Write the recursive formula for the following sequence 2, 8, 32, 128

Answers

Answer 1

Answer:

an+1 = 4an

Step-by-step explanation:

an+1 = 4an        commonratio:   r=4

2

2x4=8

8x4=32

32x4=128


Related Questions

Joey has completed a portion of his weekend chores. This portion is represented by the point on the number line below. What percentage is represented by the point on the number line?

A. 12.5%
B. 60%
C. 75%
D. 80%

Answers

Answer:

C - 75%

Step-by-step explanation:

6/8 = 75%

If 12Kg of chicken feed cost 20 how much would 5kg cost?
and what is the unit rate? ( price per 1 kg)

Answers

Step-by-step explanation:

if you 12kg cost 20 what about 5kg that will be 5kg×20÷12kg= 8.33 when you round of to the nearest hundredth this is the price of 5kg

sorry but i dont think i know how to answer the other question i have done what i only know thankyou

Please help me i need help!!!

Answers

Answer:

sorry cant help with that

Step-by-step explanation:

The pair of figures to the right are similar. The area of one figure is given. Find the area of the other figure to the nearest whole number.

Answers

answer:

148ft²

explanation:

to solve this problem, we must set up a proportion.

[tex]\frac{side (L)}{area(L)} = \frac{side(S)}{area(S)} \\\frac{15}{185} = \frac{12}{x}[/tex]

15x=2220

x=148ft²

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what is the third quartile of the following data set? 24,20,35,43,28,42,25,29,44,21,37

Answers

Answer:42 is the third quartile

Step-by-step explanation:

Find the value of the expression 1/2x+3 if x=12

Answers

Answer:

The answer is 9.

Step-by-step explanation:

1/2 * 12 = 6

6+3=9

Answer:

9

Step-by-step explanation:

x = 12

1/2 · 12 = 6

6 + 3 = 9

The function h(x) is a transformation of the square root parent function, f(x) = pi x. What function is h(x)?​

Answers

Answer:

A

Step-by-step explanation:

you can see graph of f(x) changed one unit to the left, since it goes to the left, you should +1 in terms of x. so sqr x+1 is the solution. one way to think about that is you plus one for every x value, that means you get to a point previously for one unit. and turns out it looks like you moves to the left.

Hope that helps

Please the answer ... Integral

Answers

Answer:

[tex]\frac{dx^{2} (x+1)S^{2} }{2(x^{2} +6x+3)^{2} }+ C[/tex]

Step-by-step explanation:

Which term best describes vthe figure shown below

Answers

Answer:

Line LM

Step-by-step explanation:

     A ray has a point at one end, this figure does not.

     A line goes out forever in both ends, this is shown by the two arrows. Line LM describes this figure.

     Points LM are going to be two separate points, this figure does not have points.

     Plane LM will have three points to show a plane, this is a single line.

     Using these definitions and facts we know, we can figure out this is best described as Line LM.

Ella rolls a die and then flips a coin. The sample space for this compound event is represented in the table (H is heads and T is tails). Complete the table and the sentence beneath it. Die 1 2 3 4 5 6 Coin heads H-1 H-2 H-3 H-5 H-6 tails T-1 T-3 T-4 T-5 The size of the sample space is .

Answers

The size of the sample space is { H-1 H-2 H-3 H-5 H-6 T-1 T-3 T-4 T-5 }

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

Sample space is the set of all possible outcome the considered random experiment can result to.

Thus, suppose we toss a coin, then tossing a coin is a random experiment, and the sample space is {'head', 'tail'}.

We ignore other outcomes like slant coin, or standing coin by assuming that coin is very thin to stand and always falls down.

Ella rolls a die and then flips a coin.

The sample space for this compound event is represented in the table (H is heads and T is tails).

Die 1 2 3 4 5 6

Coin: heads H-1 H-2 H-3 H-5 H-6

tails T-1 T-3 T-4 T-5

Hence, the size of the sample space is { H-1 H-2 H-3 H-5 H-6 T-1 T-3 T-4 T-5 }

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#SPJ5

Answer:

hope this works for you

Step-by-step explanation:

How do I solve it the problem completely

Answers

Answer:

42 in²

Step-by-step explanation:

Total: Shape 1 + Shape 2

Area of a square: l x w, where l is the length and w is the width.

= 6 x 5

= 30

Area of a triangle: 1/2 x b x h, where b is the base and h is the height.

