Separate 25 into two parts so that one part is 13 less than the other part.

NEED HELP QUICKLY!!

The solution set for the given equations is x = 4.

What is a set?

A set contains elements or members that can be mathematical objects of any kind, including numbers, symbols, points in space, lines, other geometric shapes, variables, or even other sets. A set is a mathematical model for a collection of various things.

Here,

we put the value of x in the given equation and justify our answer

when we x=4, we get

5x−5=15

5(4) - 5 = 15

20 - 5 = 15

15 = 15

Hence, the solution set for the given equations is x = 4.

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The total number of athletes, the football club has is 180.

Given, In the football club, 36 footballers are Latvian, while there are 4 times the footballers of other nationalities.

as, footballers that are Latvian = 36

now, footballers of other nationalities = 4×36

footballers of other nationalities = 144

so the total number of footballers = 144 + 36 = 180

Therefore, the total number of athletes, the football club has is 180.

Hence, the total number of athletes, the football club has is 180.

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As function f(x) is not completely right i assume it to be like f(x)= 10x-200.

Acc. to which the answer is  -350.

What is a function?

A function from a set X to a set Y allocates exactly one element of Y to each element of X.

Main Body:

f(x)= 10x-200

f(4)= 10*4-200

    = 40-200

    =-160

g(x)= 25[tex]x^{2}[/tex]+90

g(2)= 25*(2)² +90

     = 25*4+90

     =190

So, f(4)-g(2) = -160-190

     = -350

Therefore the answer is -350.

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The area of the quadrilateral is determined as follows if the diagonal and the length of the perpendiculars from the vertices are known: The formula for calculating the area of a quadrilateral is (12) diagonal length the sum of the lengths of the perpendiculars drawn from the other two vertices.

A polygon with four sides, four angles, and four vertices is called a quadrilateral. The Latin words Quadri, which means four, and latus, which means side, were combined to create the English word quadrilateral. A quadrilateral is shown in the above image as an example. quadrilateral pieces.

Quadrilaterals with four congruent sides, four right angles, and two sets of parallel sides are called squares. Quadrilaterals having two sets of parallel sides are known as parallelograms. All squares are parallelograms because squares must have quadrilaterals with two sets of parallel sides.

Four sides and four angles make up a quadrilateral. Any convex polygon's exterior angles (i.e., no interior angle is less than 180 degrees) sum up to 360 degrees ( 4 right angles).

In the quadrilateral, each point's coordinates change as follows:

(x, y) → (-x, -y)

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The values of a, b and c from the given polynomial are a = -1 , b = 2 and, c= -35.

We are given the expression:-

[tex]x^2+2x-35[/tex]

We know that, the general form of a quadratic expression is :-

[tex]ax^2+bx+c[/tex]

We can rewrite the given expression as:-

[tex]-1x^2+2x+(-35)[/tex]

Comparing it with the given equation, we get:-

a = -1 , b = 2 , c= -35

Polynomial

A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division (No division operation by a variable).

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Answer for No.2
Answer: 1/4

Step-by-step explanation:

Hits = 12

Misses = 60-12 = 48

Ratio of hits to misses = 12/48 = ¼

So the answer is 1/4.

The answer is

f(x) = (x - 1) 2(x +1)(x - 3 ).

Given equation

f(x) = (x − 2)2(x + 1)(x − 3)

f(x) = (x + 2)2(x − 1)(x + 3)

f(x) = (x + 2)2(x + 1)(x + 3)

f(x) = (x − 2)2(x − 1)(x − 3)

Factored form is a product of stayed and linear elements.

by checking of the red line cross the x-axis.it will give you the zero.

it passes at -1, touches at 1, and crosses again at 3.

This implies that the zeroes are -1, 1 and 3.

The factors 2(x+1), (x - 3), and (x - 1) must be evaluated.

Therefore the answer is

f(x) = (x - 1) 2(x +1)(x - 3 ).

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Yes. The residuals' distribution pattern resembles a haphazard dispersion around the horizontal line at 0.

The horizontal plot in this instance comprises points that are unstructured and randomly dispersed around the horizontal mean line.

These are also points below the mean above the mean. This shows that some points in the distribution of data points are above and some are below the least square line, which crosses through the distribution.

The least-square line model would not produce adequate results if, in a residual plot, the majority of the data points are located roughly in a straight line or on either side of the horizontal line.

A residual plot must have data points randomly distributed on both sides of the horizontal mean line in order to produce good results.

