The points (2,-20) and (r,-5) lie on a line with slope 5/4. Find the missing coordinate r.

Answer:

+1

Step-by-step explanation:

So, you just first multiply the denominator to whole then add to the numerator after that the denominator will remain the same and the numerator will be the remainder

The least number of blocks with which he can do is 168 blocks.

What is the least Common Multiple (LCM)?

The Least Common Multiple (LCM) is a method for determining the smallest common multiple of two or more numbers. A common multiple is a number that is the product of two or more numbers.

Least number of blocks = LCM of 6cm, 7cm, and 8cm.

Multiples of 6 - 6,12,18,24,30,36,42,48,54,60

Multiples of 7 - 7,14,21,28,35,42,49,56,63,70

Multiples of 8 - 8,16,24,32,40,48,56,64,72,80

Common Multiples - 168

Least Common Multiple - 168

So the least number of blocks with which he can do is 168 blocks.

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Answer: x = 3

Step-by-step explanation:

5x+-3=-18

5x + -3 + 3 = -18 + 3 (add 3 to both sides)

5x = 15

5x/5 = 15/5

x = 3

Answer: x =3

Step-by-step explanation:

The answer to the expositional growing account will be $14838.

What is exponential function?

The mathematical formula for an exponential function is f (x) = ax, where x is a variable and a constant known as the base of the function, which must be greater than zero. The transcendental number, or e, which is roughly equivalent to 2.71828, is the most frequently used exponential function base.

Let suppose in the xth year, the value of the money is 6300* [tex]a^{4}[/tex]

⇒8200 = 6300* [tex]a^{4}[/tex]

⇒a = 1.068

So 6300 *[tex]a^{13}[/tex]

= $14838

Hence the value of the account will be $14838.

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Probability of getting tails are most likely to appear for the 1990 additional tosses will be 1/32.

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution. The probability is calculated by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.

Here,

The coins gets tail always,

=(1/2)^5

=1/32

For the 1990 additional tosses, there is a 1/32 chance that a tail will appear.

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the answers are option 2 4 6

Answer:

B,D,F

Step-by-step explanation:

Answer:

[tex]20[/tex]

Explanation:

[tex]5[/tex] ÷ [tex]\frac{1}{4}[/tex]

To change the division sign into a multiplication sign, you need to change (1/4) into its reciprocal.

[tex]5[/tex] × [tex]\frac{4}{1}[/tex]

[tex]5[/tex] × [tex]4[/tex]

[tex]20[/tex]

We are given the following:

[tex]8-3(1-x)=2(x+1)-3[/tex]

To solve for x, simplify both sides of the equation, then isolate the variable.

Hope this helps!

There are in total 17 Male Turkey in the farm

What is Division?

Division is one of the four basic operations of arithmetic, which are the methods through which numbers are joined to form new numbers. Addition, subtraction, and multiplication are the other operations.

Solution:

Here we will use the concept of basic division

Since, there is 1 male turkey for every 17 female turkey

Therefore, it can be said that

Total Male Turkeys for 289 Female Turkey = 289 / 17

Total Male Turkey = 17

Yes we can express the number of female turkey in exponent as [tex]17^{2}[/tex]

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Answer:

= 197.5 [tex]cm^{2}[/tex]

Step-by-step explanation:

1) first split the shape into two shapes (a rectangle and trapezium)

2. find the area of the rectangle

 10 x 6 = 60 [tex]cm^{2}[/tex]

3. find the missing sides for the trapezium and substitute it into the formula for finding the area of trapezium

       ([tex]\frac{a+b}{2}[/tex])xh

  a=10

  b= 15

  h = 11 (17-6=11)

( [tex]\frac{10+5}{2}[/tex])x 11

this gives you 137.5 [tex]cm^{2}[/tex]

4. add both the areas together

  60 [tex]cm^{2}[/tex] + 137.5 [tex]cm^{2}[/tex]  = 197.5 [tex]cm^{2}[/tex]

5 so your final answer is 197.5 [tex]cm^{2}[/tex]

The linear equation to represent the cost of C of an NFL ticket y years after 2006 is y=2.54x+62.38.

Given that the average ticket price for a national football league game was $62. 38 and the cost has increased an average of $2. 54 per year.

we want to write a linear equation to represent the cost c of an nfl ticket y years after 2006.

