g(n) = -72*(1/6)^n-1 complete the recursive formula

Answers

Answer 1

The recursive formula for g(n) is:

g(1) = -72 (base case)

g(n) = [tex]g(n-1) \times (-1/6)[/tex] (for n > 1)

A recursive formula is a formula that defines a sequence or function by expressing each term in terms of one or more previous terms.

It is a way of defining a sequence or function iteratively, where each term or value depends on the previous terms or values.

To find the recursive formula for [tex]g(n) = -72\times (1/6)^{(n-1)} ,[/tex]   we need to express the function in terms of its previous term, g(n-1).

Notice that g(n) can be obtained by multiplying g(n-1) by -1/6.

This is because:

[tex]g(n) = -72\times (1/6)^{(n-1)}[/tex]

[tex]g(n-1) = -72\times (1/6)^{(n-2) }[/tex]

So we can write:

[tex]g(n) = g(n-1) \times {(-1/6) }[/tex]

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Related Questions

Find the value of y,
96
66

Answers

Answer:

the answer is y=48

Step-by-step explanation:

you divide the arc by 2 if it's an inscribed angle

Answer: 48

Step-by-step explanation: 96/2

Element X is a radioactive isotope such that every 28 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 50 grams, how much of
the element would remain after 11 years, to the nearest whole number? I will give brainly for it

Answers

Answer:

38

Step-by-step explanation:

rewrite 4 x 4 x 4 x 4 As a exponent
rewrite A x A x A as an exponent

Answers

Answer:

Step-by-step explanation:

[tex]4^4\\A^3[/tex]

Answer:

[tex]4^{4}[/tex] and [tex]A^{3}[/tex]

Step-by-step explanation:

Find the volume

A. 150 cm3

B. 180 cm3

C. 90 cm3

D. 90 cm2

Answers

Answer:

268 in²

Step-by-step explanation:

The surface area is basically the entire area of the figure. You can do it multiple ways, but this is how I did it. I found the area of each side and added them all together. There are three sets of identical sides. First, we'll calculate the area of the side with lengths 10" and 8".

10 · 8 = 80

There are two of these sides, so currently we have 80 + 80.

Next, the area of the sides with lengths 8" and 3". These are the sides at the top and bottom.

8 · 3 = 24

So to our equation we now have 80 + 80 + 24 +24.

For the final two sides, we have the dimensions 10" and 3".

10 · 3 = 30

To our equation, we add this to get 80 + 80 + 24 + 24 + 30 +30.

Add all these numbers together for 268.

In the correct form, we add the square symbol to show that we are talking about area. The answer is 268 in². Good luck :D

HELP ME WITH THE EQUATION!!! IF ITS CORRECT ILL GIVE BRAINIST

Answers

Answer:

The equation would be F = C - 3m

Step-by-step explanation:

Based on the chart, the fee for each movie you rent costs 3 dollars. The F is the monthly membership fee, the m is the number of movies rented, the 3 is the fee for each movie rented, & the C is the cost.

I really hope that it helps.

Pi approx A cylinder has a height of 20 yards and a diameter of 18 yards . What is its volume ? Use 3.14 and round your answer to the nearest hundredth .

Answers

Answer:

5086.8 cubic yards

Step-by-step explanation:

Given data

Height = 20yards

Diamter= 18 yards

Radius= 9 yards

The expression for the volume of a cylinder is given as

V=πr^2h

substitute

V=3.14*9^2*20

V=3.14*81*20

V=5086.8 cubic yards

Kit charges customers an initial fee plus a certain amount per hour to walk their pets. The table below shows the amount of money that Kit earns at her job based on the number of hours that she works. Which of the following equations represents a scenario where Kit would charge customers a higher rate to walk their pets than what is shown in the table?

Answers

Answer:

The answer would be 7.5

Step-by-step explanation:

This is due to if there were to be a chart it would start at 15 then continue by 7.5 which would then lead to 1 hour which is 22.5 min additionally other people are not answering this because you did not give all the information such as the chart etc and the answers unlike me i have the toolds and the questions.

The equation y = 8x+10 represents a scenario where Kit is charged a higher hourly rate to walk their pets.

What is a linear equation?

