Find the equation of the straight the line which passes through the point (3, 2) and cuts off equal intercepts on the axes.​

The cube of 5 is 125

We know that the cube of a number is the value that are obtained when a number is multiplied by itself three times.

We can find cubes for any real number.

If p be any real valued number then the cube of p is the product of number p  three times.

i.e., p × p × p

The cube of number is represented by the third power (exponent) of that number.

for above the cube of number 'p' is represented by p³

Here we need to find the cube of number 5.

From definition of cube of number,

5³ = 5 × 5 × 5

5³ = 25 × 5

5³ = 125

Thus the cube of number 5 = 125

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The differences between their ages is equal to 15 years.

Since the ages of two brothers are in the ratio 8:3, the age of the first (1st) brother would be represented by 8x while the age of second (2nd) brother would be represented by 3x.

Note: The variable x represents the age in years.

After 3 years, the age of the first (1st) brother would be represented by 8x + 3. Similarly, the age of second (2nd) brother would be represented by 3x + 3.

Translating the word problem into an algebraic equation by using ratios, we have the following:

(8x + 3)/(3x + 3) = 9/4

4(8x + 3) = 9(3x + 3)

32x + 12 = 27x + 27

32x - 27x = 27 - 12

5x = 15

x = 15/5

x = 3.

Now, we can determine the age of the brothers;

First brother's age = 8x = 8 × 3 = 24 years.

And, 2nd brother's age = 3x = 3 × 3 = 9 years.

For the difference, we have:

Difference = 24 - 9

Difference = 15 years.

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A for loop for print the integers 1 through 40, separated by spaces or new lines is represented by #include <iostream>

using namespace std;

int main(){ for(int count=1;count<=40;count++)

printf(" %d",count);}.

A for loop is a repetition control structure that allows you to efficiently write a loop that needs to execute a specific number of times. The structure for writing the " For loop" in C++ programming ,

#include <iostream> using namespace std; int main() { for (int i = 1; i <= 5; ++i) { cout << i << " "; } return 0; } .

We have to print the integers 1 through 40, separated by spaces or new lines. You may use only one variable, count which has already been declared as an integer. The required for-loop is written as the following: Input :

#include <iostream>

using namespace std;

int main(){

for(int count=1;count<=40;count++)

printf(" %d",count);}

Output : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40

The for-loop description-

Hence, the required program code is founded.

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Answer:

Yes

Step-by-step explanation:

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To determine a parabola's equation, we can utilize the vertex form. The aim is to formulate a graph's equation in the form y=a(xh)^2+k using the coordinates of its vertex, or maximum or minimum point.

Assuming we can get the coordinates (h,k) from the graph), and then to determine the value of the coefficient a. It is done by writing a quadratic equation in vertex form, which is y=a(x-h)^2+k, where (h,k) is the vertex of the parabola.

The top or bottom point of a parabola is known as its vertex.

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Answer:

-30 < s

Step-by-step explanation:

16 > -14 - s

30 > -s

Divided by negative. Because divided by negative, the > will switch to be <

So, the answer is

-30 < s

or

s > -30

Answer:

31kg will cost $ 182.9

Step-by-step explanation:

If 18kg = $106.20

than 31kg = ?

= 31kg/18kg × $106.20

= 3,292.2 /18

=$182.9

Since there are two complex conjugates as the roots of the quadratic equation 5x2 4x 3 0 there is no way to describe them in terms of real integers.

The roots can only be roughly calculated because they are irrational numbers.

Two complex conjugates, which are unable to be expressed in terms of real numbers, make up the roots of the quadratic equation 5x2 4x 3 0. Using the quadratic formula, the roots can be discovered. The coefficients of the equation are necessary for the formula, and in this example, they are a=5, b=4, and c=3. When the quadratic formula is used, two complex roots are produced, denoted by the expressions x1 = -1/5 + (16)/5i and x2 = -1/5 - (16)/5i. Since their roots are irrational integers, they can only be roughly calculated. When b2-4ac, the discriminant, is negative, complex roots are frequently discovered. The discriminant in this situation is -64, which is negative and shows that the equation has complex roots.

Inequality = b2-4ac = 42-4(5)(3) = -64.

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Full Question = What is the nature of the roots of the quadratic equation  5x2 – 4x + 1 = 0?

The intensity of an earthquake that measures 3 on the Richter scale than and earthquake that measures 1 is 31*2 times greater.

Every whole number measurement releases energy that is around 31 times more than the previous whole number measurement. A magnitude 2 earthquake is thus 31 times more violent than a magnitude 1 earthquake, for instance.

The Richter scale, also known as the Richter's magnitude scale, Richter's scale, and the Gutenberg-Richter scale, was created by Charles Francis Richter and first published in his seminal 1935 paper under the name "magnitude scale." Charles Richter created the base-10 logarithmic Richter scale in the 1930s.

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The First Postal Stamp of Pakistan was issued on 9th July, 1948, was designed by Abdul Rehman Cughtai and approved by Quaid-i-Azam on the occasion of the first Independence Day and was adjudged as one of the most beautiful stamps of the world.

