Is p=6m+9m an example of a proportional relationship?

El jardinero de un parque planta flores siguiendo cierto patrón. En la primera fila planta 4 flores, en la segunda 7 y así suces

nevsk [136]

Answer:

a) Para $i = 4$ , hay 13 flores en la fila 4.

b) Para $i = 7$ , hay 22 flores en la fila 7.

c) La fila 11 tiene 34 flores.

Step-by-step explanation:

De acuerdo con el enunciado, cada fila tiene tres flores más que la fila inmediatamente anterior, significando que se puede determinar el número de flores de cada fila mediante una serie aritmética:

$n = 4+3\cdot (i-1)$ , $i \ge 1$ (1)

Donde:

$i$ - Índice de la fila de flores.

$n$ - Número de flores del índice de la fila de flores.

a) Para $i = 4$ , hay 13 flores en la fila 4.

b) Para $i = 7$ , hay 22 flores en la fila 7.

c) Si $n = 34$ , entonces el índice de la fila es:

$i=1+\frac{n-4}{3}$

$i = 11$

La fila 11 tiene 34 flores.

6 0

3 years ago

Find the sum of (63−4)+(−23+9)=

frutty [35]

Answer:

45

Step-by-step explanation

Hope this helps :)

8 0

2 years ago

Read 2 more answers

A spherical balloon has a circumference of 23 cm. What is the approximate surface area of the balloon to the nearest square cent

Bad White [126]

168cm2
Let r cm be the radius of the balloon, then
2pi(r)=23=>r=23/(2pi) 
The surface area= 
4pi(r^2)= 
4pi[23/2pi)]^2= 
(23^2)/pi=168.386 cm^2 
approximately.

7 0

3 years ago

Please help, and show work if you can!! :))

dmitriy555 [2]

Answer:

Step-by-step explanation:

ΔABD ≅ ΔCBD .

So AD = DC

8x - 4 = 3x + 1 {add 4 to both sides}

8x = 3x + 1 + 4

8x = 3x + 5 {subtract 3s from both sides}

8x - 3x= 5

5x = 5 {divide both sides by 5}

x = 5/5

x = 1

8 0

3 years ago

A home improvement contractor is painting the walls and ceiling of a rectangular room. The volume of the room is 875.00 cubic fe

Reika [66]

Answer:

The room dimensions for a minimum cost are: sides of 10 feet and height of 8.75 feet.

Step-by-step explanation:

We have a rectangular room with sides x and height y.

The volume of the room is 875 cubic feet, and can be expressed as:

$V=x^2y=875$

With this equation we can define y in function of x as:

$x^2y=875\\\\y=\dfrac{875}{x^2}$

The cost of wall paint is $0.08 per square foot. We have 4 walls which have an area Aw:

$A_w=xy=x\cdot \dfrac{875}{x^2}=\dfrac{875}{x}$

The cost of ceiling paint is $0.14 per square foot. We have only one ceiling with an area:

$A_c=x^2$

We can express the total cost of painting as:

$C=0.08\cdot (4\cdot A_w)+0.14\cdot A_c\\\\C=0.08\cdot (4\cdot \dfrac{875}{x})+0.14\cdot x^2\\\\\\C=\dfrac{280}{x}+0.14x^2$

To calculate the minimum cost, we derive this function C and equal to zero:

$\dfrac{dC}{dx}=280(-1)\dfrac{1}{x^2}+0.14(2x)=0\\\\\\-\dfrac{280}{x^2}+0.28x=0\\\\\\0.28x=\dfrac{280}{x^2}\\\\\\x^3=\dfrac{280}{0.28}=1000\\\\\\x=\sqrt[3]{1000} =10$

The sides of the room have to be x=10 feet.

The height can be calculated as:

$y=875/x^2=875/(10^2)=875/100=8.75$

The room will have sides of 10 feet and a height of 8.75 feet.

4 0

3 years ago