help please.
with the steps
on image.

Help Please.with The Stepson Image.

Answers

Answer 1

Answer:

T(n) = 3n² - 4-189 doesn't belong

Step-by-step explanation:

Given sequence:

-1, 8, 23, 44, 71

The first differences:

9, 15, 21, 27

The second differences:

6, 6, 6

If the sequence is T(n) = an² + bn + c, we have:

2a = 6 ⇒ a = 3

Using the first and second differences work out  the value of zero term:

9 - 6 = 3-1 - 3 = -4

This gives us c = - 4

Now we have:

T(n) = 3n² + bn - 4

The first term is T(1) = -1, substitute n = 1 and find the value of b:

3(1²) + b*1 - 4 = - 13 + b - 4 = - 1b = 0

The nth term is:

T(n) = 3n² - 4

Now lets find if -189 belongs to this sequence:

- 189 = 3n² - 43n² = - 185

The left side is positive and the right side is negative so the answer is also negative


Related Questions

convert NPR 180000 into
1. USD

Answers

Answer:

Solution here,

1 US dollar=NRS 120.74

Therefore Rs 180000= 180000/120.74

=$1490.99

a student answered 86% of the questions on a test correctly. he received a grade of 98%. how many questions were on the test?

Answers

Let the number of questions on the test equal X which would be 100%

They answered 86 which equaled 98

Set up a ratio:

X/86 = 100/98

Cross multiply:

98X = 8600

Divide both sides by 98:

X = 87.75

Round to 87 questions

please Help NEED NOW

thank you so much

Answers

Divide the rise by the run

X-Y=5, 6X-6Y =?


I think it's 30, but i don't know , I tried to think of a way and I thought about taking the 6 as a common and multiplying it to X-Y, Like :6(X-Y), and since X-Y =5 it'll be 30?​

Answers

Answer:

Yes, it is 30

Step-by-step explanation:

And yes, you thought it through correctly.  6(X-Y) = 6*5

6(X-Y) = 30

Answer:

[tex]\displaystyle 6x - 6y = 30[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Terms/Coefficient

Factoring

Step-by-step explanation:

Step 1: Define

Identify.

x - y = 5

Step 2: Solve

Factor:                                                                                                               [tex]\displaystyle 6x - 6y = 6(x - y)[/tex]Substitute in expression:                                                                                 [tex]\displaystyle 6x - 6y = 6(5)[/tex][Order of Operations] Evaluate:                                                                      [tex]\displaystyle 6x - 6y = 30[/tex]

Based on the information in the table, how much will Henry earn if he worked 7 hours?
A
$48
+
B
$72
С
$9
D
$63

Answers

Answer:

D.

Step-by-step explanation:

2 1/3 divided by 1 1/5 what is the answer as a fraction or mixed number in simplest form?

Answers

Answer:

1.9444444 is the answer or 35/18

Step-by-step explanation:

Answer:

10/3 or 3 (1/3)

Step-by-step explanation:

I used a calculator sorry i don't know how to explain it

Derek and Jeannine buy a car for a total price, including tax, of $19,795. The price of the car was $18,500. What is the tax rate.

Answers

Answer:1.07

Step-by-step explanation:

Which statement is true about the equation 4.5z = 4.5z − 4.25 + 6.25? It has no solution. It has one solution. It has two solutions. It has infinitely many solutions.

Answers

Answer:

it has infinitely many solutions

Step-by-step explanation:

hope it help bro

Answer:

d

Step-by-step explanation:

what is the greatest common factor of 32 and 56

Answers

its 8. hope this helps you.

Need some help if u don’t mind :)

A)94
C)82
C)76

Answers

Answer:

82

Step By Step Explanation:

I would have choose 86 but there is no 86 since 82 is closer I choose it.

A full angle equals 180 so 180-94=86.

Hopes This Helps

12. The area of the flower garden is 9.7 square meters

greater than the herb garden. What is the area of the

flower garden?

