use the ratio test to determine the radius of convergence of the following series: ∑n=0[infinity]xn17n r= 1/17

Answer:

Anything to the 0 power is equal to 1

Step-by-step explanation:

Answer:

Anything to the zero power equals 1.

Answer:

1) (-1;4), (4;3)

2) (-1;4), (0;0)

Step-by-step explanation:

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The five algebraic properties of equality are: Reflexive, Symmetric, Transitive, Addition, and Multiplication properties

These properties are the foundation of algebraic manipulation and are used to solve equations and simplify expressions.

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Answer:

Dilation of 2

Step-by-step explanation:

Note that [tex]SR=2[/tex] and [tex]S'R'=4[/tex].

The scale factor is defined as the ratio of the length of the side of the image to the length of the corresponding side of the preimage.

So, the scale factor is [tex]\frac{4}{2}=2[/tex].

Answer:

Step-by-step explanation:

whats the function

Answer:

.35

Step-by-step explanation:

Experimentally   7 hearts were drawn with 20 tries

7/20 = .35

Answer: A: 0.13

Step-by-step explanation:

Answer y = X/2

The given function is a linear function passing through Origin.

We have to Complete the table using the given rule.

y=x/2

1.→ 1= x/2

x=2

2.→ 2.5=x/2

x=5

3.→2=3.5=x/2

x=7

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Answer:

Each interior angle measures 108 degrees. All of the angles are congruent. The sum of the measures of the interior angles is 180(5 – 2)°.

The area of the right triangle with base 5 cm and altitude 4 cm will be 10 cm².

The area of right triangle is calculated using the formula -

Area = 1/2 × b × h. In the formula, the b is base of triangle and h is height of triangle.

Keep the values in formula to find the area of the right triangle.

Area = 1/2 × 5 × 4

Performing division on Right Hand Side of the equation

Area = 5 × 2

Performing division on Right Hand Side of the equation

Area = 10 cm²

Therefore, the area of right hand triangle will be 10 cm².

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To find the value of x in exponents and powers, we can use logarithm.

To find the value of x in an equation involving exponents or powers, you can use logarithms. The logarithm of a number is the exponent to which a base, such as 10 or e, must be raised to equal that number. The base of the logarithm is usually written as a subscript, so log base 10 of 100 is written as log10(100).

For example, if the equation is x^3 = 27, you can use logarithms to solve the equation by taking the logarithm of both sides with the same base. log(x^3) = log(27) and by using the logarithm properties we can simplify this to 3log(x) = log(27) and then divide both sides by 3 and x = 3.

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904 is a composite number.

Prime factorization: 904 = 2 × 2 × 2 × 113, which can be written 904 = 2³ × 113.

What is a factor in math?

A factor is a number that divides another number, leaving no remainder. In other words, if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product because they are divisible by the product

The exponents in the prime factorization are 3 and 1. ...

Factors of 904: 1, 2, 4, 8, 113, 226, 452, 904.

Factor pairs: 904 = 1 × 904, 2 × 452, 4 × 226, or 8 × 113.

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m = 5/4 is the solution to the equation

An indices equation is an equation that relates the indices of two or more variables or functions in a mathematical expression. The indices are the exponents of the variables or functions, and the equation states the relationship between them.

The equation can be simplified as follows:

[tex]\frac{1}{\sqrt{8} } = 4^{m-2}[/tex]

[tex]\frac{1}{8^{\frac{1}{2} } } = 4^{m-2}[/tex]

[tex]8^{-\frac{1}{2} } = 4^{m-2}[/tex]

[tex](2^{3})^{-\frac{1}{2} } = 2^2^{(m-2)}[/tex]

[tex]2^{-\frac{3}{2} } = 2^2^{(m-2)}[/tex]

Equate the powers or exponents:

-3/2 = 2(m-2)

-3/2 = 2m - 4

2m = -3/2 + 4

2m =5/2

m = 5/4

The solution to the equation is m = 5/4

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Answer:

(8,5)

Step-by-step explanation:

Step-by-step explanation: y=5 x 3x - 2y= 14

Answer:

y = -[tex]\frac{1}{2}[/tex]x+6

Step-by-step explanation:

First off, you need to know what slope-intercept form is: y = mx+b

y = mx+b

b = the y-intercept, or where the line meets with (0,y), which is value of the coordinate is the y-intercept.

Looking at your yellow dot on the y axis, (0,6), could be the perfect fit to find the y-intercept.

