What is the result when the number 20 is increased by 20%?

Answer: If a kangaroo hops 9km in 3 minutes, that means he runs 3km every minute, which we can multiply by 2 in order to get 6km in the first 2 minutes. [EXTRA: In one hour, the kangaroo can hop 180km, which means his top speed is 180km/h without accounting for fatigue]

Step-by-step explanation: a

To graph a rational function example, start by writing the equation in the form y = (ax + b)/(cx + d).

Then, plot the points where the denominator equals zero (when x = -d/c). These points are called vertical asymptotes.Next, plot the points where the numerator equals zero (when x = -b/a). These are called horizontal asymptotes.Finally, plot points between the vertical and horizontal asymptotes to graph the rational function.Plotting the points between the vertical and horizontal asymptotes will allow you to see the shape of the graph. Start by plotting points on either side of the vertical and horizontal asymptotes. Then, plot points at evenly spaced x-values between the vertical and horizontal asymptotes. For example, if the vertical asymptote is at x=-d/c, and the horizontal asymptote is at x=-b/a, you can plot points at x=-1.5d/c, x=-0.5d/c, x=-1.5b/a, and x=-0.5b/a. By plotting these points and connecting them with a smooth curve, you can graph the rational function.

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By using function, it can be concluded that

The domain of the function is all real numbers greater than zero.

What is a function

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

Here the values on the horizontal axis is the domain and the values on the vertical axis is the range.

From the graph, it can be seen that the function is defined for all real numbers greater than or equal to zero.

So the domain of the function is all real numbers greater than zero.

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Answer: 100 pi, or 314.15926...

Step-by-step explanation:

The circumference is 2r pi. r is 10. The area is r squared pi. 10 squared in 100, so 100 pi.

Answer:

18 green eyed dolls and 34 blue eyed dolls

Step-by-step explanation:

Cadence has a total of 52 dolls, either green eyed or blue eyed so lets take the number of green eyed dolls as g and the number of blue eyed dolls as b. So you have

b + g = 52

also we know b is 16 greater than g so

b - 16 = g

transpose 16 & g

b - g = 16

Now we add the equations

b+g = 52

b-g = 16

______

2b = 68

(+g and -g cancel each other out)

so b = 34

If we put 34 into an earlier equation

34 + g = 52

g = 52 - 34

g= 18

Answer: 3.7

Step-by-step explanation: 15.9-12.2=3.7

The value of 'x' is 60.

We are given with [tex]\frac{-5}{6}x-\frac{-7}{30}x+\frac{1}{5}x=-52[/tex]

⇒ [tex]\frac{-25x-7x+6x}{30}=-52[/tex]

⇒ [tex]\frac{-26x}{30}=-52[/tex]

⇒ [tex]x = 2 \times 30[/tex]

[tex]\therefore x=60[/tex]

So the value of 'x' is 60.

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Answer:

I believe it is C.

Step-by-step explanation:

By solving the equation 5[(46 - 14) / 4] we will get 40 as the answer

What is BODMAS?

The abbreviation BODMAS is used to assist pupils recall the order of mathematical operations - the right sequence in which to solve maths problems. BODMAS is an acronym that stands for B-Brackets, O-Orders (powers/exponents or roots), D-Division, M-Multiplication, A-Addition, and S-Subtraction.

Solution:

5[(46 - 14) / 4]

We will solve the round brackets first

5[ 32 / 4 ]

Now we will solve the square bracket

5 * 8 = 40

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The balloon will be collapsed due to the excess pressure.

if we press on a balloon that is already filled by air stretched over the jar, the air of the jar will enter the balloon and create excess pressure beyond its tolerance and finally the balloon will be collapsed.

as the air-filled balloon is pressed directly over a jar, there is no way to leakage of air, besides the air of jar enter the balloon causes high pressure on the wall of balloon and finally it is destroyed. The result represents the presence of gases inside any empty bottle as well as any jar.

hence, we understand that every empty jar or bottle has gaseous substances with them.

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By using the concept of probability, it can be calculated that-

P(F|E) = [tex]\frac{P(F \ and \ E)}{P(E)} = \frac{6}{17}[/tex]

What is probability?

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probability of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

Here P(F|E) means probability of happening of event F knowing event E will happen

P(E) = 0.85, P(F) = 0.40, and P(E and F) = 0.30.

P(F|E) = [tex]\frac{P(F \ and \ E)}{P(E)} = \frac{0.30}{0.85} = \frac{6}{17}[/tex]

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The probability that the first failed inspection occurs on Fatima's 5th inspection i.e P(c = 5) is 0.05..

In probability and statistics,the geometric distribution defines the probability of the first success occurring after k trials. The probability of success is p

P r ( X = k ) = ( 1 − p )⁽ᵏ⁻¹⁾ p.

