how do you find the nth term of 3, 12, 27, and 48

Answers

Answer 1

You Can Divide By Three

3/3 = 1

12/3 = 4

27/3 = 9

48/3 = 16

Answer 2

Answer:

3n²

Step-by-step explanation:

3  = 3 * 1  = 3* 1²

12 = 3 * 4 = 3 * 2²

27 = 3 * 9= 3 * 3²

48 = 3 * 16 = 3* 4²

Therefore, n th term = 3*n² = 3n²


Related Questions

Which equation matches the graph? A. y-2=3(x-2) B. y-2=3(x+2) C. y+2=-3(x+2) d. y-2=-3(x-2)

Answers

Answer:

There's no graph

Step-by-step explanation:

i don’t see the graph

Express 9% as a fraction in simplest form.

Answers

Answer:

[tex] \frac{9}{100} [/tex]

Step-by-step explanation:

9% =0.09 =9/100

9/100 cannot be simplified so that's your answer.

9% as a fraction in simplest form is 9/100.

To express 9% as a fraction in simplest form, we first recognize that "percent" means "per hundred."

Thus, 9% is equivalent to 9 per 100 or 9/100.

However, to simplify this fraction further, we find the greatest common divisor (GCD) of the numerator (9) and the denominator (100), which is 1.

Dividing both the numerator and denominator by their GCD yields 9/100.

Hence, 9% as a fraction in simplest form is 9/100.

This means that 9% represents nine parts out of 100 equal parts, making it a concise and clear representation of a percentage as a fraction.

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Evaluate: f(x) = x + 7
a. f(5) =
b. f(-1) =
c. f(-3) =

Answers

Answer:

Step-by-step explanation:

a. f(5) = 5+7 = 12

b. f(-1) = -1+7 =6

c. f(-3) = -3+7 =4

a. 5+7 = 12
b. -1+7=6
c. -3+7=4

Select all equations that are true. O A. 9.21 x 1000 = 921 O B. 9. 21 x 10 = 92.1 O. C. 0.921 x 100 = 921 O D. 0.921 x 104 = 9,210 I E. 0.0921 x 102 = 9.21​

Answers

B & E. you can always calculate them

PLS HELP ME NEED ANSWERS ASAP pls and thank you!!!!

Answers

I can help if you give us the question

What answers do you need?

Have a nice day

P is a rectangle with a length of 40cm and a width of x cm.
Q is a rectangle with a width of y cm.
The length of Q is 25% more than the length of P.
The area of Q is 10% less than the area of P.
Work out the ratio x : y.
Give your answer in its simplest form.

Answers

Answer;

By simply calculating, using the length and width with the relationship given, it's solved.

25:18

Step-by-step explanation:

see the graph↑

Hope this one can help you!!

Q3) f(x) 2x^2 - 5x, g(x) = 3x^3 find g(4x)

Answers

Answer:

g(4x) = 192x^3

Step-by-step explanation:

For this problem, f(x) is irrelevant since we are simply are dealing with g(x).  We will simply replace the value of x in g(x) with 4x.  So let's do that.

g(x) = 3x^3

g(4x) = 3(4x)^3

g(4x) = 3(4^3)(x^3)

g(4x) = 3(64)(x^3)

g(4x) = 192x^3

Hence, g(4x) is 192x^3.

Cheers.

What is the area of the arrow

Answers

Answer:

32.6

Step-by-step explanation:

David,Jenny and Dan went to the arcade on Wednesday. David spent $3.25 Jenny spent $2.25 more than Dan,who spent $1.75 less than David how much did the spend in all

Answers

Answer: I believe it is 3.75-

Step-by-step explanation:

David: 3.25

Jenny: 2.25 more than Dan

Dan: 1.75 less than David

  3.25

-  1.75

_______

  1.50

Dan spent 1.50

  1.50

+ 2.25

 3.25

_______

$7.00

The Eiffel Tower in Paris France has 674 steps that go from the ground to second floor there are 328 steps from ground to first floor how many steps are there from the floor to the second floor

Answers

Answer:

346

Step-by-step explanation:

i think

Find the area of a triangle whose vertices are located at (-2,5), (-4, -3), and (3,1). Evaluate the determinant using diagonals.

