¿Cuál es la ecuación de la línea que pasa a través de los puntos A (1,2) y B (4,3)

The polynomial function to find the volume of the tray is [tex]4x^{3} -30x^{2} +50x[/tex] cubic inches.

According to the question,

We have the following information:

Christina cuts 4 squares with side length x inches from the corners of a 5 inch by 10 inch cardboard rectangle. She folds the remaining cardboard to make a tray that is x inches high.

Now, the length of the tray will be (10-2x) inches and the breadth of the tray will be (5-2x) inches.

Volume of tray = length*breadth*height

Volume of tray = (10-2x)(5-2x)x

Volume of tray = x(50-20x-10x+4[tex]x^{2}[/tex])

Volume of tray = x(4[tex]x^{2}[/tex]-30x+50)

Volume of tray = [tex]4x^{3} -30x^{2} +50x[/tex] cubic inches

Hence, the polynomial function to find the volume of the tray is [tex]4x^{3} -30x^{2} +50x[/tex] cubic inches.

To know more about volume of the tray here

https://brainly.com/question/17456220

#SPJ9

The value of h(x)= 2x- 36.

What is function?

In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

Given:

f(x)=[tex]\frac{1}{2x}[/tex]-3

Now, subtract 6 from the input of f to create a new function​ g

g(x)= [tex]\frac{1}{2x}[/tex]-3 -6

g(x)= [tex]\frac{1}{2x}[/tex] -9

and, multiply the input of function g by 4

h(x)= 4([tex]\frac{1}{2x}[/tex] -9)

h(x) = 2x- 36

Hence, the value of h(x)= 2x- 36.

Learn more about function here:

https://brainly.com/question/29388264

#SPJ9

Answer:

multiply

Step-by-step explanation:

2345567 in the subtract 578431111

App inventor's random integer block test is sufficient for app inventor's prng . but to increase our confidence in app inventor's prng we can do other tests like random fraction test and random set speed test.

The Coin Flip Experiment app allows you to run experiments aimed at determining how "good" the App Inventor PRNGs are. The app allows the user to "flip a coin" her N times and the results are displayed. They should record and count the results and calculate the average head percentage. The expectation of should reach 50% on average as N increases.

To properly test an App Inventor PRNG, you must test both the Random Integer and Random Fraction blocks along with the Random Fraction and Random set speed to blocks. Create dice simulations to get better than 50/50 predictions and reuse dice simulators for all combinations of different App Inventor random blocks. If such a combination yields the same results, then you can be confident that her PRNG in App Inventor provides a good model of randomness from all angles.

To learn more about Coin flip app , refer:

https://brainly.com/question/28688416

#SPJ4

The total number of members there is 199

Two kinds of logical reasoning are often distinguished in addition to formal deduction: induction and abduction. Given a precondition or premise, a conclusion or logical consequence and a rule or material conditional that implies the conclusion given the precondition, one can explain the following.

Since the number of members of the band is <200. the members are arranged in rows and 3 will be left out

therefore assume the members on row are 200- 3= 197, but 197 is a prime number ,therefore we choose the closet number to 197 which is 196.

therefore the total number of members = 196+3= 199.

learn more about logical reasoning from

https://brainly.com/question/25175983

#SPJ1

The completion for the row of the table will be:

Grade 8

Dance club: 0.25

Hiking club: 0.75

Total : 1

Grade 9:

Dance club: 0.40

Hiking club: 0.60

Total : 1

The dance club for grade 8 will be calculated as:

= Number of dancers / Total number

= 5/20

= 0.25

The hiking club will be:

= 15/20

= 0.75

The dance club for grade 9 will be calculated as:

= Number of dancers / Total number

= 20/50

= 0.4

The hiking club will be:

= 30/50

= 0.6

Learn more about ratio on:

brainly.com/question/2328454

#SPJ1

In order to determine if your friend has enough money to buy all the items, the total cost of the items have to be determined. The total cost is the sum of all the items bought.

Total cost = total cost of the first three items + total cost of the second three + total cost of the last three

Total cost = (3 x 15.99) + (3 x 10.40) + (4 x 4.50)

Total cost = $47.97 + $31.20 +18

Total cost = $97.17

An increase in temperature would be represented with a positive number. While, a decrease in temperature would be represented with a negative number. The final temperature can be determined by adding the temperature increase and decease together.

Final temperature = increase in temperature - decrease in temperature

Final temperature = 32 - 14 = 18 degrees

To learn more about temperature, please check: https://brainly.com/question/136550

#SPJ1

Answer:

2j

Step-by-step explanation:

30k-30k = 0

0 + 2j = 2j

The values of x, y and z in the given Rhombus are

x = -98, y = 36 and z = -97/4.

Given, the figure shown is a rhombus

as, the opposite angles of the rhombus are equal

So, 3y - 1 = 107

3y = 107 + 1

3y = 108

y = 36

and (-x - 8) = (-4z - 7)

x + 8 = 4z + 7

x - 4z = -1

also, the sum of the opposite angles of the rhombus is 180°.