Answers

Answer:

F = H + 9.7 m^2

Step-by-step explanation:

Let F be the area of the Flower garden and H the area of the Herb garden.

F = H + 9.7 m^2

There is no area or information given on the Herb garden, so this is the best we can say.

Solve the equation. Please

Answers

Answer:

y=3

Step-by-step explanation:

1/4 = 3/12

Five swimmers are entered into the competition. Four of the swimmers have had their turns. Their scores are 9.8s, 9.75s, 9.79s, and 9.81s. What score must the last swimmer get in order to win the competition?

Answers

Answer:

We must order these decimals from least to greatest. Then we must determine how the least compares with the winning score.

9.80 -> 3

9.75 -> 1

9.79 -> 2

9.81 -> 4

The least decimal is 9.75. Now we must determine how 9.75 compare with the winning score.

The last swimmer must get a score less than 9.75 s in order to win.

Step-by-step explanation:

Hopes this helps

Answer:

less than or equal to 9.74.

The FitnessGram™ Pacer Test is a multistage aerobic capacity test that progressively gets more difficult as it - IM JUST KIDDING I ACTUALLY NEED HELP THO​

Answers

45 degrees. A triangle should add up to 180 degrees. So 76+59+?=180. The ? Is 45 so that is your answer. Another way is to take 180 and subtract 59 and 76 which will leave you with 45.
Following the Triangle Sum Theorem, the three angles in a triangle must sum up to 180°.

Therefore, we can create an equation to find the measure of angle 1, given the two other angles.

76+59+x=180. x=the measure of angle 1 (unknown).

135+x=180. [76+59=135]

135-135+x=180-135 [Isolate x by subtracting 135 from both sides]

x=45.

Therefore, the angle measure of angle 1 = 45°

Solve the system of equations
X=11+y
2x+y=19

Answers

Answer:

Step-by-step explanation:

To solve this system of equations, let's first find the value y. We can replace the x in the second equation with 11 + y, since we are told in the first equation that x is equal to 11 + y. So, let's replace x:

2(11 + y) + y = 19

22 + 2y + y = 19

22 + 3y = 19

3y = -3

y = -1

And look at that - we've found our y-value! Now, we can replace the y in the first equation with -1 to find the value of x.

x = 11 + (-1)

x = 10

So, the solution to this system of equations is (10, -1). Hopefully that's helpful!


You know the following information about triangle ABC and triangle DEF:
AB-DE and What additional information is needed to prove that the triangles are congruent by SAS?
AB=DE
AC=DF
BC=EF

Answers

Answer:

  (b)  AC = DF

Step-by-step explanation:

In order to use SAS, you need to show congruence of the sides on either side of the angle. One of those sides is given as congruent: AB = DE. (This given rules out choice A, which is identical.)

The remaining needed side will have points A and D as one of the points defining the side. This rules out choice D.

The relation between other angles is irrelevant to SAS, so choice C is ruled out.

Choice B: AC = DF will supply the information necessary to show congruence by SAS.

-)) The green marble is closer to the target than the white marble. The purple marble is
closer to the target than the green marble, and the white marble is closer to the target than
the blue marble. The purple marble is not farther from the target than the white marble.
Which marble is farthest from the target?
the purple marble
the blue marble
the green marble
the white marble

Answers

Should be the blue marble

Find the value of x

Answers

Answer:

x = 8

Step-by-step explanation:

is an isosceles triangle, so 12 = x + 4

12 = x + 4

x = 12- 4

x = 8

----------------

check

12 = 8 + 4

12 = 12

the answer is good

What is an expression equivalent to 25x^2+28x+16

Answers

See the attached picture

What is the solution to the following system 3x+3y+6z=9

Answers

Answer:

x=1 y=1 z=1

Step-by-step explanation:

3+3+3=9

and

3x+3y+3z=9

This cannot be answer, which is in contrary to the other posted answer. This is because there is not a second equation. Meaning that some variables could be weird numbers, such as decimals, and manage to be equal to 9. In fact, there are many many many answer to this question. It is simply that 1 for all variables is an easy answer

One research study of illegal drug use among​ 12- to​ 17-year-olds reported a decrease in use​ (from 11.4% in​ 1997) to ​9.8% now. Suppose a survey in a large high school reveals​ that, in a random sample of 1046 ​students, report using illegal drugs. Use a 0.05 significance level to test the​ principal's claim that illegal drug use in her school is below the current national average.

