i need help it is math

The radius of convergence is a-R a+R = 6+12 =18 and 6-12 = -6 for the |6x 12/<78 and diverges if |6x 12| 78.

The set of actual numbers x wherein the collection converges is the c program language period of convergence. If there exists a actual wide variety R such that the collection converges for |x−a|R, then R is the radius of convergence.

The radius of convergence is 1/2 of of the duration of the c program language period of convergence. If the radius of convergence is R then the c program languageperiod of convergence will consist of the open c program languageperiod: (a − R, a + R). To discover the radius of convergence, R, you operate the Ratio Test.

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Hi there!

~

This question struck a chord with me as a highscooler. I never refer to the symbol x as an operator for multiplication because it too closely resembles a variable x. I only use a dot while indicating multiplication of two real numbers. Once students reach Algebra, the need for that is also limited.As far as the history goes, here's what I found: “Today elementary school students use the symbol × for multiplication. William Oughtred (1574-1660), a clergyman who gave free private lessons to pupils interested in mathematics, used the symbol × for multiplication. He also invented 150 other symbols. The × symbol was not readily accepted though. Gottfried Wilhelm Leibniz (1646-1716) thought it resembled the unknown x too much. Thomas Harriot (1560-1621) used the dot (·) for multiplication. This was not used much either until Leibniz adopted it.” It's no surprise that Leibniz was instrumental in the popularization of this notation, as much of the notation we use in Calculus was also developed by Leibniz. In short, there is no difference. Multiplication is a natural operation in mathematics and has just been symbolized in different people in different ways in different periods of time.

Hence they are both easy to use.

❀Hope this helped you!❀

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Answer: ayo there sum called expression calculator look it up

Step-by-step explanation:

By answering the presented question, we may conclude that She spends equation 40% of her time at work and 15% of her time on other hobbies. She spends 20% of her time napping.

In mathematics, an equation is an assertion that affirms the equivalence of two factors. An algebraic equation (=) separates two sides of an equation. For instance, the assertion  \("2x + 3 = 9"\) states that the word  \("2x + 3"\) Corresponds to the number "9".

The goal of solution solving is to figure out which variable(s) must still be adjusted for the equations to be true. It is possible to have simple or intricate equations, recurring or complex equations, and equations with one or more components.

For example, in the equations \("x2 + 2x - 3 = 0\)  ," the variable x is lifted to the powercell. Lines are utilized in many areas of mathematics, include algebra, arithmetic, and geometry.

Abby, according to the picture, spent:

She spends 25% of her time in school.

She spends 40% of her time at work and 15% of her time on other hobbies.

Therefore, Furthermore, she spends  \(20\) of her time napping.

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Answer:

7 goals

Step-by-step explanation:

Jimmy scored 49 goals, and Tommy scored 7 times fewer than he did. We now know that an unknown number multiplied by 7 equals 49. This can be represented in an equation:

49/7 = x

x represents the amount of goals Tommy scored. Let's solve our equation to find the answer:

49/7 = 7

7 = x

Tommy scored 7 goals.

I hope this helps :)

Answer:

Percent error = -4.02 (Approx.)

Step-by-step explanation:

Given:

Estimated pool dimension = 15 ft long and 35 ft wide

Actual pool dimension = 14.5 ft long and 34.75 ft wide

Find:

Percent error

Computation:

Area of Estimated pool = 15 x 35

Area of Estimated pool = 525 ft²

Area of Actual pool = 14.5 x 34.75

Area of Actual pool = 508.875 ft²

Percent error = [(Actual - Estimated) / Estimated]100

Percent error = [(508.875 - 525) / 525]100

Percent error = [(-21.125) / 525]100

Percent error = -4.02 (Approx.)

Answer:

True:

D.

E.

F

Step-by-step explanation:

First, you should know that the square of any odd number is also odd.

The easiest way to go about this is to plug in an odd number for n. Lets use 3:

Plug 3 into A:

\(3^{2} -1=9-1=8\)

Plug 3 into B:

\(3(3-1)=9-3 = 6\)

Plug 3 into C:

\((3-2)^{2} = 2^{2} = 4\)

Plug 3 into D:

\(3^{2} +2 = 9+2=11\)

Plug 3 into E:

\(3(3-2) = 9-6 = 3\)

Plug 3 into F:

\((3-2)^{2}=1^{2} =1\)

Answer:

a. mean = 6.96 , standard deviation = 1.71 b. 0.0641

Step-by-step explanation:

Here is the complete question

According to the Behavioural Risk Factor Surveillance System, 58% of all Americans adhere to a sedentary lifestyle (sedentary means does not exercise).

a. If you selected repeated samples of 12 from the U.S. population, what would be the mean number of individuals per sample who do not exercise regularly? What would be the standard deviation?

b. Suppose you select a sample of 12 individuals and find that 10 of them do not exercise regularly. Assuming that the Surveillance System is correct, what is the probability that you would have obtained results as bad or worse than expected?

Solution

a. Since we can only have two types of outcomes, that is, those who exercise and those who do not exercise, the problem follows a binomial distribution.