So, (-x - 8) + (-4z - 7) = 180

-x - 4z = 180 + 15

x + 4z = -195

On adding the equations, we get

2x = -196

x = -98

and z = -97/4

Hence, the values of x, y and z are

x = -98, y = 36 and z = -97/4.

Learn more about Angle Sum Property here https://brainly.com/question/22262639

#SPJ1

The hour hand is 2.70 m long and minute hand is 4.50m long with mass of 60 kg and 100 kg. Therefore. Total angular momentum is 1.2 kgm²/s.

Mass of Hour hand = 60 kg

length of hour hand = 2.70 m

Now,

Moment of inertia of the hour hand is given by:

                         I = mL²/ 3

                         I = 60(2.70)²/3

                         I = 145.8 kgm²

Now,

The angular speed of hour hand is:

                           ω = 2π/ T

                          ⇒ ω = 2π / 12×3600

                          ⇒ ω = 1.45 × 10⁻¹ rad/s

Now,

Angular momentum is given as:

L₁ = Iω = 145.8 × 1.45× 10⁻¹

           = 0.021 kgm²/s

Mass of minute hand = 100 kg

length of minute hand = 4.50 m

Now,

Moment of inertia of the minute hand is given by:

I = mL²/ 3

I = 100(4.50)² /3

I = 675 kgm²

Now,

The angular speed of minute hand is

ω = 2π/ T

ω = 2π / 60× 60

ω = 1.74 × 10⁻³ rad/s

Now,

Angular momentum is given as:

L₂ = Iω = 675 × 1.74 ×10⁻³

           = 1.178 kgm²/s

Total angular momentum is given as

L = L₁ + L₂

  = 0.021 + 1.178

  = 1.2 kgm²/s

Learn more about Angular momentum:

https://brainly.com/question/15104254

#SPJ4

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

[tex]6x-2y=25\implies -2y=-6x+25\implies y=\cfrac{-6x+25}{-2} \\\\\\ y=\cfrac{-6x}{-2}+\cfrac{25}{-2}\implies y=\stackrel{\stackrel{m}{\downarrow }}{3}x-\cfrac{25}{2}\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}[/tex]

Answer:

121; 122

Step-by-step explanation:

x

x+1

3x-2(x+1) = 119

3x-2x-2 = 119

x = 119 +2

x = 121

x+1 = 122

Answer:

Clara will call 1 more person than Toby

Step-by-step explanation:

Every 10 phones call is 4 people so 40 phone calls will be 16 people

If every 8 phones calls is 3 people then 40 phones calls will be 15 people

By 1 person

Sorry about previous answer I read question wrong

Hopes this helps please mark brainliest

Answer:

if times 40 it is clara by 40

Step-by-step explanation:

Answer:

Step-by-step explanation:

34567

Answer:

y = 3/4 x + 8

Step-by-step explanation:

y-5 = 3/4 (x-(-4)

y - 5 = 3/4 (x+4)

y - 5 = 3/4 x + 3

Y = 3/4 x + 3 + 5

y = 3/4 x + 8

Answer:

(-4,5) x = -4 and y = 5

use y = mx + c formula

so 5 = 3/4 (-4) +c

5 = -3 + c

5 + 3 = c

so c = 8

y = 3/4x + 8

The graph of the function is y - 1 = x, not y = x - 1.

The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.

These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.

Given, y = (x - 1).

When x = 1, y = 0 ⇒ (1, 0).

When x = 2, y = 1 ⇒ (2, 1).

When x = 3, y = 2 ⇒ (3, 2).

When x = 4, y = 3 ⇒ (4, 3).

When x = 5, y = 4 ⇒ (5, 4)

learn more about graphs here :

https://brainly.com/question/2288321

#SPJ1

Answer: [tex]2^{-3}[/tex]

Step-by-step explanation:

[tex]4^{-6} *4^4*(2^3*2^{-4} )^{-1}\\=(2^2)^{-6}*(2^2)^4*(2^{3-4})^{-1}\\=2^{-12}*2^8*(2^{-1})^{-1}\\=2^{-12+8}*2^1\\=2^{-4}*2^1\\=2^{-4+1}\\=2^{-3}[/tex]

The expression that gives the volume of the Sphere with radius 7  is  (4/3)π(7³) , the correct option is (a) .

In the question ,

it is given that

the radius of the sphere is 7 .

we need to find the expression that represents  the Volume of the Sphere when radius is 7 .

the formula for the Volume of the Sphere is (4/3)π(r³) .

Substituting the value of radius = 7 , in the formula ,

we get ,

Volume = (4/3)π(7³)

Therefore , The expression that gives the volume of the Sphere with radius 7 is  (4/3)π(7³) .

The given question is incomplete , the complete question is

Which expression gives the volume of a sphere with radius 7 ?

