suppose that [infinity] cn x n n = 0 converges when x = −4 and diverges when x = 6. what can be said about the convergence or divergence of the following series?

Answer:

(20 - 13.75) / 5 = ?

$1.25 per bag of chips

Step-by-step explanation:

$20.00 - $13.75 = 6.25 was spent on chips total

$6.25 / 5 people = $1.25 per person (or per bag of chips)

(20 - 13.75) / 5 = ?

Answer:

D

Step-by-step explanation:

it goes open to closed circle, and ap3x

The graph matches the graph in option (D), hence, option (D) is the correct answer.

The definition of a step function is a piecewise constant function with a finite number of parts.

The given function is \(f(x)=\begin{cases}{1\text{ if }-1 < x\leq0\\2\text{ if }0 < x\leq1\\3\text{ if }1 < x\leq2}\end{cases}\).

Note that from -1 to 0 the value of f(x) is 1, therefore, its graph will be a horizontal line passing through y = f(x) = 1 from -1 to 0.

Similarly, the graphs of f(x) =2 from o to 1 and f(x) = 3 from 1 to 2 will look like this.

The graph of the function is shown.

The graph matches the graph in option (D), hence, option (D) is the correct answer.

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Answer:

yes I will help you but in what can I help you I need the problem

Histogram of monthly payments for apartments in a particular neighborhood is flat and has no peaks, we can infer that the characteristic of Olivia's graph is that the data in the histogram is distributed uniformly. option A

Option a.) The data in the histogram is distributed uniformly: This option aligns with the description of a flat histogram with no peaks. In a uniform distribution, the data is evenly spread across the range of values, resulting in a flat histogram with no prominent peaks or clusters.

Option b.) Olivia's graph is positively skewed: This option suggests that the histogram would have a longer tail on the right side, indicating a concentration of data towards the lower end of the payment range. However, the given information states that the histogram is flat and lacks peaks, which is contrary to a positively skewed distribution.

Option c.) The histogram features multimodal distribution: A multimodal distribution implies the presence of multiple peaks in the histogram, indicating different modes or clusters within the data. However, the given information explicitly states that the histogram is flat and lacks peaks, making a multimodal distribution unlikely.

Option d.) Olivia's graph is negatively skewed: This option suggests that the histogram would have a longer tail on the left side, indicating a concentration of data towards the higher end of the payment range. However, the given information states that the histogram is flat and lacks peaks, which is contrary to a negatively skewed distribution.

In conclusion, the most appropriate characteristic of Olivia's graph based on the given information is that the data in the histogram is distributed uniformly (option a).

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Yes, the cost y in dollars and the amount of yogurt x are proportional the equation is y = 0.08x.

Given:

At the local dairy farm, kareem buys a 32-oz container of yogurt for $2. 56. Jonah buys a 6-oz container of yogurt for $0. 48.

y varies directly as x :

y = kx

k = constant of proportionality

y = 2.56 and x = 32

y = kx

k = y/x

= 2.56/32

k = 0.08

substitute k we get

y = 0.08x.

so x and y are directly proportional.

Therefore Yes, the cost y in dollars and the amount of yogurt x are proportional the equation is y = 0.08x.

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Answer: 13/25

Step-by-step explanation: it is equal to 52% which is greater than 50%

50% is greater than 13/25. To compare these two values, you can convert both of them to a common denominator, such as 50%. 50% is equal to 1/2, so 13/25 is equal to 52/50, which is less than 1/2 or 50%. Alternatively, you can also express both fractions as decimals and compare the two values that way. 50% is equal to 0.5, and 13/25 is equal to 0.52, so 50% is still greater than 13/25.