Answers

Answer:

The area of the triangle is 48 unit²

Step-by-step explanation:

The given vertices of the triangle are;

(-2, 5), (-4, -3), and (3, 1)

The formula for finding the area of a triangle with given coordinates of the vertices is as follows;

[tex]\Delta = \dfrac{1}{2}\times \begin{vmatrix}x_1 & y_1 & 1\\ x_2 & y_2 & 1\\ x_3 & y_3 & 1\end{vmatrix} = \dfrac{1}{2}\times \left | x_1\cdot y_2 - x_2\cdot y_1 + x_2\cdot y_3 - x_3\cdot y_2 + x_3\cdot y_1 - x_1\cdot y_3\right |[/tex]

Substituting gives;

[tex]\Delta = \dfrac{1}{2}\times \begin{vmatrix}-2& 5 & 1\\ -4 & -3 & 1\\ 3 & 1 & 1\end{vmatrix} \\\Delta = \dfrac{1}{2}\times \left | (-2)\times (-3) - ((-4)\times 5) + (-4)\times 1 - 3\times (-3) + 3 \times 5 - (-2)\times 1\right | \\\Delta = \dfrac{1}{2}\times \left | 6 +20 -4 +9 + 15+2\right | = 48[/tex]

The area of the triangle = 48 unit².

4n+3< 6n+8 -2n what is n

Answers

Answer:

[tex]8>3[/tex]

Step-by-step explanation:

STEP 1: Rewrite so   n is on the left side of the inequality.

[tex]6n+8-2n>4n+3[/tex]

STEP 2: Subtract  2 n  from  6 n .

[tex]4n+8>4n+3[/tex]

STEP 3: Move all terms containing  n  to the left side of the inequality.

[tex]8>3[/tex]

Para preparar una limonada usé litro de jugo de limón natural. Además, utilicé litros de agua. ¿Cuántos litros de líquido utilicé para hacer la limonada?

Answers

Answer:

Falta la cantidad de litros de agua utilizados para hacer limonada, e.g. si utilizaste 1 litro de jugo de limon y 3 litros de agua, utilizaste 4 litros de liquido en total. Si utilizaste 1 litro de jugo de limon y 5 litros de agua, utilizaste 6 litros de liquido en total.

Para encontrar la solucion al problema todo lo que tienes que hacer es sumar 1 litro de jugo de limon mas la cantidad de litros de agua que hayan sido utilizados. Tanto el jugo de limon como el agua se miden en litros.

What is an example of all data collected on a group

Answers

Answer:

Direct Observation

Step-by-step explanation:

Some of the most common qualitative data collection techniques include open-ended surveys and questionnaires, interviews, focus groups, observation, case studies, and so on.

There are many methods used to collect or obtain data for statistical analysis. Three of the most popular methods are: Direct Observation • Experiments, and • Surveys. A survey solicits information from people; e.g. Gallup polls; pre-election polls; marketing surveys.

Find the value of c that completes the square

x^2+2x+c

Please help me with how to do this, and show me. Thank you.

Answers

Answer:

c = 1

Step-by-step explanation:

Given

x² + 2x + c

To complete the square

add ( half the coefficient of the x- term )² to x² + 2x

x² + 2(1)x + 1

= (x + 1)²

Thus

x² + 2x + 1 = (x + 1)² ← a perfect square

with c = 1

Janet can do a job in 3 hours, and Garry can do the same job in 2 hours. If Janet works for 1 hour before Garry comes to help, how long will it take them to do it together.

Answers

Answer:

48 minutes

Step-by-step explanation:

Given that:

Time taken by Janet = 3 hours

Janet's rate = 1/3 job / hour

Time taken by Garry = 2 hours

Garry's rate = 1/2

Rate of working together :

1/3 + 1/2 = (2 + 3) /6 = 5/6 job/hour

If Janet works for one hour before Garry joins ;

1/3 of the job has been done by Janet

1 - 1/3 = 2/3 of the job left

Hence to finish the job together, it will take :

Fraction of JOB left ÷ rate of working together

(2/3 ÷ 5/6)

= 2 /3 * 6/5

= 12 / 15

= 4 / 5 hours

To minutes

(4/5) * 60

= 240/5

= 48 minutes

Answer:

1 4/5

Step-by-step explanation:

How many ways can eight letters be arranged into groups of five where order matters and the first two letters are already chosen?

