Find the 16th term in the geometric series where the first term is 6 and the
common ratio is 2.

Answers

Answer 1

Answer: The first term of a GP is 6 if it's common ratio is 2 find the 6th term

The nth term is ar^(n-1)

So, for your GP, the 6th term is 6*2^5 = ___

Step-by-step explanation: 10:2021

Answer 2

The value of 16th term in the geometric series is,

⇒ 6th term = 192

What is Geometric sequence?

An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

Given that;

The first term is 6 and the common ratio is 2.

Hence, We can formulate;

⇒ nth term = arⁿ⁻¹

⇒ 6th term = ar⁶⁻¹

⇒ 6th term = ar⁵

⇒ 6th term = 6 (2)⁵

⇒ 6th term = 6 x 32

⇒ 6th term = 192

Thus, The value of 16th term in the geometric series is,

⇒ 6th term = 192

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Related Questions

please help!!!!!!!!!!

Answers

Answer:

false true false false

HELP ME OUT PLS!!!!!!!!

The total cost for one year at the state university is $22,500. A student has the following help in covering the costs of school. . • An academic scholarship for $10,000. • Other scholarships and grants for $4,400. Parents pay $1,800, . What is the amount that the student will need to save every month in order to pay off the remaining costs in 10 months?

A) $630

B) $525

C) $1,200

D) $1,440​

Answers

so her University costs are $22,500

however she gets some help because

◉ academic scholarship pays 10,000 off of that

◉ other scholarships pay 4,400 off of that

◉ and her parents pay 1800 off of that

what's left? well, what's left is 22500 - 10000 - 4400 - 1800 = 6300 bucks.

so for the next 10 months she needs to cover 6300 bucks of her expenses, now 6300 spread over 10 months is 630 a pop.

6 divided by 7215 and i need help its to hard????

Answers

Answer:

If you mean 6 / 7215 it is 0.00083

but if you meant 7215 / 6 it is 1202.5

Step-by-step explanation:

The scatter plot shows the number of visitors to a beach and the high temperature for 25 days. To understand the trend of the data, does it make sense to connect all of the data points? What could you do to the graph to represent the general trend of the data? Why?

Answers

Answer:

Yes it does.

Step-by-step explanation:

I gives an estimate of what the weather is.

write each of the following expressions without using absolute value
|y-x| if y>x

Answers

Answer:

y can only be greater than x if x has a variable less than y so the answers is ly- lx

Step-by-step explanation:

Please solve the missing parts

Answers

Answer:

34 28 37 56 34 37 28 20 43 15

The perimeter of a miniature football field is 60 inches. If the width of the field is 11 inches, calculate its length.

Answers

Answer:

The length is 19 inches

Step-by-step explanation:

Step 1:  Determine the length

Perimeter = 2(L + W)

Step 2:  Solve for L

60 /2 = 2(L + 11) / 2

30 - 11 = L + 11 - 11

19 = L

Answer:  The length is 19 inches

Answer:

19 inches

Step-by-step explanation:

Perimeter : 2(L + W) = 60

L + W = 30L + 11 = 30L = 30 - 11L = 19 inches

What is the volume of the cylinder below? 5 4 6 O A. 60 units 3 B. 967 units 3 O C. 80 units 3 D. 120 units 23​

Answers

Answer:

B. 967 units is the answer

Answer:

C

Step-by-step explanation:

3.5 is the number in parentheses!
Show all work
Explain♥️

Answers

[tex]\begin{cases} f(x)=x^2\\ g(x)=x-3 \end{cases}\qquad \qquad (g\circ f)(x)\implies g(~~ f(x)~~) \\\\[-0.35em] ~\dotfill\\\\ f(3.5)=(3.5)^2\implies f(3.5)=12.25 \\\\\\ g(~~ f(3.5)~~)\implies g(~~ 12.25~~)=(12.25)-3\implies \stackrel{(g\circ f)(3.5)}{g(~~ 12.25~~)}=9.25[/tex]

Hello can someone help me out please

Answers

Answer:

The answers are: 35 hot dogs & 52 sodas.

