Given the following sequence, how many circles will be in the 6th term?

The function end behavior of ln(x + 1 ) is \(\quad \mathrm{as}\:x\to \:+\infty \:,\:f\left(x\right)\to \:+\infty \:\)

From the question, we have the following parameters that can be used in our computation:

f(x) = ln(x + 1)

The end behavior of a function f(x) describes the behavior of the function as x approaches \(+\infty\) and as :x approaches \(-\infty\)

Calculate f(∝) and f(-∝)

So, we have

f(∝) = ln(∝ + 1) = +∝

f(-∝) = ln(-∝ + 1) = +∝

Using the above as a guide, we have the following:

The function end behavior of ln(x + 1 ) is \(\quad \mathrm{as}\:x\to \:+\infty \:,\:f\left(x\right)\to \:+\infty \:\)

Read more about end behavior at

https://brainly.com/question/1365136

#SPJ1

Answer:

-16.7

Step-by-step explanation:

(2°F − 32) × 5/9 = -16.7°C

Answer:

The amount of money in the account at the end of 5 years is $9,841.63.

Step-by-step explanation:

The compound interest formula is A = P(1 + r/n)^(nt) where A is the final amount, P is the principal (initial deposit), r is the annual interest rate (expressed as a decimal), n is the number of times interest is compounded per year, and t is the number of years.

In this case, P = 8000, r = 0.04, n = 4 (because interest is compounded quarterly), and t = 5 (because we are trying to find the balance after 5 years).

So the formula becomes:

A = 8000(1 + 0.04/4)^(4*5)

By plugging the number into the formula we can find the final amount after 5 years

A = $9,841.63

The amount of money in the account at the end of 5 years is $10,404.69, and the interest earned is $2404.69.

To calculate the amount of money in the account at the end of 5 years, we need to use the compound interest formula: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

To calculate the amount of interest earned, we subtract the initial deposit from the final amount: interest = A - P.

https://brainly.com/question/14295570

#SPJ2

Answer:

Where though?

Step-by-step explanation:

Answer:

You gotta show question

Answer:

Critical value zc=-2.326

Step-by-step explanation:

We have a left tailed test regarding a population proportion.

The significance level is α=0.01.

That means that the critical value zc satisfies the equation:

\(P(z<z_c)=0.01\)

This critical value needs to be looked up in a standard normal distribution probability table (or an applet or software).

The value for this critical value is zc=-2.326.

A picture of the stantdard normal distribution and the critical value is attached.

From the first line to the second we the order of the terms (9+4x) inverted. This doesn't affect the results, because of the Commutative Property of Addition. Then from the second line to the third we have the order of the two terms in the product inverted, this does not change the result because of the Commutative Property of Multiplication.

9514 1404 393

Answer:

  x = 2/3

Step-by-step explanation:

The approach usually recommended for almost any problem involving fractions is to "clear fractions" first. Here, that means multiplying both sides of the equation by 2x (the least common denominator). After that, divide both sides by the coefficient of x.

  \(\dfrac{2}{x}=\dfrac{6}{2}\qquad\text{given}\\\\\dfrac{(2x)(2)}{x}=\dfrac{(2x)(6)}{2}\qquad\text{multiply by $2x$}\\\\4=6x\qquad\text{simplify}\\\\\dfrac{4}{6}=x\qquad\text{divide by 6}\\\\\boxed{x=\dfrac{2}{3}}\qquad\text{reduce the fraction}\)

__

After you have done this a few times, you recognize that the process involves multiplying the original equation by 2x/6 = x/3. This is x times the reciprocal of the constant term on the right. You can "cut to the chase" and do multiplication of both sides by x/3 as your first step:

  \(\dfrac{2}{x}\cdot\dfrac{x}{3}=\dfrac{6}{2}\cdot\dfrac{x}{3}\qquad\text{multiply the given equation by $\dfrac{x}{3}$}\\\\\dfrac{2}{3}=x\qquad\text{simplify}\)

The value of the expression \(\frac{1}{9x^{(3 + 1)}}\) is \(\frac{1}{9x^{4}}\)

Some common rules of exponents are

xᵃ×xᵇ = xᵃ⁺ᵇ.

xᵃ/xᵇ = xᵃ⁻ᵇ.

Addition and subtraction of exponents is only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.

Given, An expression, \(\frac{1}{9x^{(3 + 1)}}\).

Therefore,  \(\frac{1}{9x^{(3 + 1)}} = \frac{1}{9x^{4}}\).

We also know about radicals,

We know there are two types of radicals one is surds when the number has been raised by such power that it is greater than zero and less than one,

The other type of radicals are indices where a number is raised to such power that is greater than one.

Q. Find the addition of cubes 1/9x^3+1.

learn more about exponents here :

https://brainly.com/question/15993626

#SPJ9

Answer:

595.