Answer:

\(Volume = 1017.36\ in^3\) -- Cone

\(Volume = 3052.08\ in^3\) -- Cylinder

\(Volume = 3052.08\ in^3\) -- Sphere

Best Buy: Sphere Clay

Step-by-step explanation:

Given

Solid Shapes: Cone, Cylinder, Sphere

Cost of Cone Clay = $12

Cost of Cylinder Clay = $30

Cost of Sphere Clay = $28

Required

Determine the volume of each shape

Which is the best buy

The volume of a cone is calculated as thus;

\(Volume = \frac{1}{3}\pi r^2h\)

From the attached diagram

Radius, r = 9 inches; Height, h = 12 inches and \(\pi = 3.14\)

Substitute these values in the above formula;

\(Volume = \frac{1}{3} * 3.14 * 9^2 * 12\)

\(Volume = \frac{3052.08}{3}\)

\(Volume = 1017.36\ in^3\)

The unit cost of the cone is calculated as thus;

\(Volume:Price = \frac{Volume}{Total\ Cost}\)

Where

\(Volume = 1017.36\ in^3\)

\(Total\ Cost = \$12\) (Given)

\(Volume:Price = \frac{1017.36\ in^3}{\$ 12}\)

\(Volume:Price = 84.78 in^3/\$\)

\(Volume:Price = 84.78 in^3:\$1\)

The volume of a cylinder is calculated as thus;

\(Volume = \pi r^2h\)

From the attached diagram

Radius, r = 9 inches; Height, h = 12 inches and \(\pi = 3.14\)

Substitute these values in the above formula;

\(Volume = 3.14 * 9^2 * 12\)

\(Volume = 3052.08\ in^3\)

The unit cost of the cone is calculated as thus;

\(Volume:Price = \frac{Volume}{Total\ Cost}\)

Where

\(Volume = 3052.08\ in^3\)

\(Total\ Cost = \$30\) (Given)

\(Volume:Price = \frac{3052.08\ in^3}{\$ 30}\)

\(Volume:Price = 101.736\ in^3/\$\)

\(Volume:Price = 101.736\ in^3:\$1\)

The volume of a sphereis calculated as thus;

\(Volume = \frac{4}{3}\pi r^3\)

From the attached diagram

Radius, r = 9 inches; and \(\pi = 3.14\)

Substitute these values in the above formula;

\(Volume = \frac{4}{3} * 3.14 * 9^3\)

\(Volume = \frac{9156.24}{3}\)

\(Volume = 3052.08\ in^3\)

The unit cost of the cone is calculated as thus;

\(Volume:Price = \frac{Volume}{Total\ Cost}\)

Where

\(Volume = 3052.08\ in^3\)

\(Total\ Cost = \$28\) (Given)

\(Volume:Price = \frac{3052.08\ in^3}{\$ 28}\)

\(Volume:Price = 109.003\ in^3/\$\)

\(Volume:Price = 109.003\ in^3:\$1\)

Comparing the Volume:Price ratio of the three clay;

The best buy is the sphere because it has the highest volume:price ratio.

Having the highest volume:price ratio means that with $1, one can get more clay from the sphere compared to other types of clay

The solution to the given system of equations is x = 1 and y = -3.

To solve the system, we can use the method of elimination or substitution. Let's use the elimination method here.

We have the following system of equations:

-2x + y = -5 (Equation 1)

4x + y = -2 (Equation 2)

To eliminate the y variable, we can add Equation 1 and Equation 2 together:

(-2x + y) + (4x + y) = (-5) + (-2)

2x = -7

Dividing both sides of the equation by 2, we get:

x = -7/2 = 1

Substituting the value of x into Equation 1, we can solve for y:

-2(1) + y = -5

-2 + y = -5

y = -5 + 2

y = -3

Therefore, the solution to the system of equations is x = 1 and y = -3.

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Answer:

A -2

Step-by-step explanation:

the line meets up there and it would be rise divided by run and it would get you -2

Answer:

Step-by-step explanation:

You look at where the lines cross a point, which could be (-1,3) and (0,-2). By looking at the graph and using rise over run, your slope would be -5.

Answer:

Step-by-step explanation:

Find the volume of the sample container.

Given:

Volume formula:

Substitute to get:

Find the volume of the trace element, using the given proportion:

Since the probability of winning each game is independent and remains constant at 0.8, we can calculate the probability of winning all the conference games by multiplying the individual probabilities together.

