Find an explicit formula for the arithmetic sequence
81
,
54
,
27
,
0
,
.
.
.
81,54,27,0,...81, comma, 54, comma, 27, comma, 0, comma, point, point, point.
Note: the first term should be
a(1)
a(1)start text, a, left parenthesis, 1, right parenthesis, end text.

Answers

Answer 1

Answer:

Can you redo it so I can answer it's kind of confusing

Answer 2

Answer:

81 - 27(n-1)

Step-by-step explanation:


Related Questions

which of the rolling values are solutions to the inequality , ILL MARK BRAINLIST !!!

Answers

Answer:

II and III

Step-by-step explanation:

I...

-9 - 5x > -1

-9 - 5(2) > -1

-9 - 10 > -1

-19 > -1

FALSE

II...

-9 - 5x > -1

-9 - 5(-5) > -1

-9 + 25 > -1

16 > -1

TRUE

III...

-9 - 5x > -1

-9 - 5(-10) > -1

-9 + 50 > -1

41 > -1

TRUE

Best of Luck!

Answer:

II. and III.

Step-by-step explanation:

-9 - 5x > -1

I. 2

-9 - 5(2) > -1

-9 - (10) > -1

-19 > -1

- 19 is not more than -1, thus I. is not an option

II. -5

-9 - 5(-5) > -1

-9 + 25 > -1

16 > -1

16 is more than -1, thus II. is an option

III. -10

-9 - 5(-10) > -1

-9 + 50 > -1

41 > -1

41 is more than -1, thus III. is an option

1.3.3- You currently have $50. You plan on spending $2 each day on candy at the
comer store on your way home from school. How long will it take until you are
left with only $18?
Your answer

Answers

Answer:

It will take 16 days.

Step-by-step explanation:

50-18=32

32/2=16

32 represents the total amount of money spent before ending up with $18 left. If you spend $2 a day, just divide 32/2 (Total/Rate?). The final answer is 16 days.

To check, divide 50/2 to get 25 (days) and subtract the days we have (16).

25-16=9

9x2=18 or the $18 in the end of the problem.

If any of that was confusing, I'll be happy to answer any questions. It's just a pretty easy question so I am not sure if I did anything how you want or don't want it done.

In a study of the effect of aluminum intake on the mental development of infants, a group of 54infants who had been born prematurely were given a special aluminum depleted intravenous-feeding solution. At an adjusted age of 18 months,the neurologic development of the infants were measured using the Bayley Mental Development Index (BMDI), a unitless scale with higher scores indicating higher development. They had a sample mean BMDI of 97.4 and a sample standard deviation of 18.0.The (BMDI) is similar to an IQ score, with 100 being the average in the general population.

Assuming all relevant assumptions are met, carry out the appropriate testto determine if infants who receivedthealuminum depleted intravenous-feeding solution had a significantly differentaverage BMDI score thaninthe general population. Be sure to include all the stepsfor full credit.

Given:critical value= = 2.00

Answers

Answer:

The decision rule is  

  Fail to reject the null hypothesis

The conclusion is

   The no sufficient evidence to conclude  that the average  BMDI score is different from the general population

Step-by-step explanation:

From the question we are told that

    The  sample size is  n  =  54

    The sample mean is  [tex]\= x  =  97.4[/tex]

    The standard deviation is  [tex]s = 18.0[/tex]

     The population mean is  [tex]\mu  =  100[/tex]

     The critical value  is  [tex]t_{critical } =  2.0[/tex]

Generally the test statistics is mathematically represented as  

       [tex]t =  \frac{\= x - \mu}{\frac{s}{\sqrt{n} } }[/tex]

=>    [tex]t =  \frac{ 97.4  - 100}{\frac{ 18}{\sqrt{54} } }[/tex]

=>    [tex]t =-1.062[/tex]

Comparing the obtained t statistics with the critical value we see that

   The  critical value is not within the region of rejection (i.e -1.062 to 1.062  )

Hence the decision rule is  

  Fail to reject the null hypothesis

The conclusion is

   The no sufficient evidence to conclude  that the average  BMDI score is different from the general population

help ASAP. Which relation is a function?​

Answers

Answer:

Answer choice on the top right.