Step-by-step explanation:

Take $2000 and subtract $810 from it. You now have the total of the two pieces of equipment without the extra pricing. You should get $1,190. Then divide that number by 2. You will get $595.

1st Piece of Equipment = $595

2nd Piece of Equipment = $1,405

2nd Piece is $810 more expensive and the two pieces combined is $2,000.

Answer:

17.8

Step-by-step explanation:

Distance Formula: \(d=\sqrt{(x2-x1)^2+(y2-y1)^2}\)

then plug it in

\(d=\sqrt{(10+4)^2+(-3-8)^2}\)

then solve inside the parentheses

\(d=\sqrt{(14)^2+(-11)^2}\)

then simplify

\(d=\sqrt{196+121}\)

keep simplifying

\(d= \sqrt{317}\)

solve the square root

\(d=17.80449381\)

round

\(d=17.8\)

Answer:

y = 1/-20 (x-2) - 5

Step-by-step explanation:

Focus = (a,b) = (2,-4)

So a = 2, b = -4

Directrix: y = -6

But y = k

So k = -6

Finding Standard Form of Equation for parabola

y = (1/2(b-k))(x-a)²+(1/2)(b+k)

y = (1/2(-4-6))(x-2)+(1/2)(-4-6)

y = (1/2(-10))(x-2)+(1/2)(-10)

y = (1/-20)(x-2)+(-5)

y = 1/-20 (x-2) - 5

Answer:

12cm

17.5cm

8cm

Step-by-step explanation:

the triangles area is its base x height x half

Answer:

(2,7)

Step-by-step explanation:

Answer: 4/6 = 2/32/3 = 2/3

Step-by-step explanation: hope this help

Note that as x gets larger, y gets smaller, but the product xy remains constant at 192.

In mathematics, a function is a relationship between two sets, called the domain and the range, such that each element of the domain corresponds to exactly one element of the range. A function takes an input value (or values) and produces an output value (or values) according to a specific rule or formula. The input values are the domain of the function, and the output values are the range of the function. Functions can be represented using equations, graphs, tables, or verbal descriptions. They are used to model relationships between variables in various fields of mathematics, science, engineering, economics, and many other areas.

Here,

If x and y vary inversely, this means that their product is a constant. We can use this fact to find the constant of proportionality k as follows:

k = xy

If we know that y is 24 when x is 8, we can substitute these values into the equation above to solve for k:

k = xy

= 8(24)

= 192

Now we can use this value of k to write the inverse variation function:

xy = 192

or

y = 192/x

To sketch a graph of this function for x > 0, we can plot a few points and connect them with a smooth curve. Here are some points we can use:

(x, y)

(1, 192)

(2, 96)

(4, 48)

(8, 24)

(16, 12)

(24, 8)

To know more about function,

https://brainly.com/question/28193995

#SPJ1

The equation that represents a quadratic relationship is y = 4x^2. Option A.

A quadratic relationship is a mathematical relationship where the variable y is a function of the variable x raised to the power of 2. In other words, it is an equation in which the highest power of the variable is 2.

Let's analyze the given equations:

1. y = 4x^2: This equation represents a quadratic relationship because the variable x is raised to the power of 2. The term 4x^2 indicates that the relationship between x and y is quadratic.

2. y = 4x^4: This equation represents a quartic relationship, not a quadratic relationship. The variable x is raised to the power of 4, which indicates a higher degree relationship than quadratic.

3. y = 4x^3: This equation represents a cubic relationship, not a quadratic relationship. The variable x is raised to the power of 3, indicating a higher degree relationship.

4. y = 4: This equation represents a linear relationship, not a quadratic relationship. It is a constant equation where y is always equal to 4, regardless of the value of x. In a quadratic relationship, the variable x should have a power of 2. Option A.

For more such questions on quadratic

https://brainly.com/question/30164833

#SPJ8

Answer:

C)

Step-by-step explanation:

Just see the length of the R line, A and B are almost the same large when you add them.

The mean square within treatments (MSE) is 5 when in  a completely randomized experimental design involving six treatments, 11 observations were recorded for each of the six treatments.

Mean is a measure of central tendency which represents the average value of a set of numbers. It is calculated by adding up all the values in the set and then dividing the sum by the total number of values in the set.

Here,

To find the mean square within treatments (MSE), we need to use the formula:

MSE = SSE / df

where SSE is the sum of squares within treatments and df is the degrees of freedom within treatments.

Since we are given SSTR and SST, we can find SSE using the formula:

SSE = SST - SSTR

Substituting the given values, we get:

SSE = 700 - 400 = 300

The total number of observations is:

n = 6 treatments × 11 observations/treatment = 66 observations

The degrees of freedom within treatments is:

df = n - number of treatments = 66 - 6 = 60

Therefore, the mean square within treatments is:

MSE = SSE / df

= 300 / 60

= 5

To know more about mean,

https://brainly.com/question/3116920

#SPJ1

The probability that the participant either is a teen or prefers country music is given as follows:

P(C or T) = 0.55.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The desired outcomes for this problem are given as follows:

There were 520 people in the research, hence the probability that the participant either is a teen or prefers country music is given as follows:

P(C or T) = (170 + 114)/520

P(C or T) = 0.55.

