If 3/7 of people attended a conference are male. how many females attended the conference if the total attendance is 210

b²-4ac is the discriminant (D)!

you use it when you have a second degree function and want to find the x. If:

D<0 -> no x that we can find

D=0 -> 1 answer for x

D>0 -> 2 answers for x

when your D is = or > 0 then you use these formulas to find the x:

x1= (-b-VD)/2a

x2= (-b+VD)/2a

example1:

f(x)=2x²+3x+4=0

D= b²-4ac

= 3²-4×2×4

=9- 32

=-23

-> no answers for x

example2:

f(x)=2x²+5x+2=0

D= 4²-4×2×2

= 25-16

=9

x1= (-b-VD)/2a

= (-5-3)/4

= -8/4

=-2

x2= (-b+VD)/2a

= (-5+3)/4

=-2/4

=-1/2

it would be 45 minutes

Answer:

0.17 (rounded)

Step-by-step explanation:

There's only one way a 1 can appear on a number cube out of 6 possible sides. Thus, the theoretical probability of the number cube showing a 1 is 1/6, or 0.17 rounded.

Answer:

A = l x b

Step-by-step explanation:

Area = length x breath

So find the area and length and work it out by dividing area by length.

Answer:

[tex]\frac{3}{22}[/tex]

Step-by-step explanation:

the bar above 36 means that the digits 36 are being repeated

we require 2 equations with the repeating digits placed after the decimal point.

let x = 0.13636.. ( multiply both sides by 10 and 1000 )

10x = 1.3636... (1)

1000x = 136.3636... (2)

subtract (1) from (2) thus eliminating the repeating digits

990x = 135 ( divide both sides by 990 )

x = [tex]\frac{135}{990}[/tex] = [tex]\frac{3}{22}[/tex] ← in simplest form

Answer:

  2,592,100 m³

Step-by-step explanation:

The volume of the pyramid can be found by using the given dimensions in the formula for the volume of a square pyramid.

__

  V = 1/3s²h

where s is the side length of the square base, and h is the height.

Using the given dimensions, s = 230 m, h = 147 m, we find the volume to be ...

  V = 1/3(230 m)²(147 m) = 2,592,100 m³

The volume of the pyramid is 2,592,100 cubic meters.

Answer:

 x = -1

y = 4

Step-by-step explanation:

Solving system of linear equations by elimination method.

    8x +  3y = 4 ---------------(I)

    2x  + y = 2 --------------(II)

Multiply the second equation by (-3) and then add them.Thus y will be eliminated and we will obtain the value of 'x'.

       (I)                8x  +  3y = 4

     (II)*(-3)         -6x - 3y = -6   {Now add}

                           2x         = -2

                                     x = -2/2

                           [tex]\sf \boxed{\bf x = -1}[/tex]

Plugin x = (-1) in any one of the equations. Here I have chosen equation (II)

2*(-1) + y = 2

    -2 + y  = 2

           y = 2 + 2

            [tex]\sf \boxed{\bf y = 4}[/tex]

Answer:

x < -4

Step-by-step explanation:

-7x>28

7x<-28

x<-4

please give brainliest!

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Answer:

11 students are present and 9 are absent.

The statement which is true is the airplane reaches its maximum height of 81 feet in 12 seconds.

Since the height of the plane is a function given by a parabola, we need to know the equation of a parabola in vertex form

The equation of a parabola with vertex (h,k) is given by y = a(x - h) + k

Since the height (in feet) of the airplane as a function of time (in seconds after the timer was started) is given by the equation h(t) = −(t − 12) + 81

So, the statement which is true is the airplane reaches its maximum height of 81 feet in 12 seconds.

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Answer:

7/23

Step-by-step explanation:

Each answer is 1.5/23 less than the previous

17/46  - 1.5/23 =   17/46 - 3/46 = 14/46 = 7/23

a) The compound interest equation is [tex]C = 4250 \cdot 0.9675^{t}[/tex].

b) There is an approximate loss of $ 987.16.

c) The stock will take approximately 12.979 to decrease by half.

Compound interest model represents the gain of a deposit as a function of the number of periods and initial amount. The model is represented below:

[tex]C = C_{o}\cdot (1+r)^{t}[/tex]     (1)

Where:

Capital decreases in time when interest rate is a negative number. The equation that models the situation is [tex]C = 4250 \cdot 0.9675^{t}[/tex] and the current capital after eight years is:

C = 4250 · 0.9675⁸

C = 3262.84

That represents an approximate loss of $ 987.16.