(a) (4/3)π(7³)

(b) (4/3)π(7²)

(c) 4π(7²)

(d) 4π(7³)

Learn more about Volume here

https://brainly.com/question/9835124

#SPJ1

The minimum cost will be at (2.5 , 3) and the minimum cost be $25.

Given, a landscaping contractor plans to use the least expensive combination of two brands of fertilizer.

A package of Brand X costs $16 and contains 12 oz of phosphates and 10 oz of nitrates.

A package of Brand Y costs $7 and contains 10 oz of phosphates and 5 oz of nitrates.

The lawn requires at least 60 oz of phosphates and 40 oz of nitrates.

Let the number of Brand X packages be, x

the number of Brand Y packages be, y

According to the question,

12x + 10y ≥ 60 = 6x + 5y ≥ 30

10x + 5y ≥ 40 = 2x + y ≥ 8

x ≥ 0

y ≥ 0

Z = 16x + 7y

On solving the equations, we get

6x + 5y = 30

6x + 3y = 24

On subtracting, we get

2y = 6

y = 3

and x = 2.5

So, minimum cost will be at (2.5 , 3) and the minimum cost be

Z = 16(2.5) + 7(3)

Z = 4 + 21

Z = 25

Hence, the minimum cost will be at (2.5 , 3) and the minimum cost be $25.

Learn more about Linear Programming Problems here https://brainly.com/question/14309521

#SPJ1

Answer:

I can't see the graph anywhere.

Step-by-step explanation:

Answer:

  $13

Step-by-step explanation:

You want to know how much more Rahul's investment of $1100 at 3 3/8% compounded quarterly for 8 years is worth than Caleb's investment of $1100 at 3 1/2% compounded daily for 8 years.

The amount in Rahul's account is given by ...

  A = P(1 +r/n)^(nt) . . . . . P invested at rate r compounded n times per year

  A = $1100(1 +0.03375/4)^(4·8) = $1100(1.0084375^32) ≈ $1439.33

The same formula is used for Caleb's account, but with different numbers.

  A = $1100(1 +0.0325/365)^(365·8) ≈ $1426.61

The difference in account values is ...

  Rahul's - Caleb's = $1439.33 -1426.61 = $12.72 ≈ $13

Rahul will have about $13 more in his account.

<95141404393>

Answer:

This is a function y = mx + b:

So, the function would be y = 20x + 50, where y is the dollar amount after x weeks and x cannot be greater than 12.

9,603.75 cm² is the area of the given triangle.

So, the perimeter of the triangle is 392 cm.

Then, let the rest 2 sides be x, where x = x.

Now, we know that the rest 2 equal sides are of length 98.5 cm.

Now, calculate the area as follows:

Therefore, 9,603.75 cm² is the area of the given triangle.

Know more about triangles here:

https://brainly.com/question/28889256

#SPJ1

According to the circle, if 8 points in a plane are chosen to lie on or inside a circle of diameter 2cm then show that the distance between some two points will be less than 1cm.

Circle:

Circle refers the round shape that has no corners or line segments. And it is a closed curve shape in geometry.

Given,

Eight points are in/on the circle of radius 1cm.

Here we need to show that distance between some two points is less than 1cm.

Let us consider the points be p1,p2,…,p8

Noe, we have to place the point p8 at the center of the circle and placing other seven points on the periphery of the circle, at equal distances

Here we have to remember that we are required to prove that there are at least a pair of points whose distance from each-other is less than 1cm.

So, now we have one point at the center and seven at the periphery of the circle.

Based on this the heptagon which will be formed by joining the seven points on the circle will have all its side equal in length.

Then the length of the side of the heptagon is less than 2π/7 cm which is less than 1cm.

Therefore, if we replace the position of any point then too we get a pair of points whose distance from each-other is less than 1cm.

To know more about Circle here.

https://brainly.com/question/11833983

#SPJ4

Answer:

50%

Step-by-step explanation:

[tex]\frac{26}{52}[/tex] x 100 = 50

The theorem (A) CPCTC represents the given condition of the triangle.

According to the formula CPCTC, which stands for "corresponding portions of congruent triangles are congruent," if two or more triangles are congruent, their corresponding angles and sides must also be congruent.

When demonstrating the congruence of triangles or other shapes, the term CPCT is employed.

When a student is asked to demonstrate that two angles or two sides are congruent, CPCTC is frequently employed at the end of the proof or close to it.

So, in the given triangle:

The angles are bold and the lines are not bold.

This represents that it is proved first that the angles are congruent.

And through CPCTC, we are concluding that the sides of the triangles are also congruent.

Therefore, the theorem (A) CPCTC represents the given condition of the triangle.

Know more about CPCTC here:

https://brainly.com/question/6076251

#SPJ1

Answer: 74

Step-by-step explanation:

Lets say the four even numbers are 2x - 4, 2x - 2 , 2x , 2x + 2

The sum would be

8x - 4 = 284

x = 36

Therefore, the smallest number is 2 * 36 - 4 = 68

The consecutive even numbers are 68, 70, 72, 74 and 74 is the largest.