One water filter will clean 40 gallons of water. Which equation can be used to find g, the total number of gallons cleaned by any number of filters f.
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Answer:

The answer is 20

Step-by-step explanation:

The wave starts at the origin and doesn't complete the cycle until unit 20.

Answer:

[tex]\displaystyle 20[/tex]

Step-by-step explanation:

[tex]\displaystyle \boxed{y = cos\:(\frac{\pi}{10}x - \frac{\pi}{2})} \\ \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{5} \hookrightarrow \frac{\frac{\pi}{2}}{\frac{\pi}{10}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{20} \hookrightarrow \frac{2}{\frac{\pi}{10}}\pi \\ Amplitude \hookrightarrow 1[/tex]

OR

[tex]\displaystyle \boxed{y = sin\:\frac{\pi}{10}x} \\ \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{20} \hookrightarrow \frac{2}{\frac{\pi}{10}}\pi \\ Amplitude \hookrightarrow 1[/tex]

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the sine graph, if you plan on writing your equation as a function of cosine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = cos\:\frac{\pi}{10}x,[/tex] in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [photograph on the right] is shifted [tex]\displaystyle 5\:units[/tex]to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle 5\:units,[/tex]which means the C-term will be positive, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{5} = \frac{\frac{\pi}{2}}{\frac{\pi}{10}}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = cos\:(\frac{\pi}{10}x - \frac{\pi}{2}).[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph WILL hit [tex]\displaystyle [-15, 1],[/tex]from there to [tex]\displaystyle [5, 1],[/tex]they are obviously [tex]\displaystyle 20\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle 20.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 0,[/tex]in which each crest is extended one unit beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

Answer:4/3

Step-by-step explanation:

2/6=x/4 cross multiply

6x=8 x=8/6 =4/3 Divide and simplify

Answer:

y= 4/1 + -6

Step-by-step explanation:

Answer:

y = -4x - 6

Step-by-step explanation:

Answer:

step 2: (FH)/(JH)=5/6

step 3: (GH)/(IH)=(FH)/(JH)

Step-by-step explanation:

this is right

The △FGH isn't similar to △JIH.

A triangle is a polygon with three sides, angles and vertices.

The triangle is classified into various types on the basis of the angle and on the basis of the equality of the length of the sides, as obtuse , acute and right angled triangle and scalene, isosceles and equilateral triangle.

Two triangles are said to be similar when the sides of both the triangle are in proportion.

Two triangles FGH and IJH are given and have to be proved that they are not similar

The step 1 is GH/IH = 10/10 = 1 ( By substituting given values)

The step 2 is GF/IJ = 8 /8 = 1 ( By substituting given values)

The step 3 is FH/HJ = 1

FH = HJ ( ( By substituting values from 1 and 2)

This is not true, FH = 5 and HJ = 6

As the corresponding sides of the triangles are not equal so they are not similar.

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Answer:

24cm^2

Step-by-step explanation:

Given data

Length= 6cm

Width=4cm

Required

The area of the Rectangle

Area=Length*Width

Substtiute

Area=6*4

Area= 24cm^2

Answer:

Step-by-step explanation:

[tex]\frac{(n + 1)!}{(n+3)!}=\frac{(n + 1)!}{(n+3)*(n +2)*(n+1)!}\\\\= \frac{1}{(n+3)(n+2)}\\[/tex]

Answer:

The Poisson probability distribution gives the probability of a number of events occurring in a fixed interval of time or space if these events happen with a known average rate and independently of the time since the last event. For example, a book editor might be interested in the number of words spelled incorrectly in a particular book. It might be that, on the average, there are five words spelled incorrectly in 100 pages. The interval is the 100 pages.

Answer:

$286 per hour

Step-by-step explanation:

first we have to find out what 30% of $220 is

we do this by multiplying $220 by 0.3

We get $66

then we add the markup value to the initial value

$66 + $220= $286

bob's a scu.mbag

hope this helps chu babe <3

Answer:

area = 6.5 ft²

Step-by-step explanation:

area = 1/2bh

area = 1/2(39)(48) = 936 in²

one ft² = 144 in²

936/144 = 6.5 ft²

Answer:

this is not propotioinal, because 14 divided by 2 is 7 and 20 divided by 3 is not equal to 7 you need 1 more book in the second box to make it proportional

Step-by-step explanation:

hope this helps      :)

Answer:

Add all the angles to gether then subtract that from 180 next take 43,51, and the unknown angle add it togther and there is your answer.

Step-by-step explanation:

After answering the presented question, we can conclude that As a graphs result, the best-supported statement by the evidence is A: The data distributions for Team A and Team B are roughly symmetrical.

Mathematicians use graphs to visually display or chart facts or values in order to express them coherently. A graph point usually represents a relationship between two or more things. A graph, a non-linear data structure, is made up of nodes (or vertices) and edges. Glue the nodes, also known as vertices, together. This graph includes V=1, 2, 3, 5, and E=1, 2, 1, 3, 2, 4, and (2.5). (3.5). (4.5). Statistical graphs (bar graphs, pie graphs, line graphs, and so on) are graphical representations of exponential growth. a logarithmic graph shaped like a triangle.