The football team has four conference games against the other four teams. The probability of winning each game is 0.8. Therefore, the probability of winning all four games is:

0.8 * 0.8 * 0.8 * 0.8 = 0.4096So, the probability that the team wins all its conference games is 0.4096, or 40.96%.

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The target goal of Healthy People 2030 is to increase the percentage of people with medical insurance coverage, with a specific objective of achieving at least 90% coverage for individuals under the age of 65 years.

Healthy People 2030 is a national initiative in the United States that aims to improve the health and wellbeing of the population by setting evidence-based, measurable objectives and targets for health promotion and disease prevention. One of the key objectives of Healthy People 2030 is to increase the percentage of people with medical insurance coverage.

The target goal is to achieve at least 90% coverage for individuals under the age of 65 years, which is an increase from the 88.5% coverage rate reported in 2018.

Therefore, this objective highlights the importance of ensuring that more individuals have access to affordable and comprehensive health insurance coverage, which can promote better health outcomes, reduce health disparities, and lower healthcare costs in the long run

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Answer:

f(5) = 13

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = x² - 12

x = 5

Step 2: Evaluate

Answer:

13

Step-by-step explanation:

replace the x with 5.

5^2-12=

25-12=13

The mean weight loss of people on this drug, population mean, could be as low as 29 lbs  and if the study is repeated, the sample size should be at least 48 to achieve a margin of error less than 2 lbs.

(a) According to the information provided, the mean weight loss of people on this drug, population mean, could be as low as 29 lbs. This is calculated by subtracting the margin of error (±4 lbs) from the average weight loss (33 lbs): 33 - 4 = 29 lbs.

(b) To determine the required sample size for the study to be repeated with a margin of error less than 2 lbs, we can use the following formula for the margin of error (ME) with a known standard deviation (SD) and a confidence level (CL) of 95%:

ME = (1.96 * SD) / sqrt(n)

Here, ME = 2, SD = 7, and n is the sample size we need to find. Rearranging the formula to solve for n:

\(n = (1.96 * 7 / 2)^2\\n = (13.72 / 2)^2\\n = 6.86^2\)
n ≈ 47.1

Since we can't have a fraction of a sample, we round up to the nearest whole number. Therefore, if the study is repeated, the sample size should be at least 48 to achieve a margin of error less than 2 lbs.

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The graph that shοws the sοlutiοn tο the system οf linear equatiοns is the fοurth graph, which has οne line passing thrοugh the pοint (3, 1) and anοther line passing near it.

A linear equatiοn is an algebraic equatiοn in which each term is either a cοnstant οr the prοduct οf a cοnstant and a variable raised tο the first pοwer. It represents a straight line οn a graph.

The system οf linear equatiοns is:

y = (1/3)x

x + 3y = 6

We can sοlve this system by substitutiοn. Substituting the first equatiοn intο the secοnd equatiοn, we get:

x + 3(1/3)x = 6

x + x = 6

2x = 6

x = 3

Substituting x = 3 intο the first equatiοn, we get:

y = (1/3)(3)

y = 1

Therefοre, the sοlutiοn tο the system οf linear equatiοns is (3, 1).

Tο check, we can substitute x = 3 and y = 1 intο bοth equatiοns:

y = (1/3)x becοmes 1 = (1/3)(3) which is true

x + 3y = 6 becοmes 3 + 3(1) = 6 which is alsο true

Nοw, we need tο find which graph shοws the pοint (3, 1).

The first graph shοws twο lines, neither οf which passes thrοugh the pοint (3, 1).

The secοnd graph shοws twο lines, neither οf which passes thrοugh the pοint (3, 1).

The third graph shοws twο lines, neither οf which passes thrοugh the pοint (3, 1).

The fοurth graph shοws twο lines, οne passing thrοugh the pοint (3, 1) and the οther passing near it, but nοt thrοugh it.

Therefοre, the graph that shοws the sοlutiοn tο the system οf linear equatiοns is the fοurth graph, which has οne line passing thrοugh the pοint (3, 1) and anοther line passing near it.

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Answer:

Since each question has 3 choices and only one is correct, the probability of answering a single question correctly is 1/3.

To find the probability of answering all 10 questions correctly, we need to multiply the probabilities of each individual question together, since the events are independent.