So, know we know: y = mx+6

m = the slope of the line - you have to find two coordinates

in this case, it could be the two yellow points

(0,6)

(6,3)

use the following two coordinates to find the slope:

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

In this case, it would be 3-6/6-0, which equals to -1/2.

So, finally, we get:

y = -[tex]\frac{1}{2}[/tex]x+6

The given coordinates for point y are y(−3, 4). Using the translation rule (x, y) → (x − 2, y + 1), the new coordinates for point y' will be y'(–5, 5).

The given coordinates for point y are y(−3, 4). This means that the x coordinate of point y is -3, and the y coordinate of point y is 4. Applying the translation rule (x, y) → (x − 2, y + 1), the x coordinate of point y' is obtained by subtracting 2 from the x coordinate of point y, which is -3. The y coordinate of point y' is obtained by adding 1 to the y coordinate of point y, which is 4. Therefore, the new coordinates for point y' are y'(–5, 5).

The given coordinates for point y are y(−3, 4). Using the translation rule (x, y) → (x − 2, y + 1), the new coordinates for point y' will be y'(–5, 5).

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Answer:

A 5,-5

Step-by-step explanation:

The cost of 1 ft² grass sod is $3 and the cost of 1 geranium is $10.

This is found using simultaneous equations.

What are simultaneous equations?

A finite set of equations for which common solutions are sought is referred to as a set of simultaneous equations, often known as a system of equations.

Let,

    x = Cost of 1 ft² grass sod

   y = Cost of 1 geranium

In Shayna's case

Grass sod = 2ft²

Geranium bought = 1

Cost = $16

Equation

2x + y = 16 ⇒ (1)

In Arjun's case

Grass sod = 1 ft²

Geranium = 7

Cost = $73

Equation

x + 7y = 73 ⇒ (2)

Solving the equation (1) and (2)

From (1)

y = 16 - 2x

Substituting the above in (2)

x + 7 (16-2x) = 73

-13x = -39

  x = 3  

   y = 16 - 2*3 = 10

Therefore from the solution of the above simultaneous equations, we can conclude that the cost of 1 ft² grass sod is $3 and the cost of 1 geranium is $10.

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The Poisson law states that the probability of at least 2 different changes daily is 0.0263. Thus, 0.0263% of changes happen twice or more each day.

The mathematical method it explains for calculating probability calculates all the probabilities of something occurring in the setting of specific random events. A probability's proximity to the unit value and, conversely, its distance from zero can make one less comfortable in the outcome. The confidence level is based on how close the probability value is, which is calculated using a range from 0 and 1

Here,

The conditional probability function for X is the amount of times the incident occurs over a specific period of time.

In this experiment, the frequency, or x, at which an event occurs is counted.

The likelihood of the event happening throughout each period is equal.

The number of events in one period is independent of the number in other intervals.

The first step is to set the discrete stochastic process X to the number of website content updates.

Let's say that there are on average x content changes every day.

The Poisson distribution law states that the probability of at least 2 changes each day is 0.0263.

0.0263% of changes occuring twice or more as a result per day.

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The growth factor in an exponential function is the constant multiplier that is used to generate the next value in a sequence. It is usually represented by the letter r or b.

The growth factor in an exponential function is a constant multiplier that is applied to each successive value in the series to generate the next value.

The growth factor is essentially the rate of growth of the exponential function, and is calculated by taking the ratio of two successive values of the function.

The growth factor is an important concept in exponential functions, as it helps describe how quickly the function is growing or decaying.

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Answer:

It equals 0

Step-by-step explanation:

Hope it helps!

The Values of missing angles are shown below.

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

6. Using Angle sum property

<1 + 72 + 57 = 180

<1 = 51

Now, <2 +72 = 90

<2 = 18

<and, <3+ 57 = 180 (linear pair)

<3 = 123

Now, <4 = 180- 123- 18

<4 = 39

7. <1 = 180- 129 = 51 (linear pair)

<2 = 180- 51 - 95 = 34 (Angle sum property)

<3 = 95 (Vertical opposite angle)

<4= 180- 47 - 95 = 38

<5 = 47  (Vertical opposite angle)

<7= 180-121= 59

<6= 180-59-47= 74

8. Using Angle sum property

13x+ 2 + 5x - 7 + 3x -4 = 180

21x -9 = 180

21x = 189

x= 9

So, angles are 13x+2 = 119, 5x-7 = 38 and 3x-4 = 23

9. Using Exterior Angle property

19x- 18 = 7x+1 + 10x- 9

19x - 18 = 17x  - 8

2x = 10

x= 5

So, angles are 19x-18 = 77, 7x+1 = 36 and 10x-9 = 41

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The congruence of the angles <TKL and <TLK is justified as follows:

The supplements of congruent angles are congruent.

