Calcule el décimo termino de una progresión geométrica que Los términos son 32 , 16 , 8 , 4 ................,

Answers

Answer 1

Respuesta:

1/16

Explicación paso a paso:

Dada la secuencia geométrica: 32, 16, 8, 4 ................,

El enésimo término de una progresión geométrica se obtiene mediante la relación:

enésimo término = ar ^ (n-1)

Dónde ; a = primer término = 32; n = enésimo término; r = razón común

r = a2 / a1 = a3 / a2

r = 16/32 = 8/16

r = 1/2

Por lo tanto, el décimo término:

n (10) = 32 * (1/2) ^ (10 - 1)

n (10) = 32 * (1/2) ^ 9

n (10) = 32 * (1/512)

n (10) = 32/512

n (10) = 1/16

Por lo tanto, el décimo término es 1/16


Related Questions

What is the integer closest to the square root of 17

Answers

Answer:

4

Step-by-step explanation:

[tex]\sqrt{16}[/tex] = 4

Answer:

4.

Step-by-step explanation:

The square root of 17 is 4.12...

square root of 16 is 4

Is this correct?-

Also please don’t just say “yes” or “no”-

Answers

Answer:

a) No

b) No

c) No

d) Yes

Alice found the area of the figure by breaking apart it apart where the dashed line is drawn. Her work is shown below. area of rectangle = bh = 6(2) = 12 mm2 area of triangle = bh = 2(2) = 4 mm2 area of figure = 12 + 4 = 16 mm2 A figure can be broken into a rectangle and triangle. The rectangle has a base of 6 millimeters and height of 2 millimeters. The triangle has a base of 2 millimeters an height of 2 millimeters. What error did Alice make? She didn’t use the correct formula for area of a triangle. She didn’t use the correct formula for area of a rectangle. She didn’t find the height of the triangle correctly. She didn’t add the areas of the triangle and rectangle correctly.

Answers

Answer:

She didn’t use the correct formula for area of a triangle.

Step-by-step explanation:

edg 2021 Sorry for the late answer.

The temperature today will be atleast 10F | on a graph and inequality

Answers

Answer:

Temperature => 10F

Step-by-step explanation:

Mark brainliest if this helped!

Mark brainliest if this helped!

Thank y’all for help

Answers

Answer:

Ask a question so I can answer it -_-

Step-by-step explanation:

Find the measure of AC

Answers

Answer:

7 inch

Step-by-step explanation:

AC= BC+AB

= (BD-CD) + radius of B

= (radius of B-radius of D) + 4.5

=(4.5-2) +4.5

=2.5+ 4.5

=7 inch

I hope this is correct.

The two triangular prisms shown are similar. What is the volume of the larger prism? 36 m2 36 m3 144 m2 144 m3

Answers

Answer:

144 m^3

Step-by-step explanation:

Please find attached the image of the prisms

Volume of a triangular prism = area of the base x height  of the prism

Area of the base = 1/2 ( base x height)

the two prisms are similar, thus, the dimensions of the bigger rectangle can be gotten from the ratio of the base of the smaller and bigger triangle

ratio of their dimensions = 6 / 1.5 = 4

the dimensions of the bigger triangle is 4 times that of the smaller triangle

height of the base of the prism = 1.5 x 4 = 6

Height of the prism = 2 x 4 = 8

Area of the base of the prism = (1/2) x 6 x 6 = 18 m^2

Volume of the prism = 18 x 8 = 144 m^3

Answer:

D. 144 m^3

Step-by-step explanation:

Just took the Pre-Test on Edg (2020-2021)!!

What is the slope of a line that passes through (1, -2) and (2, 4)?

Please help ​

Answers

The formula would be (y2-y1)/(x2-x1)

So, plugging it in, the equation would be (4+2)/(2-1)

Solving that, you get you a slope of 6.

i’ll award brainliest! no links

Given ABC is congruent to XYZ. If AC = 10, determine the length of YZ.