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

If in the linear equation one variable is present then the equation is known as the linear equation in one variable.

As per the table:

When the hours are 0 earnings are $15

Initial fee = $15

And when hours are 1 earnings is 22.5

∴ $22.5 = initial fee + hourly rate

Hourly rate to walk their pets = 22.5 - 15 = $7.5

So from the equation:

y = 7.25x + 20

Here 7.25 is the hourly rate to walk their pets and 20 represents the initial cost.

After observing all the equations:

In the equations:

y = 8x + 10

The hourly rate to walk their pets is 8 and the initial cost is $10 in this case Kit is charged a higher hourly rate.

Thus, the equation y = 8x+10 represents a scenario where Kit is charged a higher hourly rate to walk their pets.

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Can someone help me ASAP please

Answers

Answer:

x = 10.3

y = 5.8

Step-by-step explanation:

To find both x and y, you can use the formula [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

a and b would be the sides that touch the right angle

so to find x, you would do [tex]9^{2}[/tex] + [tex]5^{2}[/tex] = [tex]x^{2}[/tex]

this would be: 81 + 25 = [tex]x^{2}[/tex]

then add it and you get: 106 = [tex]x^{2}[/tex]

now do the square root of 106 to get: 10.3 = x

Now plug in your other values to get y: [tex]5^{2}[/tex] + [tex]3^{2}[/tex] = [tex]y^{2}[/tex]

do the same thing here: 25 + 9 = [tex]y^{2}[/tex]

add your numbers: 34 = [tex]y^{2}[/tex]

square root 34: 5.8 = y

A sphere and a right cylinder have the same radius and volume. The cylinder has a height of 6 centimeters. Find the radius.
cm

Answers

Answer:

I think 4.5 cm.

Step-by-step explanation:

Hope that may be right.

The price of the AC unit with tax is $2,350. If she can save $115 per month, how long will it take to save up for the air condition?

Answers

Answer:

20 months approx

Step-by-step explanation:

Given data

Price=$2,350

Monthly savings=  $115 per month

Hence the duration of time to save up $2,350 is given as

=2,350/115

=20.434

Hence the time is 20 months approx

Two tanks are being filled. Tank 1 is being filled at a rate of 3/4 gallon per 2/3minute
Tank 2 is filling at a rate of 5/8gallon per 1/2minute. Which tank is filling faster?

Answers

Answer:

Tank 2 filling faster

Step-by-step explanation:

Tank 1 filling at 1 1/8 gallons per minute (3/4 ÷ 2/3)

Tank 2 filling at 1 1/4 gallons per minute (5/8 ÷ 1/2)

Identify the image of ∆XYZ for a composition of a 300° rotation and a 60° rotation, both about point Y.
HElppppppp 10 mins left

Answers

Answer:

First Image is the orginal image of ∆XYZ, and the second is the composition of a 300° rotation and a 60° rotation (360°)

The image of ∆XYZ for a composition of a 300° rotation and a 60° rotation, both about point Y is 360°

What is trigonometry?

Trigonometric ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

various ratios are:-

sin=perpendicular/hypoteneusecos=base/hypotenusetan=perpendicular/base   (tan30°)=5/bcot=base/perpendicularsec=hypotenuse/basecosec= hypotenuse/perpendicular

The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as trigonometric.

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how to solve for x? please help me please fast

Answers

Answer:

21.4, Because x is starts at 11 ending far away down, which means x has to be longer than 11

Step-by-step explanation:

:b

Answer:

girl drop link and I will sc all answers

Identify slope (m) and y-intercept (b): 4y - 3x = 4*
1. m = 4/3 b = 4
2. m = 3/4 b = 1
3. m=-3 b = 4
4. m = 3/4 b = 4

Answers

Answer:

2.

Step-by-step explanation:

y = 3/4x +1

m = 3/4 b = 1

hope this helps

The answer is two. You have simplify the solution to get it to y=mx+b form

2/5 meters= blank cm

Answers

Answer:

⅖ m = 40 cm

Step-by-step explanation:

1 meter = 100 cm

1 : 100 = 2/5 : y

1 × y = 100 × 2/5

y = 40

2/5cm=40cm this is the answer

Umm ... NO FILES/LINKS !!!

