A triangle has side lengths 6 cm, 7 cm, and √13 cm. Is this triangle a right triangle? Do these side lengths form a Pythagorean triple? Explain.

To determine the number of ways to assign 7 volunteers to 7 booths for the charity bazaar, we can consider the concept of permutations. Since each volunteer must be assigned to a different booth, we are essentially permuting the volunteers among the booths.

The number of ways to arrange 7 volunteers into 7 distinct booths can be calculated using the factorial function. The factorial of a number n, denoted as n!, represents the product of all positive integers from 1 to n.

In this case, we have 7 volunteers and 7 booths, so we need to calculate 7!.

7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5,040

Therefore, the correct answer is C. There are 5,040 ways to assign 7 volunteers to 7 booths for the charity bazaar. Each arrangement represents a unique assignment of volunteers to booths, ensuring that each volunteer is assigned to a different booth.

It is worth noting that the factorial function grows rapidly as the number increases. In this case, with 7 volunteers and 7 booths, the number of possible arrangements is quite large.

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The equation of the level curve described above that contains the points (3,5) is -2u/[u + v]²

F(x1, y1)  = = √[x² + y²]

contains

f(3, 5)

F(3, 5) = √(3² + 5²)

= √34

= 5.83095

g(u,v) = [u-v]/[u+v]

gu = [(1) (u + v) - (u-v) (1)]/(u+v)²

= 2v/(u+v)²

gv =  [(-1) (u + v) - (u-v) (1)]/(u+v)²

= -2u/(u + v)²

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Full Question:

Find an equation of the level curve of f(x y) = √x² + y² that contains the point (3, 5)

Step-by-step explanation:

So if you are 7 and a half miles away, and you drive 30 miles per hour, you need to take 7.5 and divide it by it by 30 and you get 0.25, you then need to find what is a quarter (0.25) of 60 minutes, and you will find that it is 15 minutes.

So:

Answer:

The route will take 15 minutes to get to work taking the back roads.

Hope this helps!

Step-by-step explanation:

Answer is this hope it helps to you

Answer: 226

Step-by-step explanation:

Substitute -8 into x. You will get,

4 (-8)² + 4(-8) + 2

4 x 64 - 32 + 2

256 - 30

226

Answer: 226

Step-by-step explanation:

So the question's asking you to solve for f(-8) which basically means to substitute the x in the equation of f(x) with -8 and solve.

It will then look like this:

f(-8)= 4(-8)^2+4(-8)+2

Then just put it in a calculator and solve.

Answer:

$22.75

Step-by-step explanation:

first you want to put money over pounds giving you 5.6/0.8 now u divide to get the rate (7).

Now since you know that you got the rate you want to times 3.25 by 7 (22.75)

Answer:

perimeter=16 34/35 IN

Area=18 sq in

Step-by-step explanation:

perimeter=4 1/5+4 1/5+4 2/7+4 2/7

perimeter=8 2/5+8 4/7=8 14/35+8 20/35=16 34/35 IN

Area=4 1/5x4 2/7

21/5x30/7=630/35=18

Area=18 sq in

The given statement " When the film is placed into the XCP (extension cone paralleling) holder with the smooth side of the film towards the throat, after processing, it will appear darker" is false because it will  lighter, not darker.

The smooth side of the film is the side that interacts with the X-ray radiation and receives the image, while the emulsion side contains the light-sensitive crystals that react to the radiation.

Placing the smooth side towards the throat ensures that the image is sharp and clear, as the X-ray beam travels through the teeth and soft tissues before reaching the film.

After processing, the exposed areas of the film turn dark, representing the captured X-ray image, while the unexposed areas remain light or clear.

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Answer:

Step-by-step explanation:

Plot 213, −56, and −312 on the number line.

Answer:

read the answers below.

Step-by-step explanation:

d = dog

d = c + 8

ch = chickens

ch = d -2

gp = guinia pigs

gp = c - 3

d + c + ch + gp = 59

gp = c- 3

gp = d -8 - 3

gp = d - 11

d + d-8 + d - 2 + d-11 = 59

4d -8 - 2 - 11 = 59

4d - 21 = 59

4d - 21 + 21 = 59 + 21

4d = 80

4d/4 = 80/4

d = 20

========

c = d - 8

c = 20 - 8

c = 12

========

ch = d - 2

ch = 20 - 2

ch = 18

=========

gp = d - 11

gp = 20 - 11

gp = 9

Yes, three-dimensional shapes, including polyhedra, have surface area. A polyhedron is a solid figure formed by flat faces, which are typically polygons, such as triangles, squares, or other multi-sided shapes. The surface area of a polyhedron is the total area of all its faces.