Due to the lack of a local press, Pakistan's initial stamps were printed by Thomas De La Rue in London. In 1949, the Pakistan Security Printing Corporation was set up in Malir Halt, Karachi. The first set printed entirely by this press was the 1954 Seventh Anniversary issue.

Title: First Stamp of Pakistan

Creator: Abdul Rehman Cughtai

Date Created: 1948

Physical Location: State Bank Museum & Art Gallery

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1/3 of the bag would be eaten by both cats in 2 minutes while 5/6 of the bag would be eaten by both cats in 5 minutes.

An equation is an expression showing the relationship between numbers and variables.

One little cat can eat a bag of treats in 15 minutes while another cat can eat the same bag of treats in 10 minutes.

a) In 2 minutes:

Part of bag eaten = (1/15 minutes) * 2 minutes + (1/10 minutes) * 2 minutes = 1/3

1/3 of the bag would be eaten by both cats in 2 minutes.

b) In 5 minutes:

Part of bag eaten = (1/15 minutes) * 5 minutes + (1/10 minutes) * 5 minutes = 5/6

5/6 of the bag would be eaten by both cats in 5 minutes.

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Answer:

Hexagon

Step-by-step explanation

A hexagon can be defined as a closed two-dimensional polygon with six sides. Hexagon has 6 vertices and 6 angles also. Hexa means six and gonia means angles

If the squares of the two shorter sides add up to the square of the hypotenuse, the triangle contains a right angle.

Sidewalks must be at least 6.0 feet wide at the curb face or 5.0 feet wide if set back from the curb. The basic standards for people with impairments are not met by any width that is smaller. The social activity of walking.

500 feet must separate any two people in order for them to be able to stroll side by side. If the hypotenuse and one of the right triangle's sides equals the hypotenuse and the corresponding side of the second right-angled triangle, the two triangles are said to be congruent to one another.

The triangles are congruent if their included sides are congruent and two of their angles match two of the other triangle's angles. 

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The account will be worth $215,958.88 after 3 years.

The account will be worth $215,958.88 after 3 years. This can be calculated by using the formula: A = P(1 + r/n)^(nt) where A is the final amount, P is the initial principal (or balance) of $165,000, r is the annual interest rate of 8%, n is the number of times that interest is compounded per year (annually in this case, so n = 1), and t is the number of years the money is invested for (3 in this case).

Plugging these values into the formula: A = 165,000(1 + .08/1)^(1*3) = 215,958.88.

The subject you are asking about is called compound interest. Compound interest is a concept related to finance and economics. It is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods. It is often used in personal finance, such as in savings and retirement accounts, as well as in business and investment contexts.

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These the five sentence about the most important thing to learn about the software engineer career:

Software engineer is a branch of computer engineer science that mainly work to create, secure and manipulating a software. The career on this field mostly start from :

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The inverse of a function "swaps" the x and y values of the original function. To find the inverse of f(x) = 9x², we need to switch the x and y values and solve for x in terms of y:

y = 9x²

To find the inverse function we must isolate x.

x = √(y/9)

So the inverse of the function f(x) = 9x², x ≤ 0 is f^-1(x) = √(x/9), x ≤ 0.

Answer:

[tex]f^{-1}(x)=\dfrac{\sqrt{x}}{3}, \quad x \leq0[/tex]

Step-by-step explanation:

Given function:

[tex]f(x)=9x^2[/tex]

The domain of the given function is restricted:  {x : x ≤ 0}

The range of the given function is restricted:  {f(x) : f(x) ≤ 0}

To find the inverse of a function, swap x and y:

[tex]\implies x=9y^2[/tex]

Rearrange the equation to make y the subject:

[tex]\implies x=3^2y^2[/tex]

[tex]\implies x=(3y)^2[/tex]

[tex]\implies \pm\sqrt{x}=3y[/tex]

[tex]\implies y=\dfrac{\pm\sqrt{x}}{3}[/tex]

As x ≤ 0 then:

[tex]\implies y=\dfrac{\sqrt{x}}{3}[/tex]

Replace y with f⁻¹(x):

[tex]\implies f^{-1}(x)=\dfrac{\sqrt{x}}{3}[/tex]

The domain of the inverse of a function is the same as the range of the original function.  Therefore, the domain of the inverse function is restricted to {x : x ≤ 0}.

If UV = x and TW = x+99 ,using triangle proportional theorem, then the value of x is 99

Triangle proportion theorem states that if a line is drawn parallel to any one side of a triangle so that it intersects the other two sides in two distinct points, then the other two sides of the triangle are divided in the same ratio.

since TU = TS and S W = VW. This show that triangle SUV is an isosceles triangle

then TW / UV = 1/2

therefore x/-x+99 = 1/2

2x = -x+99

Collect like terms

2x- x = 99

x= 99

therefore the value of x is 99

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Answer:

0

Step-by-step explanation:

As the die is fair the maximum number you can get on each die is 6 so even if we get both die's to roll on its maximum (6, 6) we still won't get a number above 12, so the probability of getting a number above 12 is impossible.

