What is the 5th term in the geometric sequence described by this explicit
formula?
an = 30 • (-2)(n-1)

Answers

Answer 1

Answer:

-240

Step-by-step explanation:

n = 5

a₅ = 30* (-2)(5 - 1)

   = 30 * (-2)*4

  = 30 * (-8)

  = - 240


Related Questions

seven more than the quotient of a number and 2 is equal to 3 equation ​

Answers

Answer:

Step-by-step explanation:

seven more than the quotient of a number and 2 is 10

7+n/2=10 n=6 check 7+3=10 ok

match each step to its justfication to solve 2x+5=19.

Answers

Step-by-step explanation:

x=7 (given)

2x=14 (divide)

2x+5-5=19-5 (subtraction property of equality)

2x/2=14/2 (divide)

2x + 5=19 (division property of equality)

A club is choosing 2 members to serve on a committee. The club has nominated 3 women and 3 men. Based on chance alone, what is the probability that one woman and one man will be chosen to be on the committee

Answers

Answer: 0.6

Step-by-step explanation:

Given

There are 3 women and 3 men available to form a 2 member committee.

No of ways, a man can be chosen are [tex]3[/tex]

Similarly, no of ways a woman can be chosen are 3

Therefore, probability of choosing 2 members i.e. 1 man and 1 women is

[tex]\Rightarrow P=\dfrac{3}{6}\times \dfrac{3}{5}[/tex]

If the order matter, then

[tex]\Rightarrow P=2\times \dfrac{3\times 3}{6\times 5}\\\\\Rightarrow P=0.6[/tex]

The probability that 1 woman and 1 man will be chosen is "0.6".

According to the question, the club has nominated:

Number of women = 3 Number of men = 3

Now,

→ The number of ways to select two persons from 6 will be:

= [tex]\binom{6}{2}[/tex]

hence,

The probability that one woman and one man will be chosen will be:

→ [tex]P(1 \ women \ and \ 1 \ women) = \frac{\binom{3}{1} \binom{3}{1}}{\binom{6}{2}}[/tex]

                                              [tex]= 3\times \frac{3}{15}[/tex]

                                              [tex]= \frac{9}{15}[/tex]

                                              [tex]= 0.6[/tex]

Thus the above answer is right.

Learn more:

https://brainly.com/question/13419138

Match each three dimensional figure to its volume based on the given dimensions.

Answers

please attach a diagram

Find the vertex of the graphed function.
16= \x - 4 +3
2
The vertex is at

Answers

Answer:

16=/-4+3+2

16=/-1jhcdf why

hyee852iok

Laura, David, and Carlos served a total of 115 orders Monday at the school cafeteria. David served 3 times as many orders as Carlos. Laura served 10 more orders than Carlos. How many orders did they each serve?

Answers

Answer:

Step-by-step explanation:    ts  6  11    19    56

Laura, David, and Carlos served a total of 115 orders

David served 3 times as many orders as Carlos.                 David = 3x

Laura served 10 more orders than Carlos.                      let Carlos = x

How many orders did they each serve?                           Laura  =  x + 10

     Carlos  +  David  +  Laura  = 115

          x  +     3x    +    x+10       = 115

                        5x + 10     =  115

                               5x   =  115 - 10

                               5x   =  105

                                x   =   21    Carlos

                                          63   Davide

                                          31    Laura

                 add then up    115  Total

12(5x+10x^2)=480+60x




(^ = exponents)(show work)

Answers

x=−2 is the aswer to this problem i was wrong before

X=2 or X=-2 is the answer

use the following picture to classify the following statements as true or false

Answers

True:

BC ≈ EF

BAC ≈ EDF

ABC ≈ DEF by ASA

AC ≈ DF


Not True:

ABC ≈ FDE

ABC ≈ DEF by AAS

An angle measures 104° more than the measure of its supplementary angle. What is the measure of each angle?
___° and ___°

thank you <3 best answer will get brainliest.

