If the sixth term in a geometric sequence is 1/625
and the common ratio is 1/5 find the explicit formula of the sequence

Answer: D. -4

Step-by-step explanation:

-8 + -6 + -2 + 0 + -6 + -8 + 4 + -7 + -8 + 1= - 40

-40 divided by 10= -4

(You're dividing by 10 because there are 10 numbers that you added up)

The mean is -4.

Answer:

numbers like 9.58596638927, pi, square root of 2, or square root of 11

The 10th term of the geometric sequence is -1/6.

Let the following be a geometric sequence:

    a(1), a(2), a(3), a(4), a(5), ....

Then we have:

a(2) = a(1) . r

a(3) = a(2) . r

Continue the process, we have

a(n) = a(n-1) . r

Where:

a(n) = nth term

a(n-1) = (n-1)th term

r = ratio

In the given problem, a(9) = -1/3, r = 1/2

Plug these into the above formula:

a(10) = a(9) . r

        = (-1/3) . 1/2 = -1/6

Learn more about geometric sequence:

https://brainly.com/question/1509142

#SPJ4

The arithmetic mean a n of the given terms a n₋₁ = r, a n₊₁=s is

[tex]a_{n}[/tex] = [tex](a_{n+1} - a_{n-1})/2[/tex].

a n₋₁ = r, a n₊₁=s is

[tex]a_{n}[/tex] = [tex](a_{n+1} - a_{n-1})/2[/tex]

The arithmetic mean is the most straightforward and widely used method of calculating a mean or average. It only requires adding up a group of figures, then dividing the result by the entire amount of figures in the series. Consider the numbers 34, 44, 56, and 78 as an example. It totals 212.

The mean or arithmetic average are other names for the arithmetic mean. It is determined by adding up each number in a particular data set, then dividing the result by the overall number of items in the data set. For uniformly distributed integers, the middle number serves as the arithmetic mean (AM).

To learn more about arithmetic mean from the given link:

brainly.com/question/13000783

#SPJ4

Answer:

You will  need 12.5 gallons of the 22% salt solution and 7.5 gallons of the 38% of the salt solution

Step-by-step explanation:

.22x + .38(20 -x) = .28(20)  I want to clear the decimal, so I will multiple through by 100

100[.22x + .38(20-x)] = [.28(20)]100

22x + 38(20-x) = 28(20)  Distribute the 38

22x + 760 -38x = 560 combine the x's

-16x + 720 = 560 Subtract 720 from both sides

-16x = -200  Divide both sides by -16

x = 12.5

20 - 12.5 = 7.5

Answer:

2421 or 21

Step-by-step explanation:

Hello!

Consecutive odd integers are set of odd integers that come right after each other.

Let "C" be Caroline's age. Caroline's next older sibling would be C + 2, as odd integers come to every two numbers, and the next would be C + 4, and finally C + 6.

If we add up all the expressions, we should get 9696.

The solution to this question does not seem reasonable. I assume that the correct sum of the age should be 96, given 9696.

If this is the case, then Caroline's age would be 21, using the same general logic.

By elimination, the solution of the system of equations, 4x + 2y = 4 and 6x + 2y = 8, is (2 , -2).

A system of equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy all the equations.

There are three methods that can be used to solve system of equations.

1. Elimination

2. Substitution

3. Graphing

Using the elimination method, given two equations in x and y, a variable should be eliminated by adding/subtracting the two equations.

Subtracting the two equations will eliminate the variable y.

6x + 2y = 8     (equation 2)

4x + 2y = 4     (equation 1)

2x + 0y = 4

x = 2

Substitute the value of x to any of the two equations and solve for y.

6x + 2y = 8     (equation 2)

6(2) +2y = 8

2y = 8 - 12

2y = -4

y = -2

Hence, the solution of the system of equations is (2 , -2).

