Explain how you might use the properties of multiplication to solve 5 × 120 × 6.232 mentally. Then solve.

Answer:

y = -1/6x + 1/3

Step-by-step explanation:

y2 - y1 / x2 - x1

-5 - 0 / 32 - 2

-5 / 30

= -1/6

y = -1/6x + b

0 = -1/6(2) + b

0 = -1/3 + b

1/3 = b

Answer:

it B

Step-by-step explanation:

just took the test.

shsnwnzjdbsbxfn

Answer:     g(x) =2^x -1  

Step-by-step explanation:   I took the test

Answer:

D

Step-by-step explanation:

The highest number that divides exactly into two or more numbers. 3 and 9 cannot be divided by anything greater than 3.

Answer: i think its D.

Step-by-step explanation:

For a line to be parallel to the given line, it must have the same slope. The slope of the given line is -1/5, so a line parallel to it will also have a slope of -1/5. The slope of a line perpendicular to the given line is 5.

a) The slope of a line perpendicular to y=-(1)/(5)x+3 is 5. b) The slope of a line parallel to y=-(1)/(5)x+3 is -1/5.

The given equation is y = -(1/5)x + 3.
The slope of the given line is -1/5.

For a line to be perpendicular to the given line, the slope of the line must be the negative reciprocal of -1/5, which is 5.
Thus, the slope of a line perpendicular to the given line is 5.

For a line to be parallel to the given line, the slope of the line must be the same as the slope of the given line, which is -1/5.

Thus, the slope of a line parallel to the given line is -1/5.


To understand the concept of slope in detail, let us consider the equation of the line y = mx + c, where m is the slope of the line. In the given equation, y=-(1)/(5)x+3, the coefficient of x is the slope of the line, which is -1/5.
Now, let's find the slope of a line perpendicular to this line. To find the slope of a line perpendicular to the given line, we must take the negative reciprocal of the given slope. Therefore, the slope of a line perpendicular to y=-(1)/(5)x+3 is the negative reciprocal of -1/5, which is 5.

To find the slope of a line parallel to the given line, we must recognize that parallel lines have the same slope. Hence, the slope of a line parallel to y=-(1)/(5)x+3 is the same as the slope of the given line, which is -1/5. Therefore, the slope of a line parallel to y=-(1)/(5)x+3 is -1/5. Hence, the slope of a line perpendicular to the given line is 5, and the slope of a line parallel to the given line is -1/5.

To know more about slope, visit:

https://brainly.com/question/29044610

#SPJ11

A table or spreadsheet used to systematically evaluate options according to specific criteria is a decision matrix.

A decision matrix is a table or spreadsheet used to systematically evaluate options based on specific criteria. It is a tool commonly used in decision-making processes to objectively assess and compare different choices.

The decision matrix organizes the criteria in rows and the options in columns. Each cell in the matrix represents the evaluation or score of an option based on a particular criterion. The criteria can be weighted to reflect their relative importance in the decision-making process.

By filling out the decision matrix with scores or ratings for each option and criterion, a comprehensive evaluation can be performed. The matrix allows decision-makers to visualize and compare the performance of different options against the criteria, helping them make more informed and structured decisions.

To know more about spreadsheet, refer here:
https://brainly.com/question/11452070
#SPJ11

The person's approximate height can be determined by using a similar triangle and the properties of shadows.

When a person stands in the sunlight, they cast a shadow on the ground. The length of the shadow depends on various factors such as the height of the person and the angle of the sun's rays. In this scenario, we have a person standing seven feet away from a building with a light mounted on it, and the light is ten feet from the ground. By understanding the relationship between the person's distance from the light and the length of their shadow, we can estimate the person's approximate height.

To solve this problem, we can make use of similar triangles and proportions. Let's consider the triangles formed by the person, their shadow, and the building.

We have two similar right triangles:

Triangle 1: The person's height (let's call it "h") is the vertical side, and the length of their shadow is the horizontal side.

Triangle 2: The height of the building (10 ft) is the vertical side, and the distance between the person and the building (7 ft) plus the length of their shadow is the horizontal side.

