Which function is shown in the graph below?

By knowing that water outflow is stable and the known geometry, the draining time of the rectangular tank is equal to a time of a minute and 36 seconds.

In this question we must determine the draining time of a tank whose dimensions are known and whose water outflow is stable. The draining time is equal to the volume of the rectangular tank divided by outflow rate:

V = (1.2 m) · (0.8 m) · (0.5 m)/(0.3 m³/min)

V = 1.6 min

By knowing that water outflow is stable and the known geometry, the draining time of the rectangular tank is equal to a time of a minute and 36 seconds.

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Answer:

its most likley graph 4

Step-by-step explanation:

hope this helps and if its wrong im very sorry

If points d and f are on side ab and points e ang g are on side ac then line segment de and fg are parallel.

Given There is a triangle abc.

Parallel lines are those lines that do not meet at any point. If we draw a triangle abc and plot points d and f are marked on side ab and points e and g are marked on side ac then the line segment fg is parallel to de because both the line segments are drawn from the points which are on the sides opposite to each other. We have assumed a simple triangle because no description is given for the triangle.

Hence the line segment fg is parallel to de if drawn points d and f marked on ab and points e and g are marked on ac.

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Answer:D-E is parallel to FG which is parallel to B-C meaning all three are parallel

Step-by-step explanation:

The resulting polynomial when 5x -6 is subtracted from 3x² -6x +2 is; 3x² -11x +8.

It follows from the task content that the polynomial 5x -6 is to be subtracted from 3x² -6x +2.

Hence, the subtraction goes thus; 3x² -6x +2 -(5x-6).

Hence, 3x² -6x +2 -5x+6

= 3x² -11x +8.

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Answer:

9

Step-by-step explanation:

0

Answer:

Graph will shift 2 units to the left

Answer:

5 feet

The graphs intersect at x = 5.

Answer:

see explanation

Step-by-step explanation:

(9m + 4)² - (9m - 4)² ← expand both factors using FOIL

= 81m² + 72m + 16 - (81m² - 72m + 16) ← distribute parenthesis by - 1

= 81m² + 72m + 16 - 81m² + 72m - 16 ← collect like terms

= 144m

= 72(2m)

which is divisible by 72 for all m

The first and foremost rule for determining if 2 triangles are similar is checking if their angles are the same. Obviously, in this example, the angles are completely different, so the triangles are not similar.

Have a nice day!

And good luck on the assignment!

Step-by-step explanation:

the product of segments theorem :

products of segments of intersecting chords are equal.

the 2 chords helping us are

the "4 + 25" chord.

the "x + x" chord (that connects then outwards to the 20 segment).

so, based on that theorem

4 × 25 = x × x

100 = x²

x = sqrt(100) = 10

Answer:

[tex]\pi \times radius \times hieght[/tex]

Answer:

7*36=21*x

252=21x

x=12

Hope it helps!

Answer:

12

Step-by-step explanation:

Let x be the unknown number.

Method 1

[tex]\implies \sf 7 \times 36 = 21 \times x[/tex]

[tex]\implies \sf 252 = 21x[/tex]

[tex]\implies \sf \dfrac{252}{21} = \dfrac{21x}{21}[/tex]

[tex]\implies \sf 12=x[/tex]

[tex]\implies \sf x=12[/tex]

Method 2 (using mental arithmetic)

[tex]\implies \sf 7 \times 36 = 21 \times x[/tex]

As 7 and 21 are both multiples of 7, divide both sides by 7:

[tex]\implies \sf 36=3x[/tex]

Divide both sides by 3:

[tex]\implies \sf 12=x[/tex]

[tex]\implies \sf x=12[/tex]

The complete question is

"The equation c = 35h + 60 describes a plumber's charges, c, for a job that takes h hours. Which statement is correct?

a. The domain of this function represents the total cost for a job

b. H is a function of C

c. The painter charges a $35 service fee in addition to an hourly rate

d. The painters hourly rate is $35.00"

The equation c = 35h + 60 describes a plumber's charges, c, for a job that takes h hours. So, the correct option is D. The painters hourly rate is $35.00

Function is a type of relation, or rule, that maps one input to specific single output.

The equation c = 35h + 60 describes a plumber's charges, c, for a job that takes h hours.

The fixed fee, or service fee, is $60.

$35 is the hourly fee since in the function, it is 35 that is multiplied by the number of hours.

So, the correct option is D. The painters hourly rate is $35.00

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Answer:

88 sq. units

Step-by-step explanation:

1st. BxH

12-4 = 8 is our Base

8x8=64 that is out 1st area

and 2nd area is LxW which is 12x2 = 24

64+24= 88 sq. units

Answer:

Original price=$12

Step-by-step explanation:

First set that up as an equation

9/a=75/100

Now cross multiply

75a=900

Then divide 75 from both sides for original price

75a/75=900/75

a=12

There's your answer

Hope this helped :)

Answer:

Step-by-step explanation:

Both the Red and Yellow lines are lines of symmetry, Option D is correct.

A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

Lines of symmetry in a figure are lines that divide the figure into equal parts.

The given figure is a square as we observe the four sides are equal in the given shape.

In a square, there are four lines of symmetry, each of which divides it into two identical parts.

The symmetry lines of a square are both its diagonals and the lines joining the midpoints of its opposite sides (bisectors).

In the given Figure, the Red lines cuts the shape into 2 equal halves vertically and the Yellow line cuts the shape into 2 equal halves diagonally.

Hence, both the Red and Yellow lines are lines of symmetry, Option D is correct.

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By trigonometric functions and law of cosines, the value of x associated with a missing angle in the geometric system is between 7.701 and 7.856.

In this question we have a geometric system that includes a right triangle, whose missing angle is determined by the following trigonometric function:

sin (7 · x + 4) = 12/14

7 · x + 4 = sin⁻¹ (12/14)

7 · x + 4 ≈ 58.997°

7 · x = 54.997°

x ≈ 7.856

In addition, the geometric system also includes a obtuse-angle triangle and that angle can be also found by the law of the cosine:

7² = 8² + 6² - 2 · (8) · (6) · cos (7 · x + 4)

17/32 = cos (7 · x + 4)

7 · x + 4 = cos⁻¹ (17/32)

7 · x + 4 ≈ 57.910°

7 · x ≈ 53.910°

x ≈ 7.701

Hence, we conclude that the value of x associated with a missing angle in the geometric system is between 7.701 and 7.856.

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Answer:

6.6

Step-by-step explanation:

the "mean" of a data set is what we commonly refer to as the average. We find this estimate of values by adding up all of the values of the data set, and then dividing by the number of values we added together.

{for example: the mean [average] of 1, 5, 6:

1 + 5 + 6 = 12

12 ÷ 3 [we have 3 numbers] = 4}

our values:

6.1 ; 5.9 ; 4.2 ; 5.9 ; 10.7

> 6.1 + 5.9 + 4.2 + 5.9 + 10.7 = 32.8

[we have 5 numbers]

32.8 / 5 =  6.56

when rounding a number, we look to the digit one place to the right. If it is greater than or equal to 5, we "round up" our digit [we move it up to the next digit]

if it is less than 5, we keep our digit the same

(the tenths place =  _  . _ _ _  ones. tenths)

so if we round 6.56 to the nearest tenth:

6.56

[6 > 5]

6.6

So, the mean of this data set rounded to the nearest tenth is 6.6

hope this helps!!

Answer:

Question 1: A. Replace one equation with a multiple of the other equation

Question 2: B. No

Step-by-step explanation:

1) How can we get System B from System A?

Choose 1 answer:

A. Replace one equation with a multiple of the other equation

B. Replace one equation with a multiple of itself

C. Swap the left-hand sides of both equations

D. Swap the order of the equations

2) Based on the previous answer, are the systems equivalent? In other words, do they have the same solution?

