Find the nth term of this quadratic sequence.
3, 11, 25, 45

Answers

Answer 1

Answer:

3 , 11, 25, 45

Diff 8 14 20

Diff 6 6

The second differences are the same. The sequence is quadratic and will contain an n^2 term. The coefficient of n^2 is always half of the second difference. In this example, the second difference is 6. Half of 6 is 3 so the coefficient of n^2 is 3

therefore 3n^2

3 11 25 45

3n^2 3 12 27 48

Remainder 0 -1 -2 -3

Difference -1 -1 -1

linear sequence with nth term -n+1

so nth term of quadratic sequence in 3n^2-n+1


Related Questions

can y'all please help 10 points​

Answers

Answer:

[tex] \frac{23}{24} [/tex]

Step-by-step explanation:

[tex]2a + b[/tex]

[tex]a = \frac{5}{12} \\ b = \frac{1}{8} [/tex]

Substitute a = 5/12 and b = 1/8 in the expression.

[tex]2( \frac{5}{12} ) + \frac{1}{8} \\ \frac{5}{6} + \frac{1}{8} [/tex]

Our denominator must be 24. (LCM)

[tex] \frac{5 \times 4}{6 \times 4} + \frac{1 \times 3}{8 \times 3} \\ \frac{20}{24} + \frac{3}{24} \\ \frac{23}{24} [/tex]

There are 16 ounces in a pint and 8 pints in one gallon. How many ounces are in one gallon?


Answers

Answer:

128 oz

Step-by-step explanation:

128 ounces in the us

There are 128 oz because 16 multiplying by 8 is 128 in the us

What is 13 4/5 + 5 1/3

Answers

The answer is 19 2/15

Step-by-step explanation:

Add the whole numbers

13 +5 = 18

Add the fractions

4/5 +1/3

The LCD is 15

12/15 + 5/15

17/15

Simplify

17/15 = 1 2/15

1 is a while number so, add it to the other whole number

18 +1 = 19

Your final answer will be 19 2/15

Please gimme brainliest

how many degrees is the measurement of angle 1? show you work GVING BRAINLY

Answers

Answer:

m<1 = 79°

Step-by-step explanation:

12x + 19 + 22x - 9 = 180

add the numbers

34x + 10 =180

minus 10

34x = 170

divide by 34

x = 5

plug 5 into the equation of angle 1

12(5) + 19 =

79

PLEASE ANSWER

What is a ratio?

Answers

A ratio is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.

The quantitative and relatable relation between two amounts of goods or numbers shows the number of times one value contains or is contained within the other or one number/value with respect to the other number/value.

It is basically the relationship between two similar magnitudes with respect to the number of times the first contains the second.

Lets us understand this with the help of an example that the ratio of x to y can be written as

x: y x / y

Example: the ratio of 1 to 2, written 1:2 or 1/2.

Know more about Ratio: https://brainly.com/question/12024093

Question on the picture

Answers

Answer:

[tex]\mathtt{\huge\star{\pink{\underline{ option\: D }}}}\huge\star[/tex]

It should be question D

if there are 5 people per 10000 buses how many will there be

Answers

Answer:

45 x 5 = 225 so 225 students altogether on 5 buses

Step-by-step explanation:

have a good day

Answer:

50,000 people.

Step-by-step explanation:

5 people on each bus.

10,000 buses total.

5 x 10,000 = 50,000

luz drives at an average speed of 60 miles per hour.
She has driven for 2 hours and has traveled a distance of 120 miles.

This situation can be represented with a linear equation written in point-slope form, where x represents the number of hours and y represents the number of miles.

Answers

Answer:

The answer is y = 60x, there is no y-intercept as she has started at zero.

Step-by-step explanation:

Hope this helps!

Answer:

i got the first one wrong(not 4)

the second is (2,120)

and the last y-120=60(x-2)

Step-by-step explanation:

Find the exact length of the third side.
39
36

Answers

The answer is 15 cm

39 cm, 15 cm, 36 cm

Twice the difference of a number and 4 is 3.​

Answers

Alright let’s use the variable X here for example.

2(X - 4) = 3
And that missing number is 5 1/2.
Which now equals 3.