Based on the dot plots, it is clear that both teams have the same set of heights, ranging from 72 to 84 inches. As a result, choices B and C are inappropriate since they entail a comparison of the data from the two teams.

Option A cannot be totally confirmed based on the information provided because dot plots do not provide information on the distribution's shape.

Option D is inappropriate because both teams have the same heights and thus the same mode. As a result, the best-supported statement by the evidence is A: The data distributions for Team A and Team B are roughly symmetrical.

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Answer:

125 yards long and the length of one diagonal of the field is 150 yards

Answer:

81,000

Step-by-step explanation:

Answer: The first option and third options have a solution x=4.

Step-by-step explanation:

Hope this helps!

Answer:

about 8%

Step-by-step explanation:

Current length: 30 cm

Current width: 20 cm

Original perimeter: (30 x 2) + (20 x 2) = 60 + 40 = 100 cm

Length increased by 10%: 30 cm + 3 cm = 33 cm

Width increased by 5%: 20 cm + 1 cm = 21 cm

New perimeter: (33 x 2) + (21 x 2) = 66 + 42 = 108 cm

The perimeter increased by 8 cm.

8 cm is 8% of 100 cm so the percent increase in the perimeter is 8%

Answer:

ok ss

Step-by-step explanation:

Answer:

21 feet

Step-by-step explanation:

Given :

Height of the tripod above the ground = 5 ft

Elevation = 8°

Distance of the tree from the tripod = 120 ft

Therefore from the figure, we can find the height of the tress as:

[tex]$\tan 8 ^\circ = \frac{BC}{AB}$[/tex]

[tex]$0.1405 = \frac{BC}{120}$[/tex]

∴  BC ≈ 16

Therefore, CE = BC+BE

                        = 16 + 5

                        = 21

Therefore the height of the tree is 21 feet.

The tree is 21.87 ft tall.

Kirsten's distance from the tree, D, the height of the tripod above the ground h and the line of sight of the top of the tree from the tripod form a right-angled triangle with hypotenuse side, Kirsten's line of sight, opposite side, height of the tripod above the ground and adjacent side, Kirsten's distance from the tree.

Since the angle of elevation above the horizontal of the top of the tree is 8°, we have that

tan8° = h/D

h = Dtan8°

Since D = 120 ft,

h = Dtan8°

h = 120tan8°

h = 120 × 0.1405

h = 16.87 ft

Since the tripod is 5 ft above the ground and the top of the tree is h = 16.87 ft above the top of the tripod, the height of the tree H = 5 + h

= 5 ft + 16.87 ft

= 21.87 ft

So, the tree is 21.87 ft tall.

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Answer:

<VUT = 50

Step-by-step explanation:

Tangent Chord Angle = 1/2 Intercepted Arc

< VUT = 1/2 (100)

<VUT = 50

Answer:

A

Step-by-step explanation:

since inscribed angle is half of the central angle

<VUT= 1/2 central angle

< VUT = 1/2×100

<VUT = 50

Answer:

can you like zoom the question because i cannot find it.

Answer:

7.065 about

Step-by-step explanation:

Area= 3.14 r squared r=3/2

3.14 x 1.5 squared=7.065

Answer:

hola soy dora

Step-by-step explanation:

soy stan kim namjoon

Answer:

7 x 2 + 3 = 17

7 - 2 + 3= 8

14 ÷ 2 + 3 = 10

14 ÷ 7 - 3  - 1

Step-by-step explanation:

Answer:

24 inches

Step-by-step explanation:

a square has 4 equal sides. if one side is 6, the rest of the sides are also six. perimeter is all the sides added. so 6+6+6+6, or 6*4, equals 24 inches as perimeter.

Figure with four equal sides and four right (90°) angles. If a square has one side that measures 6 inches then perimeter of square is 24 inches.

a  figure with four equal sides and four right (90°) angles.

We know that in a square all the sides will measure equal length. So the formula for  perimeter of square is P=4a or p equal to four times of a.

Where p is the perimeter and a is the measurement of a side.

It is given that measure of one side of square is 6 inches.

So value of a is 6.

Substitue the value of a in the perimeter formula.

Perimeter=4×6

When four is multiplied with six we get twenty four.

=24 inches.

Hence perimeter of the square with one side measure 6 inches is 24 inches.

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Answer:

164,340

Step-by-step explanation:

Plug in 32 as n into the expression

120n + 160,500

120(32) + 160,500

3,840 + 160,500

= 164,340

So, the expression is equivalent to 164,340

Answer:

y = -5x/4 - 1

Step-by-step explanation:

Answer:

8/9

Step-by-step explanation:

4/9+4/9

1/9+1/3= 4/9 so than add that by the other one and it gets you to

8/9

Answer:

you have to convert the thrid to three ninths by multiplying it by 3 . then add it to the one ninth and you should have four ninths. add it to the other four ninths amd your final answer should be 8/9

Answer:

2a-6

Step-by-step explanation:

2(a-3)

2*a-(2*3)

2a-6