I forgot how to do these :') please help

The series converges if 2/5 < x < 8/5, and the solution for f(x) = 5 is x = 4/5.

The given series is a geometric series with the common ratio (x - 3/5), and the first term is 1. For a geometric series to converge, the absolute value of the common ratio must be less than 1. Therefore,

| x - 3/5 | < 1

Simplifying this inequality, we get

-1 < x - 3/5 < 1

Adding 3/5 to all sides, we get

2/5 < x < 8/5

So, the series converges if 2/5 < x < 8/5.

To solve f(x) = 5, we can use the formula for the sum of an infinite geometric series

f(x) = 1/(1 - (x - 3/5)) = 5

Multiplying both sides by (1 - (x - 3/5)), we get

1 = 5(1 - (x - 3/5))

Simplifying and solving for x, we get

x = 4/5

Therefore, the solution for f(x) = 5 is x = 4/5.

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Answer:

dependent: your distance from home

independent: number of miles you walk

Step-by-step explanation:

lmk if you want an explanation

Answer:

0=0 one solution minus three equal to zero no solution

Answer:

The mortgage balance is $175,000

Step-by-step explanation:

Remember:  House value = equity + mortgage.  Therefore,

                     $300,000     = $125,000 + mortgage balance

The mortgage balance is $175,000.

The equation of the tangent line to the parabola at the point (1,5) is y = 4x + 1.

To find the slope of the tangent line to the parabola at the point (1,5), we need to find the derivative of the equation y = 6x - x² and evaluate it at x = 1.

Taking the derivative of y with respect to x:

dy/dx = d(6x - x²)/dx

= 6 - 2x

Now, we can substitute x = 1 into the derivative to find the slope at that point:

slope = 6 - 2(1)

= 6 - 2

= 4

So, the slope of the tangent line to the parabola at the point (1,5) is 4.

To find the equation of the tangent line, we need to use the point-slope form of a line.

The equation is given by:

y - y₁ = m(x - x₁)

Substituting the values we have:

y - 5 = 4(x - 1)

Expanding and simplifying:

y - 5 = 4x - 4

Moving the constant term to the other side:

y = 4x + 1

Therefore, the equation of the tangent line to the parabola at the point (1,5) is y = 4x + 1.

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Complete question =

Find the slope of the tangent line to the parabola at the point (1,5). y = 6x-x². find an equation of the tangent line.

To evaluate the given integral using Green's theorem, we need to express it in the flux form.  The result of the integral is -r/6.

Green's theorem states that for a region R bounded by a simple closed curve C, the flux of the vector field F = (P, Q) across C is equal to the double integral of the curl of F over R.

In this case, we have the vector field F = (r^2xy, 1/2y^3), where r is the position vector (x, y).

The flux form of Green's theorem is:

\(∫∫R (curl F) · dA = ∫∫R (∂Q/∂x - ∂P/∂y) dA\)

Let's calculate the curl of F:

∂Q/∂x = 0

∂P/∂y = 2rxy

So, the curl of F is given by\((∂Q/∂x - ∂P/∂y) = 0 - 2rxy = -2rxy.\)

Now, let's evaluate the integral using the flux form of Green's theorem:

∫∫R (-2rxy) dA

Since the region R is a triangle with vertices (0,0), (1,0), and (0,1), we can express it as:

\(R = {(x, y) | 0 ≤ x ≤ 1, 0 ≤ y ≤ 1 - x}\)

Now, we can rewrite the integral:

\(∫₀^(1-x) (-2rxy) dy = -2rxy²/2 ∣₀^(1-x) = -rxy² ∣₀^(1-x) = -r(x-x²)\)

Let's evaluate the inner integral first:

\(∫₀^(1-x) (-2rxy) dy = -2rxy²/2 ∣₀^(1-x) = -rxy² ∣₀^(1-x) = -r(x-x²)\)

Now, evaluate the outer integral:

\(∫₀¹ -r(x-x²) dx = -r(x²/2 - x³/3) ∣₀¹ = -r(1/2 - 1/3) = -r(3/6 - 2/6) = -r(1/6) = -r/6\)

Therefore, the result of the integral is -r/6.

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Answer:

$13.95

Step-by-step explanation:

31*9/20=279/20=27.9/2=$13.95

The equation represents a direct proportion

The proportionality constant is 1.2

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

a=1.2b

The above equation is a proportional linear equation

A proportional linear equation is represented as

y = kx

Where

The constant of proportionality is k

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

The equation a=1.2b is a direct proportion and the proportionality constant is 1.2

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The inequality that describes how many movies Parv can buy is: n ≤ 10.025

Let's denote the number of movies Parv wants to buy as n. We are given that each movie costs $3.99. To determine the inequality that describes how many movies Parv can buy, we need to consider the amount of money he has remaining after purchasing the pack of games.

Parv starts with a $50 gift card and spends $9.99 on a pack of games. The remaining amount on the gift card is $50 - $9.99 = $40.01.

Now, let's consider the cost of n movies. Each movie costs $3.99, so the total cost of n movies would be n * $3.99.

