if angle poa is a right angle and if measure of angle coa is three times as large as measure angle poc.

The number of gums available, with the 12 boxes, each containing 12 dozens of gums and one open box containing 32 gums, found using the values of the non verbal units of measure, indicates that the number of gums are 1760 gums.

Non verbal units of measure are used to describe the quantity of an item using verbal terms such as pairs (2 units), dozens (12 units), scores (20 units), gross (12 dozens or 144 units), bushels (8 gallons or 4 pecks), ream (500 units).

The number of dozens of pieces of gum are in a box = 12 dozens

The number of boxes of gum available = 12 boxes

The remaining number of gums = 1 open box with 32 gums

1 dozen of an items = 12 units of the specified item

12 dozens of an item = 1 gross of the item

The number of pieces of gums in a box, therefore is 1 gross of gums.

Therefore, the number of pieces of gum in all = 12 × 12 × 12 + 32 = 1760

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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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Answer:

The shorter piece is 13 inches long.

Step-by-step explanation:

39=2x+x

39=3x

/3    /3

13=x

When used inside a function with a parameter, an asterisk groups a variable number of positional arguments into a single tuple of parameter values

Tuples are utilized to store different things in a solitary variable. A tuple is one of 4 implicit information types in Python used to store assortments of information, the other 3 are Rundown, Set, and Word reference, all with various characteristics and use. A tuple is an assortment that is requested and unchangeable. At the point when we say that tuples are requested, it implies that the things have a characterized request, and that request won't change. Python likewise incorporates the * administrator, which permits you to make another rundown with the components rehashed the predetermined number of times. *args permits us to pass a variable number of non-catchphrase contentions to a Python capability. In the capability, we ought to utilize a bullet ( * ) before the boundary name to pass a variable number of contentions.

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As per the given confidence interval, the population mean remodeling costs for the two types of projects is -1.6

Confidence interval

The  range of values that's likely to include a population value with a certain degree of confidence is known as confidence interval.

Given,

A certain association provided data on the cost of the most popular home remodeling projects.

Here we need to find the the population mean remodeling costs for the two types of projects.

Here we will find the point estimate of the difference between the population mean remodeling costs for the two types of projects using an equation,

=> X1​ − X2​

In order to calculate the sample mean we will use equation,

=> X = ∑x/n

Now, we have to substitute values we get,

=> X1 ​= 21.2

=> X2 ​= 22.8

Here X1 refers the sample mean remodeling costs for the kitchen and X2​refers the sample mean remodeling cost for the master bedroom.

Therefore, the point estimate of the difference between the population mean remodeling costs for the two types of projects are,

=> X1 ​− X2​ ​= −1.6

Therefore, we estimate that the remodeling master bedroom has the mean costs of 1.6 greater than mean remodeling costs for the kitchen.

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Here, on solving the provide question to us, we got to know that - 210 feet represents  = 825/4

Since equations are essentially questions, efforts to systematically find answers to those questions have been the driving force behind the development of mathematics. From straightforward algebraic equations that just require addition or multiplication to differential equations, exponential equations that use exponential expressions, and integral equations, there are many different types of equations that range in complexity.

Here,

15 feet represents = 1/8 of an inch

1 feet represents = 1/8 X 15

210 feet represents = 1/8 X 15 X 210 = 825/4

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The sinusoidal function is y = -4.5cos(8(x + π/2)) + 1/2

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

Maximum = (-π/2, 5)

Minimum = (π/4, -4)

A cosine function is represented as

y = A cos(B(x+C)) + D

Where

The cosine function has a max and min of 1 and -1.

So, we have

Difference = |-4 - 5|

Difference = 9

This means that

Amplitude, A = 9/2

A = 4.5

Also, we have

Vertically shift = (5 - 4)/2

Vertically shift = 1/2 up

So, the function becomes

y = 4.5cos(θ) + 1/2

Next, we calculate the value of θ

The period is calculated as

Period = π/4 + π/2

Period = -π/4

This means that

2π/B = -π/4

So, we have

B = -8

This gives

y = 4.5cos(-8(x + c)) + 1/2

cos(0) = 1,

So we want -8(-π/2) - 8C = 0

Solving for c, we have

8C = 8(π/2)

Divide

C = π/2

Substitute C = π/2 in y = 4.5cos(-8(x + c)) + 1/2

y = 4.5cos(-8(x + π/2)) + 1/2

y = -4.5cos(8(x + π/2)) + 1/2

Hence, the function is y = -4.5cos(8(x + π/2)) + 1/2

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Complete question

The function has a maximum point at (-pi/2, 5) and a minimum point at (pi/4, -4)

Determine a cosine equation for this function.

Answer:6/3 or 1/2

Step-by-step explanation:

Answer:  -2

Step-by-step explanation:

Draw that point of intersection. Similarly construct a horizontal line which goes through the point of intersection. The value of the function here at x = 2 is -2.