Since the probability of those who do not exercise, p = 58 % = 0.58,

the mean of the binomial distribution μ = np where n = sample number = 12

So, μ = 12 × 0.58 = 6.96

The standard deviation of a binomial distribution σ = √(npq) where q = probability that people exercise = 1 - p = 1 - 0.58 = 0.42

So, σ = √(12 × 0.58 × 0.42) = √2.9232 = 1.71

b. To find the worst case, we consider the probability that at best, two exercise. Since two exercise, the probability that at best two exercise is ¹²C₂q²p¹⁰ + ¹²C₁qp¹¹ + ¹²C₀q⁰p¹²

= (12 × 11/2)(0.42)²(0.58)¹⁰ + 12(0.42)(0.58)¹¹ + 1 × (0.42)⁰(0.58)¹²

= 0.05 + 0.0126 + 0.00145

= 0.06405

≅ 0.0641

Answer:

Step-by-step explanation:

$8 per hour + average commision $260 per car sold ≥ $1040 per week.

This two numbers can make 1040 dollars a week or less. It depends on how many cars he can sell.

Answer:

216 mm^2.

Step-by-step explanation:

Area = width * length

= 8 * 27

=  216 mm^2.

25% percent of the females in Math town have brown eyes. To find the number of females with brown eyes, we need to subtract the number of males with brown eyes from the total number of people with brown eyes

what is percent  ?

A percent is a way of expressing a number as a fraction of 100. The symbol for percent is %, which means "per hundred".

In the given question,

Let's assume that there are 100 people in Math town.

60% of them are males, so there are 60 males and 40 females.

Out of the 60 males, 30% have brown eyes, so there are 18 males with brown eyes.

28% of the entire population have brown eyes, so there are 28 people with brown eyes.

To find the number of females with brown eyes, we need to subtract the number of males with brown eyes from the total number of people with brown eyes:

28 - 18 = 10

So, there are 10 females with brown eyes.

Out of the 40 females in Math town, what percentage have brown eyes?

10 brown-eyed females out of 40 females is:

10/40 = 0.25 or 25%

Therefore, 25% of the females in Math town have brown eyes.

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Answer:

  Ron makes more than $35 by selling 5 portraits

Step-by-step explanation:

Ron's costs for 5 portraits are ...

  mall fee + material cost = $22 +3.25(5) = $38.25

Ron's revenue from the sale of 5 paintings is ...

  $15.50(5) = $77.50

So, his profit from the sale of 5 paintings is ...

  profit = revenue -cost = $77.50 -38.25 = $39.25 . . . more than $35

We agree Ron will earn $35 or more by selling 5 portraits.

Exact value

Decimal form

0.47712125

Answer:

\(log_{81} 3 = \frac{1}{4}\)

Step-by-step explanation:

\(Let \; log_{81} 3 = x \\\therefore 3 = {81}^x ..(by\: changing\: in \: exponential\: form)\\\therefore 3^1 = {3}^{4x}\\\therefore 1 = 4x.\\(\because bases \: are \: equal,\: hence \: exponents\: will\: also\: be \: equal)\\\therefore x = \frac{1}{4}\\\\\huge\purple{\boxed{\therefore log_{81} 3 = \frac{1}{4}}}\)

Answer:

\(B)\)

\((-1,1)(-3,3)\\\frac{3-1}{-3+1} =-1\\1=1+b\\b=0\\y=-x\)

OAmayOHopeO

Answer:

Step-by-step explanation:

First the max degree is 360

Then multiply by 5/8

360 x 5/8 = 1800/8

1800/8 = 225

Answer: 225

The equivalent expression in the context of this problem is given as follows:

A. 5k² - 3k + 1

The expression in the context of this problem is given as follows:

(15k³ - 9k² + 3k)/3k.

The common term in the numerator is given as follows:

3k.

The simplified numerator then is given as follows:

3k(5k² - 3k + 1).

Simplifying the common term 3k to the numerator and to the denominator, the simplified expression is given as follows:

A. 5k² - 3k + 1

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The possible values for the number of peaches Lydia could buy are:

2, 3, 4.

We have,

Lydia wants to buy 8 apples, which cost $2.25 each.

Therefore, the total cost of the apples is 8 * $2.25 = $18.

She has $25 to spend, so after buying the apples, she has:

$25 - $18 = $7 remaining.

Now,

Lydia must buy at least 10 apples and peaches altogether.

Since she has already bought 8 apples, she needs to buy at least 2 more fruits.

Let's consider the peaches.

Each peach costs $1.75. To find the possible values for the number of peaches, we can divide the remaining amount ($7) by the cost of a peach ($1.75) and check which whole numbers satisfy the condition.

$7 / $1.75 = 4

Since we need to buy at least 2 more fruits, the possible values for the number of peaches that Lydia could buy are 2, 3, or 4.

Therefore,

The possible values for the number of peaches Lydia could buy are:

2, 3, 4.

