Name the property illustrated If g = 3h and 3h = 16, then g = 16
3

Answer: 2x/7 -14

Step-by-step explanation:

- 4/7 + 2/7x - 14 + 4/7=

2/7x - 14 + 4/7 - 4/7=

2/7x - 14 = 2x/7 - 14

Answer:

A

Step-by-step explanation:

Main answer:[tex]x^{2}[/tex]/4 - [tex]y^{2}[/tex]/5=1

Definition of Hyperbola=a symmetrical open curve formed by the intersection of a circular cone with a plane at a smaller angle with its axis than the side of the cone.

Formula=[tex](x-x1)^{2}[/tex]/[tex]a^{2}[/tex] - [tex](y-y1)^{2}[/tex]/[tex]b^{2}[/tex]=1

Given,

origin o(0,0) , focus s(-3,0) , vertex v(-2,0)

and , x1=0, y1=0

  then,     equation of hyperbola becomes= [tex]x^{2}[/tex]/[tex]a^{2}[/tex]-[tex]y^{2}[/tex]/[tex]b^{2}[/tex]=1

a is the distance between center and the vertex,

    distance between o and v = 2

c is the distance between center and the focus,

   distance between o and s =3

                                  [tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex]

                                  4+[tex]b^{2}[/tex]=9

                                      [tex]b^{2}[/tex]=5

Then the equation of hyperbola becomes=[tex]x^{2}[/tex]/4 -[tex]y{2}[/tex]/5=1

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Answer:

B,

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

5/6*5/3

25/18

so the answer is 25/18

Answer:

16 Soccer balls

68 T-shirts

Step-by-step explanation:

Given information:

Define the variables:

Create two equations from the given information:

[tex]\textsf{Equation 1}: \quad x + y = 84[/tex]

[tex]\textsf{Equation 2}: \quad 25x+9.5y=1046[/tex]

Rewrite Equation 1 to make y the subject:

[tex]\implies y=84-x[/tex]

Substitute this into Equation 2 and solve for x:

[tex]\implies 25x+9.5(84-x)=1046[/tex]

[tex]\implies 25x+798-9.5x=1046[/tex]

[tex]\implies 15.5x+798=1046[/tex]

[tex]\implies 15.5x=248[/tex]

[tex]\implies x=16[/tex]

Substitute the found value of x into the rewritten form of Equation 1 and solve for y:

[tex]\implies y=84-16[/tex]

[tex]\implies y=68[/tex]

Solution

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Answer:

22/5

4 2/5

$4.40

Step-by-step explanation:

Answer:

4 4/10

Step-by-step explanation:

He has 5 pets in all (3 cats, 2 dogs)

Divide 22 with 5

22/5 = 4.4

He can spend $4.40, or in fraction form:

4 4/10 (Mixed fraction)

Answer:

D [tex]y = - \frac{1}{4} x - \frac{1}{4} [/tex]

Step-by-step explanation:

The solution of the given equation  y ==2x² - 24r – 56​ :

(6 , -128)

Graph technology aids in the discovery of unknown links in data that cannot be detected or examined using traditional methods. When the broad term graph is introduced as both a topic, it frequently blurs three distinct topics: graph theory, graph analytics, and graph data management.

Graphs and charts are useful visual tools because they deliver information quickly and readily. It is hardly surprising, then, that graphs are widely utilized in print and electronic media. Data can be easier understood when displayed as a graph rather than a table since the graph can illustrate a pattern or comparison.

y =2x² - 24x – 56​

Solving for :

Parabola equation in polynomial form

ax² + bx + c  for x = -b/(2a)

a = 2

b = -24

c = -56.

on solving we get

= -(- 24)/2* 2

= 6

The value of x = 6

putting the value of x to get y:

2x² - 24x – 56​

2(6)² - 24(6) – 56​

-128

the value of y = -128.

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The following statements are true and correct:

Segment EF is twice as long as segment AB

The length of segment AD is 8 units

Since quadrilateral ABCD is scaled to form quadrilateral EFGH, both are similar polygon.