Answers

Mark Brainliest please

Answer:

38 degrees

Step-by-step explanation:

Let the angle be x

Supplement:: 180-x

Equation:

x = 180-x + 104

2x = 284

x = 142 degrees

therefore , 180-x = 180-142= 38 degrees

A children's inflatable pool takes 17 minutes to fill with an electric air pump. It takes 53 minutes to let the air out of the pool. If the pool's vale is accidentally left open, how long will ot take to fill the pool?

Answers

Answer:

less than 17 minutes

Step-by-step explanation:

A driver works 40 hours a week for the first two months on the job. How much more per week does the driver make after 28 days?

Answers

Answer:

is there something missing in this question. i cant understand

Step-by-step explanation:

please tell me if there is more to this

Assume that Y is normally distributed with mean μ and standard deviation σ. After observing a value of Y, a mathematician will construct a rectangle with length L = |Y|and width W = 3 |Y|. Let A denote the area of the resulting rectangle. What is E(A)?

Answers

It would be 3L and ea poroption thanks for the points

Plz help me solve this

Answers

X=-3 is your answer

simplify the equation, cancel equal terms, move constant to the right, calculate, divide both sides !!!!

Answer: x=-3

Step-by-step explanation:

First let's eliminate the square root

[tex](\sqrt{x^2-5x+2})^2=(\sqrt{x^2+17})^2\\x^2-5x+2=x^2+17[/tex]

Now subtract [tex]x^2\\[/tex] from both sides

[tex]x^2-5x+2-x^2=x^2+17-x^2\\-5x+2=17[/tex]

Subtract 2 from both sides

[tex]-5x+2-2=17-2\\-5x=15[/tex]

Finally divide both sides by -5

[tex]\frac{-5x}{-5} =\frac{15}{-5} \\x=-3[/tex]

HII CAN SOMEONE PLEASE HELP ME, this is my final exam ... Which equation describes the line with slope 4 that contains the point (7,2)?
A. y + 2 = 4(x + 7)
B. y - 7 = 4(x - 2)
C. y+ 7 = 4(x + 2)
O D. y - 2 = 4(x - 7)

Answers

Answer:

I believe it is D

Step-by-step explanation:

I used desmos

Answer:

D

Step-by-step explanation:

Due to the coordinate being positive in both x and y, then you know by putting the numbers in the equation that they will bot subtract from their variable

(3/6) to the power of 2 + 7 x 4 - 5​

Answers

Answer:

0.00000003

Step-by-step explanation:

2+ 7 * 4 - 5 = 25

(3/6) ^ 25 = 0.00000003

Thats easy 67 because since it is to the power 2+7 and more it will give u results

What is the common ratio for the geometric sequence below, written as a fraction?

768, 480, 300, 187.5, …


/

Answers

9514 1404 393

Answer:

  5/8

Step-by-step explanation:

Since the ratio is common, it can be found from the ratio of any pair of adjacent terms.

  r = 480/768 = (5·96)/(8·96) = 5/8

The common ratio is 5/8.

Can you figure out what the area of this shape is?

Answers

Answer:

22 units

Step-by-step explanation:

split it into 3 sections, there are two sections of 2x3 and one of 1x10, together they make 22 units

ABCD is a quadrilateral such that the measures of three of its interior angles are given as B=122 degrees, C= 75 degrees, D= 51 degrees, find m=A

please help me with explanation ​

Answers

Answer:

angle A is 112 degree.