I need help with question b

Answers

Answer:

A triangular pyramid, otherwise known as a tetrahedron.

Step-by-step explanation:

I learned this in math class a long time ago. My major in college revolves around math and I tutor in geometry, so I memorized this type of stuff.

Glad to see that my hard work is paying off.

What is the slope of the line graphed above?

Answers

Answer:

m=3, or in y-intercept form, y=3x-3

LIS
Find the minimum value of
C = 6x + 7y

Answers

Answer:

x= c−7y/6

Step-by-step explanation:

for what value of x is d parallel to e?
A) 20
B) 25
C) 35
D) 37

Answers

7x+3+2x-3 = 180
9x = 180
X= 20
A is the answer
I’m pretty sure It’s A
Hope this helps! Have a great day ^W*

(trigonometry!!) Write the ratios for sin A and cos A. If needed reduce the fractions.

Answers

Answer:

Step-by-step explanation:

sin A = [tex]\frac{35}{37}[/tex]

cos A = [tex]\frac{12}{37}[/tex]

Heather works 40 hours a week and she earns $11.50 per hour. When Heather works over 40 hours, her pay is 1.5 times her hourly pay. How much does Heather earn if she works 46 hours in one week?

Answers

Answer:

563.5

Step-by-step explanation:

it's pretty easy ngl

Answer:

563.5

Step-by-step explanation:

what is the power to 2​

Answers

A power of two is a number of the form 2n where n is an integer, that is, the result of exponentiation with number two as the base and integer n as the exponent.

A power of two is a number of the form 2n where n is an integer, that is, the result of exponentiation with number two as the base and integer n as the exponent.

Derrick's Dog Sitting and Darlene's Dog Sitting are competing for new business. Derrick's Dog Sitting
charges $16 plus $7 per hour. Darlene's Dog Sitting charges $20 plus $5 per hour.
Part 1 out of 2
Complete and solve the equation that can be solved to find the number of hours for which the total cost
will be the same for the two services. In your equation, use x to represent the number of hours of dog
sitting
The equation is
The total cost will be the same for the two services at
hours.

Answers

Answer: both services will cost the same if it is for 3 hours service.

Step-by-step explanation: Hope this helps.

Define x: Let x be the number of hours

Derrick Dogs sitting:

Fixed charged=$12

Hourly change=$5

Total charge=12+5x

Darlene dog sitting:

Fixed charged=$18

Hourly change=$3

Total charge= 18+3x

Find the total number of hours so that both cost are the same:

12 + 5x = 18 + 3x

5x - 3x = 18 - 12

2x = 6

x = 3

ANSWER: both services will cost the same if it is for 3 hours service

Answer:

3 hours hon

Step-by-step explanation:

Please help lol. 15 point!

Answers

I think 20 I am not sure sorry if I get it wrong

Answer:

52

Step-by-step explanation:

Find the volume of the figure. Round to the nearest hundredth if needed.

Answers

Answer:

235.62 cubed yards

Step-by-step explanation:

Area of a cylinder = pi(r^2)*h

pi(5^2)*3 = 235.62

In the figure, angle E measures 54° and angle G measures 29°. What is the measurement of angle H?

A.
25°
B.
34°
C.
97°
D.
126°

Answers

Answer:

H=97 degrees or choice "C"

Step-by-step explanation:

Assuming this is a triangle:

All triangles contain 180 degrees, so:

180=E+G+H, or H=180-E-G

H=180-54-29

H=97

H=97 degrees or choice "C"

Plz help me i need it BRAINLIEST AND GOOD RATING IMMEDIATLY


Marcus and Lily are running at the school track. The graphs below represent the distance in miles each person has run as function of time in minutes. Select all the statements that are true based on the graphs shown.

Answers

where’s the graphssss???

What mistake did Francisca make?
1 point
Francisca is asked to solve the
following equation, Francisca's
work is shown below.
3.5 = ** - 1.5
3.5 = {* - 1,5
+1.5 + 1.5
5 = ***
---
It 풍
Francisca was supposed to add the 1/3, instead of subtracting by 1/3
Francisca was supposed to multiply by 3/1, instead of subtracting by 1/3
Francisca was supposed to divide by 1/3, instead of subtracting by 1/3

Answers

Answer:

Francisca was supposed to divide by 1/3, instead of subtracting by 1/3.