Now, it is known that;

scale factor = ratio of any of their corresponding side

Thus;

Scale factor = GH/CD = 12/6 = 2

This means quadrilateral EFGH is twice the size of quadrilateral ABCD.

The shape of the original polygon remains the same while the size increases.

This implies that, all segments of quadrilateral ABCD increases proportionally times 2 to give us corresponding lengths of the segments of quadrilateral EFGH.

Since shape remains the same, their corresponding angles are congruent and the same in measure.

Therefore, the following statements are true and correct:

Segment EF is twice as long as segment AB; because (EF = AB*scale factor = 3*2 = 6)

The length of segment AD is 8 units because (EH = AD*scale factor = 8*2 = 16)

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Answer:

Step-by-step explanation:

ST=SU

5x=3x+32

5x-3x=32

2x=32

x=32/2=16

ST=5×16=80

TU=80

SU=2×80=160

Answer:

1302 for the first

-194 for second

Step-by-step explanation:

just do the operation

The ordered pair for -5, 6 is (-5, 6)

The expression is given as:

-5, 6

Ordered pairs are often represented by the parenthesis i.e. ( , )

Where the variables x and y are in the parenthesis

So, the proper representation of an ordered pair is

(x, y)

Substitute -5, 6 for x and y in (x, y)

(-5, 6)

Hence, the ordered pair for -5, 6 is (-5, 6)

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The function f(x)-- 5 represents the remaining time in minutes needed to fill the tank in the graph of the pare

Answer:

Here are some function transformations:

1. The function is moved up by "k" units if [tex]f(x) + k[/tex].

2. The function is moved down "k" units if [tex]f(x) - k[/tex].

3. The function is moved "k" units to the right if [tex]f(x) - k\\[/tex] .

4. If  [tex]f(x) + k[/tex], the function is "k" units to the left.

5. If [tex]bf(x)[/tex] and b>1, the function is b times more vertically stretched.

6. In the event that  [tex]bf(x)[/tex] and 0<b<1  the function is vertically compressed by a factor of "b".

The following parent function is provided by the question:

We also know that the transformed function, which denotes the number of minutes still required to fill the tank, is:

Therefore, based on the transformations previously described, we can determine that the following produces the graph of the transformed function:

Answer:

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The complete exercise is: " A 100 gallon fish tank fills at a rate of x gallons per minute. The tank has already been filling for 5 minutes. The function [tex]f(x) = \frac{100}{x-5}[/tex]   represents the remaining time in minutes needed to fill the tank. How is the graph of the parent function [tex]f(x) = \frac{1}{x}[/tex]  transformed to create the graph of [tex]f(x) = \frac{100}{x-5}[/tex] ?"

Inferential statistics are a better way to interpret the data.

Inferential statistics are regularly used to evaluate the variations among the remedy corporations. Inferential records use measurements from the pattern of topics within side the test to evaluate the remedy corporations and make generalizations approximately the bigger populace of topics.

There are many sorts of inferential records and every is suitable for a selected studies layout and pattern characteristics. Researchers must seek advice from the numerous texts on experimental layout and records to discover the proper statistical take a look at for his or her test. However, maximum inferential records are primarily based totally at the precept that a take a look at-statistic cost is calculated on the premise of a specific formula. That cost together with the levels of freedom, a degree associated with the pattern size, and the rejection standards are used to decide whether or not variations exist among the remedy corporations. The large the pattern size, the much more likely a statistic is to suggest that variations exist among the remedy corporations.

Therefore, we get that inferential statistics are a better way to interpret the data.

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Answer:

-1/2

Step-by-step explanation:

first, we multiply 2 and -5 which is -10, then we multiply 5 and 4 which is 20

so, we get -10/20 then the simplest form is -1/2

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Answer:

98

Step-by-step explanation:

For every 1 true or false question, there are 2 answers

so that means, it would mean you could do

7 x 7 = 49

then do 49 x 2 =

98

the reason you would do this is that you want to find all the possible answers chances.