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COMPLETE QUESTION:

if the least-squares line provides a reasonable model for the data, the pattern of points in the plot will seem random and unstructured about the horizontal line at 0. is this the case for the residual plot?

She needs to complete 20 laps for a total distance of 0.5 kilometer.

1 kilometers = 1000 meters

0.5 kilometers = 500 meters

Length of swimming pool = 25 meters

That means, she covers 25 meters in 1 lap.

Laps to cover 500 meters = 500/25

                                            = 20

Hence, she needs to do 20 laps.

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1. 3x + 9 = -4.5x + 20 ; This is true for one value of x.

2. 9(x + 3) = 9x + 12 ; This is true for no values of x.

3. 4(2x + 3) = 12 + 8x ; True for any values of x.

Given,

The equations;

1. 3x + 9 = -4.5x + 20

2. 9(x + 3) = 9x + 12

3. 4(2x + 3) = 12 + 8x

We have to find whether each equation is true for all, one or no values of x.

Here,

1. 3x + 9 = -4.5x + 20

Solve for x;

3x + 4.5x = 20 - 9

7.5x = 11

x = 11/7.5

x = 1.47

Then,

This is true for one value of x.

2. 9(x + 3) = 9x + 12

Solve using distributive property;

9x + 27 = 9x + 12

9x - 9x = 12 - 27

0 = -15

This is true for no values of x.

3. 4(2x + 3) = 12 + 8x

Use distributive property and solve;

8x + 12 = 12 + 8x

8x - 8x = 12 - 12

0 = 0

True for any values of x.

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Answer:

[tex]^4\sqrt{2}[/tex]

Answer: Option C

Step-by-step explanation: just took the test.

The area of the triangle is A. 17.5yd².

Using this formula to find the area

Area = 1/2 ( b × h)

Where:

b = base = 5

h = Height = 7

Hence,

Area = 1/2 (5 ×7)

Area = 1/2 (35)

Area = 1× 35/2

Area = 35/2

Area = 17.5yd²

Therefore the correct option is A.

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The polynomial function of least degree having only real coefficient is f(x) = [tex]x^3 -10x^2 +34x-40[/tex]

Given,

In the question:

A leading coefficient of 1, and zeros of 4 and 3 + i.

To find the polynomial function of least degree having only real coefficients.

Now, According to the question;

The function has 4 and 3 + i .

As, i's roots

So, 3 - i is also its root a leading coefficient of 1 .

So, The function of polynomial is :

f(x) = (x - 4) [tex][(x - 3)^2 + 1][/tex]

To solve the function;

f(x) = [tex]x^3 -10x^2 +34x-40[/tex]

Hence, The polynomial function of least degree having only real coefficient is f(x) = [tex]x^3 -10x^2 +34x-40[/tex]

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a. The slope of the line that is parallel to y = 5/8x + 9 is: 5/8.

b. The slope of the line that is perpendicular to y = 5/8x + 9 is: -8/5.

When two lines are parallel to each other, the lines will have the same slope value (m). However, if both lines are perpendicular to each other, they would have slope values that are negative reciprocals, meaning the product of their slope would be -1.

a. Given the equation, y = 5/8x + 9, the slope (m) of the line is 5/8.

Therefore, it implies that the line that is parallel to y = 5/8x + 9 will have a slope that is the same as 5/8.

Thus, the slope of the parallel line to the equation, y = 5/8x + 9, is: 5/8.

b. The negative reciprocal of 5/8 is -8/5.

Therefore, the slope of the line that is perpendicular to y = 5/8x + 9 would be: -8/5.

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The height of the tower is 87.4870 feet

The angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.

The body of the calculation is contained in the attached file.

In conclusion, the height of the tower to the nearest ten thousandth is 87.4870 feet

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The quadratic function will be f(x) = 2[tex]x^{2}[/tex] + 4x + 15

General equation of quadratic is

f(x) = a[tex]x^{2}[/tex] + bx + c

and Standard form is

f(x) =a [tex](x-h)^{2}[/tex] + k

where h , k are coordinates of vertex

and x , y represent some point on the graph.