Answers

9 and 1/3

You can set up a proportion where
2/9 = ?/42

Cross multiply so 42 x 2 = 84
Then divide so 84/9 = your answer

Answer:

189.

Step-by-step explanation:

I divided 42 by 2 and got 21..

Then, I multiplied 21 by 9 and got 189!

In a school with 2,000 students, 250 are athletes. Of those athletes, 120 lift weights in addition to participating in their primary sport. Thirty-seven athletes lift weights as their primary sport. The newspaper wants to select five athletes at random from the school to interview. What is the population size?

A.) 37
B.) 120
C.) 250
D.) 2,000

Answers

Answer:

c

Step-by-step explanation:

Isabel has ridden 16 miles of a bike course. The course is 80 miles long. What percentage of the course has Isabel ridden so far?

Answers

Answer:

20%

Step-by-step explanation:

Divide 16 by 80 and you get 0.2 as an answer and to get a percent you move the decimal 2 places to the right to fet 20%

Isabel has completed 20 percent of the race of 80 miles.

What is the percentage?

A percentage is a quantity or ratio that, in mathematics, represents a portion of one hundred. It is one method for illustrating a relationship between two integers that has no dimensions.

Given, Isabel has ridden 16 miles of a bike course. The course is 80 miles long.  From the general formula of percentage:

For the percentage, we have to divide the value by the total value and then multiply the result by 100.

percentage of the course has Isabel ridden so far = (16/80) * 100

percentage of the course has Isabel ridden so far = 1/5*100

percentage of the course has Isabel ridden so far = 20%

Therefore, Isabel has ridden 20 percent of the course which is 80 miles.

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Please please help!!! Giving brainiest

Answers

Answer:

8.8 ounces

Step-by-step explanation:

3.96 ÷ 0.45 = 8.8

she bought 8.8 ounces of ground coffee

A trapezoid has a median measuring 24 units. Its area is 96 square units. The height of the trapezoid has a length

Answers

Answer:

don't click or open people links here they are people trying to get info off of you for their benefits or trying to give you viruses. report them.

The height of the trapezoid has a length of 4 units

Calculating the sides of a trapezium

From the question, we are to determine the height of the trapezoid

The area of a trapezoid can be calculated by the formula,

[tex]A = \frac{1}{2}(a+b) h[/tex]

Where A is the area

a and b are the bases

and h is the height

The median of a trapezium is given by

[tex]\frac{1}{2} (a+b)[/tex]

From the given information,

A = 96 square units

[tex]\frac{1}{2}(a+b) = 24 \ units[/tex]

Putting the parameters into the formula,

96 = 24 × h

h = 96 ÷ 24

h = 4 units

Hence, the height of the trapezoid has a length of 4 units

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How much larger is 6 x 10^5 compared to
2 x 10^3?Explain how you know.

Answers

Answer:

6 x 10^5 is 300 times greater than 2 x 10^3.

Step-by-step explanation:

Use division to compare.

(6 × 10^5)/(2 × 10^3) = 6/2 × 10^5/10^3 = 3 × 10^2 = 3 × 100 = 300

6 x 10^5 is 300 times greater than 2 x 10^3.

There is 6 × 10⁵ is 300 times greater than 2 × 10³.

What is the Scientific Notation?

Scientific Notation is a way of writing down in the easy form of very large or very small numbers.

The exponents are given in the question, as follows:

6 × 10⁵ and 2 × 10³

The exponents in scientific notation as a shorthand for the number of zeroes in the number.

We use division to compare.

( 6 × 10⁵)/(2 × 10³)

= 6/2 × 10⁵/10³

= 3 × 10²

= 3 × 100

= 300

This means 6 × 10⁵ is 300 times greater than 2 × 10³

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Three of the flowers in the bouquet are lilies. There are a dozen flowers total. What percent of the flowers were lilies?

Answers

Answer:

25%

Step-by-step explanation:

3/4 ft= blank inches

Answers

Please don’t open any links the answer is 9 inches I read it as

3/4 feet = inches

What is the answer help plz​

Answers

Answer:

2. 77.9

Step-by-step explanation:

I think its that i looked up the formula sorry if im wrong

Vicky cut a string into 4 equal pieces. She started with a string that was 5.4 inches long. How many inches long was each piece that Vicky​ cut?