Answers

Using the z-distribution, it is found that since the test statistic is more than the critical value for the left-tailed test, it is found that there is not enough evidence to conclude that illegal drug use in her school is below the current national average.

At the null hypothesis, it is tested if drug use in her school is not below the national average, that is:

[tex]H_0: p \geq 0.098[/tex]

At the alternative hypothesis, it is tested if it is below, that is:

[tex]H_1: p < 0.098[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.

93 out of 1046 reported using illegal drugs, hence the parameters are:

[tex]n = 1046, \overline{p} = \frac{93}{1046} = 0.0889, p = 0.098[/tex]

Hence, the value of the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.0889 - 0.098}{\sqrt{\frac{0.098(0.902)}{1046}}}[/tex]

[tex]z = -0.99[/tex]

The critical value for a left-tailed test, as we are testing if the proportion is less than a value, is [tex]z^{\ast} = -1.645[/tex]

Since the test statistic is more than the critical value for the left-tailed test, it is found that there is not enough evidence to conclude that illegal drug use in her school is below the current national average.

To learn more about the use of the z-distribution to test an hypothesis, you can take a look at https://brainly.com/question/25584945

Is -9 a real or imaginary number?

Answers

A real number is a number that can represent any continuous quantity.It includes both rational and irrational numbers.Since, -9 is a rational number, then it is a real number.

Answer:

-9 is a real number.

Hope you could get an idea from here.

Doubt clarification - use comment section.

If AB∥ED and m∠ABC = m∠DEF. Prove CB|| EF.

Answers

Explanation:

( ) . . . . stuff that is given

∠ABE ≅∠DEG . . . . corresponding angles at a transversal

∠ABC +∠CBE = ∠ABE . . . . angle addition postulate

∠CBE = ∠ABE -∠ABC . . . . subtraction property of equality

∠DEF +∠FEG = ∠DEG . . . . angle addition postulate

∠FEG = ∠DEG -∠DEF . . . . subtraction property of equality

∠FEG = ∠ABE -∠ABC . . . . substitution property of equality

∠CBE = ∠FEG . . . . substitution property of equality

CB║EF . . . . converse of corresponding angles theorem

You have 64 inches of blue
fabric and 96 inches of green
fabric. You want to cut the fabric
into pieces of equal length with
no leftovers. What is the greatest
length of the pieces that you can
make?

Answers

Answer:

Step-by-step explanation:

48 times for the green fabric

32 for blue

i need to find the zeros by factoring but im stuck plss help me i think the zeros may be 0, 1, -4, and 4 but i dont know how to get them??

Answers

this should help you on how to get the zeros and the answer for the bottom question is A
In other terms, once factored, you can set each parenthesis equal to zero. So like for (x-1), you set to zero, and solve. This gives factors. If the x is outside of parenthesis, like the -4x, then there is a root of zero.

In this case. Factor by grouping, then you will have several parenthesis multiplied by each other. Set each to zero

Select the statement that is true.

0.969 < 0.967
0.967 > 0.969
0.967 = 0.969
0.967 < 0.969

Answers

Answer:

d option

Step-by-step explanation:

(d) option is true, as 0.969 is greater than 0.967.

Rest all options are false.

Hope it helps :)

PLEASE HELP!! 100 points!!!


The angle of depression from the top of a tower to a boulder on the ground is 22 . If
the tower is 70 feet high, how far from the base of the tower is the boulder? (Round
answer to the 1st decimal place.)

Answers

Answer:

173.3 feet

Step-by-step explanation:

Let the required distance be x.

