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marysya [2.9K]
3 years ago
10

Isaak is writing an explicit formula to represent the sequence.

Mathematics
2 answers:
Monica [59]3 years ago
8 0
112/64=1.75
196/112=1.75
343/196=1.75

common ratio is 1.75
denis-greek [22]3 years ago
3 0

Answer:

1.75

Step-by-step explanation:

A geometric progression or sequence is a series of numbers with a special property where the ratio between each consecutive number is the same. This number is called the common ratio.

We can test whether the sequence is geometric by dividing consecutive numbers as follows:

\frac{112}{64} = 1.75

\frac{196}{112} = 1.75

\frac{343}{196} = 1.75

So we can see that the common ratio is 1.75.

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A cable car begins its trip by moving up a hill. As it moves up, it gains elevation at a constant rate of 50 feet/minute until i
victus00 [196]

Answer:

the rate is 40 min.

Step-by-step explanation:

50 times 1 is 50 and 2000 divided by 50 is 40 which gives you 40 min.

4 0
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An object consisting of two endpoints and all of the points between them
Over [174]

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A wildlife service wanted to estimate the number of alligators in a river so they tagged 90 alligators and released them back in
lilavasa [31]
You can solve this with a proportion. If you know that 23 tagged alligators were in a 200 alligator sample, there are 90 tagged alligators in the entire river. Written otherwise:

23/200 = 90/x    

and solve for x:

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3 years ago
If you set aside $9000 at the end of each year for the next 22 years in a Roth IRA, how much will you have at your retirement 22
madam [21]

Answer:

$501,049.37

Step-by-step explanation:

For computing the amount after 22 years we need to applied the future value which is shown in the attachment below:

Given that

PMT = $9,000

NPER = 22 years  

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= -FV(RATE;NPER;PMT;PV)

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7 0
3 years ago
1) El largo de un rectángulo mide el triple que su ancho. Si el ancho mide 12 cm, el perímetro del rectángulo es: Selecciona la
Wittaler [7]

Answer:

1) c) 96 cm

2) c) 17,15 m

3) c) 294 m

4) d) 332 metros

Step-by-step explanation:

1)

La fórmula para el perímetro de un rectángulo = 2L + 2W

= 2 (largo + ancho)

L = longitud

W = ancho

Se nos dice en la pregunta que:

La longitud de un rectángulo es tres veces su ancho. Si el ancho es de 12 cm

Por lo tanto,

L = 3 W

L = 3 × 12

Largo = 36cm

Por lo tanto, el perímetro =

2 (largo + ancho) cm

= 2 (36 + 12) cm

= 2 (48) cm

= 96 cm

2)

La fórmula para el perímetro de un heptágono regular = 7a

Donde a = longitud de un lado

De la pregunta,

a = 2,45 m laterales

Por lo tanto, el perímetro de un Heptágono regular = 7 (2,45 m)

= 17,15 m

3)

La fórmula para el perímetro de un rectángulo = 2L + 2W

= 2 (largo + ancho)

L = longitud

W = ancho

Se nos dice en la pregunta que:

Si un campo de fútbol tiene 98 m de largo y su ancho es igual a la mitad de esta medida,

Por lo tanto,

L = 98 m

W = 1/2 de longitud

Ancho = 1/2 (98)

= 49

Por lo tanto, el perímetro =

2 (largo + ancho) m

= 2 (98 + 49) m

= 2 (147) m

= 294 m

4)

El parque es de forma rectangular.

Longitud = 45 m

Ancho = 38.000 mm

Convertir mm en m

1 milímetro = 0,001 metro

38.000 milímetro =

38.000 × 0,001 metros

= 38 metros (38 m)

La distancia alrededor del parque = perímetro del parque

Perímetro = 2 (L + W)

= 2 (45 + 38)

= 2 (83)

= 166 m

Distancia alrededor del parque una vez = 166 m

Pero nos dijeron que dio la vuelta al parque 2 veces, por lo tanto, la distancia que recorrió = 166 m × 2

= 332m

4 0
3 years ago
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