Use the drop-downs to identify the domain and range of the following relation.

{(–4, –7), (0, 6), (5, –3), (5, 2)}

What is the domain of this relation?

What is the range of this relation?

Answer:

The surface area of the triangular prism is 142.919 m^2.

Step-by-step explanation:

Answer:

$404.17

Step-by-step explanation:

(19700 - 19700/2 -5000) / 12 =

The net change in the volume of the water in the tank in liters would be  100 liters.

We can calculate the released in released with the released between the water released from the water released .

Quantity of water pumped in per minute = 45 liters

Quantity of water released per minute = 25 liters

Number of minutes = 5 minutes

Total water pumped in = 45 liters × 5 minutes

= 225 liters

Total water released = 25 liters × 5 minutes

= 125 liters

Net change in the volume of the water in the tank in liters

= Total water pumped in - Total water released

= 225 liters - 125 liters

= 100 liters

Learn more about cylindrical shape:

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Answer: 9X² + 30X + 225

Step-by-step explanation: Are if a square is the square of the length of a side

(3X + 5)² = ( 3X + 5)(3X + 5)

= 9X² +15X + 15X + 25

= 9X² + 30X + 25

Answer:

24 balms

Step-by-step explanation:

2 hours is 120 minutes

120 minutes / (5 minutes/balm)  = 24 balms

Answer:

Hi

Step-by-step explanation:

Answer:

760 m

Step-by-step explanation:

You can draw a right triangle.

For the angle of 70°, 276 m is the adjacent side.

The heigh of the building above 1.66 m is the opposite side.

tan x = opp/adj

tan 70° = h/276

h = tan 70° × 276

h = 758.3

h is the height above 1.66 m.

height = 758.3 m + 1.66 m = 759.96 m

Answer: 760 m

Step-by-step explanation:

2/5(x+4) - 3/5(2x+3) = 2/5(2-x)-1

2/5(x+4)-3/5(2x+3) = 2/5x-1/1(2-x)

2/5(x+4)-3/5(2x+3) = -2/5(2-x)

2/5x+8/5 - 6x/5 + 9/5 = -4/5 - (-2x/5) (-x- = +)

2x/5 + 8/5 - 6x/5 + 9/5 = -4/5 + 2x/5

(take like terms)

2x/5 - 6x/5 - 2x/5 = -4/5 - 9/5 - 8/5

( Find their L.C.M ) (5 is the LCM)

2x - 6x -2x / 5 = -4 - 9 - 8 / 5

-10x / 5 = -13 / 5

( cross multiply)

-50x = -65

x = -65/50

x = -1.3 ( decimal)

or x = 13/10 (improper fraction)

or x = 1 ³/10 ( mixed fraction).

Hope this helps.

Good luck.

If you have any questions, you're free to ask.

Answer:

The graph is decreasing in a non linear form, this is shown because from the 0 value to the 12 value on the x axis the y value decreases from 4000 to less than 400( graph going downwards) and its non linear because the graph does not form a straight line

Answer:

x is approximately 13.7

Step-by-step explanation:

tan(58°) = 22/x

x tan(58°) = 22

x = 13.7

Answer:

x=-7

y=2

Step-by-step explanation:

6x+9y=-24

3y=6

therefore, 9y=18,

and 6x=-42

x=-7

y=2

Answer:

2) 1/6 : split in half horizontally and into thirds like a fence (vertically)

3) 1/2 : draw a line of symmetry down the middle

4) 1/2 : draw a line of symmetry down the middle

5) 1/6 : slice it like a pizza <3

Answer:

[tex]\boxed{\tt (6,-7)}[/tex]

Step-by-step explanation:

[tex]\tt 4x + 2y = 10\\x - y = 13[/tex]

First Let's solve for x in x-y=13

[tex]\tt x-y=13[/tex]

Add y to both sides:

[tex]\tt x=13+y[/tex]

Now, Substitute x=13+y into 4x+2y=10:-

Let x=13+y

[tex]\tt 4(13+y)+2y=10[/tex]

[tex]\tt 52+6y=10[/tex]

Now, let's solve for y in 52+6y=10:-

[tex]\tt 52+6y=10[/tex]

Subtract 52 from both sides:-

[tex]\tt 6y=10-52[/tex]

[tex]\tt 6y=-42[/tex]

Divide both sides by 6:-

[tex]\tt \cfrac{6y}{6} =\cfrac{-42}{6}[/tex]

[tex]\boxed{\tt y=-7}[/tex]

Now, we'll Substitute y=-7 into to x=13+y to find "x":-

[tex]\tt x=13+y[/tex]

[tex]\tt x=13+-7[/tex]

[tex]\boxed{\tt x=6}[/tex]

___

Based on Rachel's work, we can deduce and conclude on the following: options A, C and E.

Based on Rachel's work shown in the image attached below, we can deduce and conclude on the following:

The function is continuous because for every hour given, there is always a value for the cups of juice. Thus, its graph would be linear and have a straight line.

Also, the scenario is represented by a linear function because the rate of change is constant. Lastly, for every additional hour, 53 cups of juice are poured.

In conclusion, time represents the independent variable while number of cup of juice is an independent variable.

Read more on functions here: https://brainly.com/question/4246058

Answer:

Step-by-step explanation:

Answer:

x = -5/2  + root(33)/2   or   x = -5/2 - root(33)/2

Step-by-step explanation:

ok so your computer is

saying:

x^2  + 5x = 2

and takes the 5 divides it by 2  and squares the result

x^2  + 5x  +  25/4    =   2 + 25 /4   but then   replaces a trinomial with a binomial

(x + 5/2)^2  =  2 + 25/4 =  33/4

solving

x = -5/2  + root(33/4)   or   x = -5/2 - root(33/4)

or

x = -5/2  + root(33)/2   or   x = -5/2 - root(33)/2

Answer:

C and D

Step-by-step explanation:

correct on edge

Answer:

0.700 is the answer follow me please please

Answer:

56 in

Step-by-step explanation:

Square ....so each side is = x

x * x = area = 196

x^2 = 196

x = sqrt (196) = 14 in

perimeter = x  + x + x + x = 56 in

Answer:

56 inches

Step-by-step explanation:

Given,

Area of square = 196 square inches

To find : Perimeter of the square = ?

Formula : -

Area of square = side²

side² = 196

         = 14 x 14

side² = 14²

side = 14 inches

Formula : -

Perimeter of the square = 4 x side

perimeter of the square

= 4 x 14

= 56 inches

Answer:

50%

Step-by-step explanation:

The end goal here is to find the total area of the entire figure from the center to the outer radius D. Then take the ratio of region B with respect to the total area, which will give you the probability of landing in the area B.

Circle A has a radius of 4. Circle B has a radius of 8. Circle C has a radius of 12. Circle D has a radius of 16. Therefore, the total area of the dartboard is given by:

[tex]A_{total}=\pi r^2=\pi (16)^2=256\pi[/tex]

The area of the region B can be found by thinking of region B as a shaded region between two concentric circles A and C. The area of the circle C is given by:

[tex]A_C=\pi r^2=\pi (12)^2=144\pi[/tex]

The area of circle A is given by:

[tex]A_A=\pi r^2=\pi (4)^2=16\pi[/tex]

Therefore the area of region B would be:

[tex]A_B=144\pi -16\pi =128\pi[/tex]

Finally, the probability of landing in region B would be:

[tex]P=A_B/A_{total}=128\pi /256\pi =0.5[/tex]

Answer:

B

Step-by-step explanation:

The number is x and you want 6 of that, so that makes 6x

You want 8 less of this, so subtract 8

Therefore you get 6x - 8

Answer:

B

Step-by-step explanation:

8 less than the product of 6 and x gives the expression 6x-8.

Answer:

[tex]y=2x+6[/tex]

Hope This Helps! :)

Answer:

45 mph

Step-by-step explanation:

It took the car 4 hours to travel 180 miles

Then

It took the car 4/4 hours to travel 180/4 miles

Since 4/4 = 1 and 180/4 = 45

Then

It took the car 1 hours to travel 45 miles

Therefore ,the car was it going at 45 mph

Answer:

23.6

Step-by-step explanation:

[tex]c=2\pi r[/tex]

The diameter of the cirle is 7.5 m. To find the radius you would take half of the diameter.

7.5 / 2 = 3.75

[tex]c=2\pi 3.75[/tex]

Then you multiply them

your answer is

23.5619

then you round

23.6

Hope this helps!

Answer:

75 percent is your answer

Answer:

n is less than 9.

Answer:

[tex]y+7=-\dfrac23(x-1)[/tex]

Step-by-step explanation:

Use the point-slope form of a linear equation: [tex]y-y_1=m(x-x_1)[/tex]

where:

Given:

Substitute the given values into the formula:

[tex]\implies y-(-7)=-\dfrac23(x-1)[/tex]

[tex]\implies y+7=-\dfrac23(x-1)[/tex]

Answer:

8000 pounds are in 4 tons

Step-by-step explanation:

hope it helps loves x :))

Answer:

8000 Pounds

Step-by-step explanation:

There are 8,000 pounds in 4 tons.

1 ton = 2,000 pounds.

Therefore, you multiply 4 x 2,000. Your answer is 8,000 pounds.

Answer:

in the lefthand direction

Step-by-step explanation:

in  |x + 6| , the +6 means that it shifts left by 6 units

if it was -6, it was should right by 6 units