Learn more about solving systems of equations by elimination here: https://brainly.com/question/28405823

#SPJ4

The equation of line is y = (-2/3)x + 5

Given the points:

(x₁, y₁) = (0, 5)

(x₂, y₂) = ( 3, 3)

The slope-intercept form:

y = mx + b

Where, m is the slope and b is the y-intercept, that is (0, b)

The formula for slope:

m = (y₂ – y₁) / (x₂ – x₁)

We have given

x₁ = 0

x₂ = 3

y₁ = 5

y₂ =3

So,

m = (3 – 5) / (3 – 0) = -2/3

here, we have b = 5

Therefore we have the equation of the line as:

y = mx + b

That is the equation of line is y = (-2/3)x + 5

Learn more about slope-intercept form here: https://brainly.com/question/12014894

#SPJ4

Using integer numbers, the values of the positions in this problem are given as follows:

1. 0.

2. 5.

3. -3.5.

Integer number are numbers that can have either positive or negative signal, but are whole numbers, meaning that they have no decimal part.

In the context of each problem, integer numbers may have different representations, and for this problem, we have that:

Hence:

Hence the values of the positions in this problem are given as follows:

1. 0.

2. 5.

3. -3.5.

More can be learned about integer numbers at https://brainly.com/question/17695139

#SPJ1

The answer to the given problem is 5

Probability is the degree to which an occurrence is likely to take place, as determined by the proportion of favorable examples to the total number of instances for which it is probable to have occurred.

Let's assume

1 - P(no one has the same sign) >= 0.5

P(two or more people have the same sign) = 1 - P(no one has the same sign)

= 1 - (12 / (12-n)) / 12^n

1-0.5=0.5 >= P (no one has the same sign) = 12/(12^n x (12-n))

0.5 >= 12 /(12^n x (12-n))

Solve for n.

n = 5

Hence the answer is 5

Learn more about probability-https://brainly.com/question/25870256

The solution for variable k according to the equation given in the task content is; 2.5.

It follows from the task content that the value of variable k is to determined.

Given;

2.5 ( 4 k + 2 ) = 12 k

To find: k.

Solving the parentheses; we have;

10k +5 = 12k

Collect like terms;

5 = 2k

k = 5/2

k = 2.5.

Ultimately, the value of k according to the given task is; 2.5.

Read more on one-variable equation;

https://brainly.com/question/1640242

#SPJ1

Answer:

the wheel cylinders

Step-by-step explanation:

brainliest?

Answer:

the answer is c, the wheel cylinders

The numeric values of the function f(x) = 5x - 7 are given as follows:

a) f(-2) = -17.

b) f(1/2) = -9/2.

To find the numeric value of a function, we replace each instance of the variable by the desired value.

For this problem, the function is not 100% visible from the picture, but we are going to suppose it is given by:

f(x) = 5x - 7.

At x = -2, the numeric value is:

f(-2) = 5(-2) - 7 = -10 - 7 = -17.

At x = 1/2, the numeric value is:

f(1/2) = 5(1/2) - 7 = 5/2 - 14/2 = -9/2.

More can be learned about the numeric values of a function at brainly.com/question/28367050

#SPJ1

As women's coat comes in sizes 4,6,8 , or 10 in black, brown, ivory, and cinnamon , possibility of selection of different coats is equal to 16.

As given in the question,

Availability of size number in women's coat = 4, 6, 8, or 10

⇒N(S) =4

Availability of color in women's coat = black, brown, ivory, and cinnamon

⇒ N(C) =4

Possibility of selection of different women's coats = N(S) × N (C)

                                                                              =4 × 4

                                                                              =16

Therefore, the possibility of selection of different coats is equal to 16  as per the availability of women's coat sizes and colors.