= 1/2 x 4 x 6

= 1/2 x 24

= 12

Total = 30 + 12

= 42 in²

Answer:

Step-by-step explanation:

This figure is trapezium

a and b are the parallel lines.

a = 5 +4 = 9 in  & b = 5 in   and h = 6 in

[tex]\boxed{\text{Area of trapezium =$\dfrac{(a+b)*h}{2}$}}[/tex]

                              [tex]\sf = \dfrac{(9+5)*6}{2}\\\\=\dfrac{14*6}{2}\\\\= 7*6\\\\= 42 \ in^{2}[/tex]

Solve for the b 4 ( b + 5 )- 2b = 100

Answers

4 ( b + 5 )- 2b = 100

____________________

B  =  40

Answer:

[tex]\tt b=40[/tex]

Step-by-step explanation:

[tex]\tt 4 ( b + 5 )- 2b = 100[/tex]

[tex]\bf Expand\; (Apply\; Distributions\; Law) :-[/tex]

[tex]\tt 2b+20=100[/tex]

[tex]\tt 2b+20-20=100-20\;\; (Subtract \;20\; from\; both \;sides)[/tex]

[tex]\tt 2b=80[/tex]  [tex]\tt (Simplify)[/tex]

[tex]\tt \cfrac{2b}{2}=\cfrac{80}{2}\;\;( Divide\; both \;sides\: by\; 2)[/tex]

[tex]\tt b=40[/tex]

~

This is a spinner for a game board. color the spinner to show 20% chance of black and 80% chance of red.

Answers

Answer:

Step-by-step explanation:

Divide the circle into 10 parts and color 2 parts black and 8 parts red.

For a period of time, an island’s population grows at a rate proportional to its population. If the growth rate is 4.5% per year and the current population is 1500, what will the population be 6 years from now

Answers

The population of the island with growth rate of 4.5% per year and the current population is 1500 is 1953 after 6 years.

How to solve an exponential function

Let y represent the population after x years.

Given that the growth rate is 4.5% per year and the current population is 1500.

Hence a = 1500, b = 100% + 4.5% = 104.5% = 1.045

y = 1500(1.045)ˣ

After 6 years:

y = 1500(1.045)⁶ = 1953

The population of the island with growth rate of 4.5% per year and the current population is 1500 is 1953 after 6 years.

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A very slow man walks

20 cm.in 0.5 left, what his

velocity in meter per second?

Answers

Displacement(d)=0.2m
Time taken(t)= 30 s(1min=60 s)
Velocity (v)=?
We know that,
Velocity (v) = d/t
=0.0067

A relief worker needs to divide 1350 bottles of water and 144 cans of food into boxes that each contain the same number of items.​ Also, each box must contain the same type of item​ (bottled water or canned​ food). What is the largest number of relief supplies that can be put in each​ box?

Answers

The largest number of relief supplies that can be put in each box is 75 bottles and 8 cans of food respectively.

How to find highest common factor

The factors of:

1350 = 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675 and 1350.

144 = 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and 144.

The highest common factor of 1350 and 144 is 18

1350 bottles / 18

= 75 bottles per box

144 cans of food / 18

= 8 cans of food per box

So, there 18 boxes of items, each containing 75 bottles and 8 cans of food respectively.

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What does using the degrees of freedom in a sample correct for? possible bias between the alternative and null hypotheses possible bias between the sample and the population possible bias between the standard deviation and variance possible bias between the standard deviation and the mean

Answers

In Statistics and mathematics, the degrees of freedom in a sample are used to correct: A. possible bias between the alternative and null hypotheses.

What is a null hypothesis?

A null hypothesis ([tex]H_0[/tex]) can be defined as the opposite of an alternate hypothesis ([tex]H_a[/tex]), and it asserts that two (2) possibilities are the same.

In In Statistics and mathematics, the test statistics of a given sample is calculated with this formula:

[tex]Z=\frac{x\;-\;u}{\frac{\delta}{\sqrt{n} } }[/tex]

Where:

x is the sample mean.u is the mean.is the standard deviation.n is the sample size.

Also, the degrees of freedom in a sample are used to correct a possible bias that exists between the alternative and null hypotheses.

Read more on null hypothesis here: https://brainly.com/question/14913351

Two red and two blue blocks are
placed into a bag. You randomly
take one block out of the bag. If
you replace the block each time,
how many red blocks would
you expect to take out if you try
8 times?

Answers

Answer:

1/3

Step-by-step explanation:

Probability of an Event =  Number of Favorable Outcomes/Total Number of Possible Outcomes

The equation is:

Answer: the number of labor was :

Answers

Answer:

equation: 1368 = 380 +52xlabor hours: 19

Step-by-step explanation:

The desired equation will relate labor cost, parts cost, and total cost.

A.

The total cost is the sum of the parts cost and the product of labor hours and labor rate. We're told to use x to represent labor hours.

  total cost = part cost + (labor rate)(labor hours)

  1368 = 380 + 52x

__

B.

This equation can be solved in 2 steps:

  988 = 52x . . . . . . . step 1, subtract 380 from both sides

  19 = x . . . . . . . . . . step 2, divide both sides by the coefficient of x

The number of labor hours was 19.

in the figure d||m. what is the value of x?

Answers

Step-by-step explanation:

2X - 20 =86 ( Alternate angles are equal)

2X = 86 - 20

2X = 66

X = 33


At a local pizza shop 2 pizzas will serve 6 people.
How many people will 8 pizzas serve?

Answers

2pizza serves 6 people
1pizza serves 6/2 people
8pizza serves 6/2*8
=24people
8pizza serves 24 people

Please Help ASAP (show work if you want its not needed i just need the answer)

Answers

[tex] \cos(60) = \frac{12}{x} \\ [/tex]

[tex] \frac{1}{2} = \frac{12}{x} \\ [/tex]

[tex]x = 24[/tex]

_____________________________________________

[tex] \sin(60) = \frac{y}{x} \\ [/tex]

[tex] \frac{ \sqrt{3} }{2} = \frac{y}{24} \\ [/tex]

[tex]y = 12 \sqrt{3} [/tex]

4
Ms. Thorson bought a piece of lace that was 3 feet long. She cuts off as many pieces as possible that are 9 inches long. Will Ms. Thorson have any lace left over? Show and explain your work.

Answers

Answer:

No

Step-by-step explanation:

1 foot = 12 in.

3 feet = 36 in.

36 / 9 is 4

4 is an integer

Therefore, none will be left

Answer:

No , there will not be any piece left

Step-by-step explanation:

No of feet :- 3 feet which is 36 inches

If we cut of 36 inches in part each of 9 inch we will get 4 parts of 9 inch

36/9 :- 4

4 is complete no. , so there wouldn't be any piece left .

2. When an adult is physically active, suppose the amount of water they will consume is normally distributed with an average of 20 ounces of water with a standard deviation of 7 ounces. If 10 adults are physically active, what is the probability that the average water consumed by them is less than 18 ounces? (note that we are working with a sampling distribution in this question). Report to 5 decimal positions

Answers

Using the normal distribution and the central limit theorem, it is found that there is a 0.18406 = 18.406% probability that the average water consumed by them is less than 18 ounces.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For the population, the mean and the standard deviation are, respectively, given by [tex]\mu = 20, \sigma = 7[/tex].

For samples of n = 10, the standard error is given by:

[tex]s = \frac{7}{\sqrt{10}} = 2.2136[/tex]

The probability that the average water consumed by them is less than 18 ounces is the p-value of Z when X = 18, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{18 - 20}{2.2136}[/tex]

Z = -0.9.

Z = -0.9 has a p-value of 0.18406.

0.18406 = 18.406% probability that the average water consumed by them is less than 18 ounces.

To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213

1. There are 1,200 students at Woodland Hills Elementary. Approximately 600 of
the students take the bus home. 50% of the students that do not take the bus
ride their bicycles home. Approximately how many students ride their bicycles
home?
A 100
B 200
С 300
D 400
E 500

Answers

1,200 divide by 600 = 2 students

2 students multiply by 50% is 100 students.

So, approximately 100 students ride their bicycles home.

(If not correctly, I am truly sorry)

What is the area of the figure shown delow?

Answers

Answer:

160mm2 is the correct answer

Step-by-step explanation:

What is the value of the expression (6 + 3)2
15
18
45
81

Answers

Answer:

Probably 81.

Maybe 18.

See explanation below.

Step-by-step explanation:

(6 + 3)² = 9² = 9 × 9 = 81

(6 + 3) × 2 = 9 × 2 = 18

I think you mean the first expression in which 2 is an exponent, but since it's not clear, I solved it both ways.


A car dealership sold 212 cars in 4 months. At what rate did the dealership sell cars in cars per month?

Answers

Answer: 59 cars per month

Step-by-step explanation:

Carrie uses her phone primarily to take a lot of selfies. The storage space on her phone is limited, so Carrie needs to keep track of how many selfies she takes.
There is a proportional relationship between the number of selfies Carrie takes, x, and the amount of storage (in megabytes) she uses taking selfies, y.
x (selfies) y (megabytes)
10 20
12 24
21 42
22 44
Write an equation for the relationship between x and y. Simplify any fractions.
y=

Answers

Answer:   y = 2x

Explanation:

A direct proportion is of the form y = kx

To find k, pick any row to divide the y over x value

k = y/x = 20/10 = 2k = y/x = 24/12 = 2k = y/x = 42/21 = 2k = y/x = 44/22 = 2

No matter which row you go for, the constant of proportionality is 2. Meaning that we double the x value to get to y.

Therefore, we go from y = kx to y = 2x

1. Tom rides his bike 6_1/4 miles round trip to work. He works 2 days each
week. How far will Tom ride his bike to and from work in 5 weeks?
⚫️31_1/4 miles
⚫️62_1/2 miles
⚫️12_1/2 miles
⚫️62 miles

Answers

Answer:

B. 62 1/2

Step-by-step explanation:

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