Congruent angles are angles that have the same angle measure.

The congruent angles for this triangle are given as follows:

An angle is supplementary with it's exterior angle, meaning that the sum of their measures is of 180º, hence:

As angles 3 and 4 are congruent, we have that angles <TKL and <TLK are also congruent, and thus the correct option is given by the last option.

The problem is given by the image presented at the end of the answer.

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Answer:

[tex]\displaystyle y=-\frac{1}{6}x-\frac{2}{6}[/tex]

Step-by-step explanation:

[tex]\displaystyle x+6y=-2\\\\6y=-2-x\\\\y=-\frac{2}{6}-\frac{1}{6}x\\\\y=-\frac{1}{6}x-\frac{2}{6}[/tex]

Answer:

Fibonacci sequence

Step-by-step explanation:

A sequence where a term in the sequence is the sum of the 2 previous terms , is a Fibonacci sequence , that is

1 + 1 = 2

2 + 1 = 3

3 + 2 = 5

5 + 3 = 8

Answer: We can start solving this problem by using the information given: the ships are traveling in opposite directions and the speed difference between them is 12 mph. Let's call the speed of the ship heading east x and the speed of the ship heading west x-12.

We also know that the ships were 300 miles apart after 6 hours. The distance between the two ships can be represented as the sum of the distances traveled by each ship, which is x*6 + (x-12)*6 = 300.

We can use this equation to find the value of x.

x*6 + (x-12)*6 = 300

We can simplify it as:

x6 + x6 - 72 = 300

x12 - 72 = 300

x12 = 372

x = 31

So the ship heading east travels at 31 mph.

It is important to notice that the ship going west was 12 mph slower than the ship going east, so the speed of the ship going west is 31-12 = 19 mph.

It is also important to notice that the speed of each ship, x and x-12, are in the same units (mph) and also the distance, 300 miles, and the time, 6 hours, are also in the same units (hours and miles)

Step-by-step explanation:

Place value blocks should be exchanged as

30 tenths and 18 hundredths for modeling 3.18/6 .

Place value can be defined as the value represented by a digit in a number on the basis of its position in the number. For example, the place value of 7 in 3,743 is 7 hundreds or 700. However, the place value of 7 in 7,432 is 7 thousands or 7,000.

Given,

Number to model = 3.18/6 = 0.53

The number is 3 wholes 1 tenths and 8 hundredths.

To divide it into 6 equal shares she has to exchange place value blocks as

30 tenths and 18 hundredths

Making its equal shares

30/6 tenths and 18/6 hundredths

5 tenths and 3 hundredths

Hence, 30 tenths and 18 hundredths is the way to exchange place value blocks for modeling 3.18/6.

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Find two numbers, r and s, whose product is c and whose sum is b to factor a trinomial of the type x2 + bx + c. Rewrite the trinomial as x2 + rx + sx + c, and then factor the polynomial using grouping and the distributive property.

A polynomial is an expression in mathematics that consists of variables (also known as indeterminates) and coefficients and includes only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Step 1: Combine the first two terms, then the last two terms. Step 2: Separately extract a GCF from each binomial. Step 3: Get rid of the common binomial. It's worth noticing that dividing our solution by itself yields the original polynomial. A polynomial is an equation made up of variables, constants, and exponents that are mixed using mathematical operations including addition, subtraction, multiplication, and division (No division operation by a variable).

Here,

To factor a trinomial of the type x2 + bx + c, find two numbers, r and s, whose product is c and whose sum is b. Rewrite the trinomial as x2 + rx + sx + c, then factor the polynomial using grouping and the distributive property.

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410.3005

thats the answer but i need to add more characters ignore this

It is impossible to determine the constant of proportionality from the information given. A proportional relationship is when two quantities are related by a constant factor. The graph shows the relationship between math test raw scores and a certain number of points, but the constant of proportionality cannot be determined based on this alone. To determine the constant of proportionality, we would need to know how the points are calculated based on the raw scores, and see an equation that relates the two variables.