Since the two triangles are similar, their corresponding sides are proportional. We can set up the following proportion:

(h / shadow length) = (10 ft / (7 ft + shadow length))

Cross-multiplying and simplifying the equation, we get:

h * (7 ft + shadow length) = 10 ft * shadow length

Expanding the equation, we have:

7h ft + h * shadow length = 10 * shadow length ft

Rearranging the equation to isolate the shadow length, we get:

h * shadow length - 10 * shadow length = -7h ft

Factoring out the shadow length, we have:

shadow length * (h - 10) = -7h ft

Dividing both sides by (h - 10), we obtain:

shadow length = (-7h) / (h - 10) ft

Given that the person's shadow length is six feet, we can substitute this value into the equation:

6 ft = (-7h) / (h - 10) ft

Now, we can solve for the person's height (h):

6 ft * (h - 10) ft = -7h ft

6h - 60 = -7h

Combining like terms, we get:

13h = 60

Dividing both sides by 13, we find:

h = 60 / 13 ≈ 4.62 ft

Therefore, the person's approximate height is around 4.62 feet.

To know more about right triangles visit:

https://brainly.com/question/2217700

#SPJ11

Answer:

d =  3.22834645

The minimum height of the cone is 17.87 in (approx)

In geometry, the cylinder is a fundamental 3 dimension shape that has two parallel circular bases at a distance. The two circular bases are joined by a curved surface, at a fixed distance from the center.  

Total surface area, A = 2πr²+ 2πrh square units

The volume of the Cylinder, V = πr²h cubic units

Here we have

A cylindrical can with an open top is to be constructed so that

The volume of the cone is 167 in³  

As we know volume of cone = (1/3) πr²h

=> (1/3) πr²h = 167

=> h = 501/πr²  

As we know Surface Area of the cone = 2πrh + 2πr²  

Substitute h = 501/πr² in Surface Area of cone  

=> SA = 2πr(501)/πr² + 2πr²  

=> SA = 1002r⁻¹+ 2πr²        

Differentiate SA with respect to r

=> SA' = (-1) 1002r⁻²+ 4πr  

=> SA' = - 1002r⁻² + 4πr  

Here  - 1002r⁻² + 4πr = 0

=>  - 501r⁻² + 2πr = 0  

=>  - 501/r² + 2πr = 0  

=>  [-501 + 2πr³ ]/r² = 0

=>  [-501 + 2πr³ ] = 0  

=>  2πr³ = 501

=>  πr³ = 250.5

=>  r³ = 79.70

=>  r = 8.92  (approx)

Hence the height of the cone, h = 501/πr²    

= 501/π(8.92)

= 17.87 (approx)

Therefore,

The minimum height of the cone is 17.87 in (approx)  

Learn more about height

https://brainly.com/question/1161452

#SPJ4

To derive a formula for P(A ∪ B ∪ C), we can use the inclusion-exclusion principle, which states that:

P(A ∪ B ∪ C) = P(A) + P(B) + P(C) - P(A ∩ B) - P(A ∩ C) - P(B ∩ C) + P(A ∩ B ∩ C)

We know P(A), P(B), P(A ∪ B), and P(C), but we need to find P(A ∩ B), P(A ∩ C), P(B ∩ C), and P(A ∩ B ∩ C).

We can use the following formulas to find these probabilities:

P(A ∩ B) = P(A) + P(B) - P(A ∪ B)

P(A ∩ C) = P(A) + P(C) - P(A ∪ C)

P(B ∩ C) = P(B) + P(C) - P(B ∪ C)

P(A ∩ B ∩ C) = P(A) + P(B) + P(C) - P(A ∪ B) - P(A ∪ C) - P(B ∪ C) + P(A ∪ B ∪ C)

Substituting these formulas in the inclusion-exclusion principle, we get:

P(A ∪ B ∪ C) = P(A) + P(B) + P(C) - P(A) - P(B) - P(A ∪ B) - P(A) - P(C) + P(A ∪ C) - P(B) - P(C) + P(B ∪ C) + P(A) + P(B) + P(C)  - P(A ∪ B) - P(A ∪ C) - P(B ∪ C) + P(A ∪ B ∪ C)

Simplifying this expression, we get:

P(A ∪ B ∪ C) = P(A) + P(B) + P(C) - P(A ∪ B) - P(A ∪ C) - P(B ∪ C) + P(A ∩ B ∩ C)

Therefore, the formula for P(A ∪ B ∪ C) is:

P(A ∪ B ∪ C) = P(A) + P(B) + P(C) - P(A ∪ B) - P(A ∪ C) - P(B ∪ C) + P(A ∩ B ∩ C)

Learn more about inclusion-exclusion principle here -: brainly.com/question/29355729

#SPJ11

Answer:

well... how are you supposed to guess ON POINT the time you have been running for... i couldnt have done it... but nice job kate i couldve only ran half that time... props to you

Step-by-step explanation:

Remove the brackets.

Take the like terms closer.

Now do the addition and subtraction

Let us split the middle term

Now take x as common from the first two terms and -1 from the next two terms.