Answer:

A = 8x, B = -a^2-2a-2

Step-by-step explanation:

Answer: y=3.75x+1.9

Step-by-step explanation: the pick up fee would be the y-intercept and the per mile cost would be the slope.

The equation that can be used to determine the number of miles in the taxi ride is 1.90 + 3.75x = 80.65.

The number of miles traveled is 21 miles.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Pick up fee charges = $1.90

Charges per mile = $3.75

Total fare = $80.65

The number of miles traveled = x

We can write an equation as:

1.90 + 3.75x = 80.65

The number of miles traveled:

1.90 + 3.75x = 80.65

Subtract 1.90 on both sides.

1.90 + 3.75x - 1.90 = 80.65 - 1.90

3.75x = 78.75

Divide both sides by 3.75.

x = 21.

Thus,

The equation that can be used to determine the number of miles in the taxi ride is 1.90 + 3.75x = 80.65.

The number of miles traveled is 21 miles.

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The equation is y = ₋20/x and when x = 3 then y = ₋ 6.6 .

Given x and y vary inversely.

The relationships between variables that are expressed as y = k/x, where x and y are two variables and k is a constant value, are known as inverse variation. According to this statement, if the value of one item rises, the value of the other quantity falls.

the value of x is  = 3, we need to find the value of y.

then when x = 5 and y = ₋4

If y varies inversely as x then:

x × y = k (for some constant c)

If (x,y) = (5,₋4) then:

5 × ₋4 = k

₋20 = k

Therefore, xy = ₋20

then, y = ₋20/x ; is the equation of y.

when x = 3, then:

y = ₋20/3 or y = 6.6

Hence we get the required equation of y and the value of when x = 3 as y=₋20/x and y = ₋20/3 or y = 6.6

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Answer:

Step-by-step explanation:

-3g-6

Answer:

In thermodynamics, a closed system can exchange energy (as heat or work) but not matter, with its surroundings. An isolated system cannot exchange any heat, work, or matter with the surroundings, while an open system can exchange energy and matter.

Both the statements are true.

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Answer:

Step-by-step explanation:

3x5=15x3=45

The population density of otter, raccoon, fox and bobcat is 0.3125, 1.66, 0.0803 and 0.0267 per acre

Total park area of the state park = 112 acres

Number of Otter = 35

Number of Raccoon = 186

Number of Fox = 9

Number of Bobcat = 3

The formula of population density is given by:

Population Density = Number of animals/Area of land

Population density of Otter in the park = 35/112 = 0.3125 Otter per acre

Population density of raccoon in the park = 186/112 = 1.66 Raccoon per acre

Population density of fox in the park = 9/112 = 0.0803 Fox per acre

Population density of bobcat in the park= 3/112 = 0.0267 bobcat per acre

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Out of 40 hours that Marcie works, 15 of those hours are spent answering phones. The problem asks that the hours spent answering telephones goes first in the ratio, so that will be the first number.

15 :

The last number is the total number of hours Marcie works.

15 : 40

The income of each laborer is MVR 95.

The total amount of money kept aside by the road transport company of Maldives is MVR 950.

Initial hiring of the laborer is 10.

Here we have to have to income of each laborer.

So, Income of each laborer = total income/number of laborer

                                              = 950/ 10

                                              = 95

Therefore the income of each laborer is MVR95.

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Answer:

f(-3) = 3*-3 + 4 = -9 + 4 = -5

f(3) = 2*3 - 2 = 6 - 2 = 4

f(0) = 2*0 - 2 = 0 - 2 = -2

Answer:

A:B= 1:3

let A=1x,B=3x

A+B = x+3x

x+3x = 40

4x = 40

x=10

A=1(10)=10

B=3(10)=30

Step-by-step explanation:

Dont really know how to explain it well

Answer:

16777216

Step-by-step explanation:

1) [tex]\frac{8^{10} }{8^2} = 8^{10-2}[/tex]

2) [tex]8^{10-2} = 8^8[/tex]

3) [tex]8^8[/tex] = 16777216