What is the 31st term in the sequence 204,200,196

Answers

Answer 1

Answer:

a(31) = 84

Step-by-step explanation:

The first term, a(1) is 204, and the common difference is 4.  That is, each new term is 4 less than the previous term.

The rule governing this arithmetic sequence is

a(n) = 204 - 4(n - 1)

and so the 31st term is

a(31) = 204 - 4(30) = 84


Related Questions


19.*
The average number of minutes a person spends watching television is represented by
y = 800x. In this equation, x is the number of weeks and y is the number of minutes.
Which statement is supported by the equation?
(Lesson 5)
A In 6 weeks, a person spends an average of 4,200 minutes watching television.
B A person spends 800 minutes watching television in 1 month. (1 month = 4 weeks)
C In 5 weeks, a person spends an average of 160 minutes watching television.
DA person spends 41,600 minutes watching television in 1 year. (1 year = 52 weeks)

Answers

Step-by-step explanation:

Miko’s family drove at a constant speed as they left home and traveled to the restaurant where they stopped for lunch. Does the relationship between hours that past x and the distance traveled y represent a proportional relationship? Explain why or why not?

For each of the following research scenarios, decide whether the design uses a related sample. If the design uses a related sample, identify whether it uses matched subjects or repeated measures. (Note: Researchers can match subjects by matching particular characteristics, or, in some cases, matched subjects are naturally paired, such as siblings or married couples).
A researcher is interested in whether people eat more or less when they are in a hurry. The researcher collects a random sample of 80 adults and invites them to eat two (identical) free meals one month apart. For one of the meals, no time restriction is placed on the meal. For the other meal, participants are told when their meal is served that they have only 10 minutes until another group is due to sit down. Half of the participants eat their hurried meal first; the other half eat it second. The researcher compares the amount eaten at each sitting. The design described_____.
John Cacioppo was interested in possible mechanisms by which loneliness may have deleterious effects on health. He compared the sleep quality of a random sample of lonely people to the sleep quality of a random sample of nonlonely people. The design described____.
a. uses a related sample (repeated measures).
b. uses a related sample (matched subjects).
c. does not use a related sample.

Answers

Answer:

A.) uses a related sample (repeated measures).

B.) does not use a related sample.

Step-by-step explanation:

The first scenario uses a related sample whereby same subjects were used to over the course of each related experiment (comparing if people eat more or less when in a hurry). After the completion of both experiment, we'll have two different reading for each subject which a b further be used to compare the difference in consumption when in a hurry and when not.

The second scenario here fails to employ a related sample design as the the subjects used have contrasting characteristics, a group consisting of lonely people and another consisting of those who aren't lonely.

Pls help math lol. Yeah

Answers

Answer:

X = 65 degrees

Step-by-step explanation:

180 = 70 + 45 + X

180 = 115 + X

X = 65 degrees

G = B. What is the length of CD?

CD = ___​

Answers

Answer:

10

Step-by-step explanation:

Since G = B (and 284 + 76 = 360), then FE = CD

Using the distributive property, Marta multiplied the binomial (2x + 3) by the trinomial (x2 + x – 2) and got the expression below.

(2x)(x2) + (2x)(x) + (2x)(–2) + (3)(x2) + (3)(x) + (3)(–2)

Which is the simplified product?

Answers

Answer:

[tex]2x^3 + 5x^2 -x -6[/tex]

Step-by-step explanation:

Given

[tex](2x)(x^2) + (2x)(x) + (2x)(-2) + (3)(x^2) + (3)(x) + (3)(-2)[/tex]

Required

The simplified product

We have:

[tex](2x)(x^2) + (2x)(x) + (2x)(-2) + (3)(x^2) + (3)(x) + (3)(-2)[/tex]

Open bracket

[tex](2x)(x^2) + (2x)(x) + (2x)(-2) + (3)(x^2) + (3)(x) + (3)(-2) = 2x^3 + 2x^2 -4x + 3x^2 + 3x -6[/tex]

Collect like terms

[tex](2x)(x^2) + (2x)(x) + (2x)(-2) + (3)(x^2) + (3)(x) + (3)(-2) = 2x^3 + 2x^2+ 3x^2 -4x + 3x -6[/tex][tex](2x)(x^2) + (2x)(x) + (2x)(-2) + (3)(x^2) + (3)(x) + (3)(-2) = 2x^3 + 5x^2 -x -6[/tex]

Hence, the simplified product is: [tex]2x^3 + 5x^2 -x -6[/tex]

Which of these is the statement of the zero product rule?
O A. If a·b = 0, then a = 0 and b= 0.
O B. If a• b = 0, then either a = 0 or b = 0, or both.
C. Ifa:b= 0, then a = 0.
D. If a·b = 0, then either a = 0 or b = 0, but not both.

Answers

the answer is B. I need 20 characters

Which polynomial is a difference of two squares?
O x² – 16
O x2 + 16
O x² – 8
O x² + 8

Answers

x^2 - 16 is a difference of 2 squares

Translate the word problem into an equation and solve algebraically. Include correct units. The length of a
rectangular area is 4 feet more than its width. If the area is 45 square feet, find the length and the width of the
rectangle.

