The pie chart represents the results when 120 people in a shopping centre were asked which country they were born in.

What fraction of people were born in France?
Give your answer in its simplest form.

To calculate the distance between two places, we can apply the distance formula d=((x2 - x1)² + (y2 - y1)²).

The distance of an object is its overall motion, regardless of direction.

Distance is the amount of space that an object has covered, regardless of where it began or concluded.

By understanding how far an object is from us, we may calculate its actual size.

It is possible to calculate the area that an object takes up in the sky.

The actual size of an object can then be determined by taking into account its distance.

The further away something is, the smaller it appears.

The distance between two locations on a plane is the length of the line segment connecting them.

The formula d=((x2 - x1)2 + (y2 - y1)2) is frequently used to calculate the separation between two points.

Therefore, to calculate the distance between two places, we can apply the distance formula d=((x2 - x1)² + (y2 - y1)²).

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Answer:2350 million

Step-by-step explanation:

hope this helps

Therefore , the solution of the question is given by the theorem of

constant proportionality comes out to be 1.5 .

The proportion between any directly proportional quantities is the proportionality constant. If the growth and decline of two quantities occur at the same rates, they are directly proportional. When two quantities, y and x, are approximately equal to one another, the proportionality constant, k, is equal to their product, y/x.

Here,

Given :

=> original price : $15 ,$25,$35

=> sale price: $10,$20,$30

To find the proportional relationship :

=> 15/10 =1.5

=> 25/20 = 5/4 = 1.25

=> 35/30 = 7/6 = 1.16

Therefore , the solution of the given problem of constant proportionality comes out to be 1.5 .

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The next two varieties of field daisy have 55 and 89 petals.

We know that the Fibonacci Sequence is the series of numbers such that:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ...

Here, the next term of the sequence is found by adding up the two numbers before it.

For exa., the fourth term 2 is the sum of (1+1),

the fifth term 3 is the sum of (1+2)

In this question the numbers of petals of field daisies follow a Fibonacci sequence.

The three varieties have 13, 21, and 34 petals.

The next variety of field daisy would be the sum of 21 and 34

21 + 34 = 55

And the fifth variety of field daisy would be the sum of 34 and 55

34 + 55 = 89

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If we multiply monomial and binomial, then it is become polynomial.

Perfect Squares: The Square of a Difference Squaring a binomial every time results in a trinomial.

In other words, if we find the product of 6 and 3 by simply calculating 6 times 3 which equals 18.

A monomial is a statement of the form k⋅xⁿ, where k is a real number and n is a positive integer. It is essentially a polynomial with a single term.

When we are multiplying two monomials, we can rewrite the product as a single monomial using properties of multiplication and exponents.

A polynomial equation with two terms normally joined by a plus or minus sign is called a binomial.

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There are  [tex]8^5\\[/tex] cubes in the Container.

Exponents and powers are ways used to represent very large numbers or very small numbers in a simplified manner.

For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as [tex]3^4[/tex], where 4 is the exponent and 3 is the base.

Given:

Volume of Container = [tex]8^7[/tex] cm³

Volume of Each cube = 8² cm³

So, the number of cubes in the container

= Volume of Container / Volume of Each cube

=  [tex]8^7[/tex] cm³ / 8² cm³

Now, using Exponents property

[tex]a^m / a^n= a^{m-n[/tex]

Then, number of cubes in the container

=  [tex]8^7[/tex] cm³ / 8² cm³

= [tex]8^{7-2[/tex]

= [tex]8^5\\[/tex]

Hence, the number of cubes are  [tex]8^5\\[/tex].

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Answer:

[tex]\bf x=4[/tex]

Step-by-step explanation:

[tex]\bf 5x+2=22[/tex]

Subtract 2 from both sides:-

[tex]\bf 5x+2-2=22-2[/tex]

[tex]\sf 5x=20[/tex]

Divide both sides by 5:-

[tex]\bf \cfrac{5x}{5}=\cfrac{20}{5}[/tex]

[tex]\bf x=4[/tex]

Therefore, value of x is 4!

______________________

Hope this helps!

Have a great day!