Answer:

(x - 1)(7x + 12)

Hope you could understand.

If you have any query, feel free to ask.

Solve (6x² + 5x - 3) + (x² - 9)

(x-1) (7x+12)

please look at the attached picture :)

Answer:

(B)   is true    

4 x + y = 4 * (-6) + 0 = -24   and is on the line

Answer:

  B. (-6, 0) is on the line

Step-by-step explanation:

The points of concern are those where y=0. Using that in the equation, we find the x-value to be ...

  4x +0 = -24

  x = -24/4 = -6

That is, the point (-6, 0) is on the line and is a solution to the equation.

__

Additional comment

Answer choices C and D can be rejected immediately, because they are nonsense. If a point is on the line, it IS a solution. It will not be on the line if it is not a solution.

Answer:

2

Step-by-step explanation:

Your slope is your change in y over your change in x.  The ordered pair is in the form of (x,y), so you subtract the y's and put that in your numerator (top)and subtract your x's and put that in your denominators (bottom).

2 - (-4) would be your top number.  To subtract a negative number is the same as adding a positive, so 2 - (-4) is the same as 2 +4, so your top number is 6.  

Now, to find the bottom number, you subtract the x's.

5-2 which is 3.

We now have the top and the bottom number

6/3 which is the same as 2.

Answer:

x = 5

y = 3

Step-by-step explanation:

x + 4y = 17

2x + 5y = 25

We multiply the first equation by -2

-2x - 8y = -34

2x + 5y = 25

-3y = -9

y = 3

Now we put 3 in for y and solve for x

x + 4(3) = 17

x + 12 = 17

x = 5

Let's Check the answer

5 + 4(3) = 17

5 + 12 = 17

17 = 17

So, x = 17 and y = 3 is the correct answer.

None of the graphs with the given degree sequence (4,4,4,4,4,4,2) can be bipartite.

To understand why none of the graphs with the given degree sequence (4,4,4,4,4,4,2) are bipartite, let's first define the key terms:

1. Degree: The degree of a vertex in a graph is the number of edges incident to it.
2. Sequence: A degree sequence is a list of the degrees of each vertex in a graph.
3. Bipartite: A graph is bipartite if its vertices can be partitioned into two disjoint sets such that no two vertices within the same set are adjacent.

Now, let's analyze the given degree sequence (4,4,4,4,4,4,2):

1. There are 7 vertices in the graph.
2. The sum of the degrees is 4+4+4+4+4+4+2 = 26, which is even (a necessary condition for a graph to be bipartite).

For a graph to be bipartite, it must satisfy the Handshaking Lemma. The Handshaking Lemma states that the sum of the degrees of all vertices in a set should be equal to the sum of the degrees of all vertices in the other set. In other words, the sum of the degrees of all vertices in one set is equal to the number of edges crossing between the two sets.

Let's assume we can divide the vertices into two disjoint sets, A and B. Since each vertex with degree 4 is adjacent to 4 vertices, it must be connected to vertices in the opposite set. However, we have six vertices with degree 4, so the total sum of degrees of vertices in set A would be 6 * 4 = 24, while the vertex with degree 2 in set B would only account for 2. This contradicts the Handshaking Lemma, as 24 ≠ 2.

Hence, none of the graphs with the given degree sequence (4,4,4,4,4,4,2) can be bipartite.

to learn more about bipartite click here:

brainly.com/question/30889414

#SPJ11

Answer:

17.2

Step-by-step explanation:

I did this exact question

xy = 66

x + y = 17

x = 11

y = 6

11 times 6 = 66

11 plus 6 = 17

Answer is 11 and 6

Answer:

Two polygons are similar if their corresponding angles are congruent and the corresponding sides have a constant ratio (in other words, if they are proportional).

Step-by-step explanation:

(plz like and follow if this helps:)

Answer:

if two polygons are similar then the sides are congruent

Answer:

1. Semi-regular tessellations are made from multiple regular polygons.

2. There are an infinite number of figures that form irregular tessellations!

3. You can create irregular polygons that tessellate the plane easily, by cutting out and adding symmetrically.

An irregular tessellation

An irregular tessellation is simply a group of figures which does not include any regular polygons.

In other words, an irregular tessellation is a group of irregular shapes.

The number of irregular tessellations

There are several irregular shapes and figures that make up an irregular tessellation.

This means that the number of irregular tessellation is non-finite.