Step-by-step explanation:

A function of points can not share the same x value.

Find the value of f(15) if f(x) = 100x – 5x2.

Answers

this problem is to replace the variable (here "x" ) with a certain numerical value.

the given function is f(x) followed by the algebraic expression " 100x -5x^2 "

now u r asked to find f(15), mean u have to find the value of the "expression" with the numerical value "15" replacing "x"

so it looks like this:

f(x) = 100x -5x^2

f(15) = 100*15 - 5*(15)^2   [only "x" got replaced by it's numerical value "15"]

now u can calculate it

so

f(15) = 1500 - 5*225 = 1500 - 1125 = 375 (Ans.)

hope u got the basic idea.

feel free to ask if u have further queries.

all the best!

The force of gravity on an object varies directly with its mass. The constant of variation due to gravity is 32.2 feet per second squared. Which equation represents F, the force on an object due to gravity according to m, the object’s mass?

A) F = 16.1m
B) F = F equals StartFraction 16.1 Over m squared EndFraction.
C) F = 32.2m
D) F = F equals StartFraction 32.2 Over m squared EndFraction.

Answers

Answer:

fart poop ball tingle tingle pop tart and maybe not cause fart part and thg e answer is C

Answer:

Option C is Correct :  F = 32.2m

Explanation: I got it right on the quiz.

"An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in Texas. Suppose that the mean income is found to be $20.3 for a random sample of 2333 people. Assume the population standard deviation is known to be $11.3. Construct the 98% confidence interval for the mean per capita income in thousands of dollars. Round your answers to one decimal place."

Answers

Answer: ($19.8, $20.8)

Step-by-step explanation:

Confidence interval for mean : [tex]\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}[/tex] , where [tex]\overline{x}[/tex] = Sample mean, n= sample size, [tex]\sigma[/tex] = population standard deviation, z* = two tailed critical z-value.

Given:  [tex]\overline{x}[/tex] = $20.3

n= 2333

[tex]\sigma[/tex] = $11.3

For  98% confidence,  z* = 2.326

Then, the98% confidence interval for population mean will be:

[tex]20.3\pm (2.326)\dfrac{11.3}{\sqrt{2333}}\\\\=20.3\pm (2.326)\dfrac{11.3}{48.3011387}\\\\=20.3\pm (0.544165224825)\\\\\approx 20.3\pm 0.5\\\\=(20.3-0.5,\ 20.3+0.5)\\\\=(19.8,20.8)[/tex]

Hence,  the 98% confidence interval for the mean per capita income in thousands of dollars = (19.8, 20.8)

can someone please help me

Answers

Answer:

y = -5/3x -7

Step-by-step explanation:

If lines are parallel they have the same slope m = -5/3. Just need to figure out the new y-intercept going through the point (-9, 8).

y = mx + b

8 = -5/3(-9) + b

8 = 15 + b

b = -7

Now use m and b to form new equation of parallel line.

y = mx + b

y = -5/3x -7

Unit rate
Find each unit rate.
1. $140 for 18 ft2

Answers

Answer:

$17.50

Step-by-step explanation:

140 divided by 18 equals 17.50, the unit rate is dollars per foot.

Answer:

$7.78 : 1 ft²

Step-by-step explanation:

140 : 18

÷18  ÷18

7 7/9 : 1

    or

$7.78 : 1 ft²

scientists are studying a population of 20 bugs and tracking the population, y, as it grows over time, t, in weeks. If the population grows by at least 6.1% each week, which system of inequalities represents the scenario?