Since Parv wants to buy the movies using the remaining amount on his gift card, we can set up the inequality:

n * $3.99 ≤ $40.01

This inequality states that the total cost of n movies, represented by n * $3.99, must be less than or equal to the remaining amount on the gift card, which is $40.01.

Simplifying the inequality further, we have:

3.99n ≤ 40.01

Now, if we want to solve for n, we can divide both sides of the inequality by 3.99:

n ≤ 40.01 / 3.99

Calculating this value, we have:

n ≤ 10.02506265664

Therefore, the inequality that describes how many movies Parv can buy is:

n ≤ 10.025

This means that Parv can buy a maximum of 10 movies, as he cannot purchase a fractional part of a movie.

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The exchange rate of the euro/pound expressed to four decimal places is 1.0100 euro/pound.

To find the exchange rate of the euro/pound, we can use the given exchange rates of dollar/pound and dollar/euro.

Let's denote the exchange rate of euro/pound as E.

Given:

Exchange rate of dollar/pound = 1.21 dollar/pound

Exchange rate of dollar/euro = 1.22 dollar/euro

To find the exchange rate of euro/pound, we can divide the exchange rate of dollar/euro by the exchange rate of dollar/pound:

E = (Exchange rate of dollar/euro) / (Exchange rate of dollar/pound)

E = 1.22 dollar/euro / 1.21 dollar/pound

Simplifying this expression, we get:

E = 1.01 euro/pound

Therefore, the exchange rate of the euro/pound, is 1.0100 euro/pound.

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The new annual premium including the discount is 95.5% of the original premium.

The original premium is not provided. Therefore, the given problem cannot be solved without knowing the original premium. The formula to find the new annual premium including the discount is given below;New Annual Premium Including Discount = Original Annual Premium - Discount The percentage discount is given to be 4.5%.

Therefore, the percentage of the discount can be represented as;Discount = Original Annual Premium x (4.5/100)Now, by substituting the value of discount in the formula above we get;New Annual Premium Including Discount = Original Annual Premium - Discount New Annual Premium Including Discount = Original Annual Premium - Original Annual Premium x (4.5/100)New Annual Premium Including Discount = Original Annual Premium (1- 4.5/100)New Annual Premium Including Discount = Original Annual Premium (95.5/100)New Annual Premium Including Discount = 0.955 x Original Annual PremiumNew Annual Premium Including Discount = 0.955Original Annual Premium.

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Answer:

yes

Step-by-step explanation:

Answer: Graph A represents the number of roommates, Graph B represents the number of free hours, and Graph C represents the cost of tuition

Step-by-step explanation: We know that the x axis is the number of courses. We can solve this by thinking about it as a real world issue. Think about it: since B has a downwards slope, doesn't it make sense for it to represent the number of free hours? Wouldn't taking more classes affect the amount of time you have? And if C is the cost of tuition, then wouldn't it make sense that it has a rising slope? Hope this helps

Answer:

9 jars

Step-by-step explanation:

If you have 25.5 cups of peaches and each jar holds 3 cup you just divide 25.5 by 3 and you get 8,5. But if you want to hold all the peaches you round up to 9 jars.

Using expression 5⁷ x 9,  there are 59,049,125 ways to answer all 9 tests if you select one option per question and leave nothing blank.

What exactly are expressions?

In mathematics, an expression is a combination of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, division, and exponentiation) that represents a value or a quantity.

Expressions can be simple or complex, and they can contain one or more variables. For example, "2x + 3" is a simple expression that contains the variable x.

Now,

To solve this problem, we can use the multiplication principle of counting, which states that if there are m ways to do one thing and n ways to do another thing, then there are m x n ways to do both things.

For each of the 9 tests, there are 5 choices for each of the 7 questions. Therefore, there are 5 x 5 x 5 x 5 x 5 x 5 x 5 possible ways to answer the questions on each test. Using the multiplication principle, we can find the total number of ways to answer all 9 tests by multiplying the number of ways to answer each test together:

5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 = 5⁷ x 9 = 59,049,125

Therefore,

                 there are 59,049,125 possible ways ways to answer all 9 tests if you select one option per question and leave nothing blank.

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Answer:

6,10,14,...

Find the 30th term.

18,22,26,30

Explanation:

+4 each time?

The probability that the first white ball drawn in powerball will not be an 18 is 0.985.

Concept used:

Probability of an event = number of favorable outcomes / total number of outcomes.

We have 69 balls, out of which 1 is an 18. Thus, there are 68 balls that are not 18.

Therefore, the probability of the first white ball drawn in powerball will not be an 18 is given by,

P(event)= number of favorable outcomes / total number of outcomes= 68/69 = 0.985 (approx)

Thus, the required probability that the first white ball drawn in powerball will not be an 18 is 0.985, rounded to three decimal places.

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Answer:

D) \(1 < x\leq 4\)

Step-by-step explanation:

1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)

Based on the exponential decay equation, the number of employees for the company that has been decreasing yearly by 5%, will in 10 years be approximately 515.

The exponential decay equation or function gives the value in t years that has a constant ratio of decrease.

Exponential decay equation is one of the two exponential functions.  The other is the exponential growth equation.

