What is the range of the graph below?
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Given:

Length of the cuboid tank = 4 m

Breadth = 2.5 m

Height = 2.4 m

One third of the tank is filled with water.

1 cubic meter = 1000 liters.

To find:

The quantity of the water in the tank.

Solution:

Volume of a cuboid is:

[tex]V=l\times b\times h[/tex]

Where, l is length, b is breadth and h is the height.

The volume of the tank is :

[tex]V=4\times 2.5\times 2.4[/tex]

[tex]V=24[/tex]

Volume of tank is 24 cubic meter.

One third of the tank is filled with water. So, the volume of the water is

[tex]\dfrac{24}{3}=8[/tex]

The volume of water is 8 cubic meters.

We have,

1 cubic meter = 1000 liters.

8 cubic meter = 8000 liters.

Therefore, the quantity of the water in the tank is 8000 liters.

Answer:

The vertex is (3,1)

Step-by-step explanation:

Answer:

(3, 1)

Step-by-step explanation:

Locate the vertex.  Here it represents the maximum value of this quadratic function.  The x-coordinate shown is 3 and the y-coordinate is 1.  Thus, the vertex is (3, 1).

Answer:

No it doesn't

You see when something is in parenthesis () that means it isolated as a whole.  When it says (-6)^2 that means Negative six squared.  When it says -6^2 that means only the 6 will be squared since they are not parenthesized.  So by isolating the two figures both of those numbers together will be squared whereas when they arent isolated only one of them will be squared.

(-6)^2 =  -6 x -6 = 36

-6^2= - x 6 x 6= -36

Answer:

-6^2 is same as (-6)^2

Therefore, - 6^2 is - 6×-6 WHICH IS EQUALS TO 36

(-6)^2 = - 6×-6=36

36=36 is the answer.

Answer:

x^2+y^2 = 49

Step-by-step explanation:

This is a circle.

The generic equation of a circle is

(x-h)^2+ (y-k)^2 = r^2

where (h,k) is the center and r is the radius

The center of the circle is at the origin which is (0,0)

The radius is 7

(x-0)^2+(y-0)^2 = 7^2

x^2+y^2 = 49

Answer:

[tex] \displaystyle {x}^{2} + {y}^{2} = 49[/tex]

Step-by-step explanation:

we are given a circle

we want to figure out the equation of the circle

remember that,

[tex] \rm \displaystyle E _{c} : (x - {h)}^{2} + (y - k {)}^{2} = {r}^{2} [/tex]

(h,k) are the centre of the circle

we can clearly see that the centre of the circle is (0,0) and the redious is 7 units

thus substitute:

[tex] \displaystyle (x - {0)}^{2} + (y - 0{)}^{2} = {7}^{2} [/tex]

further simplification is needed:

[tex] \displaystyle {x}^{2} + {y}^{2} = 49[/tex]

and we are done!

Answer:

40

Step-by-step explanation:

Substitute 25 for x

[tex] {25}^{2} - 30(25) + 225 = 100[/tex]

100 is the area of the square so that means

10 is the side length of each side of the square.

Multiply 4 by 10 to get the perimeter.

[tex]4 \times 10 = 40[/tex]

Answer:

Step-by-step explanation:

perimeter of larger hexagon=2.5 perimeter of smaller hexagon

Answer:

∠1 = 103°

Step-by-step explanation:

supplementary angle to 136° = 180° - 136° = 44°

∠1 = 180° - 33° - 44° = 103°

Step-by-step explanation:

Let the unnamed angle in the triangle be x.

x + 136 = 180 (Sum of angles on the same straight line)

x = 180 - 136

= 44

Angle 1 + x + 33 = 180 (Sum of angles in a triangle)

Angle 1 + 44 + 33 = 180

Angle 1 + 77 = 180

Angle 1 = 180 - 77

= 103

Answer:

31.2

Step-by-step explanation:

Hope it helps !!:)

Answer:

30 I think

Step-by-step explanation:

Area of a triangle is (base×height) ÷2

So that means that to solve this you'd need to do 20 (the base) ×3 (the height). This gives you 60; then you divide it by 2. This gives you 30.

Answer:

A. 7

Step-by-step explanation:

The rest of the numbers are in the 20's and 30's. 7 is obviously a single digit number,  meaning that it is the outlier.