By replacing f(x) with y in standard equation we get

y = a[tex](x-h)^{2}[/tex] + k

Put value of x , y , h , k from the graph.

h = -2

k = 7

x = 0

y = 9

9 = a (4) + 7

a = 2

Now put value of a in standard equation

f(x) = 2 [tex](x + 2)^{2}[/tex] + 7

f(x) = 2[tex]x^{2}[/tex] + 4x + 15

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The expected value of the number of albino panthers is 5

The standard deviation of the number of albino panthers is 2.09

Given that albino panther is born once every 8 years, probability p, of one albino to be born in 8 years is 1/8

Expected value=n*p, where n is 40 years, and p=1/8

                        =40*1/8

                        =5 albino panthers

Hence, the expected value is 5 albino panthers

Standard deviation=(Expected value*(1-p))^1/2

                               =(5*(1-1/8))^1/2

                               =4.375^1/2

                               =2.09

Hence, standard deviation is 2.09

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The rules for the rotation and translation for the rectangle RSTU is:

Rotation: (x,y) ↔ (-y,x)

Translation : (x,y) ↔ (x+k , y)

Given,

we have rectangle R'S'T'U' which is the image of the rectangle RSTU under a rotation 90° counterclockwise about the origin followed by a translation.

we are asked to determine the rule of rotation and translation.

Rotation :

Our point A(x,y) becomes A' when a point is rotated 90 degrees counterclockwise about the origin (-y,x).

so the rule is:

Rotation: (x,y) ↔ (-y,x)

Translation:

When the shape is moved towards the right by k units, then replace x with x + k.

let's check:

R(-6,3) ↔ 90° counterclockwise rotation ↔ (-3,-6) ↔ translation↔R'(-3+9,-6) → R'(6,-6)

S(-4,7) ↔ 90° counterclockwise rotation ↔ (-7,-4) ↔ translation↔S'(-7+9,-4) → R'(2,-4)

Hence we get the required rules for sequences of congruence transformations.

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Answer:

3.46

Step-by-step explanation:

[tex]\sqrt{21-9}[/tex]

[tex]\sqrt{12}[/tex]

3.46

Hopes this helps please mark brainliest

An artist connects stained glass pieces with lead strips and cut the strips so that FH = 22 in and JG = 11 in.

What is a rectangle?

A plane shape, as opposed to a square, with four straight sides and four right angles, particularly one with uneven neighboring sides.

Here, we have

FH ≅ GH

FH = EG = 22in

If diagonals bisect each other then, an artist connects stained glass pieces with lead strips

1/2(EG) = JG

1/2 (22) = JG

11 = JG

Hence, an artist connects stained glass pieces with lead strips and cut the strips so that FH = 22 in and JG = 11 in.  

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Answer:

Step-by-step explanation:

Let's break down the problem:

Quotient =  result obtained by dividing one quantity by another

So its division of x (a number implying variable) by 6

Then it says equal to 2 so we can piece together an equation like this

x/6 = 2

Then we use algebra to solve it

6(x/6)= (2)6

x = 12

So 12 is the unknown number

Both  2/3m=-4 and -4m=24 have a solution of 1/6 and are equivalent

Algebraic expressions are described as expressions that contains terms, variables, coefficients, constants and factors.

They are also known to be made up of some arithmetic operations, such as;

We have the equations;

2/3m=4 and -4m=24

Let's solve for m in the first equation

12m = 2

Divide both side by coefficient of m

m = 2/ 12  = 1/ 6

For the second equation

-4m = 24

Divide both sides by - 4

m = 24/-4

m = 6/ -1

Take inverse

m = 1/6

Hence, the equations are equivalent

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An equation of slope-intercept form describing this relationship. Use ordered pairs of the form​ the equation, y = 640x + 4760

Since there were 4760 electric vehicles in 1998, when x=0 (indicating 0 years have passed since 1998), y=4760. There were 1,920 more electric vehicles on the road after three years. 1920 / 3 = 640 is the average rate of change every year. Between 1998 and 2001, there were 640 more automobiles every year.Our slope measures m=640. By dividing the change in y by 4760, or 1920, we can determine the slope.The y-intercept is just the starting point, or x=0. At this point, x=0. The y-intercept is shown here: (0, 4760). Equation of slope intercept: y = 640x + 4760 where b=4760.

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A graph of the given mathematical expression (x = -6) is shown in the image attached below.

In Mathematics, a number line can be defined as a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.

This ultimately implies that, a number line primarily increases in numerical value towards the right and decreases in numerical value towards the left.

In this scenario, a number line would be used to graph the given mathematical expression because it only contains one (1) variable.

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In the initial list, there were 4 integers.

We have the following system if the mean is m, x is the list's initial sum, and n is the number of integers in the list:

m = x/n , m + 2 = (x + 15) / (n + 1) and m + 1 = (x + 16) / (n + 2).