The annual decrease in the number of employees = 5%

The current number of employees in the company = 860

The expected time = 10 years.

The exponential decay equation is as follows, y = 860 x 0.95^10.

y = 860 x 0.95^10 = 515

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The graph has an inequality expression of -4x ≥ -12

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

The graph

On the graph, we can see that:

The number starts from 3 and it extends indefinetely to the left

This can be represented as

x <= 3

Rewrite as

x ≤ 3

Multiply both sides by 4

4x ≤ 12

Multiply both sides by -1

-4x ≥ -12

Hence, the inequality of the graph is -4x ≥ -12

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Answer:

4

Step-by-step explanation:

p(3) = 2³ = 8

p(2) = 2² = 4

8-4 = 4

The values they represent for each of the five data types shown are below.

What is hexadecimal numbers?

The base-16 numbering scheme is known as hexadecimal. Consequently, this system uses the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, and 15. That implies that the two-digit decimal numbers 10, 11, 12, 13, 14, and 15 cannot exist in this numbering system unless they are represented by a single numeral.

For x434F4D50

Unsigned binary - 0000 0100 0011 0100 1111 0100 1101 0101 0000

1's complement - 1111 1011 1100 1011 0000 1011 0010 1010 1111

2's complement 1111 1011 1100 1011 0000 1011 0010 1011 1111

IEEE 754 Floating point - 207.302001953125

ASCII string -COMP

For x55544552

Unsigned integer: 0000 0101 0101 0101 0100 0100 0101 0101 0010

1's complement 1111 1010 1010 1010 1011 1011 1010 1010 1101

2's complement1111 1010 1010 1010 1011 1011 1010 1010 1110

IEEE floating point 1.4587137097728E13

ASCII string: UTER

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Answer:

Discrete set

Step-by-step explanation:

A discrete consists of a fixed number of elements, such that each element or point in the set is a standalone point or isolated. This differs from a continous set which still consists of points in between each set of values. Therefore the property of isolated point is a characteristic of a discrete set. The can be written as a list. The values are isolated on a discrete set as opposed to that of a continuous set whereby values can take up any value within any two intervals in the set.

Approximately 187.97 Joules of energy is required to raise the temperature of 12.2 grams of gaseous nitrogen from 24.5 °C to 39.3 °C.

To calculate the energy required to raise the temperature of 12.2 grams of gaseous nitrogen from 24.5°C to 39.3°C, we need to use the following formula:

Q = m x c x ΔT

Where Q is the energy required (in joules), m is the mass of the substance (in grams), c is the specific heat capacity of the substance (in J/g°C), and ΔT is the change in temperature (in °C).

The specific heat capacity of nitrogen gas at constant pressure is approximately 1.04 J/g°C. Therefore, we can calculate the energy required as follows:

Q = 12.2 g x 1.04 J/g°C x (39.3°C - 24.5°C)
Q = 163.52 J

Therefore, it would require 163.52 joules of energy to raise the temperature of 12.2 grams of gaseous nitrogen from 24.5°C to 39.3°C.

To calculate the energy required to raise the temperature of 12.2 grams of gaseous nitrogen from 24.5 °C to 39.3 °C, you can use the formula:

q = mcΔT

where:
- q is the energy required (in Joules)
- m is the mass of the substance (in grams)
- c is the specific heat capacity of the substance (in J/g°C)
- ΔT is the change in temperature (in °C)

For gaseous nitrogen, the specific heat capacity (c) is approximately 1.04 J/g°C.

Now, let's calculate the energy required:

1. Calculate the mass (m): 12.2 grams
2. Calculate the change in temperature (ΔT): 39.3°C - 24.5°C = 14.8°C
3. Use the formula q = mcΔT:
  q = (12.2 g) * (1.04 J/g°C) * (14.8 °C)
  q ≈ 187.97 Joules

So, approximately 187.97 Joules of energy is required to raise the temperature of 12.2 grams of gaseous nitrogen from 24.5 °C to 39.3 °C.

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Answer: -1.8 and 11.4

Step-by-step explanation:

Trust me or don’t lol

Answer:

D. 2.6 and 7

Step-by-step explanation:

Plato course, did the test

Answer:

=42

Step-by-step explanation:

first find half of 28

=14

now you add that to 28

28+14 =

= 42

Answer:

She ran 7.5 laps

Step-by-step explanation:

Given that:

Total Distance Covered = d = 3 and 3/4 miles

that is: \(3\frac{3}{4} = \frac{15}{4}\ miles\)

Distance per mile = l = 1/2 miles

In order to find the number of laps, we have to simply divide the total distance covered by number of miles in one lap.

Let n be the number of laps then

\(Number\ of\ laps = \frac{Total\ distance}{Distance\ of\ one\ mile}\\n = \frac{d}{l}\\n = \frac{\frac{15}{4}}{\frac{1}{2}}\\Using\ \frac{\frac{a}{b}}{\frac{c}{d}} => \frac{a}{b} * \frac{d}{c}\\n = \frac{15}{4} * \frac{2}{1}\\n = \frac{30}{4}\\n = 7.5\ laps\)

Hence,

She ran 7.5 laps