Answers

Answer:

I am pretty sure it is

y >_ 20(0.061)^t

t >_ 0

Step-by-step explanation:

A population has standard deviation o = 17.2.
Part 1 of 2
(a) How large a sample must be drawn so that a 99.8% confidence interval for u will have a margin of error equal to 3.8?
Round the critical value to no less than three decimal places.
Round the sample size up to the nearest integer.
A sample size of
3.8.
is needed to be drawn in order to obtain a 99.8% confidence interval with a margin of error equal to

Answers

Answer:

idk

Step-by-step explanation:

   

Explain how you would solve -5/8 divided by 2/3 and what the solution is?

Answers

Answer:

-15/16

Step-by-step explanation:

-5/8 ÷ 2/3

Copy dot flip

-5/8 * 3/2

Multiply the numerators

-5*3 = -15

Multiply the denominators

8*2 =16

Put the numerator over the denominator

-15/16

HELP ME PLEASE
In the diagram below, which distance represents the distance from point to
KE?

A JL
В. КМ
C. JM
D. JK

Answers

C. JM because that line is the height of the triangle

13/20 of a number is what percentage of that number?​

Answers

Answer:

65%

Step-by-step explanation:

Round 1.24236 to the nearest hundredth

Answers

Answer:

1.24

Step-by-step explanation:



A grocery store sells bananas for $0.59 per pound. On Wednesdays, the store offers a 10% discount to senior
citizens. Create a function f (x) which models the amount, in dollars, a senior citizen would pay for 2 pounds
of bananas on Wednesday

Answers

Answer:

2

Step-by-step explanation:

f(x)= 0.90(0.59*2)

A grocery store sells bananas for $0.59 per pound. On Wednesdays, the store offers a 10% discount to senior citizens. We need to create a function f(x) which models the amount in dollars, a senior citizen would pay for 2 pounds

What is a simple Equation?

A mathematical equation which represents the relationship of two expressions on either side of the sign.

The 10% discount will make it so the senior citizens will pay 90% of the price.

90%=0.90

Also we need to know that 0.59*2 means how much money per pound the bananas cost.

So when you put it together, you should get f(x)=0.90(0.59*2)

The function f (x)=0.90(0.59*2) which models the amount, in dollars, a senior citizen would pay for 2 pounds of bananas on Wednesday

So the required function is f(x)=0.90(0.59*2)

To learn more on simple equations click here:https://brainly.com/question/19459372

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Marco has joined a bowling league, and is trying to raise his average to 140. On his last four games he scored 133, 130, 131, and 136. How much will he need to score on the next game to raise his mean to 140?

Answers

133 + 130 + 131 + 136 / 4 = 132.5
133 + 130 + 131 + 136 + 170 / 5 = 140

There is 3 questions help asap

Answers

The answer is A. C. D.

fplzz ans my question
factorize p^4+4​

Answers

Answer:

Step-by-step explanation:

(p²)²+2²

(p²+2)²-2p²2

(p²+2)²-4p²

(p²+2)²-(2p)²

(p²+2-2p)(p²+2+2p)

Pls help me I will give Brainlyest
Mrs. Rodriguez wants to pay her restaurant bill which is $24.00. If Mrs. Rodriguez wants to leave a 20% tip on the
total, how much should she pay?
O $20.35
O $26.40
O $28.80
O $33.60

Answers

Answer:

C

Step-by-step explanation:

$28.80

Answer:

c

Step-by-step explanation:

find the square root of 625​

Answers

25 could I have brainliest plz !

Step-by-step explanation:

square root of 625 is 25

For each of these intervals, list all its elements or explain 2.1 Sets 131 why it is empty. a) [a,a] c) (a, a] e) (a,b), where a > b b) [a,a) d) (a, a) f) [a,b],wherea>b

Answers

Answer: b

Step-by-step explanation:

Henry ran 3.43 kilometers last week. He ran 6.25 kilometers this week. How many
kilometers did run in all?

Answers

Answer:

Henry ran 3.43 kilometers last week. He ran 6.25 kilometers this week. How many

kilometers did run in all?

Step-by-step explanation:

Henry ran 3.43 kilometers last week. He ran 6.25 kilometers this week. How many

kilometers did run in all?

Answer:

9.68 kilometers

Step-by-step explanation:

Determine the intercepts of the graph please be sure

Answers

X = (7,0) y= (0,2)


Hope this helps!!