Learn more about selection here

brainly.com/question/20695553

#SPJ4

Answer:

Step-by-step explanation:

Lets look at the expressions with respect to the competition parameters: Expressions:You Y =3m+13Friend(F)=4m+6 1.  The competition begins AFTER you and friend already caught some flies.  This would be represented by the CONSTANT terms in each expression (in this case, 13 for you, 6 for friend). So the number of flies caught BEFORE THE COMPETITION would be   13+6=19 flies total  2.  The competition length was "m" minutes long when flies are caught and counted.  This would be represented by the VARIABLE terms in each expression (in this case, 3m for you, 4m for friend).  We are not given a numeric value for the variable "m" to evaluate. So the number of flies caught DURING THE COMPETITION (timed "m" minutes long) would be 3m+4m=7m flies total ...and the number of flies per minute would be calculated as 7m÷m=7 flies per min....total #flies divided by total minutes 3.  If the problem asked for the total number of flies caught by you and friend, before and after the competition 7m+19 flies total add like terms in each expression.

Answer:

M = 3

3 x 3 + 13 = 22

4 x 3 + 6 = 18

"You" Has more.

^^ hope this helps.

Have a wonderful day!

We create a number line with a range from 0 to 1.0 and divide it into 5 equal segments to demonstrate the equality between 0.200 and 1/5.

The visual representation of numbers on a straight line, either horizontally or vertically, is known as a number line. When numbers are written down on a number line, it is straightforward for humans to compare them and perform basic arithmetic operations on them. One might assume that a number line starts at zero (0). There are only negative numbers to the left of zero and only positive numbers to the right of zero. In other words, as we move to the right on a number line, the value of the numbers increases. This shows that the numbers on the right are more numerous than those on the left.

To know more about the number line, visit:

https://brainly.com/question/13189025

#SPJ9

E = 2S is the equation that links the base's S number of sides to its F number of faces.

E = 2S

S is the number of sides on a base.

E equals the number of edges.

Triangle (1)

3 and S are the base side counts.

edges equal 6, hence the answer is E.

E = 2S

Table 2

Base has four sides, hence the response is S.

edge count = E (8 edges)

E = 2E

3rd Pentagon

S is equal to the five sides of the base.

The letter E is equivalent to 10 edges.

S = 2E

4) A hexagon

S is equal to the six sides of the base.

Edge count: 12 equals E.

E = 2S

Thus, it is shown that E = 2S.

The 30 sides of the pyramid foundation.

The answer is S since the base has 20 sides.

The number of edges is E = 2S = 20 x 2 = 40 edges.

To learn more about pyramids from given link

https://brainly.com/question/1869460

#SPJ9

The equation for this line in standard form is 2x + y = 10.

These are two methods for finding the equation of a line given a point and slope. Create the equation y = mx + b using the m given in the problem and the b you just solved. Point-slope form = y-y1 = m (x-x1), where (x1, y1) is the specified point and m is the specified slope. "x" and "y" remain as variables.

The slope is m=(-A / B).

A line with a slope of (-2) has the following equation:

2x+y=C Finding the constant C requires a point. Use (2,6)

2(2) +6 = C

10 = C

The equation for a straight line in standard form is 2x + y = 10

More problems related to writing the equation of a line are given below.

https://brainly.com/question/21511618?referrer=searchResults

#SPJ4

The daily rate of decay is approximately equal to 0.0347 days⁻¹.

According to the statement, we find that a substance is under a decay process, whose differential equation is introduced below:

dm(t) / dt = - k · m(t)       (1)

Where:

The half-life of the substance is the time needed for a substance to decrease its mass by half. The rate of decay can be found in terms of half-life:

k = (㏑ 2) / t'                   (2)

Then, the daily rate of decay of the substance is:

k = (㏑ 2) / (20 days)

k ≈ 0.0347 day⁻¹

To learn more on decay processes: https://brainly.com/question/5391767

#SPJ1

We can conclude that ΔADE ≅ ΔACB under AA condition.

So,

To prove that: ΔADE ≅ ΔACB

Therefore, ΔADE ≅ ΔACB under AA condition.

