The first five terms of an arithmetic sequence are shown below:
20, 17, 14, 11, 8, . . .
Let n represent the term number and f(n) the term in the sequence.
Choose a function that represents the sequence.

The answer to this question is f(n) = -3 + 23

Now my question is, how do you find the solution? I was taught the explicit formula is f(n) = m(n) + b, but no matter how many times I've tried to plug in the numbers I cannot seem to get the right answer. Please help me and do show the entire process and the steps.

Answers

Answer 1

Answer:

The function represents the sequence is - 3 n + 23.

Step-by-step explanation:

20. 17, 14, 11, 8,......

Here, the first term is

a = 20

Common difference, d = -3

Let the nth term is Tn.

Tn = a + (n -1) d

Tn = 20 + (n -1) x (-3)

Tn = 20 - 3 n + 3

Tn = 23 - 3 n = - 3 n + 23

So, the function represents the sequence is - 3 n + 23.

Answer 2

Answer:

Y'all know what it is already, but I want points, so: f(n) = -3n + 23


Related Questions

Which equation can be simplified to find the inverse of

Answers

Answer:

x=y²-7

hope it helps.

stay safe healthy and happy...

Geometry please someone help i cant fail this class

Answers

X=40
X=23
X=28
Y=64
First one are corresponding angles
Second, subtract 180-75=105 and solve
Third, hard to explain sport but sure it’s correct

SCALCET8 3.8.001.MI. A population of protozoa develops with a constant relative growth rate of 0.6137 per member per day. On day zero the population consists of two members. Find the population size after seven days. (Round your answer to the nearest whole number.) P(7)

Answers

Answer:

A population of protozoa develops with a constant relative growth rate of 0.6137 per member per day. On day zero the population · Q: For this discussion, you will work in groups to find the area and answer questions.

Step-by-step explanation:

Which division problem does the diagram below best illustrate?


A diagram with 8 ovals containing 4 squares each.

O 16 divided by 4 = 4

O 32 divided by 4 = 8

O 36 divided by 4 = 9

O 8 divided by 2 = 4

Answers

Answer:

The answer is 32 divided by 4

Step-by-step explanation:

Because in each box there is 4. There are 8 ovals all together. So 8×4, you get 32 and divide it by the number of squares in an oval which is 4

Answer:

the answer is 32 divided by 4=8

Step-by-step explanation:

because when you look at the ovals there's eight ovals and in side there's four squares..

HOPE THIS HELPS!!!!!

Is 237405 divisible by 11 Correct Answer = Brainliest ​

Answers

Answer:

Yes.

Step-by-step explanation:

.

If the angles (4x + 4)° and (6x – 4)° are the supplementary angles, find the value of x.

Answers

Answer:

18

Step-by-step explanation:

Supplementary angles means sum of angles is 180.

4x + 4 + 6x - 4 = 180

4x + 6x + 4 - 4 = 180

10x = 180

x = 180 / 10

x = 18

Answer:

x=18 degree

Step-by-step explanation:

If they are supplementary angles, then their sum = 180 degree

4x+4 + 6x-4 =180

4x+6x + 4-4 = 180

10x = 180

x=180/10

x=18

Which of the following is equivalent to the product below?
Square root 3 square root 21

I NEED HELP ILL GIVE BRAINLIEST

Answers

The equivalent of the products given = 3√7

Simplifying square roots

A perfect square root is said to be a number that gives rise to an integer when it's square root is carried out. Examples are √16, √9 which is 4 and 3 respectively.

√3 × √21

But √a ×√b = √ a×b

Find the prime factors which when multiplied would give 21 = 3 and 7.

Therefore,

[tex] \sqrt{3 \times 3 \times 7} [/tex]

[tex] \sqrt{9 \times 7} [/tex]

[tex] 3 \sqrt{7} [/tex]

Therefore, the equivalent of the products of √3 × √21 =

3√7

Learn more about perfect square roots here:

https://brainly.com/question/3617398

Please help !!!! will mark brainliest !!