Answer:

X= (_7, 0)

Y= (0, 2

Step-by-step explanation:

We meet again

subtract 8 from the input to get the output
divided the input by 3 to get the output

Answers

Answer: that will be 5

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

The ratio of boys to girls in homeroom is 2:3. If there are 8 boys, how many girls are there? Do not include units.

Answers

Answer:

12 girls =)

Step-by-step explanation:

Make a table labeled girls and boys like this

2|3

4|6

6|9

8|12

Multiply until you get to 8 boys


3x^2-4+5= 0 PLEASE HELP ASAP will mark brainliest

Answers

Answer:

3x^2+1

Step-by-step explanation:

you cannot add in the 3x^2 and the -4 and 5 but you can add the -4 and the 5

I hope this helps!

Step-by-step explanation:

3x to the power 2 is 9x;

New equation: 9x-4+5 = 0

9x- (4+5) = 0

9x-9=0

x=1    

Zenzizenzicube is an obsolete word that represents the square of the square of a cube. In​ symbols, zenzizenzicube is written as

(((x^3)^2))^2

Required:
a. Use the chain rule twice to find the derivative.
b. Use the properties of exponents to first simplify the​ expression, and then find the derivative.

Answers

Answer:

Step-by-step explanation:

Given the expression (((x^3)^2))^2

a) Differentiating the function with respect to x using chain rule.

Given y = (((x^3)^2))^2

Let u = (x³)²

y = u²; dy/du = 2u

Let p = x³; dp/dx = 3x²

u = p²; du/dp = 2p

Applying the chain rule formula:

dy/dx = dy/du • du/dp • dp/dx

substitute in the formula

dy/dx = 2u•2p•3x²

Since u = (x³)² and p = x³

dy/dx = 2(x³)²(2x³)(3x²)

dy/dx = 12x^6•x^5

dy/dx = 12x¹¹

b) Using property of exponent

y = (((x^3)^2))^2

y = (x^6)²

y = x¹²

dy/dx = 12x^12-1

dy/dx = 12x^11

Which values of a, b, and c correctly represent the answer in simplest form?

4 and one-half divided by 1 and one-fourth = a StartFraction b Over c EndFraction
a = 3, b = 6, c = 10
a = 3, b = 3, c = 5
a = 5, b = 3, c = 3
a = 10, b = 6, c = 3

Answers

Answer

the answer is a i

thinnk

Step-by-step explanation:

hope this helped!!

The values of the fraction are a = 3, b= 3,   c= 5 is the correct answer.

What is a fraction?

A fraction is a part of a whole number, and a way to split up a number into equal parts. It is a number expressed as a quotient, in which a numerator is divided by a denominator.

For the given situation,

The fraction is given as  [tex]\frac{4\frac{1}{2} }{1\frac{1}{4} }[/tex]

⇒ [tex]\frac{\frac{9}{2} }{\frac{5}{4} }[/tex]

⇒ [tex]\frac{9}{2}[/tex] × [tex]\frac{4}{5}[/tex]  

⇒ [tex]\frac{18}{5}[/tex]

⇒ [tex]3\frac{3}{5}[/tex]

Thus from the above value a = 3, b= 3, c= 5.

Hence we can conclude that the values of the fraction are a = 3, b= 3,   c= 5 is the correct answer.

Learn more about fractions here

https://brainly.com/question/17205173

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An ant crept to a hole, which was 210 cm away.
It crept 40 cm per minute, but the wind pushed
it back 5 cm every minute. How many minutes
will it take the ant to reach the hole?

Answers

Answer:

6 minutes

Step-by-step explanation:

The ant can crawl 40 cm per minute but is pushed back 5 cm every minute aswell. In total the ant will crawl 35 cm per minute (40 - 5 = 35).

In order to find how long it will take for the ant to reach the hole we divide 210 by 35 (210/35) to get the answer of 6, therefore it takes the ant 6 minutes to reach the hole.

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