Choose 1 answer:

A. Yes

B. No

The answer to both questions is in bold and in the "Answer" section.

Hope this helps!

If not, I am sorry.

Answer:

See below

Step-by-step explanation:

The mean score and the standard deviation are needed

Maximum total 8 points in which the sides of the quadrilateral can intersect the sides of the hexagon.

A regular hexagon is a closed shape polygon which has six equal sides and six equal angles. In case of any regular polygon, all its sides and angles are equal.

A convex quadrilateral is a four-sided polygon that has interior angles that measure less than 180 degrees each. The diagonals are contained entirely inside of these quadrilaterals

Take a look at just one side of the quadrilateral—a straight line. Since we are told that no side of the quadrilateral lies on the same line as a side of the hexagon, the maximum number of times a side of the quadrilateral could intersect the hexagon is 2. We can use a ruler to test this on the image of the hexagon. There is no way to pass a straight line through the hexagon and have it intersect the shape more than 2 times. Therefore, the maximum number of points at which the quadrilateral could intersect the hexagon would be

at 2 points per side, at 2 × 4 = 8 points.

Hence, Maximum total 8 points in which the sides of the quadrilateral can intersect the sides of the hexagon.

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To graph this situation we must take into account the data and the organization of each of them on the X axis and Y axis.

To graph this situation we must take into account the data we have:

Based on these data, we assign the horizontal axis to count years and the vertical axis to count tickets per year. We must continue the pattern of increased attendance over the years.

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The rational exponent form of the given expression is b³. The correct option is the second option b³

From the question, we are to determine the rational exponent form of the given expression

The given expression is

[tex]\sqrt{b^{6} }[/tex]

From one of the laws of indices, we have that

[tex]\sqrt[n]{x^{m} } = x^{\frac{m}{n} }[/tex]

Thus,

[tex]\sqrt{b^{6} } = b^{\frac{6}{2} }[/tex]

= [tex]b^{3}[/tex]

∴√b⁶ = b³

Hence, the rational exponent form of the given expression is b³. The correct option is the second option b³

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Question:

2÷a=(5/2)÷(5/4)

Answer:

a = 1

Answer:

y = -x +2

Step-by-step explanation:

Equation of a line in slope-intercept form :

   y = mx + b    where m = slope and 'b' is the y-axis intercept

y = -x-2    is in this form.....  slope m = -1      b = -2

   the parallel line will have the same slope = -1 and will look like

        y = -x + b

       to calculate the value of 'b' for this line, substitute in the point given:

             -2 = - (4) + b      shows b = 2

  so your line becomes   y = -x + 2

Answer:

  y =-x + 2

Step-by-step explanation:

    Parallel lines have same slope.

     y = -x - 2

Compare with the equation of the line in slope y-intercept form: y =mx + b

Slope = m = -1

So, equation of line: y = -x + b

Point(4 ,-2) is going through this line. so, substitute x = 4 & y = -2 in the above equation.

            -2 = -4 + b

          -2 + 4 = b

              [tex]\sf \boxed{b = 2}[/tex]

Equation of the required line:

            [tex]\sf \boxed{\bf y = -x + 2}[/tex]

Answer:

(-25, 25)

Step-by-step explanation:

let me know if you want an explanation!

Answer: A=9x^4

Step-by-step explanation:

Hii, do you need to find the area of a square with a side length of 3x^2? Let me help you out! (:

To find the area of a square, you need to square its side length.

Sounds strange, right?

The formula is shown below.

[tex]\LARGE\boldsymbol{A=a^2}[/tex]

Here "A' (capital A) denotes the area

"a" (lower-case a) denotes the side length

The 2 above the a tells us that we need to multiply the side length times itself.

Alright, now it's just a matter of sticking in the known values...

[tex]\sf A=(3x^2)^2[/tex]

Simplify

[tex]\sf A=9x^4[/tex]

Voila! There's our answer, cheers! (;

Hope I helped! Best wishes! (:

Reach far. Aim high. Dream big.

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