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Step-by-step explanation:

Forced vital capacity: the maximum amount of air you can forcibly exhale from your lungs after fully inhaling. It is about 80 percent of total capacity, or 4.8 liters, because some air remains in your lungs after you exhale

9514 1404 393

Answer:

  a) 1.70 L

  b) 16 breaths per minute

Step-by-step explanation:

a) The maximum value of v(t) occurs when the sine function is at its maximum value of 1. In that case, the volume is ...

  1.27 +0.43×1 = 1.70 . . . liters

__

b) One full breath cycle takes a period of time that makes the argument of the sine function be 2π. The that time period is ...

  1.71t = 2π

  t = 2π/1.71 ≈ 3.6744 . . . seconds

Then the number of breaths per minute is ...

  (60 seconds/minute)/(3.6744 seconds/breath) ≈ 16.33 breaths/minute

The person takes about 16 breaths per minute while sleeping.

In mathematical expression the given expression is written as;

⇒ S + 12 = x² + 2x + 4

Where, S is area of square with side x.

What is Area of square?

A square is a two dimension figure in which all the sides are equal. Since all the sides are equal, the area would be two times the side of a square.

Let a side of square is x feet.

Then, Area of a square (S) = x²

When, The side of the square is increased by 2 feet. Then area is increase by 12 sq. ft.

Then, Side of a square = (x + 2)

Hence, Area of a square = (x + 2)²

                            s + 12  = x² + 2 * x * 1 + 2²

                            s + 12 = x² + 2x + 4

So, In mathematical expression the given expression is written as;

⇒ S + 12 = x² + 2x + 4

Where, S is area of square with side x.

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To answer this question, first we need to understand the definition of alternate interior angles and alternate exterior angles.

Alternate exterior angles are created when two or more lines are intersected by a transversal. These angles are formed on the outer side of the transversal on the different sides.

When any two parallel lines are intersected by a transversal, they create some pairs of angles with the transversal. Interior angles are created in the space inside the parallel lines whereas alternate exterior angles are created in the space outside the parallel lines.

Two angles that lie on the opposite sides of the transversal and are placed on two different lines are called alternate exterior angles.

When two parallel lines are crossed by a transversal, the pair of angles formed on the inner side of the parallel lines, but on the opposite sides of the transversal are called alternate interior angles.

In both cases, alternate interior/exterior angles are equal.

By those definitions, ∠DAC and ∠BCA are alternate interior angles, ∠BAE and ∠ABC are also alternate interior angles.

The number of watts will be 4700 watts to the nearest 100 watt.

It should be noted that 1 watt equals to 3.41 Btu per hour.

In this case, the air conditioner is rated at 16000 BTU per hour.

Therefore, the number of watt will be:

= 16000/3.41.

= 4692

= 4700 watts to the nearest 100 watt.

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Answer:

{-7,5,18,24,32}

Step-by-step explanation:

Let's verify all cases to determine the solution to the problem.

CASE A) we have

-9,7,15,22,26

The number 22 is not included in the solution set of the compound inequality.

CASE B) we have

-7,5,18,24,32

The number 22 is not included in the solution set of the compound inequality.

CASE C) we have

16,17,22,23,24

The number 22 is not included in the solution set of the compound inequality.

CASE D) we have

18,19,20,21,22

The numbers 19,20,21,22 are not included in the solution set of the compound inequality.

The answer to your question would be A

The volume of cone is 175 m³

Firstly,

Volume of Pyramid.

The volume (V) of a pyramid is  

V = ⅓Ah

Data:

V = 175m³

Calculation:

175 = ⅓× A× h

Ah = 175*3

Ah = 525m³

Secondly,

The volume (V) of a cone is

V = ⅓Ah

Data:

Ah = 525 m³

Calculation:

V = ⅓ A× h

V = 175 m³

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Given:

The principal amount is P = $3000.

The rate of interest is r = 5% = 0.05.

The interest rate is A = $600.

The objective is,

a) To find the number of years.

b) To find the monthly payment.

Explanation:

a)

The general formula for simple interest is,

To find n:

On plugging the given values in equation (1),

b)

Since, the total amount of the item can be calculated as,

On plugging the obtained values in equation (2),

To find monthly payment:

Now, the monthly payment can be calculated as,

Here, m represents the monthly payment, the product of 12 is used to convert the number of years into the number of months.

On plugging the obtained values in equation (3),

Hence,

a) The number of years is 4 years.

b) The monthly payment is $75.

During the exponential phase, e.coli bacteria in a culture increase in number at a rate proportional to the current population. If growth rate is 1.9% per minute and the current population is 172.0 million, the population 7.2 minutes from now can be calculated using the following formula:

P(t) = P ₀e^(rt)where ,P₀ = initial population r = growth rate (as a decimal) andt = time (in minutes)Substituting the given values, P₀ = 172.0 million r = 1.9% per minute = 0.019 per minute (as a decimal)t = 7.2 minutes

The population after 7.2 minutes will be:P(7.2) = 172.0 million * e^(0.019*7.2)≈ 234.0 million (rounded to the nearest tenth)Therefore, the population of e.coli bacteria 7.2 minutes from now will be approximately 234.0 million.

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Answer:

Step-by-step explanation:

Find the value of u then you can get it

use the formula for the interest compoundings

replace in the formula with n=2

calculate the future value