And the number of periods required to decrease the capital by half is:

[tex]2125 = 4250 \cdot 0.9675^{t}[/tex]

[tex]0.5 = 0.9675^{t}[/tex]

㏒ 0.5 = t · log 0.9675

t ≈ 20.979

The stock will take approximately 12.979 to decrease by half.

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Answer:

14.5 Meters

Step-by-step explanation:

1 centimeter= 0.01 Meters

1450 cm x 0.01 =14.5

Answer:

Option A

Step-by-step explanation:

Remember the things.

In Q1

in Q2

in Q3

in Q4

Answer:

A. The x-coordinate is positive and the y-coordinate is positive.

Step-by-step explanation:

The Cartesian plane is divided into four regions by the x-axis and y-axis.

These regions are called "quadrants".

Quadrant I is the top right region, where x and y coordinates of points are positive.

From here, move in a counterclockwise direction.  

Therefore, Quadrant II is the top left region, where the x-coordinate is negative and the y-coordinate is positive.

Quadrant I → (x, y)

Quadrant II → (-x, y)

Quadrant III → (-x, -y)

Quadrant IV → (x, -y)

Answer:

5;   2n + 5 ≤ 15

6;   n/5 ≤ 15

7;   5n ≥ 15

Step-by-step explanation:

"a number" means a variable denoted "n"

"product" means to multiply

"quotient" means to divide

"The sum" means to add

"is at least" means greater than or equal to or  ≥

"is no greater than" means less than or equal to or ≤

"Is at most" means less than or equal to or ≤

Answer: [tex]18^{\circ}[/tex]

Step-by-step explanation:

In triangle RUV, angle RUV is a right angle (and thus measures 90 degrees), and angle RVU measures 72 degrees.

Since angles in a triangle add to 180 degrees, angle VRU measures

The perimeter and area of the equilateral, isosceles and right angled triangle are  16.2mm 12.6mm², 15.2in and 9.61in², 21.47yds and 16.81yds² respectively.

Note that:

The perimeter of an Equilateral triangle is expressed as P = 3a

The area of an Equilateral triangle is expressed as A = ((√3)/4)a²

Where a is the dimension of the side.

The perimeter of an Isosceles triangle is expressed as P = 2a + b

The area of an Isosceles triangle is expressed as A = (ah)/2

Where b is the slant height, a is the dimension of the base and h is the height.

The perimeter of a Right angled triangle is expressed as P = a + b + c

The area of a Right angled triangle is expressed as A = (ab)/2

Where a and b is the dimension of the two sides other than the hypotenuse and c is the hypotenuse.

For the Equilateral triangle.

Given that;

Perimeter P = 3a

P = 3 × 5.4mm

P = 16.2mm

Area A = ((√3)/4)(5.4mm)²

A = ((√3)/4)( 29.16mm² )

A = 12.6mm²

The Perimeter and Area of the Equilateral triangle are 16.2mm 12.6mm² respectively.

For the Isosceles triangle.

Given that;

Perimeter P = 2a + b

P = 2(b) + a

P = 2(5.9in) + 3.4in

P = 11.8in + 3.4in

P = 15.2in

The height h is the imaginary line drawn upward from the center of a.

First, we calculate the height using Pythagorean theorem

x² = y² + z²

Where x = b = 5.9in, y = a/2 = 3.4in/2 = 1.7in, and z = h

(5.9in)² = (1.7in)² + h²

34.81in² = 2.89in² + h²

h² = 34.81in² - 2.89in²

h² = 31.92in²

h = √31.92in²

h = 5.65in

Now, the area will be;

A = (ah)/2

A = (3.4in × 5.65in )/2

A = 19.21in²/2

A = 9.61in²

The Perimeter and Area of the Isosceles triangle are 15.2in and 9.61in² respectively.

For the Right angled triangle.

Given that;

Perimeter P = a + b + c

P = 8.2yds + 4.1yds + 9.17yds

P = 21.47yds

Area A = (ab)/2

A = ( 8.2yds × 4.1yds)/2

A = ( 33.62yds²)/2

A = 16.81yds²

The Perimeter and Area of the Right angled triangle are 21.47yds and 16.81yds² respectively.

Therefore, the perimeter and area of the equilateral, isosceles and right angled triangle are  16.2mm 12.6mm², 15.2in and 9.61in², 21.47yds and 16.81yds² respectively.