To find the surface area of a polyhedron, you must calculate the area of each individual face and then sum up these areas. The process varies depending on the type of polyhedron. For example, to find the surface area of a cube, you would calculate the area of one square face (side length squared) and multiply it by the number of faces (6). For a rectangular prism, you would calculate the area of each rectangular face and then add them together.

Other types of polyhedra, such as tetrahedrons or octahedrons, have different methods for calculating surface area, but the principle remains the same: find the area of each face and sum them up. Understanding the surface area of a polyhedron is important in many real-world applications, including architecture, engineering, and design, as it can be used to determine the amount of material needed for construction or the amount of paint required to cover a structure.

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Geometric solids with circular cross-sections include cylinders, cones, and spheres. Geometric solids with circular cross-sections include cylinders, cones, and spheres. And Cylinders, cones, and spheres can be created by rotating a two-dimensional shape about an axis.

1. Cylinder: A cylinder is a 3-dimensional solid that has two parallel circular bases connected by a curved surface. Cylinders are commonly found in everyday objects like soda cans and water bottles.

2. Cone: A cone is a 3-dimensional solid that has a circular base and a curved surface that tapers to a point. Cones are often used in architecture, like on the top of a church steeple.

3. Sphere: A sphere is a 3-dimensional solid that has a circular shape in all directions. Spheres are found in many natural objects like planets and fruit, as well as in man-made objects like Christmas ornaments.

Geometric solids with circular cross-sections are used in various fields, including architecture, engineering, and science. They are used for creating objects such as cans, pipes, towers, and buildings. These shapes are also used for modeling the natural world, such as the earth, planets, and the stars.

Cylinders, cones, and spheres can be created by rotating a two-dimensional shape about an axis. For instance, a circle that is rotated around its center axis forms a cylinder. Similarly, a triangle that is rotated around one of its sides forms a cone, while a circle that is rotated around its center axis forms a sphere.

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Answer:

10

I took the quiz ;)

Answer:

10

Step-by-step explanation:

First we need to find A and B

A(-7;-6)

B(1;0)

The expression "five to the three-fourths power raised to the two-thirds power" can be rewritten as a radical expression.

First, let's calculate the exponentiation inside the parentheses:

(5^(3/4))^2/3

To simplify this, we can use the property of exponentiation that states raising a power to another power involves multiplying the exponents:

5^((3/4) * (2/3))

When multiplying fractions, we multiply the numerators and denominators separately:

5^((3 * 2)/(4 * 3))

Simplifying further:

5^(6/12)

The numerator and denominator of the exponent can be divided by 6, which results in:

5^(1/2)

Now, let's express this in radical form. Since the exponent 1/2 represents the square root, we can write it as:

√5

Therefore, the expression "five to the three-fourths power raised to the two-thirds power" simplifies to the radical expression √5.

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Answer:

A. m = 0

Step-by-step explanation:

The slope is 0 as the change in y-value is 0, and change in x-value is infinite.

Graph

Company A costs less for mileage than Company B, which can be represented by the inequality  0   ≤ m < 85 .

The parameters for the two companies are as follows:

For Company A, the initial cost is $55.

For Company B, the initial cost is $97.50.

The extra cost per mile is 20 cents.

Let us depict the overall fee for company A by C₁ and the total charge for company B by C₂, and we will obtain;

C₁ = 55 + 0.70 × m

C₂ =  97.50 + 0.20 × m

Where "m" stands for the amount of miles driven.

Therefore, the cost of Company A and Company B are the same or equal when have the following relation;

C₁ = C₂

Now we will solve the equation to find the value of m.

∴ 55 + 0.70 × m = 97.50 + 0.20 × m

0.70 × m - 0.20 × m = 97.50 - 55

0.5 × m = 42.5

m = 85

m = 85 miles is the number of miles driven for which both companies will charge the same amount.

As a result, given that Company A's initial fee is smaller than Company B's initial fee, we have;

As a result, Company A charges less than Company B for 0 miles m 85 miles.

Therefore the inequality to represent is given by: 0   ≤ m < 85

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Answer:

1/7  

Step-by-step explanation:

Divide the top and bottom by 4 to get

1 / 7

Answer:

1/7

Step-by-step explanation:

4 and 28 are divisible by 4.

4/4 = 1

28/4 = 7

4/28 = 1/7

Answer:

The estimated total to the nearest dollar is $31, so he cannot afford both items.

Step-by-step explanation:

10.58 rounded is 11

19.50 rounded is 20

11+20=31

Answer:

I think it would be last one. Based on the idea that 10.58 would round up to 11.00, and the DVD would add up to 20.oo

that would equal 31.00, and he only has 30.00 to spend.

So I would say D.

Step-by-step explanation:

Answer:

A set of four data pairs with a correlation coefficient r = –0.8

Step-by-step explanation:

-0.8²=.64

It's the closest to 1. I also just took the quiz.