We have given that,

An emissions inspections on cars is conducted by Fatima.

Probability that car fail the inspection, p = 6% = 0.06

let c denoted the number of cars that are inspected until one car fail to inspection.

The random variable c here. Here c follow geometric probability distribution with probability of success (0.06).

Plugging all known values in above formula we get, p(c= 5) = (1-0.06)⁴ × 0.06

= (0.94)⁴ (0.06)

=0.0468449376~ 0.05

so, the answer is 0.05

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Complete question:

Fatima conducts emissions inspections on cars. She finds that 6%, percent of the cars fail the inspection. Let C be the number of cars Fatima inspects until a car fails an inspection. Assume that the results of each inspection are independent.

Required:

Find the probability that the first failed inspection occurs on Fatima's 5th inspection

Using the provided conditions and rule of inequality, The required expression is 11.25x + 14.75 <=80.

Both mathematical phrases, equations and inequalities, are created by connecting two expressions.

The Different Types of Equations are:

x= number of friends

Total parking cost = 14.75

Total ticket cost =11.25x

Total money = 80

Since, The total money to be spend can't cross $80, The inequality is given by 11.25x + 14.75 <= 80

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If the scale of drawing is 1 inches : 250 inche and the real horse height is 15 inche, then the height of the horse in drawing is 0.06 inches.

The ratio that describes the relationship between the true figure itself and model is called the scale. It serves as a representation of the real statistics in smaller units on maps. A scale of 1:5, for instance, indicates that 1 on the map is approximately the size of 5 in the actual world.

The scale of drawing the horse = 1 inch :

Therefore in scale

Horse height in drawing equals one inch

The  height of the horse = 250 inche

The original height of the horse = 15 inche

The height in the picture = x inches

To find the height the horse in the picture, we have to use proportion

1 inch : 250 inche = x inches : 15 inche

1 / 250 = x / 15

1 × 15= 250x

250x = 15

x = 15/250

x = 0.06 inches

Therefore, the height of the horse in drawing is 0.06 inches

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Using the percentage increase formula, we know that the rate of increase in the advertising cost of the company is 93.5%.

In mathematics, a percentage is a number or ratio that is expressed as a fraction of 100.

The percent symbol, "%," is widely used to denote it even if the abbreviations "pct," "pct," and rarely "pc" are also employed.

A% is a number that has neither dimensions nor a defined unit of measurement.

For instance, if you properly answered 75 out of 100 questions on a test, you would have received a 75% grade (75/100).

So, the percentage increase formula:

% increase: original - increase/original * 100

Increase: 76680-72000 - 4680

Now, substitute values as follows:

% increase: original - increase/original * 100

% increase: 72000 - 4680/ 72000* 100

% increase:93.5

Therefore, using the percentage increase formula, we know that the rate of increase in the advertising cost of the company is 93.5%.

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Answer:

1 1/5

Step-by-step explanation:

So first we need to realize that 4/5 can be turned into 8/10. Plus since they need 3 cups, not 2 (which we have been provided with the cups for) then we have to split it in half. So it would be 8/10 + 4/10. Which is 12/10 or 1 2/10 or 1 1/5

Hope this makes sense!!!

The system of Linear Equation has Infinitely Many Solutions

What is Linear Equation in Two Variables?

A linear equation in two variables is one that is stated in the form ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.

Solution:

To check the numebr we need to find the vaules of

a1/a2, b1/b2, c1/c2

a1/a2 = -3/-6 = 1/2

b1/b2 = 4/8 = 1/2

c1/c2 = -5/-10 = 1/2

Since the values of a1/a2 = b1/b2 = c1/c2

Theerefore, the system of Linear Equation has Infinitely Many Solutions

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The product to the nearest whole number is equivalent to zero.

Given is to write the product (0.7 x 0.85) to the nearest whole number.

We have the product as -

0.7 x 0.85

(7/10) x (85/100)

(7/10) x (17/100)

119/1000

0.119

0.12

0.1

0

Therefore, the product to the nearest whole number is equivalent to zero.

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Answer:

The correct answer is B. looking for work/total work force.

Unemployment rates are typically calculated by dividing the number of people who are looking for work by the total work force. The work force includes all people who are currently employed or actively looking for work, regardless of whether they are currently employed. The number of people who are looking for work is determined by surveying individuals and asking them whether they are currently seeking employment. The unemployment rate is then calculated by dividing the number of people who are looking for work by the total work force, and expressing this as a percentage.

The other answer choices are not accurate ways of calculating unemployment rates. Dividing the total work force by the number of layoffs (A) would not give an accurate measure of unemployment, as it would not account for people who are looking for work but have not been laid off. Dividing the number of people looking for work by the total population (C) would also not be an accurate way of calculating unemployment, as it would not take into account people who are not part of the work force (e.g. children, retirees, etc.). Therefore, the correct method for calculating unemployment rates is to divide the number of people looking for work by the total work force.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The unemployment rate for any area is the number of area residents without a job and looking for work divided by the total number of area residents in the labor force.

