A water park water ride pump 8000 gallon of water every 2 minute, How many gallon of water would the ride pump in 100 minute

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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Answer:

35

Step-by-step explanation:

I did 1/5 into a decimal which is 0.2 and then i did 7/0.2 because 7 miles and 0.2 miles they stop and then you divide them and get 35

Answer: 60

Step-by-step explanation:

first multiply like terms,

-4 x -5 = 20 [Multiplying two negative signs equal to positive]

3 x 20= 60

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 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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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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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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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!

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 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 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:

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

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 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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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

Answer:

Step-by-step explanation:

h(x) = 3x - 5

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

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]

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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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 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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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 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 cost of a swim club membership for a year is $170. The price consists of 12 monthly payments of $20 and a $20 registration fee. From equation, the mth payment is $12.5 per month.

Finding the value m of each monthly payment can be done using the equation 12m+20=170.

To find the amount(m), solve the equation 12m+20=170.

12m=150

M = 150/12

M= $12.5

Consequently, each monthly payment will cost 12.5 in total.

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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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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)

The quadrilateral is a parallelogram so it is Yes.

If a quadrilateral has a pair of parallel opposite sides, it’s a special polygon called parallelogram .The properties of a parallelogram are as follows:

The opposite sides are parallel and equal

The opposite angles are equal

The consecutive or adjacent angles are supplementary

If any one of the angles is a right angle, then all the other angles will be at right angle.

The quadrilateral is a parallelogram since the adjacent interior angles 75° and 105° are supplementary meaning they sum up to 180°

In conclusion, yes, the figure is a parallelogram.

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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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The point (2,3) translated 2 units to the right is (4,3)

Rotated 90 degrees clockwise around the origin becomes (3,-4)

Then (2,3) is translated 2 units to the right and rotated 90 degrees counterclockwise to become (3,-2). (5,-2)

One of two numbers and/or letters indicating a point's precise location on a map or graph: Zoom in on the map after entering the GPS coordinates.

In two dimensions, points are represented as coordinates (x, y) with respect to the x- and y-axes. An object's x-coordinate, also referred to as the abscissa, is its perpendicular distance from the y-axis as measured along the x-axis.

The domain refers to the first coordinate, which is typically the x-coordinate, and the range refers to the second coordinate, which is typically the y-coordinate.

You do the opposite to determine a point's coordinates in a coordinate system. Starting at the point, move vertically up or down until you reach the x-axis.

The complete question is : The point (2, 3), translated 2 units to the right, becomes (___, ____), then rotated

90° clockwise around the origin it becomes (___, ____). The point (2, 3) rotated

90° clockwise around the origin becomes (____, ____), then translated 2 units to the right it becomes (___,____), which is not the same.

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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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The slope of the line that goes through these two points is -19/13.

Given points:

(–6, −3), (–19, 16)

slope:

Slope is the steepness of a line as it moves from LEFT to RIGHT. Slope is the ratio of the rise, the vertical change, to the run, the horizontal change of a line. The slope of a line is always constant (it never changes) no matter what 2 points on the line you choose.

slope m = y2-y1 / x2-x1

= 16-(-3) / -19-(-6)

= 16+3/-19+6

= 19/-13

= -19/13

Therefore The slope of the line that goes through these two points is -19/13.

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