Find the perimeter of the figure.

Answers

ANSWER: 3ft+ 3ft+ 3ft+ 3ft+ 3ft+ 3ft+ 3ft+ 3ft= 24ft

OR

3ftx8= 24ft

EXPLANATION: Each side is 3ft so we count how many sides OF A SQUARE there are on the outside, and each one of them is 3ft so we add them up to get the answer.

Write the pair of fractions as a pair of fractions with a common denominator.
1/3 and 3/8

Answers

Answer: 3/24, simplified 1/8

Explanation: 1/3 x 3/8 = 3/24
3/24 divided by 3 equals 1/8

The length of a window in Andrew’s house is 4 feet and its height is 3 feet. What is the diagonal length of the window?

Answers

Answer:

5 feet

Step-by-step explanation:

Hello!

We can use the Pythagorean theorem to solve this.

Formula: a² + b² = c²

a and b are sidesc is the hypotenuse/diagonal

Solve:

a² + b² = c²4² + 3² = c²16 + 9 = c²25 = c²c = 5

The diagonal is 5 feet.

Answer:

B) 5 ft

Step-by-step explanation:

Find the mean absolute deviation for each data set.
1. The number of kittens in 10 litters: 4, 5, 5, 6, 6, 7, 8, 8, 8, and 9
Med


Answers

Answer:

The mean is 6. When you add all the numbers you get 66 and then youre suppose to divide 66 by 10 in order to get the mean which is 6.

Step-by-step explanation:

4 + 5 + 5 + 6 + 6 + 7 + 8 + 8 + 8 + 9 = 66

66 ÷ 10 = 6

PLEASE ANSWER ASAP WILL MARK BRAINLIEST

Answers

Answer:

the first one is the answer

The answer is c the other ones are incorrect

Raymond caught the football 28 out of 35 times at practice. Predict the number of times he will catch the football during the game if it is thrown to him 20 times.

Answers

Answer:

16 times

Step-by-step explanation:

This problem is solved by ratio. Since the ratio of 28 out of 25 times is 4:5, he has to catch the ball 4:5 or 4 of 5 times. You multiply both 5 and 4 by 4, because that's how many times he's gonna catch it. 4 x 4 = 16, so the answer is 16 times.

Answer:

(4/5)^20

Step-by-step explanation:

1) First, write the numbers of times Raymond caught the football out of 35 attempts. This is a necessary step in order to obtain an appropriate operand.

28

35

2) Reduce the fraction to lowest terms. This is an optional step but it simplifies the problem.

28   /  4

35      4

= 4

  5

3) Raise the fraction to the 20th power. If the ball is thrown at him 20 times, the probability of him successfully catching the ball must be (4/5)^20.

= (4)^2

  (5)

Giving out brainliest!! Help?

Answers

Answer:

(8/3,11/3) is the centroid of the given triangle

pls do mention in comment if u need full solution

Answer:

(8/3, 11/3)

Step-by-step explanation:

Formula of the centroid

(x, y) = [(x₁ + x₂ + x₃)/3, (y₁ + y₂ + y₃)/3]

Points

(-2, 3)(6, 7)(4, 1)

Solving :

Centroid = [(6 + 4 - 2)/3, (3 + 7 + 1)/3]Centroid = (8/3, 11/3)

Which of the following can we use to determine if a data set represents a function? There may be more than one answer.
A. Vertical line test
B. Make sure “y” values do not repeat
C. Make sure there is one and only one input for each output
D. Make sure each x-value has more than one y-value
E. Make a table to determine the numbers in the domain appear only once.

Answers

Answer:

A, B,C, and E. I hope this helps.

Step-by-step explanation:

find the mean of the following data set 5,17,19,24,10,17,21,6,22,5,9​

Answers

Answer:

the answer to that question is 14.09

does (-1, 2), (1, 1),( 1 -1), (2,1), (4,2) represent y as a function

Answers

No. A function maps one input to exactly one output. The given relation maps 1 to both 1 and -1, as indicated by the pairs (1, 1) and (1, -1).

how many tiles of 16 cm² is needed to cover a floor dimension 8 cm by 50 cm?