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Answer:

24.19

Step-by-step explanation:

[tex] \tan(x) = \frac{6.2}{13.8} \\ x = { \tan}^{1} \frac{6.2}{13.8} \\ x = 24.19320899[/tex]

or the value of x can be 24.20

The expression that is equivalent to √10 / (4√8) is given as √5 / 8

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the equation:

√10 / (4√8)

Simplifying:

= √10 / (4√(4 * 2))

= √10 / (8√2)

= √5 / 8

The expression that is equivalent to √10 / (4√8) is given as √5 / 8

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Answer:

[tex]\textsf{Length}=0.8x^2-0.7x+0.7\quad \sf units[/tex]

Step-by-step explanation:

Area of a rectangle = width × length

Therefore, to find the length of the rectangle, we need to divide the area by the width.

Using long division:

[tex]\large\begin{array}{r}0.8x^2-0.7x+0.7\phantom{)} \\x+0.5{\overline{\smash{\big)}\,0.8x^3-0.3x^2+0.35x+0.35\phantom{)}}}\\-~\phantom{(}\underline{(0.8x^3+0.4x^2)\phantom{-b))))))))))))))}}\\0-0.7x^2+0.35x+0.35\phantom{)}\\ \underline{-~\phantom{()}(-0.7x^2-0.35x)\phantom{-b)))))}}\\ 0.7x+0.35\phantom{)}\\\underline{-~\phantom{()}(0.7x-0.35)}\\ 0\phantom{)}\end{array}[/tex]

Therefore, the length of the rectangle is:

[tex]0.8x^2-0.7x+0.7[/tex]

Solve for t in terms of y :

[tex]y = t - 2 \implies t = y + 2[/tex]

Substitute this into the parametric equation for x :

[tex]x = (3t + 2)^2 \implies x = (3(y + 2) + 2)^2 \implies \boxed{x = (3y+8)^2}[/tex]

The wheat production of both farms will approach a stable amount as the years pass.

An exponential function is one that is steadily increasing or decreasing. We can see that in this case there is a positive sign indicating an increase.

Thus, from the graph, we can see that, the wheat production of both farms will approach a stable amount as the years pass.

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First of all we will understand the question!!

The question is saying that you are given a function and you have to find the value of x which will give the maximum profit... Lets solve it by finding the extrema using the vertex

[tex] \rm \: p(x) = - 5 {x}^{2} + 30x + 8[/tex]

[tex] \rm \: p(x) = { - 5x}^{2} + 30x + 8 \\ \rm \: a = - 5 \: and \: b \: = 30[/tex]

[tex] \rm \: x = \frac{30}{ 2 \times (- 5)} [/tex]

[tex] \rm \: x = 3[/tex]

Answer:

36

Step-by-step explanation:

[tex]\angle AOC[/tex] is made up of s + r, and since r is [tex]\frac{3}{5}[/tex] of [tex]\angle AOC[/tex] we know r must be the remaining [tex]\frac{2}{5}[/tex] of [tex]\angle AOC[/tex].

We can solve for [tex]\angle AOC[/tex] by using this equation:

[tex]\frac{2}{5}\angle AOC = 24\\(\frac{2}{5}\angle AOC)\frac{5}{2} = (24)\frac{5}{2}\\ \boxed{\angle AOC = 60}[/tex]

1. 2 fifths of  [tex]\angle AOC[/tex] is 24

2. multiply both sides by [tex]\frac{5}{2}[/tex] to isolate [tex]\angle AOC[/tex]

3. [tex]\angle AOC[/tex] is 60°

We can now solve for r

[tex]r = \frac{3}{5}\angle AOC\\r = \frac{3}{5}(60)\\\boxed{r = 36}[/tex]

1. the equation the problem gave us

2. substitute [tex]\angle AOC[/tex] for 60 (we solved for it before)

3. [tex]r[/tex] is 36°

Answer:

S=6a^2

S=6×2^2

S=6×4=24

The right answer is C

Answer:

24 units²

Explanation:

The surface area of cube is 6(side)²

Here given:

a = 2

The surface area:

= 6(2)^2

= 6(4)

= 24

Answer:

$122.88

Step-by-step explanation:

the phone decreases by 20% each year , that is

(100 - 20)% = 80% = [tex]\frac{80}{100}[/tex] = 0.8

the phone reduces by a factor of 0.8 each year , then after 4 years

value = $300 × [tex](0.8)^{4}[/tex] = $122.88