We have a right triangle with vertical leg of 70 feet and the acute angle opposite to this leg is 22 degrees.

Use trigonometry:

adjacent / opposite = cotangentx / 70 = cot 22 degx = 70 cot 22 degx = 173.3 feet (rounded)

Given this graph of the function f(x) a) b) c) d) please a need help

Answers

Answer:

a) 2

b) -2

c) -2

d) 1/2

Step-by-step explanation:

1) f(-4) means that x=-4 and you must locate the y value on the graph

2) f(2) means that x=2 and you must locate the y value on the graph

3) f(x)=4 means that y=4 and you must locate the x value on the graph

4) f(x)=-1 means that y=-1 and you must locate the x value on the graph

PLEASE HELP ME 50 POINTSS 1!1!1!1!1!1!1!1!1!11!1!1!1!

How long does it take a baseball moving with an average
speed of 35 m/s to travel 18 m?
What is the average speed of a car that travels 870 km in 14.5
h?

Answers

Answer:

1) the baseball will take approx 0.514 seconds to move 18 meters.

35/1 = 18/x

x = 0.514s

2)  the car's average speed is 60 km per hour.

870/14.5 = x/1

x = 60h

Simplify the expression 2i(4.5 – 20i) + 3i. Write your answer in the form a + bi.

Answers

Answer:

40 + 12i

Step-by-step explanation:

