If the domain (or pre-image) is (-4, -2), (5, 9), (-6, 2) and the range (or image) is
(-2, 4), (9,-5), (2, 6), what rotation was applied?

The total volume of the pool is 1040 cubic ft. The correct answer is option B.

The complete question is given below:-

The community centre has an L-shaped swimming pool that is 10 feet deep. What is the volume of the pool

1200

1040

640

880

Volume is defined as the space covered by any solid body in the three-dimensional plane.

We know that the total volume of the pool is the sum of the volume of two rectangular prisms.

One is a rectangular prism with dimensions 20ft.×10ft.×4ft.

and the other rectangular prism has dimensions: 6ft.×4ft.×10ft.

Hence, the volume of a first rectangular prism is:

20×10×4=800 cubic ft.                      

The volume of a second rectangular prism is:

6×4×10=240 cubic ft.                    

Hence, the total volume of the pool is:

800+240=1040 cubic ft.                

Therefore the total volume of the pool is 1040 cubic ft. The correct answer is option B.

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The question is incomplete. Below you will find the missing graph.

The lowest value of the range of the function shown on graph is (B) -2.

A graph is the pictorial representation of the function or mathematical relation (Equation or Inequality etc).

The lowest value of the graph is the value of y when y=f(x) gives the least value.

From the given graph we can clearly see that at x=3 the graph of the given function approaches the least value which is -2.

So the lowest value of the range of the function shown on the graph is -2.

Hence the correct option is (B).

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Answer:

*79.40*

Step-by-step explanation:

using sine rule..

a/sinA = b/sinB

42/sin19= x/sin142

x= sin142*42/sin19

= 79.42356..

to the nearest tenth = 79.40.

Answer:

Step-by-step explanation:

a/sinA = b/sinB

(42/sin19) = (x/sin142)

x = (sin142 *42 / sin19)

Round to the nearest tenth -> 79.4

All the blanks have been filled , which proves ultimately that Triangle ABC is a right angled Triangle.

A triangle in which one angle is 90 degree is called a Right Angled Triangle.

AB is congruent to DB because segment DE was constructed so that DE = AB , BC is congruent to EF , because segment EF was constructed so that EF = BC , Since Triangle DEF is a right angled triangle .

DE² +EF²  = DF²  by the Pythagoras Theorem .

WE are given that AB²  +BC²  = AC²

Since DE = AB and EF = BC , DE²  +EF²  = AC²  by the given data

Also DF² = AC² by the above equation .

Taking the square root on both the sides of the equation gives DF = AC .

So AC is congruent to DF by the definition of congruency .

Applying SSS Congruency , Triangle ABC is congruent to DEF .Therefore ABC is a right angled triangle.

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Answer:

V = (s^3)/6  (Answer B )

Step-by-step explanation:

If the length of a side of the base is s, then the height of the pyramid is half that, or s/2.

The volume of a pyramid with a square base and base side length S and height H is V = (1/3)(S^2)(H).

In this case, the formula is V = (1/3)(s^2)(s/2), or V = (s^3)/6  (Answer B)

The range of the function will be (-9, 7). Then the correct option is D.

The domain means all the possible values of x and the range means all the possible values of y.

The function is given in the form of the pair of points.

{(-2, 0), (-4,-3), (2, -9), (0, 5), (-5, 7)}

Then the range of the function will be (-9, 7).

Then the correct option is D.

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Answer:

-x^2-2

Step-by-step explanation:

So by looking at the two curves it appears that g(x) is simply a reflection of f(x) over the x-axis and then shifted 2 units down. So to reflect the parabola you simply make the x^2 negative to get -x^2 and then to go 2 units down you subtract 2 from the -x^2. This gives you the equation

[tex]g(x)=-x^2-2[/tex]

Answer:

y = 2x + 8

Explanation:

Equation: y = 2x - 4

Comparing it with slope intercept form "y = mx + b" where 'm' is slope and 'b' is y-intercept. This function has slope: 2 and y intercept of -4

Parallel lines has same slope.

Passes through (-2, 4)

[tex]\sf y - y_1 = m(x - x_1)[/tex]

[tex]\sf y - 4 = 2(x - (-2))[/tex]

[tex]\sf y - 4 = 2(x + 2)[/tex]

[tex]\sf y = 2x + 4 + 4[/tex]

[tex]\sf y = 2x + 8[/tex]

Answer: y = 2x + 8

Step-by-step explanation:

This is a fairly simple problem. I hope this helps!