Answer: X= 4

Step-by-step explanation:

Just minus 2 on both sides so you get 5x=20. divide by 5 and then you get 4.

The formula of the arithmetic progression for the sequence 19, 15, 11, 7 is a(n) = 19 - 4 · (n - 1), whose recursive formula is a(n) = 19 - 4 · (n - 1), a₁ = 19.

Arithmetic progressions are sets of values generated by an expression of the form:

a(n) = a₁ + r · (n - 1)

Where:

And the recursive formula is:

a(n) = r · a(n - 1)

Where a(n - 1) is the n-1 th term of the sequence.

First, determine the first element of the sequence:

a₁ = 19

Second, find the common difference:

r = a₂ - a₁

r = 15 - 19

r = - 4

Third, write the complete formula for the arithmetic progression:

a(n) = 19 - 4 · (n - 1)

Fourth, write the recursive formula:

a(n) = a(n - 1) - 4

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Answer:

no, the origin is located at 0,0

Answer: Lola is incorrect. The two expressions have different values.

Expression A is (a/b)^(-4)^0 which is equal to 1, since any non-zero number raised to the power of 0 is 1.

Expression B is (a/b)^0^(-4) which is (a/b)^(-4) which is the reciprocal of (a/b)^4. They are different values.

In general, it's important to be careful with the order of operations when working with exponents and to be aware of the difference between a^b^c and (a^b)^c or a^(b*c) depending on the context.

Step-by-step explanation:

Answer: 8x^3yz^4(3xy^2-4z)

Step-by-step explanation:

Factor out the greatest common factor: [tex]8[/tex]

8 x 3 = 24
8 x 4 = 32

Factor out the smallest powers from both sides: [tex]x^3 yz^4[/tex]

Leave the remaining x, y, and z values

[tex]8x^3yz^4(3xy^2-4z)[/tex]

The value of B+U+S+T+E+D is 20. B represents the number 2, U represents the number 3, S represents the number 19, T represents the number 20, E represents the number 5, and D represents the number 4. When these numbers are added together, they equal 20.

BUSTED is an acronym for 'Believing Uncovering Solving Troubles Everywhere Dynamicly'. It is a popular phrase used by the characters in the Scooby-Doo cartoons. It is a phrase used to express the moment when the mystery is solved and the bad guy is caught.

BUSTED is an important part of the Scooby-Doo cartoon series. It expresses the moment when the mystery is solved and the bad guy is caught. It is also a great way to encourage children to believe in themselves and to use their own detective skills to solve a mystery. The value of B+U+S+T+E+D is 20, and it is a fun way to teach kids math and problem solving skills.

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The first one 10xy is a monomiał, it is a product of one non-negative integer power of x and one non-negative integer power of y.

What do math monomials mean?

A monomial is a polynomial with a single term. A monomial is a type of algebraic expression that normally contains one term, though it can potentially include several variables and a higher degree. For example, 9x3yz is a single term when 9 is the coefficient, x, y, and z are the variables, and 3 is the degree of the monomial.

The second one 35x-3 is not a monomiał, it is a polynomial with one variable x and an exponent of 1 and a constant term -3.

The third one -300.25 is a monomial, it's a product of one non-negative integer power of -300.25

The fourth one √xy is not a monomial, it is a product of a square root and a variable y, which is not a non-negative integer power.

The last one 11 is a monomial, it's a product of one non-negative integer power of 11.

So the monomials are: 10xy, -300.25, 11

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The unit vector that lies in the xy plane at an angle of 155 degrees from the x axis with a positive y component is (0.4237, 0.9055).

A unit vector is a vector with a magnitude of 1. To find the unit vector that lies in the xy plane at an angle of 155 degrees from the x axis with a positive y component, we can use the formula for a two-dimensional vector in polar coordinates:

r = (cos(θ), sin(θ))

where r is the unit vector, θ is the angle in radians, and cos(θ) and sin(θ) are the x and y components, respectively.