A linear equation is an equation in which the greatest power of a variable is always 1. Also called the 1 degree equation. The equation can be written in the form y=mx+b.

Let us assume x represent the duration or stipulated years after the year 2006, y represent the amount of ticket that is sold and m represent the average increase in the price every year.

y=mx+c

y=2.54x+62.38

Hence, a linear equation to represent the cost c of an nfl ticket y years after 2006 is y=2.54x+62.38 when the average ticket price for a national football league game was $62. 38 and the cost has increased an average of $2. 54 per year.

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The zeros of the function R(x) will be 0 , 4 , -4 , -5.

The equation given to us is

[tex]x^{4}[/tex] + 5[tex]x^{3}[/tex] - 16[tex]x^{2}[/tex] - 80x = 0

Take x common

x( [tex]x^{3}[/tex] + 5[tex]x^{2}[/tex] - 16x - 80 ) = 0

from here we get one factor of x as 0.

Now

[tex]x^{3}[/tex] + 5[tex]x^{2}[/tex] - 16x - 80 = 0

It is given that  x + 5) is a factor of this equation. so we will divide the equation by (x + 5).

After dividing it by (x + 5) we get [tex]x^{2}[/tex] - 16

Which can be written as [tex]x^{2}[/tex] - [tex]4^{2}[/tex] = (x + 4) (x - 4)

From here we get rest of the two roots of the equation.

Therefore four zeros of the function will be 0 , 4 , -4 , -5.

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Answer:

D)  0, 4, -4, -5

Step-by-step explanation:

Given polynomial:

[tex]R(x)=x^4+5x^3-16x^2-80x[/tex]

Given (x + 5) is a factor of R(x), use long division to find the other factor:

[tex]\large \begin{array}{r}x^3-16x\phantom{)}\\x+5{\overline{\smash{\big)}\,x^4+5x^3-16x^2-80x\phantom{)}}}\\{-~\phantom{(}\underline{(x^4+5x^3)\phantom{-b))))))))))))}}\\-16x^2-80x\phantom{)}\\-~\phantom{()}\underline{(-16x^2-80x)\phantom{}}\\0\phantom{)}\\\end{array}[/tex]

Therefore:

[tex]R(x)=(x^3-16x)(x+5)[/tex]

Factor out x from the first factor:

[tex]R(x)=x(x^2-16)(x+5)[/tex]

Apply the Difference of Two Square Formula: a²-b²=(a-b)(a+b)

[tex]\begin{aligned}\implies x^2-16&=x^2-4^2\\&=(x-4)(x+4)\end{aligned}[/tex]

Therefore:

[tex]R(x)=x(x-4)(x+4)(x+5)[/tex]

Zero Product Property

If a ⋅ b = 0 then either a = 0 or b = 0 (or both).

To find the zeros of the function, apply the zero-product property by setting each factor equal to zero and solving for x:

[tex]\implies x=0[/tex]

[tex]\implies x-4=0 \implies x=4[/tex]

[tex]\implies x+4=0 \implies x=-4[/tex]

[tex]\implies x+5=0 \implies x=-5[/tex]

Therefore, the zeros of the function R(x) are:

The equation that represents the situation is c + 4.99 = 14.84, and the store owner increased the original price of the toy by adding $5.

What is the percent increase?

The formula for percentage increase is the ratio of the increased value to the original value multiplied by 100. It is expressed as a percentage. If the price of something rises, the percentage rises as well.

a) c + 4.99 = 14.84.

c = 14.84.- 4.99

c = 9.84

(b) 14.84 - 9.84 = 5

(c) Store owner increased the original price of the toy by adding $5.

hence, the equation that represents the situation is c + 4.99 = 14.84, and the store owner increased the original price of the toy by adding $5.

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Answer: Distance can't be negative, so it must be positive. That's the first thing you need to know. To find the distance, you take the difference between the two points.

1 - (-3) = 4

(second point on the number line) - (first point on the number line)

After 1st Translation  (x,y) → (x-6.y) = X(-4,4), Y(0,0), Z(1,2)

After 2nd Translation (x, y) → (x+2y+7) = X(4,11), Y(8,7), Z(9,9)

What is translation?

And image After Composition means resultant image after you plot the translated points.