How to create an irregular tessellation

There are several ways to do this. Some of them include;

See attachment for an instance of an irregular tessellation

Read more about irregular tessellation at:

https://brainly.com/question/10628997

Answer:

Step-by-step explanation:

Let  

V

be the number of vertices of a polyhedron,  

F

the number of faces of that polyhedron, and  

E

be the number of edges. The quantity  

χ

=

V

−

E

+

F

is called the Euler characteristic (of a polyhedron). In the case of convex polyhedra,  

χ

=

2

.

Consider, for example, a tetrahedron (which is the simplest solid). It has 4 faces,  

1

2

(

4

)

(

3

)

=

6

edges, and  

1

3

(

4

)

(

3

)

=

4

vertices. Thus we have  

V

−

E

+

F

=

4

−

6

+

4

=

2

.

Euler's formula holds for all Platonic solids (tetrahedron, cube, octahedron, dodecahedron, and icosahedron). Since a cube and an octahedron are dual polyhedra (each is formed by connecting the centers of the faces of the other), their  

V

and  

F

values are equal to the  

F

an  

V

values of the other. (The same is true for the dodecahedron and icosahedron).

Answer:

x = 150

Step-by-step explanation:

x + x - 15 + 107 + x + 7 + 125 + 122 + 131 = 630

3x + 180 = 630

3x = 450

x = 150

The value of x is 150

A polygon is a closed figure made up of three or more line segments connected end to end.

We are given that seven sided polygon with angle measures x, x minus 15, 107, x plus 7, 125, 122, and 131 degree

Therefore, the sum of all the angles are;

x + x - 15 + 107 + x + 7 + 125 + 122 + 131 = 630

3x + 180 = 630

3x = 450

x = 150

Learn more about polygon here;

https://brainly.com/question/11211761

#SPJ2

Person pay $18.45 to take a taxi from work to home if the distance is 17 miles.

What is distance?

The measurement of distance between two objects or points can be quantitative or occasionally qualitative. Distance in physics or common language can refer to a physical length or an assumption based on other factors.

Given:

Taxi fare in Tampa costs a base fee of $4 plus an additional $0. 85 for each mile traveled.

There are 17 miles so the additional tax is,

17 x 0.45 = $14.45

SO, the total cost to pay is,

$14.45 + $4 = $18.45

Hence, person pay $18.45 to take a taxi from work to home if the distance is 17 miles.

To know more about distance, click on the link

https://brainly.com/question/26046491

#SPJ4

Answer:

1/557

Step-by-step explanation:

The scale factor on a map is the ratio of one unit to the distance that unit measures!

Answer: 144pi in sq

Step-by-step explanation:

A=(Pi)(8)(10)+(pi)(8)=

Pi(80)+pi(64)

144pi in sq

Answer:

Median 1.5

Step-by-step explanation:

Answer:

Median is the most appropriate and the value is 1.5

Step-by-step explanation:

Answer: 6,500 feet MSL

Step-by-step explanation:

I don't think any options you provide have the correct answer! It should be 6,500 feet MSL

The amount of time he spent on the bicycle is 5.5 hours.

Jim began a 167​-mile bicycle trip to build up stamina for a triathlete competition.​ Unfortunately, his bicycle chain​ broke, so he finished the trip walking.

The whole trip took 6 hours. Jim walks at a rate of 4 miles per hour and rides at 30 miles per​ hour.

The amount of time he spent on the bicycle can be calculated as follows;

speed = distance / time

distance = speed × time

Therefore, total distance is as follows:

let

x = time spent walking

167 = 4x + 30(6 - x)

167 = 4x + 180 - 30x

167 = -26x + 180

167 - 180 = -26x

x = -13 / -26

x = 1 / 2

Time spent on bicycle = 6 - 0.5 = 5.5 hours.

learn more on time here: https://brainly.com/question/25959007

#SPJ1

Answer:

Since both equations are satisfied, the point (-3,5) is the solution of the system

Step-by-step explanation:

System of Equations

If a system of equations of two variables has a single solution (x,y), then both equations must be satisfied for x and y.

We are given the system:

6 x + 5 y = 7

x + 4y = 17

Betty found the solution (-3,5). Substituting in both equations:

6*(-3) + 5 * 5 = -18 + 25 = 7

-3 + 4*20 = 17

Since both equations are satisfied, the point (-3,5) is the solution of the system

Answer:

D. (–3, 5) satisfies both the equation 6x + 5y = 7 and the equation x + 4y = 17.

Step-by-step explanation:

The given equations are:

and

Betty correctly determined that the ordered pair  is a solution by substituting it into both equations.

Betty's work will look like this;

First Equation:

This statement is True.

Second equation;

This is also TRUE

Hence the correct answer is

D. (–3, 5) satisfies both the equation 6x + 5y = 7 and the equation x + 4y = 17.