First, we need to convert the angle from degrees to radians:

θ = 155° * (π / 180°) = 2.68 radians

Next, we can plug in the values into the formula:

r = (cos(2.68), sin(2.68)) = (0.4237, 0.9055)

So, the unit vector that lies in the xy plane at an angle of 155 degrees from the x axis with a positive y component is (0.4237, 0.9055).

To summarize, the process for finding a unit vector in the xy plane at an angle from the x axis is:

Convert the angle from degrees to radians

Use the formula for a two-dimensional vector in polar coordinates: r = (cos(θ), sin(θ))

Plug in the values into the formula to find the unit vector

Note: Keep in mind that the angle of a unit vector is relative to the positive x axis, with positive angles going counterclockwise and negative angles going clockwise.

Therefore, The unit vector that lies in the xy plane at an angle of 155 degrees from the x axis with a positive y component is (0.4237, 0.9055).

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The unit vector that lies in the xy plane at an angle of 155 degrees from the x axis with a positive y component is (0.4237, 0.9055).

A unit vector is a vector with a magnitude of 1. To find the unit vector that lies in the xy plane at an angle of 155 degrees from the x axis with a positive y component, we can use the formula for a two-dimensional vector in polar coordinates:

r = (cos(θ), sin(θ))

where r is the unit vector, θ is the angle in radians, and cos(θ) and sin(θ) are the x and y components, respectively.

First, we need to convert the angle from degrees to radians:

θ = 155° * (π / 180°) = 2.68 radians

Next, we can plug in the values into the formula:

r = (cos(2.68), sin(2.68)) = (0.4237, 0.9055)

So, the unit vector that lies in the xy plane at an angle of 155 degrees from the x axis with a positive y component is (0.4237, 0.9055).

To summarize, the process for finding a unit vector in the xy plane at an angle from the x axis is:

Convert the angle from degrees to radians

Use the formula for a two-dimensional vector in polar coordinates: r = (cos(θ), sin(θ))

Plug in the values into the formula to find the unit vector

Note: Keep in mind that the angle of a unit vector is relative to the positive x axis, with positive angles going counterclockwise and negative angles going clockwise.

Therefore, The unit vector that lies in the xy plane at an angle of 155 degrees from the x axis with a positive y component is (0.4237, 0.9055).

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Answer:

67.75

Step-by-step explanation:

[tex]84.95 - 2.15 \cdot (3.91 - 1.91)^3[/tex]

[tex]3.91-1.91=2[/tex]

[tex]2^3=8[/tex]

[tex]2.15\cdot8=17.2[/tex]

[tex]84.95 -17.2=67.75[/tex]

So, the final answer is 67.75

An equation of the line that passes through the points (- 4, 7) and (2, 8) is 6y = x + 31.

In the given question, we have to find an equation of the line that passes through the points (- 4, 7) and (2, 8).

The point-slope approach is typically used when two points that sit on a specific line are specified.

A line's equation is written as y - y(1) = m(x - x(1)), where y(1) is the Y-axis coordinate, m is the slope, and x(1) is the X-axis coordinate.

Firstly we find the value of m using the formula

m = [tex]\frac{y(2)-y(1)}{x(2)-x(1)}[/tex]

From the given points x(1) = -4, y(1) = 7, x(2) = 2, y(2) = 8.

Now putting the value

m = [tex]\frac{8-7}{2-(-4)}[/tex]

Now solving

m = [tex]\frac{1}{2+4}[/tex]

m = [tex]\frac{1}{6}[/tex]

Now we finding the equation of line. We can use any one point in the given points.

Now taking the points (2, 8), x(1) = 2 and y(1) = 8

Now putting the value in equation y - y(1) = m(x - x(1)).

y - 2 = [tex]\frac{1}{6}[/tex](x - 8)

Multiply by 6 on both side, we get

6(y - 6) = x - 5

6y - 36 = x - 5

Add 36 on both side, we get

6y = x + 31

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The complete question is:

What is an equation of the line that passes through the points (- 4, 7) and (2, 8)?

Answer: Yes, answer is 15

Step-by-step explanation:

Another way to look at this is 50% of 30, or just 1/2 of 30.

The average of height of x girls and y boys with m and n height is (mx + ny)/(x + y).