So, to find a line parallel, it's simple, and it only requires that for the other line to have the same slope and a different y-intercept (or same "m" and different "b" in the equation y = mx + b).

To find a line parallel to a point is slightly harder, but don't worry, I'll teach you how.

To do this, we have to recognize the point. The point given is (-2, 4) where -2 is the x-value and 4 is the y-value. Remember, points always go by (x, y).

So, we set y to 4, and we set x to -2.

When testing out lines that are parallel to a point, you must always be careful that you end up with the same value. Such as 4 = 4 or 8 = 8, etcetera.

We get:

4 = 2 × (-2) + 8

Simplifying, we get:

4 = -4 + 8

Adding -4 to 8, we get 4:

4 = 4

Thus, y = 2x + 8 is parallel to the point (-2, 4)

The value of the variable x and y will be 15 and 5√3. Then the correct option is D.

The complete question is attached below.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The right triangle is shown.

Then the value of x will be

x = 10√3 × sin 60°

x = 15

Then the value of y will be

y = 10√3 × cos 60°

y = 5√3

Then the correct option is D.

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Answer:

12

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{ASSUMING}[/tex]

[tex]\mathsf{x^{2y}}[/tex]

[tex]\huge\textbf{IF SO, FOLLOW THESE STEPS TO}\\\huge\textbf{SOLVE FOR YOUR RESULT}[/tex]

[tex]\mathsf{x^{2y}}\\\mathsf{= 3^{2(6)}}\\\mathsf{= 3^{2\times6}}\\\mathsf{= 3^{12}}\\\mathsf{= 3\times3\times3\times3\times3\times3\times3\times3\times3\times3\times3\times3}\\\mathsf{= 9\times9\times9\times9\times9\times9}\\\mathsf{= 81\times81\times81}\\\mathsf{= 6,561\times81}\\\mathsf{= 531,441}[/tex]

[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{531,441}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

hi

Step-by-step explanation:

no

The length of each leg and the hypotenuse of this triangle will be:

AD = 2 units.

AE = 2 units.

DE = 2.8 units

From the information given and the attached diagram, the value or AD and AE are 2 units respectively.

The value of DE will be calculated as the square root of 2² + 2². This will be:

= 2² + 2² = 8

= ✓8 = 2.8

Therefore, the correct options are 2, 2, and 2.8 units.

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The control variable that can be used in the research experiment is to ensure that the two set of plants will receive the same amount of water and light.

According to the information, the researcher wants to seek whether singing to plants causes them to grow taller.

The explanatory variable is singing. Therefore, the researcher can control some of the variables to determine the explanatory variable on the growth of the plant.

Hence, the control variable that can be used in the research experiment is to ensure that the two set of plants will receive the same amount of water and light.

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The question is asking you to understand that a population which is raised by a common ratio over a certain time period follows an exponential pattern. See:

After 1 hour, the population is 3*10

After 2 hours, the population is 3*3*10

After 3 hours, the population is 3*3*3*10

.....

This can be generalised as a function of t, the time in hours:

f(t) = (3^t) * 10

Since the function determines the population at a given time, it is more prudent to replace f(t) with P, the population after time t:

P = (3^t) * 10

Since 20 minutes is equal to (1/3) hours, t can be substituted for (1/3) in order to calculate the population size after 20 minutes:

P = (3^(1/3)) * 10 = 14.4224957031 ≈ 14

Therefore the population after 20 minutes is 14.

Answer:

the second option

Step-by-step explanation:

UV and AB are at a right Angie to reach other.

and

UV is parallel to ZY

Answer:

1331 bacteria

Step-by-step explanation:

Number bact =  1000 e^kt

   1100            =  1000 e^k4

        shows k = .023827545

Now for 12 hours

    x = 1000 e^(.023827545 * 12)

         = 1331

i realized my answer is wrong.

(a) [tex]\frac{6-8}{-4-4}=\frac{-2}{-8}=\boxed{1/4}[/tex]

(b) Using the point (4,8), we get [tex]\boxed{y-8=\frac{1}{4}(x-4)}[/tex]

(c) Rearranging into slope-intercept form,

[tex]y-8=\frac{1}{4}(x-4)\\\\y-8=\frac{1}{4}x-1\\\\\boxed{y=\frac{1}{4}x+7}[/tex]

8) 5 + 4 + 2 = 11

Since there are 5 guavas, the correct answer is B. 5/11

9) 3 + 4 = 7

Since there are 4 blue papers, the correct answer is A. 4/7

10) Count all of the numbers and add them. There are 4 twos, 2 fives, and 1 three:

4 + 2 + 1 = 7

Since there are 4 twos, the correct answer is C. 4/7

False

Step-by-step explanation:

Answer:

true.