Answer:

c edge 2020

Step-by-step explanation:

Answer:

she raked 11 bags of leaves

Step-by-step explanation:

24.75 divided by 2.25= 11

Answer:

horizontal

Step-by-step explanation:

The translation is horizontal.

Translation means the displacement of a figure or a shape from one place to another.

As, per the graph the triangle is shifted from II quadrant to I quadrant.

But there no change in the length of units.

Also, the vertices are also at same line.

Hence, the translation is horizontal.

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Answer:

Step-by-step explanation:

We are given the rule [ f(n) = 3n - 1 ] and n represents the term.

First term:

f(n) = 3n - 1

f(1) = 3(1) - 1

f(1) = 3 - 1

f(-1) = 2

Second term:

f(n) = 3n - 1

f(2) = 3(2) - 1

f(2) = 6 - 1

f(2) = 5

Third term:

f(n) = 3n - 1

f(3) = 3(3) - 1

f(3) = 9 - 1

f(3) = 8

Fourth term:

f(n) = 3n - 1

f(4) = 3(4) - 1

f(4) = 12 - 1

f(4) = 11

As you can see, the common difference is 3.

Best of Luck!

Answer:

2,5,8,11

Step-by-step explanation:

If n=1, 3n-1 =3*1-1 =3-1 =2

If n=2, 3n-1 =3*2-1 =6-1 =5

If n=3, 3n-1 =3*3-1 =9-1 =8

If n=4, 3n-1 =3*4-1 =12-1 =11

Answer:

y + 2 = 3/4 (x - 1)

Step-by-step explanation:

You would pick one of the points in this case I picked (1, -2), for point-slope form your equation is y - y1 = m(x-x1).

Finding the slope (m) is easy you just do rise (up/down) OVER run (left/right).

So in this case your slope (m) is 3/4.

then you just plug everything in but because two negatives equal a positive you equasion should look like this y + 2 = 3/4(x - 1)

Answer:

Oi, tudo bem?

A resposta seria: Desse grupo, 20 mulheres não seriam estrangeiras.

Step-by-step explanation:

Esse grupo é formado por 400 pessoas, ao qual:

Homens:

30% = 30/100 = 0,3

400 . 0,3 = 120

Mulheres (Estrangeiras):

65% = 65/100 = 0,65

400 . 0,65 = 260

Neste caso, temos duas formas de resolver: ou descobrir a porcentagem da quantidade de mulheres que não são estrangeiras (isto é, '100% - (35% + 60% = 5%'), depois fazer a mesma fórmula como acima, que seria:

5% = 5/100 = 0,05

400 . 0,05 =  20

Ou também, podemos somar a quantidade de pessoas que nós já sabemos (que seria: '120 + 260 = 380') e subtrair a quantidade total de pessoas com esse resultado, que é:

400 - 380 = 20

Espero ter ajudado, bons estudos amigo(a)! ;)

Answer:

monomial

Step-by-step explanation:

Answer:

12,000-(0.05x)=t

Step-by-step explanation:

The Task objective chosen is: A Measuring Task

The Objective is: To investigate the fairness of a local athlete's track for runners starting on different lines.

To carry about the investigation, follow the steps given below.

Lastly, make a crossword puzzle that includes mathematical vocabulary in a clever manner.

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```Class IX```

*Mathematics Project work*

*Do any one*

1. *A Measuring Task*

To investigate your local athletes track to see whether it is worked fairly for runners who start on different lines.

2. *Design a crossword puzzle with mathematical terms*

To review mathematics vocabulary, to give the opportunity for creative expression in designing puzzles, to act as a means of motivating the study of a given unit and to given recreation .​

Answer:

The minimum is -4

Step-by-step explanation:

The minimum is the lowest point on the parabola

It is at (-3,-4)

The y value is the minimum of the function

The minimum is -4

The ordered pair (-13, 5) is a solution to the given system of linear equations.

The system of equations given is:

-2a + 3b = 14 ... equation (1)

a - 4b = 3 ... equation (2)

Now, we need to find out which ordered pair (a, b) is a solution to this system of linear equations. We will solve this system of equations using the elimination method.

Multiplying equation (1) by 2, we get:

-4a + 6b = 28 ... equation (1) multiplied by 2a - 4b = 3 ... equation (2)

Now, adding these two equations, we get:

-2a + 2b = 31

Simplifying this, we get:

2b = 2a + 31

Dividing both sides by 2, we get:

b = a + 31/2 ... equation (3)

Now, substituting the value of b from equation (3) in equation (1), we get:

-2a + 3(a + 31/2) = 14

Simplifying this, we get:

a = -13

Substituting the value of a in equation (3), we get:

b = a + 31/2 = -13 + 31/2 = 5

So, the ordered pair (-13, 5) is a solution to the given system of linear equations.

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