Therefore, the probability of acing the test is:

(1/3)^10 = 0.000005904

Or approximately 0.0006%, which is a very small probability.

Step-by-step explanation:

Answer:

\(y=2(\frac{1}{3})^x\)

Step-by-step explanation:

Let the equation of the given exponential function is,

y = a(b)ˣ

Graph of the given exponential function passes through (0, 2) and (-1, 6)

For a point (0, 2),

2 = a(b)⁰

a = 2

For another point (-1, 6),

6 = 2(b)⁻¹

3 = b⁻¹

b = \(\frac{1}{3}\)

Therefore, equation of the exponential function will be,

\(y=2(\frac{1}{3})^x\)

Answer: 6

Step-by-step explanation: The y-intercept is 6 and the slope is -2.

First, we subtract 10x.

5y = -10x+30

Then we divide by 5.

y = -2x + 6

Now we have everything we need!

So the y-intercept is 6.

Hope this helps! :)

The y-intercept is "6".

Given:

\(10x+5y=30\)

y-intercept

\(10x+5y=30\) y-intercepts

When y-intercepts the value it indicates that x=0 then

\(\to 10x+5y=30\\\\\to 10(0)+5y=30\\\\\to 5y=30\\\\\to y=\frac{30}{5}\\\\\to y=6\)

When the y-intercept is value will be "6".

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Answer:

x= 72/19

Step-by-step explanation:

et's solve your equation step-by-step.

19

24

=

3

x

Step 1: Cross-multiply.

19

24

=

3

x

19*x=(3)*(24)

19x=72

Step 2: Divide both sides by 19.

Answer:

answer D

Step-by-step explanation:

hello,

\(f(x)=-5^x-4 \ and \ g(x)=-3x-2\\(f-g)(x)=f(x)-g(x)=-5^x-4+3x+2=-5^x+3x-2\)

hope this helps

The value of function (f - g) (x) is,

⇒ 5ˣ + 3x - 2

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Functions are,

⇒ f (x) = - 5ˣ - 4

⇒ g (x) = - 3x - 2

Hence, We get;

The value of function (f - g) (x) is,

⇒ (f - g) (x)

⇒ f (x) - g(x)

⇒ (5ˣ - 4) - (- 3x - 2)

⇒ 5ˣ - 4 + 3x + 2

⇒ 5ˣ + 3x - 2

Thus, The value of function (f - g) (x) is,

⇒ 5ˣ + 3x - 2

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The solution to the equation is -1.5 or -3/2.

We have the equation:

x² + 3-2x= 1+ x² +5

Combine Terms and subtract x² from both sides:

x² - x² + 3 -2x = 1 + 5 + x² - x²

3 -2x = 1 + 5

Add:

3 -2x = 6

Combine Terms and subtract 3 from both sides:

-2x + 3 -3 = 6 - 3

-2x = 3

Dividing by -2 we get:

x = 3/(-2)

x = -3/2

x = -1.5

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Answer:

I think is is 14 square inches.

Step-by-step explanation:

2 plus 2 plus 5 plus 5 = 14

I don't know if this is right.

not times because 2 time 2 times 5 times 5 equals 100. there is no 100 . divide is not working and subtract is not working so add. I hoke this is correct and helps.

By the Converse of the Base Angles Theorem, the third line (the side opposite the third angle) is also congruent to the other two lines.

In a triangle, if two lines are congruent, the theorem that guarantees the congruence of the third line is the Converse of the Base Angles Theorem (also known as the Isosceles Triangle Theorem).

The Converse of the Base Angles Theorem states that if two angles of a triangle are congruent, then the sides opposite those angles are congruent.

In other words, if two sides of a triangle are congruent, the angles opposite those sides will also be congruent.

So,if two lines in a triangle are congruent, it implies that the angles opposite those lines are congruent.

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The maximum value of the function is approximately 1.724 and the minimum value is approximately -1.724.