Know more about the congruency of a triangle here:

brainly.com/question/2938476

#SPJ4

7-(-4) is 4 units from 7 in the negative direction.

The number line keeps going both ways. You can include 6, 7, and so on, all the way up to the hundreds, thousands, and beyond, because the set of natural numbers only extends to the right.

A number line is a diagram that shows numerical values along a straight line that can be drawn either horizontally or vertically. It's simple for us to compare and compute basic arithmetic operations on numbers when they are written down on a number line. A number line's origin is typically thought to be zero (zero). There are only positive numbers to the right of zero and only negative numbers to the left of zero.

therefore,

7 - (-4)

= 7 + 4

= 11

when we simplify the expression we get the answer as 11 units

the result is that 11 units is 4 units away from 7 in a negative direction.

Hence we get the complete sentence.

Learn more about Number line here:

brainly.com/question/24644930

#SPJ9

If larry has 4 packages of cards the first box has 17 cards the second one has 21 the third one has 22 the fourth one has 16 using front end estimation the best estimation for the total number of baseball cards she has is: 80 cards.

Number of cards in each of the boxes

First box =17 cards

Second one box=21 cards

Third one box =22 cards

Fourth one  box=16 cards

Now let find the best  best estimation for the total number of baseball cards:

Total number of baseball cards=17+21+22+16

Total number of baseball cards=20+20+20+20 (rounded to the nearest tens)

Total number of baseball cards=80 cards

Therefore If larry has 4 packages of cards the first box has 17 cards the second one has 21 the third one has 22 the fourth one has 16 using front end estimation the best estimation for the total number of baseball cards she has is: 80 cards.

Learn more about Estimation for the total number here:https://brainly.com/question/598285

#SPJ1

The given list is a finite series.

There are two parts to our question.

In the first part of the question, we are asked whether the given list of numbers is a sequence or a series.

To answer this part, we should be familiar with what the concept of sequence and series.

A sequence is a plain list of numbers.

A series is a sum of numbers in the list.

The given list looks something like this,

5+10+ . . . . . . +25

So, considering the given definitions of both sequence and series we can clearly tell it is a series.

Now up to the second part of the question, is the given series finite or infinite?

We know this is finite because it has a start of 5 and an end of 25. There's an ellipsis in the middle, but it has a beginning and an end, so this will be the right answer.

Learn more about series here:

brainly.com/question/28081248

#SPJ4

Answer:

2√3 х^2 this solution

Step-by-step explanation:

I checked everything is correct

It should be noted that the median remains the same because removing an extreme value from a data set will not have much effect on the median.

Statistical data based on the minimum, first quartile, median, third quartile, and maximum are shown graphically in a box plot. The box plot represents the number of kids in 30 distinct households in accordance with the families, and the value of 12 is subtracted for inaccuracy.

Therefore, if there are two kids in the median for both plots when 12 was eliminated from the data set, it remained unchanged.

In conclusion, the median remains the same because removing an extreme value from a data set will not have much effect on the median.

Learn more about box plot on:

https://brainly.com/question/17618828

#SPJ1

Answer:

A

Step-by-step explanation:

40 x 12 = 480

Two expression with equal sign in between is equation. If Mayumi rides her bike around a park . each lap around the park is two/ three . Mayumi rides of total of three. Then  4 1/2 laps around the park mayumi ride.

Two expression with equal sign in between is called as Equation.

Mayumi rides her bike around a park . each lap around the park is two/ three . mayumi rides of total of three.  The number of laps around the park mayumi ride be x.

We convert this given data as a expression as given

2x/3=3

Apply cross multiplication.

2x=9

x=9/2,

We need to write answer as a whole number of laps plus a fraction of a lap.

x=4 1/2

Therefore 4 1/2 laps around the park mayumi ride.

To learn more on Equation click:https://brainly.com/question/21105092

#SPJ1

Answer: Mayumi Rides 4 whole laps, plus 1/2 of a lap.

Step-by-step explanation: