f(3) = 12 for a geometric sequence that is defined

recursively by the formula f(n) = 0.5 ∙ f(n – 1), where

n is an integer and n > 0.

Write the equation in explicit form.

Answer:

32

Step-by-step explanation:

The given expression is :

12.8+6(n-0.5)

We need to evaluate the expression for n = 3.7

Put n = 3.7 in the above expression.

12.8+6(3.7-0.5)

= 12.8+6(3.2)

= 12.8 + 19.2

= 32

So, the value of the given expression is equal to 32.

Answer:Hey I go to ohva the answer is c

Step-by-step explanation:I took the test

The option (C) versi-colour, because the difference between the minimum and Q1 is greater, is the correct choice.

A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.

We have:

A flower shop sells two types of Iris flowers: first flower and second flower.

The data is shown in the picture.

As we know, the median is the mid-value.

The min value for the first flower = 45

The min value for the second flower = 30

Q1 value for first flower = 51

Q1 value for second flower = 40

Difference between min and Q1 for first flower = 6

Difference between min and Q1 for second flower = 10

6 < 10

Thus, the option (C) versi-color, because the difference between the minimum and Q1 is greater, is the correct choice.

Learn more about the median here:

brainly.com/question/21396105

#SPJ2

Answer:

B

Step-by-step explanation:

V=[tex]\pi r^{2} h[/tex]

V=3.14*[tex](16/2)^{2}[/tex]*3

V=3.14*[tex]8^{2}[/tex]*3

V=3.14* 64*3

V=602.88 which rounds up to 602.9

Do you have the options for this?

Answer:

4,200

Step-by-step explanation:

Tenemos un total de:

4 libros de matemáticas

3 libros de biología

3 libros de religión

10 libros en total.

Ahora vamos a contar la cantidad de opciones que tenemos para cada posicion.

Primer libro (tenemos 10 opciones)

segundo libro (tenemos 9 opciones, porque ya colocamos un libro)

tercer libro (tenemos 8 opciones, porque ya colocamos dos libros)

Con esto ya podemos estimar el número de opciones para cada posicion, y sabemos que el número total de combinaciones es igual al producto entre los números de opciones para cada caso. El número total de combinaciones es:

C = 10*9*8*7*6*5*4*3*2*1 = 10!

Ahora si asumimos que no podemos diferenciar los libros de matemáticas, entonces no debemos contar sus permutaciones (si tenemos 4 libros de matemáticas, tenemos 4*3*2*1 permutaciones = 4! permutaciones). Debemos dividir al numero total de combinaciones por 4!.

Y lo mismo pasa para las 3! permutaciones de los libros de biología y las 3! permutaciones de los libros de religión.

Entonces el número total de combinaciones diferentes es:

[tex]C = \frac{10!}{3!*4!*3!} = \frac{10*9*8*7*6*5*4*3*2*1}{(3*2*1)*(4*3*2*1)*(3*2*1)} = 4,200[/tex]

Hay 4200 diferentes formas de ordenar los libros.

Answer:

v=2500-312.5x, after 3 years its worth 1562.5$

Step-by-step explanation:

The interior angles of any triangle must add up to 180° in measure. Right angles have measure 90°, so the missing angles in both triangles here have measure 45°.

In a 45°-45°-90° triangle, the legs and hypotenuse occur in a ratio of 1 : √2. This means

(1) x = 48 √2

(2) 88 = √2 x   →   x = 88 / √2 = 44 √2

You could also set up trigonometric equations to solve for x in each case:

(1) cos(45°) = 48 / x   →   x = 48 / cos(45°) = 48 / (1 / √2) = 48 √2

(2) cos(45°) = x / 88   →   x = 88 cos(45°) = 88 (1 / √2) = 44 √2

Step-by-step explanation:

The interior angles of any triangle must add up to 180° in measure. Right angles have measure 90°, so the missing angles in both triangles here have measure 45°.

In a 45°-45°-90° triangle, the legs and hypotenuse occur in a ratio of 1 : √2. This means

(1) x = 48 √2

(2) 88 = √2 x   →   x = 88 / √2 = 44 √2

You could also set up trigonometric equations to solve for x in each case:

(1) cos(45°) = 48 / x   →   x = 48 / cos(45°) = 48 / (1 / √2) = 48 √2

(2) cos(45°) = x / 88   →   x = 88 cos(45°) = 88 (1 / √2) = 44 √2

171.248 Answer:

Step-by-step explanation:

You need to divide 600 by .35

Answer is

Answer:

cosA = 8/17

Step-by-step explanation:

cos =  adjacent/hypotenuse

The number that is adjacent to angle A is 24 and the hypotenuse is 51

Plug the numbers into the cosine equation, which would look like:

Cos A = 24/51

You can simplify the fraction by dividing it by 3

So Cos A = 8/17 or 0.89130173...

Answer:

5x^2-19x-36

Step-by-step explanation:

(2x)(3x) + (2x)(4) - (9)(3x) - (9)(4)

5x^2 + 8x - 27x - 36

5x^2 - 19x - 36

Expression as a trinomial is  6x² -19x -36.

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

Given:

An expression,

(2x – 9)(3x +4).

To express as a trinomial:

(2x – 9)(3x +4),

= 6x² -27x + 8x -36

= 6x² -19x -36

Trinomial is a quadratic function.

Therefore, as a trinomial is 6x² -19x -36.