The initial equation is x = mn.

Therefore, changing x in the other two equations:

m + 2 = (mn + 15) / (n + 1) ..............(1)

m + 1 = (mn + 16) / (n + 2)...............(2)

Based on equation (1):

(m + 2)(n + 1) =  mn + 15

mn + m + 2n + 2 = mn + 15

m + 2n + 2  = 15

m + 2n = 13

m = 13 - 2n.

Now change m in equation (2) to:

13 - 2n + 1 = ( n(13 - 2n) + 16) / (n + 2)

14 - 2n = (13n - 2n^2 + 16) / (n + 2)   Through-multiplication by n + 2:

(14 - 2n)(n + 2) =  13n - 2n^2 + 16

14n + 28 - 2n^2 - 4n =  13n - 2n^2 + 16

10n + 28 = 13n + 16

12 = 3n

n = 4.

Hence, there were 4 integers in the original list.

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The coordinates of the vertices of triangle ΔABC, A(0, -1), B(6, 5), and C(-4, 3), indicates that the triangle ΔABCD is a right triangle with all sides of different length.

A right triangle is a triangle that has an interior angle of 90°, and therefore, it has two sides known as the legs that are perpendicular.

The lengths of the sides of the triangle ΔABC can be found using the Pythagorean formula for finding the distance, d, between two points, (x₁, y₁) and (x₂, y₂) on the coordinate plane as follows;

d² = (x₂ - x₁)² + (y₂ - y₁)²

The vertices of the triangle ΔABC are; A(0, -1), B(6, 5), and C(-4, 3), which gives;

[tex]\overline{AB}^2[/tex] = (6 - 0)²+ (5 - (-1))² = 72, AB = 6·√2

[tex]\overline{AC}^2[/tex] = (-4 - 0)² + (3 - (-1))² = 32, AC = 4·√2

[tex]\overline{BC}^2[/tex] = (-4 - 6)² + (3 - 5)² = 104, BC = 2·√(26)

72 + 32 = 104

Therefore; [tex]\overline{AB}^2[/tex] + [tex]\overline{AC}^2[/tex] = [tex]\overline{BC}^2[/tex]

ΔABC is a right triangle

The slopes of the equation of the lines of the sides of the triangle are;

Slope of side AB = (5 - (-1))/(6 - 0) = 1

Slope of side BC = (3 - 5)/(-4 - 6) = 0.2

Slope of side AC = (3 - (-1))/(-4 - 0) = -1

Therefore;

[tex]\overline{AB}[/tex] ⊥ [tex]\overline{AC}[/tex]

Which gives;

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The expression can be expanded as 125/64

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations.

To solve this problem, we need to evaluate the expression given;

For this, we can find the cube of the numerator and cube of the denominator.

(5/4)³ = 125/64

The solution to the problem is 125/64

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The ratio of dogs to birds at the second adoption center that are equivalent is 2:12.

Ratio demonstrates how many times one number can fit into another number. They contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).

At the first adoption center, the ratio of dogs to birds was 4:24. The ratio will be:

= 4 / 24

= 1/6

= 1:6

Since the ratio of dogs to birds at the second adoption center is equivalent, this can be 2 to 12. This will be:

= 2/12.

= 1/6

= 1:6

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Total cost includes initial charge for printer set up and material cost.

Average cost per T-shirt is

Average cost to print 25 T-shirts

Average cost to print 100 T-shirts

The average cost 4.25 + 35/x depends on the number of T-shirts printed.

The larger the x, the smaller is 35/x. It will be closer to but greater than $4.25.

The probability that the sum of the 40 values is greater than 7,450 is 0.0239

Define Normal Distribution.

        Z  = (x - μ ) / (σ / √n )

We have given following info,

mean μ = 180

Standard deviation σ = 20

n = 40

σ(mean of x) = σ / √ n

                     = 20 / √40

                      = 3.16

Sample average  (mean of x) = 7450 / 40

                           = 186.25

P(x > 186.25) = 1 - P(x < 186.25)

                     = 1 - P( (x - μ ) / σ(mean of x) ) < ( [186.25 - 180] / 3.16) )

                     = 1 - P( Z < 1.98)

Using Normal distribution table,

                     = 1 - 0.9761

P(x > 186.25) = 0.0239

Therefore,the probability that the sum of the 40 values is greater than 7,450 is 0.0239

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