A 45
B 25
C 28
D 30

(NO LINKS)​

Answers

Answer:

C 28

Step-by-step explanation:

16 tiles is enough for 28  i think cuz i can't use links

Answer:

it is C 28

Step-by-step explanation:

Mr. Borden also asked his students, How do you get to school each day ? Is this question statistical? Explain.

Answers

Answer:

That question is statistical because there can be multiple answers such as, biking, walking, carpooling, and taking a bus.

Step-by-step explanation:

I think it is statistical because each student may have a different answer not not all will be the same for example some may take public transportation, some may walk some may ride bikes or parents may drive them.

Help help math math math

Answers

T-R
hope this helped

Answer: T-R

Step-by-step explanation:

Find an equation for the line that passes through the points (-1,-4) and (5,-2)

Answers

Linear Equations

Linear equations are typically organized in slope-intercept form:

[tex]y=mx+b[/tex]

m = the slope of the lineb = the y-intercept (the value of y when the line crosses the y-axis)

To determine a linear equation in slope-intercept form:

Find the slopePlug the slope into y=mx+bFind the y-interceptPlug the y-intercept into y=mx+b

Solving the Question

We're given:

The line passes through the points (-1,-4) and (5,-2)

First, find the slope of the line (m):

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex] where two points that fall on the line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

⇒ Plug in the given points (-1,-4) and (5,-2):

[tex]m=\dfrac{-2-(-4)}{5-(-1)}\\\\m=\dfrac{-2+4}{5+1}\\\\m=\dfrac{2}{6}\\\\m=\dfrac{1}{3}[/tex]

⇒ Therefore, the slope of the line is [tex]\dfrac{1}{3}[/tex]. Plug this into y=mx+b:

[tex]y=\dfrac{1}{3}x+b[/tex]

Now, determine the y-intercept (b):

[tex]y=\dfrac{1}{3}x+b[/tex]

⇒ Plug in one of the points and solve for b:

[tex]-4=\dfrac{1}{3}(-1)+b\\\\-4=-\dfrac{1}{3}+b\\\\-4+\dfrac{1}{3}=b\\\\b=-\dfrac{11}{3}[/tex]

⇒ Therefore, the y-intercept is [tex]-\dfrac{11}{3}[/tex]. Plug this back into our original equation:

[tex]y=\dfrac{1}{3}x-\dfrac{11}{3}[/tex]

Answer

[tex]y=\dfrac{1}{3}x-\dfrac{11}{3}[/tex]

Compute the flux of the vector field F = xy, 5yz, 6zx through the portion of the plane 3x + 2y + z = 6 in the first octant with the downward orientation.

Answers

The plane has intercepts

y = z = 0   ⇒   3x = 6   ⇒   x = 2

x = z = 0   ⇒   2y = 6   ⇒   y = 3

x = y = 0   ⇒   z = 6

and thus passes through the points (2, 0, 0), (0, 3, 0), and (0, 0, 6).

Parameterize the portion of the plane (call it P) by the vector function,

[tex]\vec r(s,t) = \left\langle 2(1-s)(1-t), 3s(1-t), 6t \right\rangle[/tex]

where 0 ≤ s ≤ 1 and 0 ≤ t ≤ 1.

Compute the normal vector to P :

[tex]\vec n = \dfrac{\partial \vec r}{\partial t} \times \dfrac{\partial \vec r}{\partial s} = -\left\langle 18-18t, 12-12t, 6-6t \right\rangle[/tex]

Then the flux of F through P is given by the surface integral,

[tex]\displaystyle \iint_P \vec F \cdot d\vec S = \int_0^1 \int_0^1 \left\langle 6s(1-s)(1-t)^2, 90st(1-t), 72t(1-s)(1-t) \right\rangle \cdot \vec n \, ds \, dt \\\\ = - \int_0^1 \int_0^1 \left(108(t-1)^3 s^2 + 108(t-1)^2(5t+1) s + 432t(t-1)^2\right) \, ds \, dt \\\\ = - \int_0^1 18(t-1)^2(41t+1) \, dt \\\\ = \boxed{-\frac{135}2}[/tex]


helps pls with this math problems . I’ll give Brainly

Answers

The entrance fee is d dollars, and the meal ticket is $4 less than the entrance fee -> Each meal ticket is d - 4

So, the total amount that the friends pay is 5(d-4)

The dimensions of a rectangular prism are 26 inches by 10 inches by 8 inches. What is the surface area, in square inches, of the prism?

