Find the nth term of this quadratic sequence
4,9, 16, 25, 36,​

Answers

Answer 1

Answer:

[tex]a_{n}[/tex] = (n + 1)²

Step-by-step explanation:

The terms are square numbers with each term shifted to the right by 1

That is 1, 4, 9, 16, 25, 36, .....

Thus to obtain 4 in the first position, then

n = 1 → (1 + 1)² = 2² = 4

To obtain any term add 1 to its position in the sequence, that is

[tex]a_{n}[/tex] = (n + 1)²


Related Questions

2x2 + 3x - 5 = (2x + 5)(?)
please help whats the missing numbers

Answers

Answer:

(2x+5)(x-1)

Step-by-step explanation:

2x²+3x-5= 2x²+5x-2x-5=x(2x+5)-1(2x+5) = (2x+5)(x-1)

Only do 7. iii
I will mark you as brainliest.. I don't have time please fasttt​

Answers

Answer:

Check my explanation

Step-by-step explanation:

(i) the area of the floor is 30m² (6m · 5m)

(ii) the perimeter of the floor is 22m (6m + 5m + 6m + 5m)

(iii) the area of the walls is:

     24m² (for the 6m by 4m walls)

     20m² (for the 5m by 4m walls)

     88m² in total total

the linear equation y = 400 + 50x represents the total cost, y , per hour, x , for a lawyer at a law firm. The lawyer charges a flat retainer fee and then charge per hour of work done. true or false The y-intercept of the line is 50.
True – The , y, -intercept of the line is 50.

The y-intercept represents the flat retainer fee.
True – The, y, -intercept represents the flat retainer fee.
False – The, y, -intercept represents the flat retainer fee.
The slope of the line is 400.
True – The slope of the line is 400.
False – The slope of the line is 400.
The slope represents the cost of work per hour.
True – The slope represents the cost of work per hour.
False – The slope represents the cost of work per hour.

Answers

Answer:

453

Step-by-step explanation:

because we multiply the value with the equation

Please help. I really don't seem to understand this question. ​

Answers

Answer:

m3=15(8)+22=142

m1=19(8)-10=142

Both are equal so the answer is Yes they are parallel

What is 2 13/18 - z = 1 19/36

Answers

Answer z= 43/36

Step-by-step explanation:

We have given,

2 13/18 - z = 1 19/36

Since 2 13/18 = 49/18  and 1 19/36 = 55/36

So we can write,

2 13/18 - z = 1 19/36

or 49/18 - z = 55/36

or 49/18 - 55/36 = z

or (98 -55)/36 = z

or 43/36 = z

Hence we got z = 43/36


In triangle ACE, G is the centroid and BE = 18. Find BG and GE.

a BG=12, GE=6
b BG=4 1/2, GE=13 1/2
c BG=6, GE=12
d BG=9 GE=9

Answers

Answer: Choice C)  BG = 6, GE = 12

=======================================================

Explanation:

The centroid G cuts the median segment BE such that BG is 1/3 of BE, and GE is 2/3 of BE.

So,

BG = (1/3)*BE = (1/3)*18 = 6

GE = (2/3)*BE = (2/3)*18 = 12

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

Put another way: GE is twice as long as BG

Let x = BG. This means 2x = GE

Leading to

BG+GE = BE

x+2x = 18

3x = 18

x = 18/3

x = 6 = BG

2x = 2*6 = 12 = GE

Can someone please help me

Answers

Answer:

.

Step-by-step explanation:

10x-15y=-15
add 10x to -15
divide each by -15
answer: y= -10/15x+1

One number is 3 more than 4 times the second number. Their sum is 43. Find the numbers. Answer : The numbers are , .

Answers

Step-by-step explanation:

Let x be the 2nd number.

Then the 1st number is 4x + 3.

We have 4x + 3 + x = 43, 5x = 40, x = 8.

Hence the numbers are 35 and 8.

Which of the following situations are equal to 2? Select all that apply.

A) 75% of 3
B) 20% of 5
C) 10% of 20
D) 50% of 4
E) 25% of 8

If you answer this you will get 100 points and marked Brainlest.
Please don't put any random anwser.

Answers

Answer:

C, D, and E

Step-by-step explanation:

Hope this helps.

Happy New Year!!

PLZ HURRY IM BEING TIMED ALSO WILL GIVE BRAIN


Oksana is working to solve the equation 1 3 x = −1 4 x - 10.

1. Add 1 4 x to both sides: 1 4 x + 1 3 x = −10
2. Find a common denominator: 3 12 x + 4 12 x = −10
3. Combine the terms: 7 12 x = −10

What should she do next?

Answers

Answer:

Then she has to divide by 712 into both sides

Step-by-step explanation:

Answer: hope this helps

Step-by-step explanation:

Someone help shawty out por favor

Answers

9514 1404 393

Answer:

  AC/GI = BC/HI

Step-by-step explanation:

To make use of the SAS similarity theorem, an angle must be shown congruent, and the sides on either side of it must be shown proportional. Here, the congruent angles are ...

  ∠C ≅ ∠I

and the proportional sides are ...

  AC/GI = BC/HI . . . . . . matches the last choice

The function B gives the depth of the water, in inches, t minutes after Tyler began to fill the bathtub. What does B(9)=11 mean?

Answers

Answer:

B(9) = 11 means the depth of the water in the bathtub, 9 minutes after Tyler began to fill the bathtub is 11 inches

Step-by-step explanation:

Whereby the function is expressed as B(t) = d,

Where;

d = The depth of the water

Therefore, when we have B(9) = 11, by comparing with the general form of the function, B(t) = d, we have;

t = 9 = The time in minutes after Tyler began to fill the bathtub = 9 minutes

d = The depth of the water = 11 inches

Which gives the meaning of the equation, B(9) = 11 as the depth of the water in the bathtub, 9 minutes after Tyler began to fill the bathtub is 11 inches.

3/6 is simplest form 12/24 1/2 1/3 Choose the pair of equivalent fractions. 1/2=2/4 3/6=15/24 1/3=3/6 Choose the pair of equivalent fractions. 6/12= 1/4 3/5=6/15 3/12=1/4 Choose the pair of equivalent fractions. 1/2= 12/18 5/3=1/3 1/2=5/10 Which is the correct mixed number for this improper fraction: 36/10 3 6/10 3 3/5 3 1/3 Which one is the correct mixed number for this improper fraction: 10/3 1 7/3 2 4/3 3 1/3 Which improper fraction matches this mixed number: 2 5/8 21/8 15/8 18/8 Which improper fraction matches this mixed number: 4 1/2 7/2 9/2 6/2

Answers

Answer:

1/2 is the simplest form of 3/6

1/2 and 2/4 are equivalent fractions

3/12 and 1/4 are equivalent fractions

1/2 and 5/10 are equivalent fractions

i am not completely sure about the improper fractions. sorry

Step-by-step explanation:

Answer:

3 5/6

Step-by-step explanation:

i took the test hope you pass

A 5 pound tub of cottage cheese at n dollars per pound costs $10.25 .
Write an equation for the following word problem

Answers

Answer:

5n = $10.25

Step-by-step explanation:

We know that the tub is 5 pounds, and costs $10.25. We also know that n is in dollars per pound. Dollars per pound can be written as the product of dollars, divided by pounds, so we can plug that in being n = $10.25/5, next we want to make the equation contain an integer on both sides and not contain any fractions, so we multiply both sides by 5, resulting in 5n = $10.25


(32 +1) + (5 + 7z) =

Help please

Answers

Answer: -5.428

Step-by-step explanation:

33 + 5 + 7z = 0

38 + 7z = 0

7z = -38

z = -38/7


Three times Mary's age added to Beth's age is 34 years. Half of Mary's age minus Beth's age is 1 year. How old are Mary and Beth?

Answers

Answer:

It’s 15 and 17

Step-by-step explanation:

34-7x=2y

-13 -13

(15,17)

-4.32193257293 simplified?????

Answers

Answer:

-4.3

Step-by-step explanation:

It is -4.3 because the 2 is less than 5

:)). Have a blessed day

Meg and Tanner take a road trip together where they take turns driving. The ratio of the number of miles that Meg drives to the number of miles that Tanner drives is 4:3. If Meg drives 112 miles, what was the length of the trip?