note that i² = - 1

2i(4.5 - 20i) + 3i ← distribute parenthesis by 2i

= 9i - 40i² + 3i

= 9i - 40(- 1) + 3i

= 9i + 40 + 3i

= 40 + 12i

Other Questions
1. A roller coaster with a mass of 800 kg sits stationary at the top of a section of track, 75 m abovethe ground as shown. When the brake is released, it starts to roll down the track2. For each height represented in the diagram, calculate the gravitational potential energy usingEp = mgh. Show ONE SAMPLE calculation in the calculations section below and fill in Table 1 foreach of the heights of the roller coaster. (6 marks)3. Assuming there is no friction, determine the mechanical kinetic energy using Ek = Etotal - Ep.Show ONE SAMPLE calculation in the calculations section below and fill in Table 1 for each ofthe heights of the roller coaster. (6 marks)4. For each height represented in the diagram, calculate the velocity using = 2 . Show ONESAMPLE calculation in the calculations section below and fill in Table 1 for each of the heights ofthe roller coaster. (6 marks)5. Use your answers to graph how gravitational potential energy, mechanical kinetic energy, andvelocity change as the roller coaster changes height. Use different colours for the three lines onthe graph. Graph paper is provided below. (3 marks)6. Repeat steps 1 5 above for a roller coaster cart that has a mass of 300 kg and enter yourresults in Table 2.Calculations:800 kg roller coaster cart:Sample calculation for gravitational potential energy:Sample calculation for Mechanical kinetic energy:Sample calculation for velocity:300 kg roller coaster cart:Sample calculation for gravitational potential energy:Sample calculation for mechanical kinetic energy:Sample calculation for velocity:Results:Table 1: Potential energy, kinetic energy, total energy, and velocity of the 800 kg roller coaster cartTable 2: Potential energy, kinetic energy, total energy, velocity of the 300 kg roller coaster cart.Graphs:Its graphing time. These graphs are a bit different than the ones you did in thedata analysis assignment at the beginning of the course. In this case you havethree things to graph on each graph. (One graph for the 800 kg roller coaster cartand one graph for the 300 kg roller coaster cart.) You need to graph thegravitational potential energy with respect to height, the mechanical kineticenergy vs height, and the velocity vs height.Lets look at the energy graphs first. In this case both kinetic energy andmechanical energy cover the same range of values. This means they can use thesame scale on the y-axis. So, you will use the left y-axis and the x-axis to graphthe kinetic energy vs height and the potential energy vs height. You will need alegend to explain which line is which. Colour coding is a nice way to highlight this.The velocity values are much different than the energy values. This means youneed a totally different scale. So, your left y-axis wont work. You need to make asecond scale on the right y-axis for your velocity values. You will plot the pointsthe same way as normal, but you will use the numbers on the right-hand scaleinstead. Again, be sure to add your velocity line to the legend with a separatecolour code.Discussion Questions:1. Describe the relationship between the gravitational potential energy and the mechanical kineticenergy of the roller coaster on your graph. (2 marks)2. Describe the shapes of each of the three lines in the graph. Explain why the velocity is different.(4 marks)3. Describe how mass affects the speed at the bottom of the roller coaster. (2 marks)4. Describe how mass affects the gravitational potential energy and the mechanical kinetic energyof the roller coaster. (2 marks)5. At what point does the roller coaster have a maximum value for the following? Justify youranswer by explaining why. (2 marks each)a. Gravitational potential energyb. Mechanical energyc. Velocity6. In your calculations, you assumed that the roller coaster was frictionless. All real roller coastersencounter friction. Describe how the actual values of the variables would differ, or not differ,from your calculated values for a real roller coaster. (Hint: what form of energy would some ofthe total energy be converted to if there was friction in the system?) (4 marks)How you will be graded:Grades will be based on answering questions to demonstrate an understanding of the material coveredin this unit. Point form answers are okay if ideas are complete and use vocabulary (Word Bank)provided. For questions out of 4 marks, there are 4 responses expected. A Jeep Grand Cherokee costs about $45,000 right now. What would be the monthly payment if you could get a 60 month loan at 7.5% APR? Can you afford this? Which of the following is not considered a potential insider threat indicator. Blake has opened a can of pineapple. What should he do with the lid? Explain why. What is Emerson referring to when he alludes to the relationship between "Man and the vegetable?" Write a compound inequality that the graph could represent. Look at this painting by El Greco. What is this work's main feature?A. Classical figuresB. A foreboding backgroundC. A worm's-eye viewD. Elongated and distorted bodies Which of the following is a living organism? virusA piece of woodA stone0 0A tree prepare a news report for a national daily about any social problems prevailing in your community 3 Personality traits _______________________ IN SENTENCESAccording to your family what are you like? _______________________ IN SENTENCES3 Activities you like to do _________________________ IN SENTENCESIs there anything thing you don't like doing ? _______________________ IN SENTENCESWhat do you need for your classes? ___________________________ IN SENTENCESWhat do you find in your classrooms?__________________________ IN SENTENCESWhat can you find in your book-bag?_________________________ IN SENTENCESWhat are your favorite classes?_______________________________ IN SENTENCESWhat classes are the most difficult for you? ____________________________ IN SENTENCES can anyone help me plz It is for my final, please help! What is the main feature of public-interest groups? a. They cost nothing to join, because they are not allowed to collect dues. b. They have special access to elected officials to advance their causes. c. Their efforts benefit people who are not even members of the group. d. They are supported by everyone, regardless of political party affiliation. DNA ___________ is important because it ensures that when a cell divides, the two resulting cells have the same genetic code. Pleaseee help PLEASE HELP ME ASAP this is very important to me IT WILL RAISE MY GRADE and if you help me god bless you Edit the paragraph to correct punctuation with conjunctive adverbs. Alexander Hamilton, the founding father shown on the $10 bill, grew up in poverty. He worked hard to get an education subsequently he became George Washington's secretary during the Revolutionary War. Later he served as a delegate to the Constitutional Convention. Then Washington asked him to serve as Secretary of the Treasury consequently Hamilton became the father of our nation's financial system. how was the Triple alliance and Triple Entente formed What impact does the mining process have on the environment of Canada?A Blasting and digging provides nutrients for the land around the mines.B The mining process releases harmful chemicals into the air producing acid rain.C Left over rock is removed from the Canadian Shield and dumped in the St. Lawrence River.D The mining process helps to stimulate nature in the development of renewable resources. Find the product of 5 and 539. Why doesn't the skater ever regain his potential energy?