Answer:

see explanation

Step-by-step explanation:

The zeros of the graph are x = - 4 and x = 2 , then the factors are

(x + 4)(x - 2) and

y = a(x + 4)(x - 2) ← a is a multiplier

To find a use any other point on the graph and substitute into the equation

Using (0, - 8 ) , then

- 8 = a(4)(- 2) = - 8a ( divide both sides by - 8 )

1 = a

y = (x + 4)(x - 2) = x² + 2x - 8

with b = 2 and c = - 8

The graph is increasing from the turning point ( vertex) to the right

vertex = (- 1, - 9 )

Increasing in the interval [- 1, ∞ )

Answer:

4.5 cups flour

Step-by-step explanation:

6.5 - 2 = 4.5

Answer:

rebate of 20 after taxes

Step-by-step explanation:

Answer:

rebate of 20 after taxes

Step-by-step explanation:

Answer:

Min: (-3,2)

Hope this helps!!

Answer:

120km

Step-by-step explanation:

We multiply 30km (thats how fast he was moving per hour) by the number of total hours during the journey, which is 4, 30 x 4 is 120km.

Answer:

Surface area of square pyramid = 380 m²

Step-by-step explanation:

Given:

Side of square base =10 m

Height of Square pyramid = 14 m

Find:

Surface area of square pyramid

Computation:

Surface area of square pyramid = Surface area of Base + 4[Surface area of triangle]

Surface area of square pyramid = [side x side] + 4[(1/2)(b)(h)]

Surface area of square pyramid = [10 x 10] + 4[(1/2)(10)(14)]

Surface area of square pyramid = 100 + 4[70]

Surface area of square pyramid = 100 + 280

Surface area of square pyramid = 380 m²

Answer:

x= 7.87298334621                          x=.12701665379

Step-by-step explanation:

This is in standard form so we have to factor this into

x^2-8x + 16 + 1 = 16

(x-4)^2 = 15

(x-4) = [tex]\sqrt{15\\}[/tex]

x-4= ± 3.87298334621

x-4 = 3.87298334621                      x-4= -3.87298334621

x= 7.87298334621                          x=.12701665379

Answer:

x=65°  

Step-by-step explanation:

Since all exterior angles add up to 360°.

⇒(3x+25°) + (20°) + (x+55°) =360°

⇒4x+100°=360°                                      {Add up like terms}

⇒4x=260°                                                {Subtract 100 from both sides}

∴  x=65°                                                   {Isolate x (divide both sides by 4)}

I hope this helped you with your math problem but more especially with understanding how to solve.

Answer:

4, (2,-4)

m= 5,(1,)

3,( 2,9)

Answer:

[tex]y+6=\frac{5}{2} (x+3)[/tex]

Step-by-step explanation:

point-slope formula: [tex]y-y_1=m(x-x_1)[/tex]

where m = slope and the point would be [tex](x_1,y_1)[/tex]

point-slope form: [tex]y+6=\frac{5}{2}(x+3)[/tex]

If you want to learn more about point-slope form,

Go to: https://www.albert.io/blog/point-slope-form/#What_is_point_slope_form

The area of the parallelogram in the diagram given is: 1,330 in.²

Area of a parallelogram = (base × height)

Given the following dimensions of the parallelogram:

Base = 38 in.

Height = 35 in.

Area of the parallelogram = 38 × 35

Area of the parallelogram = 1,330 in.²

Learn more about the area of a parallelogram on:

https://brainly.com/question/3050890

Answer:

63x^2-34x+3

Step-by-step explanation:

Answer:

66.5

Step-by-step explanation:

Answer:

(4,1)

Step-by-step explanation:

The mapping is (x, y)=(-y,- x)

(-1,-4)=(4,1)

The 90° counterclockwise is(4,1)

Mark the brainiest if correct

Answer:

6 + 4d + 11c

Step-by-step explanation:

In order to find the perimeter, you add up all the side lengths which would be expressions in this case

(10c + 10) + (c + 5) + (4d - 9)

add like terms: (10c + c) + (10 + 5 - 9) +4d

= 11c + 6 + 4d

which is the same as 6 + 4d + 11c, I just added them in a different order.

The answer: C/16 + (–7) + 22 + (–12)