To find the maximum and minimum values of the function y = sin x + sin 2x, we can first take its derivative with respect to x:

y' = cos x + 2 cos 2x

Then, we can set y' equal to zero and solve for x:

cos x + 2 cos 2x = 0

We can use a graphing calculator to find the solutions to this equation, which are approximately x = 0.285 and x = 2.857. We can then evaluate the original function at these values to find the maximum and minimum values:

y(0.285) ≈ 1.724

y(2.857) ≈ -1.724

Therefore, the maximum value of the function is approximately 1.724 and the minimum value is approximately -1.724.

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Answer:

y=10x-2

Step-by-step explanation:

-2 is the y-intercpt

Answer:

y=4/3x-2

Step-by-step explanation:

The inequality that shows the distance ran is 3x ≥ 4y

An equation is a expression that shows the relationship between numbers and variables.

Inequalities are used for the non equal comparison of numbers and variables.

Lena ran 3 miles each day for x days. Ivan ran 4 miles each day for y days.

Total number of miles that Lena ran = 3x

Total number of miles that Ivan ran = 4y

The total number of miles that Lena ran is at least the total number of miles that Ivan ran, hence:

3x ≥ 4y

The inequality is 3x ≥ 4y

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Answer:

BC ≈ 15.01

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan65° = \(\frac{opposite}{adjacent}\) = \(\frac{BC}{AC}\) = \(\frac{BC}{7}\) ( multiply both sides by 7 )

7 × tan65° = BC , then

BC ≈ 15.01 ( to the nearest hundredth )

Quadrilateral PQRS formed by joining the midpoints of quadrilateral ABCD is a parallelogram.

According to midpoint theorem, SR = BD / 2. Same as in triangle ABD, SP is parallel to BD and SP = BD/2.

From above two equations SR is parallel to SP and SR=SP.

As one pair of opposite sides are equal in length and parallel to each other, the resultant figure by joining the midpoints of a quadrilateral become a parallelogram.

Hence PQRS is a parallelogram.

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Using Sabah's function, ($1125, $500) is the right ordered pair. It is not a function if any of the x values are the same, but this is not true if the y values are different.

A set of ordered pairs is not a function if an x value has more than one y value associated with it. For instance, in the relation (4, 1), (4, 2), the x-value of 4 has y-values of 1 and 2, indicating that this relation is not a function. The connection is a function if each x-value has a single corresponding y-value.

An ordered group of pairs makes up a relation (x, y). A pair that has two values stated in a specific order between parenthesis is known as an ordered pair. It is made up of the x coordinate (abscissa) and the y coordinate (ordinate). For greater visual comprehension, it helps to locate a point on the Cartesian plane. An ordered pair of numbers can have either fractional or integer values.

Therefore the correct answer is ($1125, $500) .

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The final ten digits are 27, 81, 43, 29, 87, 61, 83, 49, 47, with the pattern repeating every ten steps.

Let us calculate the value of t3:

t1 = 3^3 = 27

t2 = (3^3)

^3 = 27^3 = 19,683

t3 = (27^3)

^3 = 19,683^3

Because exponentiation is a repeated multiplication, we can calculate the last two digits of t3 by dividing each intermediate result by 100 and taking the remainder.

For instance, the final two digits of 273 are:

(27 * 27) % 100 = 729 % 100 = 29

(27 * 29) % 100 = 783 % 100 = 83

(83 * 29) % 100 = 2427 % 100 = 27

Therefore, the last two digits of t3 = ((3^3)^3)^3 are 27.

To demonstrate that the last ten digits are the same for all k > 10, consider the pattern of the last two digits as we continue calculating tn:

t3 = 27

t4 = (3 * 27) % 100 = 81

t5 = (3 * 81) % 100 = 43

t6 = (3 * 43) % 100 = 29

t7 = (3 * 29) % 100 = 87

t8 = (3 * 87) % 100 = 61

t9 = (3 * 61) % 100 = 83

t10 = (3 * 83) % 100 = 49

t11 = (3 * 49) % 100 = 47

Every 10 steps, the last two digits repeat in a cycle. As a result, for all k > 10, the last ten digits of tk are the same. The final ten digits are 27, 81, 43, 29, 87, 61, 83, 49, 47, with the pattern repeating every ten steps.

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