Answers

Answer:

the first one

Step-by-step explanation:

the perimeter of a rectangle parking lot is 322M if the width of the parking lot is 74M what is its length

Answers

Step-by-step explanation:

Perimeter of rectangle = 2( l+b)

Ie, P = 2( L+B )

In substituting,

322 = 2( L + 74)

Ie, 322 = 2L + 148

Re - arrange

Hence,

2L = 322 - 148

2L = 174

Thus, L = 174/2

L = 87M

The slope of diagonal OA IS__,
and its equation is__

Answers

Answer:

[tex](a)\ m = \frac{4}{3}[/tex] --- slope of OA

[tex](b)\ y = \frac{4}{3}x[/tex] --- the equation

Step-by-step explanation:

Given

The attached graph

Solving (a): Slope of OA

First, we identify two points on OA

[tex](x_1,y_1) = (0,0)[/tex]

[tex](x_2,y_2) = (3,4)[/tex]

So, the slope (m) is:

[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

This gives:

[tex]m = \frac{4-0}{3-0}[/tex]

[tex]m = \frac{4}{3}[/tex]

Solving (b): The equation

This is calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

Recall that:

[tex](x_1,y_1) = (0,0)[/tex]

[tex]m = \frac{4}{3}[/tex]

So, we have:

[tex]y = \frac{4}{3}(x - 0) + 0[/tex]

[tex]y = \frac{4}{3}(x)[/tex]

[tex]y = \frac{4}{3}x[/tex]

write the following statement in symbolic mongo are delicious but expensive .

Answers

Step-by-step explanation:

let a=mangoes are delicious

b=mangoes are expensive

the symbolic form is a^b

Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.2 significance level.

Answers

Answer:

Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.2 significance level.

The null and alternative hypothesis would be: H 0 : μ M = μ F H 1 : μ M < μ F H 0 : μ M = μ F H 1 : μ M > μ F H 0 : p M = p F H 1 : p M ≠ p F H 0 : p M = p F H 1 : p M < p F H 0 : p M = p F H 1 : p M > p F H 0 : μ M = μ F H 1 : μ M ≠ μ F

The test is:

right-tailed

left-tailed

two-tailed

Based on a sample of 40 men, 25%Based on a sample of 40 men, 25% owned cats

Based on a sample of 40 women, 40% owned cats

The test statistic is:

The p-value is:

Based on this we:

Reject the null hypothesis

Fail to reject the null hypothesis

8-6•4+10divided by 2 =

Answers

The answer should be -26
=8-6×4+10÷2=2×4+10÷2=8+10÷2=18÷2= 9 The answer is 9

Norm has $15,000 to deposit. His daughter is a junior in high school and plans to go to college. Recommend the best way for Norm to store his money. Note that the interest rates are expressed on an annual basis.
a.
A four-year CD paying 4.8% interest, with a substantial penalty for early withdrawal
b.
An online savings account offering 2.3% interest
c.
A money market account paying 3.5% interest, renewable for three-month commitments
d.
A checking account with no monthly fees

Answers

Answer:

A money market account paying 3.5% interest, renewable for three-month commitments.

The best way for Norm to store his money is through C. A money market account paying 3.5% interest, renewable for three-month commitments. Even though a four-year CD offers a higher interest at 4.8%, the fact that there is a substantial penalty for early withdrawal is a negative factor for Norm. His daughter needs the money after 2 years since she is already a junior in high school.


What is the domain of the function f(x) =x+1/
X^2-6x+8?

Answers

Answer:

The domain of the function is all real values of x, except [tex]x = 4[/tex] and [tex]x = 2[/tex]

Step-by-step explanation:

We are given the following function:

[tex]f(x) = \frac{x+1}{x^2-6x+8}[/tex]

It's a fraction, so the domain is all the real values except those in which the denominator is 0.

Denominator:

Quadratic equation with [tex]a = 1, b = -6, c = 8[/tex]

Using bhaskara, the denominator is 0 for these following values of x:

[tex]\Delta = (-6)^2 - 4(1)(8) = 36-32 = 4[/tex]

[tex]x_{1} = \frac{-(-6) + \sqrt{4}}{2} = 4[/tex]

[tex]x_{2} = \frac{-(-6) - \sqrt{4}}{2} = 2[/tex]

The domain of the function is all real values of x, except [tex]x = 4[/tex] and [tex]x = 2[/tex]

PLEASE HELP I WILL MARK YOUR ANSWER AS BRAINLIEST PLEASE BE CORRECT BEFORE ANSWERING

LOOK AT THE BOTTOM

Answers

9514 1404 393

Answer:

  y = 2

Step-by-step explanation:

The figure must be flipped top-to-bottom, so the line of reflection must be a horizontal line. Point B must be reflected to itself, so it is on the line of reflection. That means the line of reflection is y = 2.