More can be learned about probability at https://brainly.com/question/24756209

#SPJ1

Answer:

  a.  gradient: 2/7

  b.  y -5 = 2/7(x +3)

Step-by-step explanation:

The gradient of the line is found from the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (7 -5)/(4 -(-3)) = 2/7 . . . gradient of line AB

__

The equation of the line can be written in point-slope form as ...

  y -k = m(x -h) . . . . . . line with gradient m through point (h, k)

Using point 'a' and the above gradient in the equation, the line is described by ...

  y -5 = 2/7(x +3) . . . equation of AB

_____

Additional comment

The equation of the line can be written in several other forms. Eliminating parentheses and adding 5, we get slope-intercept form:

  y = 2/7x +5 6/7

This can be rearranged to standard form

  2x -7y = -41

Dividing by -41 puts the equation in intercept form:

  x/(-41/2) +y/(41/7) = 1

Then your values of m and n are seen to be -41/2 and 41/7, respectively. These are highlighted on the attached graph.

9514 1404 393

Answer:

C.  (1, 1), (2, 0), and (-1, -3)

Step-by-step explanation:

I find it works well to solve this graphically. That seems easier than solving 3 sets of simultaneous equations.

The points of intersection of the three lines are ...

  (1, 1), (2, 0), and (-1, -3) . . . . matches C

Answer:

C.  (1, 1), (2, 0), and (-1, -3)

Step-by-step explanation:

When teaching an 8th grade lesson on problem solving, Sylvia begins by utilizing a short video clip. Sylvia uses this video clip as a discrepant event because students attached with science it would look like magic for them.

A discrepant occurrence is an unexpected, counterintuitive result that differs from what an observer would typically anticipate. Oobleck is a classic illustration of a discrepant event.

Most kids (who have never seen it before) wouldn't anticipate that it would have both solid and liquid qualities. They didn't anticipate it to spread out right away once the "ball" was placed on the table instead of rolling into a ball and taking shape.

The main factor is that pupils will develop an obsession with science. They will see this as "magic," and they will be very interested in learning how it worked. After that, they'll be prepared to "amaze" their friends with both the "trick" and their subsequently displayed "smarts."

To learn more about a discrepant event link is here

brainly.com/question/13651668

#SPJ4

Answer:

C. two-thirds raised to the fourteenth

Step-by-step explanation:

Answer:

the amount added to the cost price of goods to cover overhead and profit.

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Meaning in my own words: The amount applied to the depreciation and production factor price of the product.

Example: Sells for $126 costs $100. Price is increase.

Synonyms for markup: increase, Profit

Hope this helps.

There would be

(1,602,000/100,000)*15 =240

coffe stops

Answer:

-3.5

Step-by-step explanation:

An example is -3.5.

The translation of the statement is: Half the sum of the age of Francis and Yancy equals Francis' age less 5 multiplied by Bella's age

The equation is given as:

1/2(f + y) = f - 5b

Before translating the equation, we make use of the following representations:

Using the above representations, we can translate the statement as:

Half the sum of the age of Francis and Yancy equals Francis' age less 5 multiplied by Bella's age

Read more about algebraic expressions at:

https://brainly.com/question/4344214

#SPJ1

Intersection of B'∩C = {k, y}

To find the intersection of B' and C, we need to first find the complement of set B (B') and then find the intersection between B' and C.

1. Complement of set B (B'):

The complement of set B (B') consists of all elements in the universal set U that are not in set B. From the given information, set B is defined as {k, s, y}', which means it contains all elements in U except for k, s, and y. Therefore, the complement of set B is {f, m, x, z}.

2. Intersection between B' and C:

Now, we need to find the intersection between B' (complement of B) and set C. From the given information, set C is defined as {s, z}. To find the intersection, we need to identify the common elements between B' and C.

The elements present in both B' and C are k and y. Therefore, the intersection of B' and C is {k, y}.

So, the answer to (b) is B'∩C = {k, y}.

For more such questions on Intersection, click on:

https://brainly.com/question/30915785

#SPJ8

Answer:

54.6 square yards

Step-by-step explanation:

For any regular polygon, the area of the polygon is given by:

\(A_{regular~polygon}=\frac{1}{2}nsa\), where

Heptagons are 7-sided polygons, so n=7.

The length of a side and the apothem are given, so substitute and calculate:

\(A_{heptagon}=\frac{1}{2}(7)sa\)

\(A_{heptagon}=\frac{1}{2}(7)(3.9~yd)(4.0~yd)\)

\(A_{heptagon}=54.6 ~yd^2\)