Answers

YZ=8.66 see pic for work

I will give Brainiest For The Correct answer
Factor completely

a2 - a - 20

Worth 20 Points

Answers

(A−5)(A+4) I think that is the right answer

Jada's teacher fills a travel bag with 5 copies of a textbook. The weight of the bag and books is 17 pounds. The empty travel bag weighs 3 pounds. How much does each book weigh?

Answers

Answer:

Correct

5x + 3 = 17

Step-by-step explanation:

So we need to find the book wieght only so take away the bag's weight from the total. 17-3=14. Now it says 5 books so divide 14 by 5 which is 2.8.

= 2.8 pounds

2.8 pounds is the weight of each book

thanks to everyone whos helping

Answers

Answer:

closest to the whole number 1

Step-by-step explanation:

hope this helps :)

The straight line PQ with P(1,6) and Q(-6, 1). PQ is mapped onto P'Q' by a reflection in the line = 2. What are the coordinates of P

Answers

Answer:

[tex]P' = (1,-2)[/tex]

Step-by-step explanation:

Given

[tex]P = (1.6)[/tex]

[tex]Q = (-6,1)[/tex]

Reflection over: [tex]y = 2[/tex]

Required

Determine the coordinates of P'

From the given coordinates, the y coordinates of P is 6 and the line of reflection is at y = 2

Since we are to reflect over y = 2, only the y coordinate of P will be affected.

The idea behind reflecting a point over a line is to have an equal distance between [the original point & the line of reflection] and [the new point & the line of reflection]

So, what to do is:

First, calculate the difference between the y coordinates of P and the line of reflection.

The y coordinate of P is 6 and the line of reflection is at y = 2.

So, the difference is: 6 -2 = 4

Next, subtract the calculated difference from the line of reflection to get the y coordinate of P'

y coordinate of P' = 2 - 4 = -2

Hence, the coordinate of P' is: (1,-2)

A bacteria culture initially contains 2000 bacteria and doubles every half hour.


-Find the size of the bacterial population after 100 minutes.


-Find the size of the bacterial population after 10 hours.

Answers

Answer:

the size of the bacterial population after 100 minutes is 20,158.7 bacteria

the size of the bacterial population after  10 hours is 2097152000 bacteria

Step-by-step explanation:

Given that

The bacteria contains 2000

It would be double at every half hour

We need to find out the size of the bacteria after 100 minutes & 10 hours

So,

The size of the bacteria after 100 minutes is

= 2000 × 2^(100 ÷ 30)

= 2000 × 10.079

= 20,158.7 bacteria

Now the size of the bacteria after 10 hours is

10 hours = 10 × 60 minutes = 600 minutes

= 2000 × 2^(600 ÷ 30)

= 2097152000 bacteria

Which function represents the exponential function f(x) = 34 after a vertical stretch by a factor of 8 and a reflection across the x-axis?

A. g(x) = 3^-8x

B. g(x) = -3^8x

C.g(x) = 8.3-*3^-x

D. g(x) = -8*3^x

Answers

Answer:

D

Step-by-step explanation:-8×3x represents a vertical strech by a factor of

8 and a reflection across the x-axis.

The answer is D.

What is the difference between the circumference of a medium pizza and the circumference of a personal pizza? Round to the nearest hundredth.

Answers

Answer:

?

Step-by-step explanation:

if i made 80 dollars every weekend for a year, how much would i have​

Answers

Answer: You would have 4160$

Step-by-step explanation: there is 52 weeks in a year so 52 times 80

Answer: $4,160!!

The amount of money made multiplied by the amount of time

Solve the equation on the interval [0,2pi)

Answers

The value of θ within the interval is 210 and 330 degrees

Given the equation;

[tex]2sin^2 \theta = 5sin \theta - 3[/tex]

Let P = sinθ

The equation will become;

2P² = 5P - 3

2P² - 5P - 3 = 0

Factorize;

2P² - 6P + P- 3 = 0

2P(P-3) + 1(P -3) =0

2P + 1 = 0 and P - 3  = 0

p = -1/2 and  3

Since P = sinθ

sinθ = -1/2

θ = -30 degres

Since sine is negative in the second 3rd and 4th quadrant

θ = 180 + 30 = 210 degrees

θ2 = 360  - 30 = 330 degrees

Hence the value of θ within the interval is 210 and 330 degrees

Learn more on trigonometry here: https://brainly.com/question/24349828

For every 4 of my wonderful nieces, I want to buy 5 Friendly cupcakes. And I have 12 wonderful nieces.