100
120
240
720

Answers

Answer:

120

Step-by-step explanation:

There are 120 ways can eight letters be arranged into groups of five where order matters and the first two letters are already chosen.

What is Combination?

A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Since, we're dealing with a problem where the order matters and the first two letters are already chosen we need to subtract the number of letters and the number of available slots per group.

Here, We use the permutation formula to find the answer, but before that let's check values.

n = 8

k = 5

Now since there are two letters already chosen we have to deduct two from both the value of n and k.

n = 6

k = 3

Hence, we can use the permutation formula:

P (n, k) = n! / (n - k)!

P (6, 3) = 6! / (6 - 3)!

P (6, 3) = 120

Thus, There are 120 ways can eight letters be arranged into groups of five where order matters and the first two letters are already chosen

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Which of the following is an arithmetic sequence?

A. 2, 4, 8, 16, ...
B. -8, -6, -4, -2, ...
C. -2, 4, -6, 8, ...

Answers

Answer:

B

Step-by-step explanation:

Brainliest please, thanks :)

Line AB has endpoints A(3,4) and B(-2,8). What is AB to the nearest tenth

Answers

Answer:

6.4

Step-by-step explanation:

To find the distance you have to do this formula.

[tex]\sqrt{(x2 -x1)^{2}+(y2-y1)^{2}} \\\sqrt{(-2 -3)^{2} + (8-4)^{2}\\} \\\sqrt{(-5)^{2} + (4)^{2}} \\\sqrt{25 + 16} \\\sqrt{41} \\ \\\sqrt{41} = 6.40312\\6.4[/tex]

6.4 is the answer rounded to the nearest tenth.

Hope this helps!!

What it the average rate between o and 20?

Answers

Hey the answer to your question is 10

In the last quarter of a high school football game, your team i s behind by 21 points. A field goal is worth 3 points and a touchdown (after the extra point is worth 7 points. Let x represent the number of field goals scored and y represent the number of touchdowns scored. Write an inequality that models the different number of field goals and touchdowns your team could score to win the game. (Assume the other team doesn't score any more points.)​

Answers

Answer:

3x + 7y > 21

Step-by-step explanation:

3x + 7y > 21

where:

x = number of field goals needed to win

y = number of touchdowns (plus extra point) needed to win

Since your team is 21 points behind and you want to win the game, not tie it, the number of field goals and touchdowns must result in a number higher than 21, not equal to or higher than.

Answer:

3x + 7y > 21

3x + 7y > 21

where:

x = number of field goals needed to win

y = number of touchdowns (plus extra point) needed to win

Since your team is 21 points behind and you want to win the game, not tie it, the number of field goals and touchdowns must result in a number higher than 21, not equal to or higher than.

Simplify the expression $17x-24x+13x$. Your answer should have the variable $x$ in it only once.

Answers

Answer:

1

Step-by-step explanation:

1+1=2

Click below for more info

transformation:rotation,reflection or translation?

90 degree clockwise,90 degrees counter clockwise 180 degrees clock wise 180 degrees or 180 counter clockwise?

followed by a reflection, rotation or translation?

Answers

Answer:

Step-by-step explanation:

Counter clockwise 180 degree rotation

Solve the following:
2(x+3)=x-4

Separate question

4(5x-2)=2(9x3)

Answers

Answer:

Step-by-step explanation:

2x+6=x-4

x=-10

20x-8x=.....

A water tank is in the shape of a right circular cone as shown above. The diameter of the cone is 10 feet, and the height is 15 feet. The shape of the water in the tank is conical with radius r feet and height h feet. At noon, water is leaking from the bottom of the tank at a rate of 12 cubic feet per hour, and the volume of water in the tank is 27π cubic feet. At noon, what is the rate at which the height of the water in the tank is changing? (The volume V of a right circular cone with radius r and height h is V=13πr2h.)