Answers

Answer: 1.35 inches

hope this helps

Do 2b+b and 3b have the same value for all values of b

Answers

Answer:

Expression 2b+b and 3b have same values for all values of b.

Step-by-step explanation:

Given the two expression 2b+b2b+b and 3b3b and values of b as 1, 2 and 3.

Consider first expression that is, 2b+b2b+b .

Substituting the value of b=1b=1 ,

2\left(1\right)+\left(1\right)=2+1=32(1)+(1)=2+1=3 ....1

Substituting the value of b=2b=2 ,

2\left(2\right)+\left(2\right)=4+2=62(2)+(2)=4+2=6 ....2

Substituting the value of b=3b=3 ,

2\left(3\right)+\left(3\right)=6+3=92(3)+(3)=6+3=9 ....3

Consider second expression that is, 3b3b .

Substituting the value of b=1b=1 ,

3\left(1\right)=33(1)=3 ....4

Substituting the value of b=2b=2 ,

3\left(2\right)=63(2)=6 ....5

Substituting the value of b=3b=3 ,

3\left(3\right)=93(3)=9 ....6

For value of b=1, equation 1 and equation 4 are same, for value of b=2, equation 2 and equation 5 are same and for value of b=3 equation 3 and equation 6 are same.

Therefore both expression are same for all values of b.

Step-by-step explanation:

Hope it helps you!

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Calculate the discriminant f(x)=x2-4x+7

Answers

Answer:

Option 1,3,4,6 are correct

Explanation

Step-by-step explanation:

we have formula for discriminant that is D=b^{2} -4acD=b

2

−4ac

when D>0 the roots are real and unequal

when D= 0 roots are real and equal

and when D< 0 roots are imaginary or not real and unequal

In 1st equation: x^2+6x+8x

2

+6x+8

a=1,b=6,c=8 on substituting the values in the formula we will get

D=6^2-4(1)(8)=4 > 0D=6

2

−4(1)(8)=4>0 hence real and unequal roots.

In 2nd equation:x^2+4x+8x

2

+4x+8

a=1,b=4,c=8 on substituting values in formula

D=4^2-4(1)(8)=-16 < 0D=4

2

−4(1)(8)=−16<0 so roots are not real

In 3rd equation x^2-12x+3x

2

−12x+3

a=1,b=-12,c=3 on substituting values

D=D=(-12)^2-4(1)(3)=132 > 0D=(−12)

2

−4(1)(3)=132>0 roots are real and unequal

In 4th equation: x^2+4x-1x

2

+4x−1

a=1,b=4,c=-1 on substituting the values

D= 4^2-4(1)(-1)=20 > 0D=4

2

−4(1)(−1)=20>0 real roots

In 5th equation:5x^2+5x+45x

2

+5x+4

a=5,b=5,c=4 on substituting the values

D=5^2-4(5)(4)=-55 < 0D=5

2

−4(5)(4)=−55<0 roots are not real

In 6th Equation: x^2-2x-15x

2

−2x−15

a=1,b=-2,c=-15 on substituting the values

D=(-2)^2-4(1)(-15)=64 > 0D=(−2)

2

−4(1)(−15)=64>0 roots are real

HELP PLZ
"Is triangle ABC a right triangle? Use measurements from all sides of the triangle to argue yes or no"​

Answers

Answer:

no 12,5,12

Step-by-step explanation:


84 km
35 km
What is the length of the hypotenuse?

Answers

Answer:

Hypotenuse is 91 km

Step-by-step explanation:

a² + b² = c²

35² + 84² = c²

1225 + 7056 = c²

c² = 8281

[tex]\sqrt{c^2} =\sqrt{8281}[/tex]

c = 91

what is the circumference of a circle with a radius of 14 centimeters

Answers

Answer:

c= πD

Step-by-step explanation:

22/7×28 =88

=88cm,

Circumference of circle = 2πr

= 2 × 22/7 × 14

= 2 × 22 × 2

= 44 × 2

= 88 cm²

Easyy!

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