Answers

The surface area of this rectangular prism of dimensions 26 inches by 10 inches by 8 inches is 1096 square inches.

What is the surface area of this rectangular prism?

A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.

The surface area of this rectangular prism = 2( lb + bh + hl)

                                                   

The dimensions of a rectangular prism are 26 inches by 10 inches by 8 inches.

The surface area of this rectangular prism = 2( lb + bh + hl)

  = 2( 26 x 10 + 10 x 8 + 26 x 8)

  = 2(260 + 80 + 208)

  = 2 x 548

  = 1096

Thus, The surface area of this rectangular prism is 1096 square inches.

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Y={2x-1)(x+4)(2x-3)(x-1)

Answers

Answer:

Y =4x^4 + 4x^3 − 37x^2 + 41x −12

Step-by-step explanation:

Y = (2x - 1 ) (x + 4) (2x - 3) (x - 1)

Using commutative property we can re-arrange RHS,

Y= (2x - 1) (2x - 3) (x + 4) (x - 1)

Using the property

[(x+a) (x+b) = x^2 + (a+b)*x +ab],

Y =

[(2x)^2 + (-1 - 3)*2x + (-1 )*(-3)] [x^2 + (4 - 1)*x + 4*(-1)]

From here onwards I would recommend u to do the calculation by your own bc I might have made mistakes

in the steps but I got right but still just check yourself if u copy all the steps as it is

Y = (4x^2 -8x + 3) (x^2 + 3x -4)

Y = 4x^4 + 12x^3 - 16x^2 -8x^3 -24x^2 + 32x + 3x^2 + 9x - 12

Y = 4x^4 + 4x^3 -37x^2 + 41x - 12

Here I got the answer right so my calculations will also might be right

I checked my answer if it's right using an app called "MathPapa" and it's a great app to solve algebra questions like urs. The screenshot of the answer using this app is here on the top. This is the longest question I have solved for anyone, bye and have a nice day ahead!

given f (x)=x-4/x^2+13x+36 which of the following is true

Answers

The function [tex]f(x) =\frac{x - 4}{x^2 + 13x + 36}[/tex] is a rational function

The simplified expression of the function [tex]f(x) =\frac{x - 4}{x^2 + 13x + 36}[/tex] is [tex]f(x) =\frac{x - 4}{(x + 9)(x + 4)}[/tex]

How to simplify the function?

The function expression is given as:

f(x) =x - 4/x^2 + 13x + 36

Rewrite properly as:

[tex]f(x) =\frac{x - 4}{x^2 + 13x + 36}[/tex]

Expand the denominator

[tex]f(x) =\frac{x - 4}{x^2 + 4x + 9x + 36}[/tex]

Factorize the denominator

[tex]f(x) =\frac{x - 4}{x(x + 4) + 9(x + 4)}[/tex]

Factor out x + 9

[tex]f(x) =\frac{x - 4}{(x + 9)(x + 4)}[/tex]

Hence, the simplified expression of the function [tex]f(x) =\frac{x - 4}{x^2 + 13x + 36}[/tex] is

[tex]f(x) =\frac{x - 4}{(x + 9)(x + 4)}[/tex]

Read more about rational functions at:

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Answer: f(x) is increasing for all x > -4

Proof of validity is shown below.

URGENT! In ABC. what is the value of r?

Answers

Answer:

16.2

Step-by-step explanation:

By geometric mean theorem:

[tex] {9}^{2} = 5(x) \\ \\ \implies \: 81 = 5x \\ \\ \implies \: x= \frac{81}{5} \\ \\ \implies \: x=16.2[/tex]

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