Step-by-step explanation:

[tex]b^t=\frac{n}{a}; \ = > \ t=log_b\frac{n}{a}; \ = > \ t=\frac{log\frac{n}{a}}{logb}.[/tex]

The beginning, middle and end part of the song is 40, 120 and 240 seconds respectively

let

x + 1/6x + 1/2x = 400

(6x+x+3x) / 6 = 400

10/6x = 400

x = 400 ÷ 10/6

x = 400 × 6/ 10

= 2400 / 10

= 240 seconds

Therefore,

End part = x

= 240 seconds

Beginning = 1/6x

= 1/6 × 240

= 40 seconds

Middle = 1/2x

= 1/2 × 240

= 120 seconds

Complete question:

The beginning is one sixth as long as the end. The middle is one half as long as the end. Find the length of each part

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Answer:

oh.

Step-by-step explanation:

[tex]f { }^{ - } (x) = \frac{2(x + 4)}{2 |x + 4| {}^{} } = \frac{x + 4}{ |x + 4| } [/tex]

[tex] |x + 4| \: is \: always \: positive[/tex]

[tex]solve \: x + 4 > 0[/tex]

[tex]x > - 4[/tex]

[tex]f(x) \: is \: incresing \: from \\[/tex]

Answer:

Step-by-step explanation:

Let the total distance be x.

We have:

Set this as equation and solve for x:

Total distance from the park to the station is approximately 311 m.

Let that be d

Answer:

Y=72

Step-by-step explanation:

First we set up the equation which is (20-2) times 4=Y

Then we solve, 20 minus 2 is risk since it is in the parentheses. 20 minus 2 is 18.

After that 18 times 4 is 72

Y=72

Answer:

125250

Step-by-step explanation:

I just askeked and it gave me the answere

Answer: [tex]-49x^{5} - 34x^{3} - 68[/tex] or [tex]49x^{5} + 34x^{3} + 68[/tex]

Step-by-step explanation:

Since both groups have the same variables and exponents, just align them and add.

[tex]-54x^{5}+5x^{5} = - 49x^{5}[/tex]

[tex]35x^{3} - 69x^{3} = -34x^{3}[/tex]

- 61 - 7 = - 68

[tex]-49x^{5} - 34x^{3} - 68[/tex]

Answer:

h ≈ 37 ft

Step-by-step explanation:

let x be the height of the tree from the viewers eye level

using the tangent ratio, then

tan24° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{72}[/tex] ( multiply both sides by 72 )

72 × tan24° = x

then

height of tree = x + 5 = 72tan24° + 5 ≈ 37 ft ( to the nearest foot )

Answer:

37ft

Step-by-step explanation:

It can be considered as a right angle triangle. The height of the tree is equal to the product of tan(24°) and the distance between the man and tree+5 Therefore

In conclusion

The height of the tree is 37ft

Answer:2

Step-by-step explanation:

Answer: 13

Step-by-step explanation:

The following expressions (1+cosβ)(1−cosβ)sinβ is equivalent to sin³β

In a Right angled triangle , trigonometric ratios can be used to determine the value of angles and sides of the triangle.

The trigonometric expression given in the question is

(1+cosβ)(1−cosβ)sinβ

(a+b)(a-b) = a² - b²

( 1 - cos²β)sinβ

By the trigonometric Identity

1-cos²β = sin² β

 sin² β x sin β

sin³β

Therefore Option B is the correct answer.

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Answer:

Money Paid in Total  = $45

Step-by-step explanation:

Firstly, the term Mark-up refers to the amount added to the cost price to cover the overheads and realize a profit.

A mark-up percentage is a percentage (%) that is used as a basis to determine the mark-up value.

Given

Cost of an Item = 60$

Markup % = 25% on cost

Hence, Mark up in $ = 60$*25%

                                   = 15$

Therefore, Actual cost of an item = Cost of an item - Mark up on Item

                                                        = 60$ - 15$

                                                         = 45$

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The ordering-quantity that should be recommended will be 117 units.

The following can be deduced from the information given:

Demand = 679

Ordering cost = 7

Holding cost = 10%

Ordering quantity will be:

= ✓(2 × Demand × Ordering cost / Holding cost)

= ✓(2 × 679 × 7/0.1)

= ✓13580

= 116.53

= 117

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