The average of any value is calculated by the formula -

Average = sum of the height of students ÷ total number of students

Based on mentioned information, the average can be calculated through individually calculating numerator and denominator.

Sum of the heights of girls in a class = m × x

Sum of the height of boys in a class = n × y

Total number of students in a class = x + y

Keep the value in formula -

Average = (mx + ny)/(x + y)

Thus, average height is (mx + ny)/(x + y).

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-112°  =  1.95 units clockwise. This can be solved using the concept of central angle.

Correct option is: d

A circle's central angle is the angle formed by two of its radii. The circle's two places of intersection (Note: The opposite end of the radii meets at the circle's centre) together make up a section known as the arc Length.

A central angle is an angle whose legs (sides) are radii intersecting the circle at two different places, A and B, and whose apex (vertex) is the center O of a circle. The central angle is the angle created by the two radii of the circle. A 360° angle is completed by the circle. A circle's central angle has a value between 0 and 360°.

For the given central angle,

-112°  = d 1.95 units clockwise

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Therefore , the solution of the given problem of function comes out to be  $33 will be the price of haircut in 1997.

Mathematics is a science that investigates numbers, their variations, mathematics and the local tissues, shapes, and the both their actual and potential placements. Function describes the connection between a collection of inputs, each of which has an associated output. A function is an association domain of inputs that results in a single, distinctive output for each input. Each function is given a city or municipality or a scope, often known as a realm.

Here,

Given : c = 2y + 29

where c is the typical cost of the a haircut and

y is the number of years since 1995.

For the model, the slope is 2.

It implies that starting in 1995,

the average price of a haircut will rise by 2 each year.

=>1995 has y=0 and a cost of 29.

=> 1996's y=1 results in a cost of 29+2=31.

=>When y=2 in 1997, the price is 29+4 = 33, and so forth.

Therefore , the solution of the given problem of function comes out to be  $33 will be the price of haircut in 1997.

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The value of x in the figure is 5.

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To find the roots of a quadratic equation by the factorization method, you can use the following steps:

Write the equation in standard form (ax^2 + bx + c = 0)

Factor the equation completely by setting it equal to zero and factoring out the greatest common factor.

Set each factor equal to zero and solve for the roots.

For example, to find the roots of the equation x^2 + 5x + 6 = 0, we can factor it as (x+3)(x+2) = 0.

To find the roots, we set each factor equal to zero and solve for x:

x + 3 = 0, x = -3

x + 2 = 0, x = -2

So the roots of the equation x^2 + 5x + 6 = 0 are -3 and -2.

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a. The value of a is 5500. b. The value of r is 0.92. c. There are 2022 trees still alive till 1st October 2023.

The percentage is defined as a ratio expressed as a fraction of 100.

a) The value of a is 5500.

b) To find the value of r, we can use the equation N = ar where N is the number of trees still alive t years after 1st October 2018. We know that N = 5060 on 1 October 2019, so we can substitute these values into the equation:

5060 = 5500 r

r = 5060/5500

r = 0.92

c) To find the predicted percentage decrease in trees still alive between 1 October 2018 and 1 October 2030, we can use the equation:

[tex]N = ar^t[/tex]

Here a = 5500, r = 0.92 and t = 12

We can now substitute the values, then we get

N = 5500 × (0.92)¹² ≈ 2021.67

N = 2022

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Keep the base constant and multiply the exponents when increasing a base with a power to another power.

The quantity of times a number has been multiplied by itself is known as an exponent. To the third, for instance, is expressed as 23, which signifies that 2 x 2 x 2 = 8. 2 x 3 = 6 and 23 are not equivalent. Don't forget that a number raised to the power of one equals that number. Exponent is the process of representing huge numbers as powers, according to the definition. Accordingly, the exponent describes the number of times a number has been multiplied by itself. Using 6 as an example, multiply it by itself four times, or 6 6 6 6. 64 can be used to represent this.

given

as in: 81 Equals 8. By include exponents, a product of powers with similar bases (the same base number) can be made simpler.

Exponents must be added when multiplying numbers with the same base. Exponents laws. Keep the base constant when multiplying like bases and add the exponents.