__

You can draw the line of reflection using any two points that have y-coordinates of 2, for example, (0, 2) and (2, 2).

The probability that a person will develop the flu after getting a flu shot is 0.04. In a random sample of 100 people in a community who got a flu shot, what is the probability that 5 or more of the 100 people will get the flu

Answers

Answer:

0.3711 = 37.11% probability that 5 or more of the 100 people will get the flu

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they will develop the flu after getting the shot, or they will not. The probability of a person developing the flu after getting the shot is independent of any other person, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The probability that a person will develop the flu after getting a flu shot is 0.04.

This means that [tex]p = 0.04[/tex]

Random sample of 100 people:

This means that [tex]n = 100[/tex]

What is the probability that 5 or more of the 100 people will get the flu?

This is:

[tex]P(X \geq 5) = 1 - P(X < 5)[/tex]

In which

[tex]P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{100,0}.(0.04)^{0}.(0.96)^{100} = 0.0169[/tex]

[tex]P(X = 1) = C_{100,1}.(0.04)^{1}.(0.96)^{99} = 0.0703[/tex]

[tex]P(X = 2) = C_{100,2}.(0.04)^{2}.(0.96)^{98} = 0.1450[/tex]

[tex]P(X = 3) = C_{100,3}.(0.04)^{3}.(0.96)^{97} = 0.1973[/tex]

[tex]P(X = 4) = C_{100,4}.(0.04)^{4}.(0.96)^{96} = 0.1994[/tex]

Then

[tex]P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0169 + 0.0703 + 0.1450 + 0.1973 + 0.1994 = 0.6289[/tex]

[tex]P(X \geq 5) = 1 - P(X < 5) = 1 - 0.6289 = 0.3711[/tex]

0.3711 = 37.11% probability that 5 or more of the 100 people will get the flu

Solve the system of equations using the elimination method. 5x + 10y = 3 10x + 20y = 8

Answers

Answer:

Can not be solved

Step-by-step explanation:

5x+10y = 3............. Equation 1

10x+20y = 8 ............ Equation 2

From the equation above,

both equations can not be solved by elimination method, because both variables will be eliminated

The time spent waiting in the line is approximately normally distributed. The mean waiting time is 6 minutes and the variance of the waiting time is 9. Find the probability that a person will wait for more than 9 minutes.

Answers

Answer:

0.1587 = 15.87% probability that a person will wait for more than 9 minutes.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The mean waiting time is 6 minutes and the variance of the waiting time is 9.

This means that [tex]\mu = 6, \sigma = \sqrt{9} = 3[/tex]

Find the probability that a person will wait for more than 9 minutes.

This is 1 subtracted by the p-value of Z when X = 9. So

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

[tex]Z = \frac{9 - 6}{3}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a p-value of 0.8413.

1 - 0.8413 = 0.1587

0.1587 = 15.87% probability that a person will wait for more than 9 minutes.

If the bearing of P and
Q is
145°. What is the bearing of
Q from P?

Answers

9514 1404 393

Answer:

  325°

Step-by-step explanation:

The bearing in the reverse direction is 180° more (or less) than the bearing in the forward direction.

  145° +180° = 325°

The bearing of Q from P is 325°.

Answer:

If the bearing of P and

Q is 145°

Soo,

the bearing of Q from P is 145+180=325°

Because it is reserve in the forward direction

[tex]\sf{ }[/tex] [tex]\sf{ }[/tex] [tex]\sf{ }[/tex]

What is 2225 rounded to the nearest thousand? Hurry please

Answers

Answer:

2000

Step-by-step explanation:

2225 to the nearest 100 is 2300 but 3

<5 so it is 2000

Is [0,2) is compact in R?

Answers

Answer:

no it is not compact in R

Find the volume of the figure. Express answers in terms of , then round to the nearest
whole number


Please help :)

Answers

Answer:

26244π in³

Step-by-step explanation:

Applying,

Voluem of a sphere

V = 4/3(πr³).......... Equation 1

Where r = radius of the sphere, π = pie

From the diagram,

Given: r = 54/2  = 27 in

Substitute these value in equation 1

V = 4/3(27³)(π)

V = 26244π in³

Hence the volume of the figure expressed in terms of π is 26244π in³

During three consecutive years, an employers salary is increased by 15%. If after three years his salary is 45,400, what was his salary before the raises?