Step-by-step explanation:

She was completing the equation correctly until she subtracted 1/3 instead of dividing both sides. It should have been 5 divided by 1/3 or 15/3 divided by 1/3.

I hope this helps!

Find the GCF of 8a^3b^5c^2 and 12a^2b^3c^2
*Please show your steps to the equation*

Answers

Ans = 4abc^2
Greatest common factor of 8 and 12 is 4
A^3 and a^2 = a
B^5 and b^3 = b
C^2 and c^2= c^2

This is due today, please help!!! I will give brainliest.

Answers

Answer:

Step 1, all the exponents are increased by 4

Step-by-step explanation:

The first incorrect step occurred in Step 1, where all the exponents were increased by 4.

This is mathematically incorrect due to exponential rules. When distributing exponents inside parentheses, we have to multiply the existing exponents inside the parentheses by the exponent outside the parentheses.

For example, (x²)³ is not x²⁺³, but rather, x⁽²⁾⁽³⁾.

We multiply the exponents instead of adding them together.

Therefore, the correct Step 1 should multiply all the variables' exponents by 4.

Steps 2 and 3 are correct since we do add the exponents when multiplying exponents with the same base, and we do subtract exponents with the same base when dividing.  

For Items 16-28, determine whether each function is
even, odd, or neither.
f(x) = -x + 2x + 5
f(x) = x + 8x
f(x) = -7x² + 5
f(x) = 5x + 3x? – 7x + 1

Answers

Answer:

f(x) = -x + 2x + 5

is odd since f(x) = -5

f(x) = x + 8x

is neither because f(x) = 0

f(x) = -7x² + 5

is odd since f(x) = √5/7

f(x) = 5x + 3x? – 7x + 1

is odd

Chad has a bag with 2 mint sticks, 11 jelly treats, and 7 fruit tart chews. If he eats one piece every 4 minutes, what is the probability his first two pieces will be a jelly treat and a mint stick and represent as a percent to the nearest tenth if necessary?

Answers

Answer:

first you add all the candies together to get 20 in the bag

2+11+7=20

jelly treat:

now we divide 11 by 20 to get a decimal

11/20= .55

multiply .55 by 100 to change it to a percentage

.55*100=55

first part of answer: He has a 55% chance of getting a jelly treat

mint stick:

divide 2 by 20 to get a decimal

2/20=.1

change .1 to a percent by multiplying by 100

.1*100=10

second part of answer: he has a 10% chance of getting a mint stick

Step-by-step explanation:

I need help solving a practice problem ​

Answers

Answer:

17 i think

Step-by-step explanation:

Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong.

Answers

Answer:

360

Step-by-step explanation:

hope this helps.

Please hurry. I will give brainliest. :)

Answers

Answer: Am thinking it is B because am only 11 and I don't know if this is right. Hope this helps, or not...

Step-by-step explanation:

Other Questions
Choose all the right answers.Choose all of the sentences that have BOTH more than one subject AND have the correct subject-verb agreement.They try to do well.He tries to do well.Does the girls study?Do the girls study? What is Old Majors solution to the animals misery? Animal Farm Chapter 1. How many cups are in 16 quarts? 1 quart = 4 cups In NOP, \overline{NP} NP is extended through point P to point Q, \text{m}\angle NOP = (3x+8)^{\circ}mNOP=(3x+8) , \text{m}\angle PNO = (2x+9)^{\circ}mPNO=(2x+9) , and \text{m}\angle OPQ = (8x-16)^{\circ}mOPQ=(8x16) . What is the value of x?x? Part-BVIII. You had the most difficult examination today, but you did iteasily and are happy about it. Write a diary entry about it in about100-120 words. Remember to mention the subject and the initialanxiety you had felt prior to the paper.(5 marks) what is the condition of the poor of the poem the man with a How did Aryan culture explain the use of the caste system What calculation is modeled on the number line?Answer ASAP will give brainliest 55 points too plzz A large university accept 40% of the students who apply. Of the students the university accept, 25% actually enroll. If 10,000 students apply, how many actually enroll? Write x^2-8x+22 in the form (x-a)^2 +b Solve the fraction problem and reduce the answer to simplest form:1/5 + 3/4 = ??7/9 - 3/5= ??6/8 - 2/7 = ??5/6 + 5/10 = ??7/8 - 2/3 = ??8/10 + 5/6 = ??9/11 - 2/3 = ?? Read the passage.EarthshipsWhat is an earthship?An earthship is a home designed to make use of recycled materials and increase energy conservation. Ideally, by living in an earthship, a person can have a home that is off the grid. People who live in earthships do not depend on outside sources for electricity, food, or water. Building an earthship may be an attractive choice for those who want to use fewer of our planets non-renewable resources.The FoundationFirst, the foundation is built by firmly packing dirt inside recycled tires. Then, the tires are placed in a pyramid-like stack going as high as needed. Next, cement is spread and smoothed between the tires to create a solid wall. When this is finished, the walls are sealed with a protective coating and painted. Some interior walls are built using recycled cans and cement, also sealed with a protective coating.Solar EnergySolar panels give enough stored energy in batteries to provide electricity for appliances, lighting, and electronics. However, solar-powered batteries hold about one-third the charge of energy used in a regular household wired for electricity. This means that people either buy more batteries or intend to use less electricity than a conventional household. Ideally, earthships are built in places where there is an abundance of sunshine year-round.Floor-to-ceiling windows on an earthships south wall also allow plenty of sunlight. It is important that no trees block the light on this side of the house. The sunlight shines directly onto a brick floor, which then absorbs the heat. This provides enough warmth to maintain a comfortable temperature in the house for the rest of the day. This method of heating the home is called passive solar. Most earthships also have either a wood stove or a heater that uses propane, a type of natural gas. These heat sources are useful on cloudy days. During the summer, the combination of the cool temperature of the earth beneath the floor plus the thick walls can keep the house comfortable without the use of air-conditioning.Recycled WaterGutters on the roof collect rainwater that then trickles down into large storage barrels. The water is used for taking showers, doing dishes, and flushing the toilet. It is also filtered for drinking. People sometimes build a greenhouse to grow their own food. Water that has been used for dishwashing or showers can be saved if the soaps are chemical-free. This recycled gray water can be used yet again to water the plants in the greenhouse.Potential ProblemsEarthships have been around since the 1970s. Now, long-term studies have revealed some problems. For one, without sufficient sunlight during the winter, large amounts of natural gas known as propane and/or wood are used to heat the home. Propane use can be costly, and unless one has planned far ahead, a wood supply can be quickly depleted.Another problem is that tires used in the foundation walls can, after a long period of time, begin to crack, releasing a toxic gas that has built up over time in the walls. The use of cement, which is a porous material with many small holes and spaces, allows the gases to leak into the air. The type of gas emitted is not detectable by smell but can make people sick. To address this problem, the walls of the home needs to be resealed every year.Cost can also be a significant challenge. Some earthship building companies claim that it is far cheaper to build an earthship because only recycled materials are used. Also, a contractors license or training is not needed to build one. This, though, is true if it is built 100% by the owner, which could take years to complete. Additionally, the cement, plumbing, and electrical components, as well as the cost of installing solar panels, can be expensive. Just as with the construction of a conventional home, proper permits are often needed to build an earthship.There are clear advantages and disadvantages to these unique homes. As technology improves and new solutions are discovered, earthships may continue to be a wise way to live sustainably using minimal resources.What inference can be made about how building earthships impacts the environment?Question 5 options:It is beneficial because it removes unnecessary trees.It is harmful because it uses old tires.It is wasteful because solar panels are expensive.It helps by using mostly recycled material instead of natural resources. Please please help! Will mark brainliest! Pls Solve this!!!Im giving 20 points and Brainliest to the one who answers first. HELP ME PLEASE!!!!!!!! Identify 3 key ideas from the Enlightenment that influenced the American Revolution Please help I will mark brainliest Which two numbers have a mean of 10 and a range of 4?NEED THIS ASAP PLEASE I WILL LEAVE A GOOD RATING How long it takes for something to travel a certain distance is the definition of: Is this true or false can i have some help please( BRAINLLEST)