Step-by-step explanation:

quadilateral have 4 angles .

sum of the interior angles of a quadilateral is 360 degree

Here,

angle A = be x

angle B = 122

angle C = 75

angle D = 51

Now,

angle A + angle B + angle C + angle D =360 degree

x + 122 + 75 + 51 = 360

x + 248 = 360

x = 360 - 248

x = 112

WILL GIVE BRAINLIEST
4
3
2x + 4
x+7

Answers

Answer:

x = 8

Step-by-step explanation:

[tex]\frac{x+7}{3} =\frac{2x+4}{4}[/tex]

do cross multiplication

[tex]3(2x+4) = 4(x+7)\\6x + 12 = 4x + 28\\6x - 4x = 12 - 16\\2x = 16\\x = 16/2\\x = 8[/tex]

whatcha of the following is the quotient of

Answers

Answer:

(2y+3)

Step-by-step explanation:

how do i solve this problem

Answers

Answer:

Exponential function have a horizontal asymotote. The equation of the horizontal asymptote is y=0.Step-by-step explanation:

3.
Use the concept of a series to sum up 0.315+0.000315+0.000000315+.... Give your final answer
in reduced fraction form. Note: There are several methods to prove this fact. I am specifically asking
you to use a series.

Answers

Dividing each term in the given series by 0.315 reveals a simple geometric sum,

0.315 (1 + 1/1,000 + 1/1,000,000 + …)

or

0.315 (1 + 1/10³ + 1/10⁶ + …)

or

[tex]\displaystyle 0.315 \sum_{n=0}^\infty \frac1{10^{3n}} = 0.315 \sum_{n=0}^\infty \frac1{1000^n}[/tex]

i.e. a geometric sum with a common ratio of 1/1,000. I'm not sure what your instructor expects exactly, but you may already know that

[tex]\displaystyle a\sum_{n=0}^\infty r^n = \frac a{1-r}[/tex]

if |r | < 1. This is the case here, so

0.315 (1 + 1/1,000 + 1/1,000,000 + …) = 0.315 / (1 - 1/1,000)

… = (315/1000) / (999/1000)

… = 315/999

… = 35/111

Actividad N°2: Marque la alternativa correcta en la siguiente pregunta.
Sea una función tal que () = 7 − 3 cuyo dominio es el conjunto () =
{−1, 0, 1, 2, 3}, entonces el () es:
5 PUNTOS
A) () = {−2, 1, 4, 7, 10}
B) () = {−1, 0, 1, 2, 3}
C) () = {4, 7, 10, 13, 16}
D) () = {1, 2, 3, 4, 5}
E) () = {−16, −13, −10, −7, −4}

Answers

Answer:

Hola busco amigos

Perdí mi otra cuenta

Ayúdame y te ayudo con tus tareas

¿ si?

Step-by-step explanation:

Which pair of expressions below are equivalent?

a. 7(2n) and 9
b. 3n + 5n and 15n
c. 4(2n-6) and 8n - 24
d. 7(2n) and 72n​

Answers

Answer:

The answer is C

Hope this helped!

NO LINKS NO FILES. Write the next two integers: -48, -24, -12, _, _

Answers

Answer:

-6,-3

hope this helps

have a good day :)

Step-by-step explanation:

How many-foot pieces of wood
can you cut from a board that is
6 feet long?

Answers

Answer:

6

Step-by-step explanation:

Foot long = 1 foot

6 / 1 = 6 foot pieces

You could get 6 pieces of wood

If the entire board is 6 feet long and you wanted to cut it into 1 foot intervals, you would do 6/1 and get 6

A coin is flipped 8 times. Find the probability of the event:

exactly 6 heads

Answers

Answer:

P(E)=56256=732.  Step-by-step explanation:

Thus, the probability of getting exactly 3 heads when a coin is flipped 8 times in a row

-2 (x + 3z) + 4x - 3y + 2z​

Answers

Answer:

-2 (x + 3z) + 4x - 3y + 2z​

-2x-6x+4x-3y+2z

2x-4z-3y

hope it helps...

have a nice day!

Answer:

please answer is then you thanks me

Step-by-step explanation:

-2(x + 3z) + 4x - 3y +2z

-2x -6z + 4x - 3y + 2z

=2x - 4z - 3y

pls help me out in this assignment PLSSSSS anyone plss​

Answers

Answer:

what number?

number three or number two

Which one do you need help with???

170 lbs to kg round to nearest tenth​

Answers

Answer:

77.1 kg

Explanation:

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