Answers

Answer:

15 cupcakes

Step-by-step explanation:

I'm guessing you mean that you want to find out how many cupcakes you'll need to buy.

*** 7. Sam and Sue have only nickels and
dimes. Sue has 35€. Sam has the same number of
dimes as Sue has nickels, and he has half as many
nickels as Sue has dimes. How many nickels does
Sue have?

Answers

Answer:

there no photo so I cant answer without seeing it


One number is 2 times the other number. The sum of the numbers is
150. Find the numbers.

Answers

Answer:

x = 50; 2x = 100

Step-by-step explanation:

x + 2x = 150

3x = 150

x = 50

2x = 2(50)

2x = 100

can somebody plz help?e

Answers

Answer:

21.4

Step-by-step explanation:

We can solve for x using trigonometry

Here are the Trigonometric Ratios

Remember SOH CAH TOA

Sine = Opposite over Hypotenuse (SOH)

Cosine = Adjacent over Hypotenuse

Tangent = Opposite over Adjacent

We are given the measure of ∠T ( 72° )

We are also given the adjacent side length (6.6) ( Adjacent = the side length that is not the hypotenuse nor the opposite side length )

And we need to find the hypotenuse ( longest side length )

We this information we can use the trigonometric ratio Cosine to solve for x

That being said we want to set up an equation

(remember cosine = adjacent over hypotenuse )

[tex]cos(72)=\frac{6.6}{x}[/tex]

Now we solve for x

We can't get rid of the 6.6 itself so we want to multiply each side by x

now we have [tex]xcos(72)=6.6[/tex]

Step 2 divide each side by cos(72)

[tex]\frac{xcos(72)}{cos(72)} =x\\\frac{6.6}{cos(72)} \\x=\frac{6.6}{cos(72)}\\cos(72)=0.3090169944\\\frac{6.6}{0.3090169944} =21.35804865\\[/tex]

We're left with x = 21.35804865

Finally we want to round to the nearest tenth of a foot and we get that x = 21.4

How much sand do you need to add to 3.2m^3 of soil with 40% sand in order to make a soil with 60% sand

Answers

Answer:

[tex]1.6m^3[/tex] sand is to be added to make sand percentage [tex]60\%[/tex]

Step-by-step explanation:

From the question we are told that:

Total soil [tex]N=3.2m^3[/tex]

Initial sand percentage [tex]S_1=40\%[/tex]

Final sand percentage[tex]s_2=60\%[/tex]

Generally the sand and other particles division is mathematically given by

[tex]40\% of 3,2=1.28[/tex]

and

[tex]60\% of 3.2=1.92[/tex]

Generally  what will make 60\% of 3.2 40\% is mathematically given by

[tex]x=1.92*0.4\\x=4.8[/tex]

Generally the sand to be added is mathematically given by

[tex]4.8sand-3.2sand =1.6m^3[/tex]

Therefore

[tex]1.6m^3[/tex] sand is to be added to make sand percentage [tex]60\%[/tex]

Sherry and Karl both started their hike with a small bottle filled with water. Tia started her hike with a larger that was 1/2 full. At the end of the hike, Sherry and Tia’s bottles were each half filled with water. Karl’s bottle was filled 1/3 filled with water. Who has the most water left? Construct a math argument to support your answer.