The lower quartile is the value at the edge of the box on the lower edge of the box, 62 in this case.

The upper quartile would be 67, since that's the upper edge of the box.

12a2b = 2  2  3 a a b b; 15ab2 = 3  5 a b b b. The factors 3, a, and b are shared by the two terms. This demonstrates that the given expression's factors are a, b, and (4a + 5b).

We can deduce from the problem's options that (4a-5) is not a factor of the given expression.

12 is the highest-common factor between 12 and 36. However, neither the 12x nor the 36 given monomials contain any common literal. 12 is the most common factor.

In mathematics, factorization or factoring is defined as the breakdown or decomposition of an entity—such as a number, matrice, or polynomial—into another product or common factors that yield the original number or matrix when repeated together, among other things.

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Answer:

22

Step-by-step explanation:

n + (n+1 )+( n+2) = 69

3n+3 =69

3n=66

n=66/3

n=22

Answer:

first number is 21

second number 23

third number 25.

Step-by-step explanation:

The sum of three consecutive numbers is 69

Let the first number be n

the second number be 2 + n

the third number be 4 + n

n + (2 + n) + (4 + n) = 69

=n + n + n + 2 +4 = 69

=3n + 6 = 69

=3n = 69 - 6

=3n = 63

=3n/3 = 63/3

n = 21

therefore the first number n = 21

the second number 2 + n = 2 + 21 = 23.

the third number 4 + n = 4 + 21 = 25.

Despite the amount of money she has spent, she has driven a total of 19,214 miles this year.

Amount is a term that can be used to refer to a quantity or number of something. It is often used to refer to a sum of money, such as when people talk about the amount of money they make or owe. Amount can also be used to refer to a quantity of something, such as the amount of water in a tank or the amount of time it takes to do a task.

Nina Karas has experienced an overall decrease in the value of her car since she purchased it three years ago. Despite this, she has incurred a number of variable costs this year that have added up to a considerable sum. For example, she has spent $2,524.90 on gasoline, $145.21 on oil and filters, $65.45 on a new battery, and $981.33 on transmission repairs. Furthermore, Nina has paid $1,546.00 in insurance premiums, $114.95 for her registration, and $457.88 in loan interest. Despite the amount of money she has spent, she has driven a total of 19,214 miles this year.

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Answer: C. 3/11

Step-by-step explanation:

first add up all the flowers so 3 roses, 4 daisies, and 4 lilies, 3 +4 + 4 = 11. if only one flower is pink, and there are 3 roses, then there's a 3/11 chance its a rose.

The process to sketch the graph of y =  absolute value x is explained below .

What is Absolute Value ?

The absolute value of a number is the distance of the number from origin of a number line. It is denoted as |a|, which defines the magnitude of any integer "a". Absolute Value is represented by two vertical lines "|a|" , which is called as modulus of a .

we have to sketch the graph of the absolute function given as ; y = |x| ;

put x = -2 , we get ⇒ y = 2 ;

put x = 2 , we get ⇒ y = 2 ;

we see that if we put any value of "x" , positive or negative , the result "y" will always be positive .

Therefore , the graph of the function will be a V shaped graph facing upwards .

The given question is incomplete , the complete question is

How do you graph y =  absolute value x ?

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The table representing a proportional relationship is given as follows:

x −3 0 3

y −2 0 2

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

From the definition, we get that a proportional relationship is a linear function with an intercept of zero, meaning that when x = 0, y = 0.

This means that the correct table is given by the last table, as for the other tables, y has values different of zero when x = 0.

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Answer: The answer is the last one D.

Step-by-step explanation:

Answer:

462

Step-by-step explanation:

6×7×10×6 is how you do it

Answer:Hi there the answer is in quizlet is another page :)

Step-by-step explanation:

The triangles are comparable to one another if the ratio of their corresponding sides is the same. Triangles ABC, GHI, and JKL all have an approximately equal number of corresponding sides. Triangle ABC, JKL, and GHI are hence comparable to one another.

Similar triangles may not necessarily need to have equal sides, but they do require that all of the angles match.Triangles are comparable to one another if their corresponding sides have lengths that are in the same ratio.

Therefore, Triangles ABC and GHI are comparable to one another because their sides are proportional to one another.Triangles ABC and JKL have sides that are proportionate to one another, hence they resemble one another.

Triangles JKL and GHI are comparable to one another.

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Answer:120

Step-by-step explanation:

given x= 3 and y= 8,

we have to find the value of 5xy

so let us put the values of x and y in the given expression i.e 5xy.2

= 5×3×8

= 120

 Hence the value of 5 xy is 120.

Answer:

Step-by-step explanation:

If x = 3 and y = 8, then the value of 5xy is simply 5 times the product of x and y.

To find the product of x and y, we simply multiply x and y together:

xy = 3 * 8 = 24

To find the value of 5xy, we simply multiply 5 by the value of xy:

5xy = 5 * 24 = 120

So the value of 5xy when x = 3 and y = 8 is 120