Answers

Answer:

Step-by-step explanation:

[tex]\frac{Meg}{Tanner}[/tex] = [tex]\frac{4}{3}[/tex]

total dist. driven = dist. Meg drove + dist. Tanner drove

Meg = 112

Tanner = x    or how far did Tanner drive?

[tex]\frac{112}{x}[/tex] = [tex]\frac{4}{3}[/tex]

[tex]\frac{3}{4}[/tex] * 112 = x

84 =x   so Tanner drove 84 miles  

total driven = 112 + 84

total driven = 196    :)

2y + ( 4x+ 7) + (2x+19)|

Answers

Answer:

[tex]2y + (4x + 7) + (2x + 19) \\ = 2y + (4x + 2x) + (19 + 7) \\ = 2y + 6x + 26 \\ = 2(y + 3x + 13)[/tex]

Find the slope of the line that passes through the points (2, -5) and (3, -6)

Answers

Answer:

slope is -1

Step-by-step explanation:

slope is

m= (y2-y1) / (x2-x1) = -5+6 /2-3 = 1/-1 = -1

Solve the exponential equation for x 56^(3x-8)=1

Answers

Answer:

x=8 over 3

Step-by-step explanation:

help please!!!!!!!!​

Answers

the correct answer is d!!

Someone, please answer this ASAP.... it's due today :(

At a fishery, the largest catches in August were of blackfin tuna, sailfish, blue marlin, and king mackerel. The fishery calculated the mean and standard deviation of the weights, in pounds, of each type of fish, as shown in the table. Which data set has the smallest spread?

Answers

Answer:

Blue marlin

Step-by-step explanation:

True or false plz help

Answers

Answer:

I THINK ITS FALSE

Step-by-step explanation:

BECAUSE ITS WRONG

Answer:

i'mma go with false  

i hope is right

if not sorry

Step-by-step explanation:

Solve for x.
X + 10
12x - 50
x = [?]

Answers

Answer: x = 5

Step-by-step explanation:

Solve the system by substitution.
x + 6y = -2
-x= 3y - 10

Answers

Answer:

x = 22, y = -4

Step-by-step explanation:

x + 6y = -2 --- Equation 1

-x = 3y - 10 --- Equation 2

Equation 2 ×(-1): x = -3y + 10 --- Equation 3

Substitute x = -3y + 10 into Equation 1:

x + 6y = -2

-3y + 10 + 6y = -2

3y + 10 = -2

3y = -2-10

    = -12

y = -12 ÷ 3

y = -4

Substitute y = -4 into Equation 3:

x = -3y + 10

x = -3(-4) + 10

  = 12 + 10

x = 22

Please help me solve this...

Answers

Equation is 2x+29=21

X=-4

Find the measure of BEF

Answers

Answer:

the answer will be 140

Step-by-step explanation:

i am not sure

Answer:

B. 30

hope it helps.

and sorry, if it's wrong.

Fine the equation of the line that is perpendicular to the given line and passes through the given point. Enter the right side of the equation as a single fraction. y=7x-1/4;(5,5)
The equation is y=
Please help it’s urgent! :)

Answers

Answer:

[tex]y=-\frac{4}{7} x+\frac{55}{7}[/tex]

Step-by-step explanation:

Change the given equation to slope-intercept to get [tex]y=\frac{7}{4}x-\frac{1}{4}[/tex]. When you multiply the slopes of perpendicular lines, you get -1. -1 divided by [tex]\frac{7}{4}[/tex] is [tex]-\frac{4}{7}[/tex]. The slope of the new line is then [tex]-\frac{4}{7}[/tex]. The perpendicular line passes through (5, 5) so you can have the equation[tex]5=-\frac{4}{7} (5)+b[/tex]. Simplifying gets [tex]b = \frac{55}{7}[/tex] . So now the final equation for the perpendicular line is [tex]y=-\frac{4}{7} x+\frac{55}{7}[/tex]

can someone help me out please

Answers

Second and last one are correct
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