So, Given Vertices are X(2,4), Y(6,0), Z(7,2)

Then after 1st Translation = X(-4,4), Y(0,0), Z(1,2)

After 2nd Translation = X(4,11), Y(8,7), Z(9,9)

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As per the reference document attached thereby along with the question statement, if (∠SOX = 160°), [∠1 = (x + 14)], and [∠2 = (3x – 10)], then the measure of ∠2 in degrees will be 113°

As per the reference document attached thereby along with the question statement, (∠SOX = 160°), and it's constituent angles

[∠1 = ∠SOW = (x + 14)], and [∠2 = ∠WOX = (3x – 10)],

And we are required to determine the measure of ∠2.

Since, [(∠SOW + ∠WOX) = ∠SOX],

Therefore, [{(x + 14) + (3x – 10)} = 160°]

Or, [{(x + 3x) + (14 - 10)} = 160°]

Or, [(4x - 4) = 160°]

Or, [4x = (160 + 4)°]

Or, (4x = 164°)

Or, [x = (164/4)°]

Or, (x = 41°)

Or, [(3x – 10) = {(3 * 41) - 10}°]

Or, [∠2 = (123 - 10)°]

Or, (∠2 = 113°)

That is, if (∠SOX = 160°), and it's constituent angles (∠1) and (∠2) measure as [∠1 = ∠SOW = (x + 14)], and [∠2 = ∠WOX = (3x – 10)], then the measure of ∠2 in degrees will be 113°

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Answer: h = 19, c = 132

Step-by-step explanation:

Oooh! This is a toughie!

Okay, first of all, there's a straight line on top. A straight line is 180 degrees.

This means we have to subtract 48 from 180.

180 - 48 = 132.

This means both a and b are 132.

F is equal to 151.

180 - 151 = e

e = 29

d = 29

g = 29

132 + 29 = 161

180 - 161 = 19

h = 19

19 + 29 = 48

180 - 48 = 132

c = 132

Sorry that this answer isn't so clear...

(BTW, it'd make me happy if you gave me the brainliest reward)

Answer:

Step-by-step explanation:

h(x) = 3x - 5

h(-2) = 3*(-2) - 5 = -6 -5 = - 11

Answer:

:)......................

Bao's age is 12 years old.

Integers are defined as the collection of Whole Numbers and the negative values of Natural Numbers make up an integer. Fractional numbers are not included in integers. Integers are represented by the symbol Z.

Let's call Bao's age "x".

Since their ages are consecutive even integers, the next sibling's age would be x + 2, the next one x + 4, and the last one x + 6.

The sum of all their ages is x + (x + 2) + (x + 4) + (x + 6) = 4x + 12 = 60.

Solving for x, we get 4x + 12 = 60, and subtracting 12 from both sides gives 4x = 48.

Dividing both sides by 4 gives x = 12.

Therefore, Bao's age is 12 years old.

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The measurement of angle is 147°

Equation is combination of mathematical operation , numbers and variables.

Solving the equation involves finding the unknown variable by the given equation . The condition that two expression are equal is only satisfied by value of that unknown variable.

Solving given equation to find x ,

=> (15x+12)°=(19x–24)°

Bring x terms together and changing their signs,

=> 15x - 19x = -24 - 12

=> -4x = -36

=> x = -36 / -4

Cancelling the negative signs and dividing,

=> x = 9

Substituting the value of x

Angle = 15(9) + 12

=> 135 + 12

=> 147°

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The mathematical instructions that define lines, curves, text, ovals, and other geometric shapes is vector graphics

The vector graphics is defined as the computer graphics that the  visual images are created directly from geometric shapes. It is defined on the Cartesian plane such as lines, curves, texts, ovals and other geometric shapes

The vector artworks are the artwork that created by vector graphics. There will be lines curves, text, oval and other geometric shapes according to the mathematical expression

Therefore, the vector graphics is the mathematical instruction that defines the geometric shapes

Hence, the mathematical instructions that define lines, curves, text, ovals, and other geometric shapes is vector graphics

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Nathaniel’s travel 16.5 miles with one gallon gas

Arithmetic generalization in which letters representing numbers are combined using arithmetic rules. Algebra is the branch of mathematics that aids in the representation of problems or situations using mathematical expressions.