Answers

Answer:

The person with the most water left is;

Tia

Step-by-step explanation:

The parameters given in the question are;

The volume of water Sherry and Karl both started their hike with = 1 small bottle each

The volume of water Tia started her hike with = 1/2 of a larger bottle of water

The volume of water Sherry had at the end of the hike = 1/2 of the small bottle of water

The volume of water Tia had at the end of the hike = 1/2 of the large bottle of water

The volume of water Karl had at the end of the hike = 1/3 of the small bottle of water

Let 'x' and 'y' represent the sizes of the bottles of water with Sherry and Karl  respectively and let 'Z' represent the size of the bottle of water Tia started the hike with, we have;

The volume water with Tia at the end of the hike = 1/2·x

The volume water with Karl at the end of the hike = 1/2·y

The volume water with Tia at the end of the hike = 1/2·Z

Given;

Z > x

Z > y

∴ 1/2·Z > 1/2·x

1/2·Z > 1/3·y

Therefore, Tia with half of the larger bottle of water at the end of the hike, 1/2·Z has the most water left.

Answer this and i will thank you

Answers

Answer:

Answer what? a question needs to be posted.

Step-by-step explanation:

*answer will be updated*

Answer:

24 si efil rewsna eht

Step-by-step explanation:

The number 42 is, in The Hitchhiker's Guide to the Galaxy by Douglas Adams, the "Answer to the Ultimate Question of Life, the Universe, and Everything", calculated by an enormous supercomputer named Deep Thought over a period of 7.5 million years. Unfortunately, no one knows what the question is.

Divisors: 1, 2, 3, 6, 7, 14, 21, 42

Ordinal: 42nd; (forty-second)

Cardinal: forty-two

Binary: 1010102

A bag contains 55 coins of $1 and ¢50 denominations. Find the number of coins of each denomination, if the total amount in the bag is $40.

Answers

Answer:

Number of $1 coins are 25 and number of 50 cent coins are 30.

Step-by-step explanation:

Let's set up the equations.

Let there are x number of $1 coins

There are y number of 50 cent coins

So, x+y =55

1 x+0.50 y =40

Solve the equations for x and y.

Solve the first equation for y.

y=55-x

Substitute y as 55-x into the second equation.

1 x+0.50(55-x)=40

Solve the equation for 'x'.

Distribute the 0.50 to get rid the ( ).

1 x+27.5-0.50 x= 40

Combine like terms

0.50 x +27.5=40

Subtract both sides 27.5

0.50 x =12.5

Divide both sides by 0.50

x=25

Now, plug in x as 25

y=55-25

y=30

So, number of $1 coins are 25 and number of 50 cent coins are 30.

Of the marbles in a​ bag, 5 are blue​, 2 are white​, and 2 are yellow. Sandra will randomly choose one marble from the bag.

Answers

Answer:

[tex]\dfrac{2}{9}[/tex]

Step-by-step explanation:

Given that,

A bag contains 5 blue, 2 white and 2 yellow marbles.

We need to find the probability of choosing a white marble from the bag.

Total no. of outcomes = 5+2+2

= 9

No. of white marbles = 2

Required probability,

[tex]P=\dfrac{2}{9}[/tex]

So, the probability of choosing a white marble is equal to [tex]\dfrac{2}{9}[/tex].

A map scale is 2 in : 15 mi. Two cities are 5.7 in. apart on the map. Find the actual distance between the two cities. Enter the number only.

Answers

Answer:

70!km is the right answer

Step-by-step explanation:

The distance between two cities on a map is 3.5 centimeters. the map is uses a scale in which 1 centimeters represents 20 kilometers.

Winston earns $140.00 by selling 56 hotdogs at a concession stand at school Using the same rate for the cost of one hotdog, how many more hotdogs would Winston need to sell to earn a total of $175.00?

Answers

Answer:

175/2.5=70

Step-by-step explanation:

I’ll give brainliest for whoever is correct

Answers

Answer:

Step-by-step explanation:

1.)12.

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator.

Thus, the answer to 4 divided by 1/3 in fraction form is:

[tex]\frac{12}{1}[/tex]

To make the answer to 4 divided by 1/3 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

12

The answer is rounded to the nearest two decimal points if necessary.

[tex]\frac{12}{1}[/tex] is an improper fraction and should be written as 12.

2.) 9

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