Here AAS  means Angle-Angle-Side whereas ASA means Angle-Side -Angle.

Here AAS stands for Angle-Angle-Side it depicts that when two angles and a non-included side of a triangle are equal to the comparing angles and sides of another triangle, at that point the triangles are said to be congruent. whereas the ASA stands Angle-Side-Angle, where  If any two angles and the side included between the angles of one triangle are identical to the comparing two angles and side included between the angles of the second triangle, at that point, the two triangles are said to be consistent by ASA rule.

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The linear equation 8(u + 6) = 24 has a solution of u = -3

A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line.

In the given question, we are required to solve the linear equation following some steps.

Step one

8(u + 6) = 24

This is the given equation

Step two

8u + 48 = 24

This done using distributive property

Step Three

8u + 48 - 48 = 24  - 48

This is done using subtraction property

Step four

8u = -24

This done using collection of like terms

Step five

8u / 8 = -24 / 8

This is done using division property

u = -3

This is the answer to the question

The solution of the linear equation is - 3

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Answer:

To write a system of inequalities that has the point (6, 6) as a solution but not (6, -6), we can use the fact that the point (6, 6) is above the graph of the quadratic function, but the point (6, -6) is below the graph. Therefore, we can write a system of inequalities that includes the condition that the y-value must be greater than the value of the quadratic function at a given x-value.

For example, we could use the quadratic function y = x^2 and write the following system of inequalities:

y > x^2

y > 6

The first inequality states that the y-value must be greater than the value of the quadratic function at a given x-value. The second inequality is added to ensure that the y-value is greater than 6, which is necessary for the point (6, 6) to be a solution.

Since the point (6, 6) satisfies both of these inequalities, it is a solution to the system. However, the point (6, -6) does not satisfy the first inequality, since the y-value is less than the value of the quadratic function at x = 6. Therefore, it is not a solution to the system.

Overall, the system of inequalities would be as follows:

y > x^2

y > 6

Angle of elevation for the tree grows an additional 10 feet, what is the new angle of elevation from the point 25 feet is angle of elevation 47.1 degree.

Angle of elevation is the elevation in the height of angles from a given points.

Length of tree = 10 feet

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Using logical reasoning, we can say that (C) Kaylon is wrong because the shaded temperature is -° according to the given image.

In addition to formal deduction, two more categories of logical thinking are frequently distinguished: induction and abduction.

The following can be explained if one has a precondition or premise, a conclusion or logical consequence, and a rule or material conditional that indicates the conclusion given the precondition.

Mathematical logic and philosophical logic are frequently used to support the claim that "when it rains, objects outside become wet.

The grass is outside, therefore: when it rains, the grass gets wet."

A finding of the rule is supported by inductive reasoning.

So, according to the given, we can easily guess that Kaylon is wrong because the shaded temperature is -°.

Therefore, using logical reasoning, we can say that (C) Kaylon is wrong because the shaded temperature is -° according to the given image.

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The function f(x) = -7x + 22 and g(x) is f(x) translated up 5 thus option (D) is correct.

Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.

Reflection is a mirror image of a graph about any axis.

If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).

As per the given table,

The function f(x) = -7x + 22 is satisfying the table.

For example at x = 2

f(2) = -7 x 2 + 22 = 8

Now, since, g(x) = f(x) + 5 thus g(x) is translated up to 5 units.

Hence "The formula f(x) = -7x + 22 and the translation of f(x) up 5 is g(x).".

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Answer:

Subtract

5

x

from both sides of the equation.

3

x

2

+

4

−

5

x

=

0

Once the quadratic is in standard form, the values of

a

,

b

, and

c

can be found.

a

x

2

+

b

x

+

c

Use the standard form of the equation to find

a

,

b

, and

c

for this quadratic.

a

=

3

,

b

=

−

5

,

c

=

4

Step-by-step explanation:

Solve the equation for

x

by finding

a

,

b

, and

c

of the quadratic then applying the quadratic formula.

x

=

5

±

i

√

23

6

The solution range of the inequality {5x+7<3  and  3x-4>11} to is in range : x < -4/5 or x > 5.

Given are the following inequalities -

5x+7<3  and  3x-4>11

We have -

5x + 7 < 3

5x < - 4

x < -4/5

and

3x - 4 > 11

3x > 15

x > 5

So, we can write the solution of the inequality as -

x < -4/5 or x > 5

Therefore, the solution to the inequality is in range : x < -4/5 or x > 5.

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Answer:

1

Step-by-step explanation:

41 is prime, so its only factors are 1 and 41.

Since 1 is a factor of 78 but 41 isn't a factor of 78, the greatest common factor is 1.