Answers

The rate at which the height of water tank changing is [tex]0.4244 \; \text {ft./hr}[/tex]

Step-by-step explanation:

Given information:

[tex]\text{\bold{The diameter of cone}}=10\;\rm{ ft.}[/tex]

[tex]\rm{The\; height\; of\; the\; cone}= 15\;\rm{ ft.}[/tex]

[tex]\text{The rate at which the water is leaking }= 12 \; \rm ft^3/hr.[/tex]

[tex]\text{Volume of water tank}=27 . \pi \; \rm ft^3[/tex]

Now,

If ,we take a right circular cone with radius r and height h , its volume

[tex]\text{volume (V)} = (1/3) \times \pi \times \rm{r^3 \times h[/tex]

Now, the radius of cone when the volume of water tank is given

[tex]\frac{1}{3}\times \pi \rm\times{r^2 \times h = 27 \times \pi[/tex]

The ratio of height to radius of the cone :

[tex]\text {h/r} =3[/tex]

[tex]\text r = \text h/3[/tex]

Now calculate :

[tex]dV/dt= dV/dh \times dh/dt[/tex]

Which gives:

[tex]12 = \frac{d(\text h^3/27 \pi)}{dh} \times \frac{d\text h}{dt} \\\\\frac{d\text h}{dt} = \frac{12}{\pi \text h^2/9}[/tex]

As ,

[tex]27=\frac{1}{27 \times h}[/tex]

[tex]\text h^3=27^2\\\text h= 9\\[/tex]

Now,

[tex]dh/dt=12/(\pi.\text h^2/9)\\dh/dt=4/3\pi\\dh/dt=0.4244\\[/tex]

Hence, The rate at which the height of water tank changing is [tex]0.4244 \; \text {ft./hr}[/tex]

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The graph of f(x) = 2x + 3 shifts 10 units to the right when it is replaced with the graph of f(x) = 2x − k. What is the value of k?

Answers

Answer:

k=7

Step-by-step explanation:

when entering values of x in the function, it is observed that for k = 7 the results of f (x) displace 10 units. For this see the attached table. Therefore, for this case, the correct answer is k = 7 and the way to solve it is to substitute values of x in the given functions and see the results of f (x).I attach results.

someone please help :)

Answers

The answer is 6m djsjdjjsskskksksksksksksmsmsm

At Southside Middle School, 20% of the students play an instrument. There are 305 students. How many students play an instrument? (3 points) Select one: a. 20 students b. 61 students c. 244 students d. 285 students

Answers

Answer:

number of students that play an instrument= 61

Step-by-step explanation:

Giving the following information:

20% of the students play an instrument

Number fo students= 305

To calculate the number of students that play an instrument, we need to use the following formula:

number of students that play an instrument= total students*proportion of students

number of students that play an instrument= 305*0.2

number of students that play an instrument= 61

what is 20 percent of 305

61

just did a test with that question got it right

Common Factors for
21 and 63

Answers

Answer:

I think it is this but I haven't done factors in a long time

for 21:

1, 3, 7 and 21

for 63

(1, 63), (3, 21) and (7, 9).

hope this helps!

For what value of x is PQ || BC?
A 5
B. 6
C. 7
D. 8

Answers

Answer:

C. 7

Step-by-step explanation:

[tex] In\: \triangle ABC\\

\overline{PQ} \parallel \overline {BC}.. (given) \\[/tex]

Therefore, by Basic Proportionality theorem:

[tex] \frac{AP}{PB} = \frac{AQ}{QC} \\\\

\therefore \frac{x}{x+7} = \frac{x-3}{x+1} \\\\

\therefore \: \frac{x - x - 7}{x + 7} = \frac{x - 3 - x - 1}{x + 1} \\ (by \: dividendo) \\ \\ \frac{ - 7}{x + 7} = \frac{ - 4}{x + 1} \\ \\ \frac{7}{x + 7} = \frac{4}{x + 1} \\ \\ 7x + 7 = 4x + 28 \\ \\ 7x - 4x = 28 - 7 \\ \\ 3x = 21 \\ \\ x = \frac{21}{3} \\ \\ \huge \red{ \boxed{ x = 7}}[/tex]

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