Answers

Step-by-step explanation:    TS 5 15 8 26

L = W + 4

Area = 45 ft²

Area = LW

Area = (W +4)(W) = 45 ft²

         W² + 4W - 45 = 0        solve for W

         (W + 9)(W - 5) = 0

         W = -9 or 5                a minus 9 width makes no sense

     L = W + 4

     L = 5 + 4

W = 5 ft   L = 9 ft

     

       

Which of the following could be the system of nonlinear inequalities graphed
below?
O A. y> x2 - 5x + 6
y< 5
B. y> x2 - 5x + 6
y25
O C. yz x2 - 5x + 6
y< 5
D. y: x2 - 5x + 6
ys 5

Answers

Answer:

I think A is the correct answer

Find the value of x.
B
X+2
3
E
2
X
С
A
x = [?]

Answers

Answer:

answer is given in up paper. where ans is -1/2

what is the next term of geometric sequence -1/7,4/7,-16/7

Answers

Answer:

Step-by-step explanation: the answer is 5

Answer:

64/7

Step-by-step explanation:

multiply -16 by -4

Can someone help me

Answers

Answer:

Slope=m=5/4

Point through which line is passing is (X,Y)=(4,−1)

By using slope-point form, the equation of line is given as,

(y−Y)=m(x−X)

(y−(−1))=5/4(x−4)

(y+1)=5x/4−5

(y+1)=(5x−20)/4

4(y+1)=5x−20

4y+4=5x−20

5x−4y−20−4=0

5x−4y−24=0

is the equation of line passing through the point (4,−1)and having slope 5/4

Hope it helps you :)

Step-by-step explanation:

factors of 54 and 36 all factors correct = brainliest answer

Answers

9514 1404 393

Answer:

  54 = 2 × 3³

  36 = 2² × 3²

Step-by-step explanation:

The term "factors" can mean different things in this context. Usually, it means "prime factors." Exponents are used to indicate the number of times a factor is repeated. The prime factors of these numbers are ...

  54 = 2 × 3³

  36 = 2² × 3²

__

Sometimes, we use the word "factors" to mean "positive integer divisors." The number of divisors is the product of the exponents of the prime factors, each increased by 1. That is, 54 has (2·4) = 8 divisors; 36 has (3·3) = 9 divisors. The odd number of divisors is one indication that the number is a perfect square.

The divisors of these numbers are ...

  54 is divisible by 1, 2, 3, 6, 9, 18, 27, 54

  36 is divisible by 1, 2, 3, 4, 6, 9, 12, 18, 36

100 POINTS!!!!!! HELP
Question 23
Max and Jay are among 12 contestants in the school spelling bee. If the top two finishers win prizes, what is the probability both Max and Jay will be the two prize winners?
A
1766
B
136
C
166
D
1132

Answers

A - 1766! I hope this helps

Scores for a common standardized college aptitude test are normally distributed with a mean of 496 and a standard deviation of 110. Randomly selected men are given a Test Preparation Course before taking this test. Assume, for sake of argument, that the preparation course has no effect. If 1 of the men is randomly selected, find the probability that his score is at least 545.7. P(X > 545.7)

Answers

Answer:

0.3257

Step-by-step explanation:

Given an approximately normal distribution:

Z = (x - mean) / standard deviation

Mean = 496 ; Standard deviation = 110

For :

P(x > 545.7)

We obtain the standardized, Z score

Z = (545.7 - 496) / 110

Z = 49.7 / 110

Z = 0.4518

Hence, using the Z distribution table :

P(Z > 0.4518) = 1 - P(Z < 0.4518)

P(Z > 0.4518) = 1 - 0.67429

P(Z > 0.4518) = 0.32571

Which questions are statistical questions?

Answers

Answer:

whats the number of the class.

what's my height

how many students from each school in this city loves football

what is the height of each student inmy class

how many servings of fruit did I eat each day thus month

A spinner is divided into 5 equal sections using the pictures of a horse, dog, cat, house, and mouse. After 20 spins, the spinner lands on the horse 2 times the dog 5 times the cat 4 times the house 4 times and the mouse 5 times. What is the experimental probability of the spinner landing on house?

Answers

Answer:

1/5

Step-by-step explanation:

No matter how many times you spin, it will always remain random. (With a few exceptions)

In a duck egg the ratio of yolk to white is
3:2. If the egg white weighs 14g, calculate
the weight of the yolk.

Answers

Answer:

21gm in my calculations u can also try

Step-by-step explanation:

3/2=14

3×7

21 ans

Answer:

21g

Step-by-step explanation:

Please see the attached picture for the full solution.

PLEASE HELP MATH QUESTION 10 POINTS HELP ASAP PLEASE HELP
QUESTION IS IN LINKED IMAGE

Answers

Answer:

2x-3y=7. Linear

Blue graph. Linear

Table 3. nonlinear

y=-4. Linear

y=2x^2-4. Nonlinear

y=3/x-2. Nonlinear

1,861 rounded to the nearest tenth

Answers

Answer:

I assume that you meant 1.861.

If that is true, then 1.9 would be your answer.

