 ) /2

area of a single semi circle = 63.585 /2

area of a single semi circle = 31.7925

Area for 3 semi circles = 31.7925 × 3 = 95.3775 ft²

Area of the composite figure = 95.3775 ft² + 81 ft² = 176.3775 ft

Area of the composite figure ≈ 176 ft²

7 0

3 years ago

Suppose a simple random sample of size n is obtained from a population whose distribution is skewed right. as the sample size nâ

Fiesta28 [93]

Answer:
The distribution of the sampled means becomes normally distributed (bell shaped) as the sample size increases.

Explanation:
According to the Central Limit Theorem, if the mean values for increasing sample sizes are obtained, the distribution of sample means will be normally distributed, even if the individual samples do not have normal distributions.
Typically, sample sizes of 30 or greater are recommended.

4 0

3 years ago