Given that Nathaniel's car used 2/3 of a gallon to travel 11 miles

We have to find how many miles can the car goon one gallon of gas

2/3 gallons = 11 miles

1 gallon = ?

= (11x 1)/(2/3)

= 33/2

= 16.5 miles

Therefore Nathaniel travel 16.5 miles with one gallon gas

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Answer:

Step-by-step explanation:

The equation is V = √(20L).

Solve this equation for L and the result is L = V2/20

Since V = 57 mph, putting this value into the equation, L = (57)2/20 = 162.45 ft should be his skid marks

The triangles ΔABC and ΔLMN are congruent triangles by the SAS postulate. And the value of the variable 'x' will be 6 cm.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

In triangles ΔABC and ΔLMN, we have

AB = LM = 8 cm

∠B = ∠M = 90°

AC = LN = 12 cm

The triangles ΔABC and ΔLMN are congruent triangles by the SAS postulate.

The triangles ΔFGH and ΔLMN are similar triangles, then we have

x / 12 = 4 / 8

x / 12 = 1 / 2

x = 12 / 2

x = 6 cm

The triangles ΔABC and ΔLMN are congruent triangles by the SAS postulate. And the value of the variable 'x' will be 6 cm.

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The correct answer is the pilot should expect the visibility required to be reported in lieu of the published RVR as a ground visibility of 1/2SM.

       Visibility is half of a statute mile (SM). Persuading visibility is described in statute miles and fractions. The visibility having 15+ is encrypted as 15SM. Lower visibilities which are half or less of the visibility are detailed in the remarks section. Low visibility procedures (LVP) refer to procedures related to an aerodrome for the cause of ensuring safe operations in the course of lower-than-standard value and low visibility take-offs.

                Reduced visibility operations are operations that take place at an aerodrome during the visibility is lower than Runway Visual Range which is 2600 RVR and 1/2 statute mile sm down to and including 1200 RVR and 1/4 statute mile sm.

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The maximum possible number of elements in B = 68.

A subset B of the set of integers from 1 to 100, inclusive, has the property that no two elements of B sum to 137.

Maximum possible number of elements in B =?

Set of integers = {1, 2, 3, 4, 5......100}

If we divide 137/2 = 68.5

If we add 68+69 = 137

So, we cannot consider number 69 in the subset, it gives us the total numbers we can consider are till 68.

Set B = {1,2,3,4,5,6,7....60,61,68}.

The maximum possible number of elements in B = 68.

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The largest possible total area of the six pens is 33750 square feet.

Given:

An ostrich farmer wants to enclose a rectangular area and then divide it into six pens with fencing parallel to one side of the rectangle (see the figure below). there are 900 feet of fencing available to complete the job.

Let L and W  be the length and width.

900 = L + 6W

L =  900 -6W

Area = A = LW = (900-6W)W = 900W -6W^2

A' = 990-12W = 0

W = 900/12 =  75 feet wide

L = 900 -6W = 900 - 6(75)

L = 900 - 450 = 450 feet.

Maximum area = 450 * 75

= 33750 square feet.

Therefore the largest possible total area of the six pens is 33750 square feet.

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The equation that can be used to find the time to complete the job can be expressed as w (x) = 1.5x, so option B is correct.

A formula known as an equation uses the equals sign to denote the equality of two expressions.

Given:

The time taken to complete the work = 6 hrs,

The no of worker = 4,

The no of workers = The time taken by four workers / no of workers,

w (x) = 6 /4x

w (x) = 1.5x

Therefore, the equation that can be used to find the time to complete the job can be expressed as w (x) = 1.5x.

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The value of the expression is 698.

What is an expression?

A mathematical expression is a phrase containing a minimum of two numbers or variables and a minimum of one mathematical operation. It is possible to multiply, divide, add, or subtract in math. An expression has the following structure: (Mathematical Operator, Number/Variable, Expression)

The order of operations is a rule that specifies the right procedure to follow when evaluating a mathematical equation. Using the acronym PEMDAS, we can memorize this order: parentheses, exponents, multiplication, and division (left to right), addition and subtraction (from left to right).

Given expression 3*(14+c²) +2d

3*(14+12²)+2*112

= 42+3*12²+224

= 42+3*144+224

= 42+432+224

= 698

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