When dividing using like bases, keep the base constant and deduct the exponents of the numerator and denominator.

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The 2nd and 3rd terms of the sequence will be 38.5 and 37, respectively.

A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.

Let a₁ be the first term and d be a common difference.

Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The first term is 40 and the fourth term is 35.5. Then the common difference is given as,

35.5 = 40 + (4 - 1)d

- 4.5 = 3d

d = - 1.5

Then the second term is given as,

a₂ = a₁ + d

a₂ = 40 - 1.5

a₂ = 38.5

Then the third term is given as,

a₃ = a₂ + d

a₃ = 38.5 - 1.5

a₃ = 37

The 2nd and 3rd terms of the sequence will be 38.5 and 37, respectively.

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Number of real solutions of  -4x²- 2x +1=0 is two

The value of x = 3/4 and 1/2

A quadratic equation, or quadratics, is a polynomial equation with a maximum degree of two. It takes the following form: ax²+bx+c = 0.  

The quadratic Formula is the formula that is used to find the roots or solution of a quadratic equation. For the standard quadratic equation, the ax²+bx+c = 0 quadratic formula is given by

Where, Discriminant, d = b²-4ac

8. Given equation -4x²- 2x +1=0  

From the discriminant formula,

Discriminant, d = b² - 4ac

Compare given equation with ax²+ bx + c = 0

=> a = -4, b = -2 and c = 1

Discriminant, d = (-2)² - 4(-4)(1)  

= 4 + 16 = 20  

Since the discriminant is positive, the given equation will have two solutions.

9. 24x² - 30x + 9 = 0

Compare given equation with ax²+ bx + c = 0

=> a = 24, b = -30 and c = 9  

From the quadratic formula x = [-b±√(b²-4ac)]/2a  

x = [- (-30) ±√((-30)²- 4(24) (9)]/2(24)

x = [ 30 ±√900 - 864]/48          

=> x = [ 30 + √900 - 864]/48  and  x = [ 30 - √900 - 864]/48    

=> x = [ 30 + √36]/48  and  x = [ 30 - √36]/48      

=> x = [ 30 + 6]/48  and  x = [ 30 -6]/48      

=> x = [ 36]/48  and  x = [ 24]/48    

=> x = 3/4  and x = 1/2

Therefore,    

Number of real solutions of  -4x²- 2x +1=0 is two

The value of x = 3/4 and 1/2

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Answer:

87

Step-by-step explanation:

it is 887

Therefore , the solution of the given problem of equation comes out to be 8 as it will make equation true.

When the equal letter (=) is used to indicate equality, a math equation like a formula connecting the two claims. Algebraic equations are statements of fact that show the equivalence of many mathematical variables. For instance, the values doc d + 6 or 12 are separated by an equal sign in the formula data logger + 6 = 12. How many syllables each side of each letter corresponds to can be expressed quantitatively. The message of a symbol frequently contradicts itself.

Here,

the formula 4x + 8 = 4x +?

Let's first make the expression simpler.

4x from each side is subtracted.

4x + 8 - 4x = 4x - 4x + ?

8 = ?

From the outcome, we must figure out the undetermined value for any x values that are not 8.

In this scenario, the unknown value can be any other value other than 8.

The needed value for the variable with all values of x must be 8.

There won't be a number after 4x for just single value of x because this is an impossibility.

Therefore , the solution of the given problem of equation comes out to be 8 as it will make equation true.

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To determine the time the power came back on, we need to determine how much time has passed since the power went out and the alarm clock reset where the power came back on at 17.79 hours or 17 hours and 47 minutes (17:47).

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The expected number of defective calculators produced that day is 48.

When a product doesn't meet the quality objective or results in a non-compliant situation, it is considered to be faulty. Based on the total observed items as well as the defective products, you may determine the defective rate. To compute the defect rate on your own, use the following formula. Divide the total number of faulty items by the total number of observed products using the formula. To find the defect rate %, multiply the result by 100.

r = (p / o) × 100

r being the defect rate

P stands for defective goods, and O for all observed goods.

O = P*r = 1600 * 3% = 48

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