To learn more about the quadratic function;

https://brainly.com/question/11485644

#SPJ2

Answer:

1. ∠1 = 120°

2. ∠2 = 60°

3. ∠3 = 60°

4. ∠4 = 60°

5. ∠5 = 75°

6. ∠6 = 45°

Step-by-step explanation:

From the diagram, we have;

1. ∠1 and the 120° angle are corresponding angles

Corresponding angles are equal, therefore;

∠1 = 120°

2. ∠2 and the 120° angle are angles on a straight line, therefore they are supplementary angles such that we have;

∠2 + 120° = 180°

∠2 = 180° - 120° = 60°

∠2 = 60°

3. Angle ∠3 and ∠2 are vertically opposite angles

Vertically opposite angles are equal, therefore, we get;

∠3 = ∠2 = 60°

∠3 = 60°

4. Angle ∠1 and angle ∠4 an=re supplementary angles, therefore, we get;

∠1 + ∠4 = 180°

∠4 = 180° - ∠1

We have, ∠1 = 120°

∴ ∠4 = 180° - 120° = 60°

∠4 = 60°

5. let the 'x' and 'y' represent the two angles opposite angles to ∠5 and ∠6

Given that the two angles opposite angles to ∠5 and ∠6 are equal, we have;

x = y

The two angles opposite angles to ∠5 and ∠6 and the given right angle are same side interior angles and are therefore supplementary angles

∴ x + y + 90° = 180°

From x = y, we get;

y + y + 90° = 180°

2·y = 180° - 90° = 90°

y = 90°/2 = 45°

y = 45°

Therefore, we have;

∠4 + ∠5 + y = 180° (Angle sum property of a triangle)

∴ ∠5 = 180 - ∠4 - y

∠5 = 180° - 60° - 45° = 75°

∠5 = 75°

6. ∠6 and y are alternate angles, therefore;

∠6 = y = 45°

∠6 = 45°.

Answer:

The slope is 0.

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given sequence:

We can see this is a GP and its common ratio is:

Common ratio

Common ratio is 1/2

Answer:

it is 75% sheeeesh. jdjdjd

Step-by-step explanation:

3/4

Answer:

75%

Step-by-step explanation:

Let the answer be 'x'

40 × x/100 =30

40x/100 = 30

40x= 3000

x =3000÷40

x= 75

thus 30 is 75% of 40

Answer:

the answer should be 6 cm

Step-by-step explanation:

I believe that is it

Answer:

The slope is 15

Step-by-step explanation:

Points on the graph: (2, 30) and (4, 60)

Slope:

m = (y2-y1)/(x2-x1)

m=(60-30)/(4-2)

m=(30)/2

m= 15

Answer:

=54

Step-by-step explanation:

give me the brainiest

Answer:

ACD would equal 117 degrees.  ACB would equal 63 degrees.

Answer:

b........... ........

Answer:

B.125

Step-by-step explanation:

25:30->?:150

150/30=5

25:30x5=125:150

Answer:

20.78 feets

Step-by-step explanation:

Based on the solution diagram attached below :

The height at which the step ladder meets the house can be obtained thus :

Using trigonometry :

Sin θ = opposite / hypotenus

Sin θ = h / 24

Sin 60 = h / 24

0.8660254 = h/24

Height, h = 0.8660254 * 24

Height, h = 20.78 feets

Answer:

Step-by-step explanation:

Formula

V = pi r^2 h

Givens

H = 9 feet

r = 4 feet

Solution

V = 3.14 * 4^2 * 9

V = 3.14 * 16 * 9

V = 452 square feet. Perhaps that 425 has a reverse digit in it. I'm sure that's the problem.

Answer:

1/2

Step-by-step explanation:

Pick two points on the line

I picked (0, 2) and (2, 3)

m = (3-2)/(2 -0) = 1/2

Answer:

If the height is tripled and the area is 12 times larger, the base would be 8 times larger.

Step-by-step explanation:

Area of Triangle = 1/2(base × height)

If the area is 1 foot and the height is 1 foot, that means the base is 2 feet, since 1 = 1/2(2 × 1)

Now, if the height is tripled and the area is 12 times larger, then the base would have to be 8 feet, since 12 = 1/2(8 × 3)

Answer:

27

Step-by-step explanation:

[tex]9 + 9 + 9 = 27[/tex]

3 sides

I am sorry if this is wrong

Answer:

2 units

Step-by-step explanation:

Congruent triangles are those triangles, which have same shape & size (same side & angle size).

If  ΔEFG ≅ ΔXYZ. And, E (0, 0), F (0, 2), and G (3, 0)

So, length EF = length XY.

Length of E (0,0) & F (0,2) is 2 units

As triangles are congruent, EF = XY

Hence, measure of XY = 2 units

Answer:

2 units

Step-by-step explanation:

Respuesta:

3x-y-1 = 0

Explicación paso a paso:

La forma estándar de ecuación de una línea se expresa como y = mx + b

M es la pendiente

b es la intersección con el eje y

Dada la coordenada P1 (2,5) y P2 (4,11)

Pendiente m = y2-y1 / x2-x1

m = 11-5 / 4-2

m = 6/2

m = 3

Sustituya m = 3 y (2,5) en y = mx + b

5 = 3 (2) + b

5 = 6 + b

b = 5-6

b = -1

Obtén la ecuación

y = 3x-1

Igualar a cero

y - 3x +1 = 0

Multiplicar por -1

3x-y-1 = 0

Esto da la ecuación requerida