Answers

Answer:

$29,851.24

Step-by-step explanation:

The salary started as x.

Each year it was increased 15%.

A full amount is 100% of the amount. When you add 15% to the amount, you now have 115% of the amount.

115% as a decimal is 1.15; that means that to increase an amount by 15%, multiply the amount by 1.15

For example, let's say you want to know what is a 15% increase on 100. Start with 100. 15% of 100 is 15, so if you add 15% to 100 you expect to get 115.

Now multiply 1.15 by 100. You also get 115 showing you that multiplying a number by 1.15 is the same as adding 15%.

Now let's get back to our problem.

The salary started as x.

Each year, the increase in salary was 15% of the previous salary.

After 1 year the salary is 1.15x.

After 2 years, the salary is 1.15(1.15x).

After 3 years, the salary is 1.15(1.15(1.15x)) = (1.15^3)x

We are told that the salary became $45,400 after the three 15% increases, so

(1.15)^3 * x = 45,400

Multiply out 1.15^3 as 1/15 * 1.15 * 1.15 = 1.520875

1.520875x = 45,400

Divide both sides by 1.520875.

x = 45,400/1.520875

x = 29,851.24

Answer: $29,851.24

The police department in Madison, Connecticut, released the following numbers of calls for the different days of the week during a February that had 28 days: Monday (114); Tuesday (152); Wednesday (160); Thursday (164); Friday (179); Saturday (196); Sunday (130). Use a 0.01 significance level to test the claim that the different days of the week have the same frequencies of police calls. Is there anything notable about the observed frequencies

Answers

Answer:

different days of the week Do not have the same frequency.

Step-by-step explanation:

Given the data:

Observed values :

Monday (114); Tuesday (152); Wednesday (160); Thursday (164); Friday (179); Saturday (196); Sunday (130).

H0 : frequency are the same

H1 : frequency is not the same

Expected value is the same for all days:

Σ (observed values) * 1/ n

n = number of days in a week. = 7

Expected value = (114+152+160+164+179+196+130) / 7 = 156.428

χ² = Σ (observed - Expected)²/Expected

χ² = (11.508 + 0.125 + 0.082 + 0.366 + 3.257 + 10.01 + 4.465)

χ² = 29.813

The Pvalue(29.813, 6) ;

df = 7 - 1 = 6

The Pvalue(29.813, 6) = 0.000043

α = 0.01

Since, Pvalue < α ; Reject H0 ; and conclude that, different days of the week Do not have the same frequency.

Divide the following quantities in the following ratios £100 1:3

Answers

The answer is 25:75….

I’ll mark u plz help

Answers

Answer:

D is the answer

Step-by-step explanation:

all sides and angles are equal

hope it helps!! let me know if it does

Solve by graphing. Round each answer to the nearest tenth.

6x2 = −19x − 15
a: −2, 1.7
b: −1.7, −1.5
c: −1.5, 1.5
d: −1.5, 1.7

Answers

9514 1404 393

Answer:

  b:  -1.7, -1.5

Step-by-step explanation:

The graph is shown below. We have annotated the x-intercepts for the equivalent equation ...

  6x^2 +19x +15 = 0

Log(4) 5 + log (4) ? =log(4) 35

Answers

Answer:

7

Log(4) 5 + log (4) 7 =log(4) 35

Step-by-step explanation:

The sum of four consecutive odd integers is –72. Write an equation to model this situation, and find the values of the four integers.

Answers

9514 1404 393

Answer:

(x -3) +(x -1) +(x +1) +(x +3) = -72-21, -19, -17, -15

Step-by-step explanation:

Let x represent the even integer between the middle two odd integers. Then the sum of the four odd integers is ...

  (x -3) +(x -1) +(x +1) +(x +3) = -72

  4x = -72

  x = -18

The four integers are -21, -19, -17, -15.

_____

Additional comment

You could let x represent one of the integers. Often, people choose to let it represent the least of them. Then the equation becomes x +(x+2) +(x+4) +(x+6) = -72, so 4x = -84 and x = -21. This introduces a "subtract 12" step in the solution process that is unnecessary if x is chosen to be the average of the integers.

As the average, x is the sum divided by the number of them, so you know x=-72/4 = -18 immediately. Then you just have to find the nearest two odd integers below and above -18. You can do the whole problem mentally.

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