Hope that this helps!

Answer:

1860

Step-by-step explanation:

Which of the following choices demonstrates the converse of the Pythagorean theorem correctly? (Assume that angle C is the right angle in the triangle ABC. a, b, c stands for side lengths BC, AC, and AB respectively)
A) If a2 + c2= b2, it’s a right triangle
B) If c2 + b2=a2, it’s a right triangle
C)If a2 + b2=c2, it’s a right triangle
D) None of the above.

Answers

C!



hope this helps you out!

which quadrant would contain the point -3, 3
please help!
thankyou!​

Answers

Answer:

Quadrant 2

Step-by-step explanation:

(-3,3) when plotted on a graph fits into quadrant 2!

The answer is quadrant 2.

Choose the measure that is approximately equivalent to 9 kilometers.

Answers

Answer: 5.6 miles

Step-by-step explanation:

The options to the question include:

A. 4.5 mi.

B.5.6 mi.

C.7.39 mi.

D.14.5 mi.

To convert kilometer to mile goes thus:

1 kilometer = 0.621371

Therefore, to find the value for 9 kilometers will be:

= 9 × 0.621371

= 5.592339 miles

= 5.6 miles approximately

-2,6,-18,54 find the 12th term

Answers

Answer:

354294

Step-by-step explanation:

-2,6,-18,54,-162,486,-1458,4374,-13122,39366,-118098,354294

multiply each number by -3

use the formula R = log I, where are is the measurement of the Richter scale and I is the intensity, to find the Richter scale measurements of an earthquake with intensity 25,000,000. NO LINKS!!!​

Answers

Answer:

R ≈ 7.4

Step-by-step explanation:

Substitute I = 25000000 into the equation

log(25000000 ) = R , then

R ≈ 7.4 ( to 1 dec. place )

Answer:

The Richter scale measurements of an earthquake with intensity 25,000,000 is R ≈ 7.4

Step-by-step explanation:

using the given formula R = log I

Substitute I = 25000000 into the equation

R= log(25000000 ) , then by using calculator we get

R =7.3979

R≈7.4

Thus the Richter scale measurements of an earthquake with intensity 25,000,000 is R ≈ 7.4

click here to know more about the earthquake with intensity

https://brainly.com/question/2592333

#SPJ2

A delivery process has a target of 5 hours plus or minus one hour. The process standard deviation is estimated as 0.24 hours. The process has a ____ sigma quality level.

Answers

Answer:

the sigma quality level is 8.33

Step-by-step explanation:

given the data in the question;

Target of a delivery process = 5 hours plus or minus one hour i.e 5 ± 1

standard deviation of the process σ = 0.24 hours.

so,

The Lower Limit [tex]L_L[/tex] of the target will be;

[tex]L_L[/tex] = 5 hours - 1 hours = 4 hours

And the Upper Limit [tex]U_L[/tex] of the target will be;

[tex]U_L[/tex] = 5 hours + 1 hours = 6 hours

sigma quality level = ?

Now, to get the sigma quality level, we use the following expression;

sigma quality level = ( Upper Limit [tex]U_L[/tex] of the target - Lower Limit [tex]L_L[/tex] of the target ) / standard deviation of the process

sigma quality level = ( [tex]U_L[/tex] - [tex]L_L[/tex] ) / σ

so we substitute in our values

sigma quality level = ( 6 - 4 ) / 0.24

sigma quality level = 2 / 0.24

sigma quality level = 8.33

Therefore, the sigma quality level is 8.33

A dot plot titled Number of Hours Spent on Homework goes from 1 to 6. There is 1 dot above 1, 5 dots above 2, 6 dots above 3, 4 dots above 4, 1 dot above 5, and 1 dot above 6. What is a dot plot and how do you read it? Check all that apply. A dot plot is a simple plot that displays data values as dots above a number line. Dot plots show the frequency with which a specific item appears in a data set. 3 students spent 4 hours on homework. 5 students spent 2 hours on homework. Dot plots show the distribution of the data. Students spent 1 to 6 hours on homework.

Answers

This is more than one question.

Tessellations

Rotate the parallelogram 180° clockwise about point Q.

Please select the best answer from the choices provided

Answers

Answer:

D.

Step-by-step explanation:

I calculated it logically

Please answer the question question correctly with factual information for brainliest.

Answers

Answer:

B) 17 cm

Step-by-step explanation:

Given that:

length of first side = 8 cm

length of the second side = 15 cm

The hypotenuse of the given triangle can be determined by applying the Pythagoras theorem.

[tex]/hyp/^{2}[/tex] = [tex]/adj 1/^{2}[/tex] + [tex]/adj 2/^{2}[/tex]

           = [tex]15^{2}[/tex] = [tex]8^{2}[/tex]

           = 225 + 64

[tex]/hyp/^{2}[/tex] = 289

hyp = [tex]\sqrt{289}[/tex]

      = 17

The hypotenuse of the triangle is 17 cm.

There is a bin of markers.
For every 2 red markers, there are
5 purple markers. Use the table to
represent the ratio of purple
markers to red markers.

Answers

The ratio would be 2:5
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