Answer:

the interval is positive

After simplifying the given equation the answer will be -2tanx.

What is identity?

An equation is referred to as an identity if it has one or more variables and is true for all alternate values of the variables for which both sides of the equation are defined.

Sine, cosine, tangent, cosecant, secant, and cotangent are some of their names. The adjacent side, opposite side, and hypotenuse side of the right triangle are used to define each of these trigonometric ratios. The six trigonometric ratios are the source of all fundamental trigonometric identities.

Given: [tex]\frac{cosx}{1+sinx}-\frac{cosx}{1-sinx}[/tex]

We have to solve this.

Take cross multiplication.

[tex]= \frac{cosx - cosxsinx-cosx-cosxsinx}{(1-sin^2x)}\\= \frac{-2cosxsinx}{(1-sin^2x)}[/tex]

Since,

[tex]1-sin^2x=cos^2x[/tex]

[tex]= \frac{-2sinx}{cosx}[/tex]

Since, [tex]\frac{sinx}{cosx} = tanx[/tex]

[tex]= -2tanx[/tex]

Hence, after simplifying the given equation the answer will be -2tanx.

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If a sample of 40 teams is selected at random from the population, the expected mean is $750 and the standard deviation is $29.25

The mean of the cost of joining a team = $750

Standard deviation = $185

A sample of 40 teams is selected at random from the population

The expected standard deviation = [tex]\sqrt{\frac{185^2}{40} }[/tex]

= $29.25

Here the cost of joining a team is normally distributed with a mean of $750

Here the distribution of the cost of joining is normal the mean of the sample distribution, so it will be equal to the mean of the population

The mean = $750

Therefore, the standard deviation is $29.25 and the mean is $750

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The fraction that will be equivalent to 5/8 with a denominator of 16 is 10/16

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

Fraction = 5/8

This fraction is to be converted to a fraction  with a denominator of 16

This is so because the scale only measures in 16ths

So, we have the following representation

Fraction = 5/8

When 8 is multiplied by 2, the result is 16

So, we multiply 5 and 8 by 16

This gives

Fraction = 10/16

Hence. the solution is 10/16

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The variable is m so it is being divided by 5

What is the arithmetic operations?

A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.

We have,

-5m = -40

It's being multiplied by -5.

-5m = -40

-5m * (-5) = -40(-5)

25m = 200

m = 8

It's being multiplied by -40.

-5m * (-40)= -40 * (-40)

200m = 1600

m = 8

it's being divided by -5

-5m= -40

m = 8

It's being divided by -40.

-5m / (-40)= -40 / (-40)

m = 8

Hence, The variable is m so it is being divided by 5

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r = 1 in scatter plot 1, the response. Scatter plot 2, with a r of 0.364 Scatter plot 3, r=-0.995 Scatter plot 4, r = 0.995 Scatter plot 5, with a r of 0.735.

Charts that depict the relationship between two variables are known as scatter charts, sometimes known as scatter plots. They are a very effective type of chart because they enable readers to see relationships or trends right away that are difficult to see in practically any other form.

You can figure out R using the formula R = s t if you've worked in sections. Between 1 and 1 will be the response you receive. Any response that is affirmative demonstrates a positive correlation, with anything over 0.7 often being regarded as a significant link.

r = 1 in scatter plot 1, the response. Scatter plot 2, with a r of 0.364 Scatter plot 3, r=-0.995 Spreadsheet plot 4, r = 0.995 Scatter plot 5, with a r of 0.735.

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The central angle of the given arc LKJ is;  211°

We want to find the length of the arc LKJ. The central angle for this arc length is; 115° + 96° = 211°

The formula for length of arc is;

L = θ/360 * 2πr

where;

θ is central angle

r is radius

We are not given the radius and as such, we can only find the central angle which is 211°

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Answer:

The two sides of the triangle are the same as marked.

118+Y=180

Y=180-118=62

Y=62

X+Y+Y=180

X+2Y=180

X=180-2Y

X=180-2x62

X=56

Step-by-step explanation:

A true average strain in a way that converys information about precision and reliability  (23.0616, 26.9384)

In this question we have been given:

sample size n = 15

the mean failure strain x(bar) = 25.0

the standard deviation s = 3.5

Assuming a normal distribution for failure strain, we need to estimate true average strain in a way that converys information about precision and reliability.

A 95% confidence interval is necessary; other confidence intervals can be calculated in a similar way.

c = 0.95 or 95%

In the table with the critical values for t distributions in the appendix, locate the row beginning with degrees of freedom.

Here, the degree of freedom :

df = n - 1

df = 15 - 1

df = 14

and the column with α =(1-c)/2

                                   =0.025

To find the t-value:

t_(α/2) = 2.145

Therefore, the error margin is:

E = t_(α/2) × s/√n​

E = 2.145× 3.5/√15​

E ≈1.9384

The confidence interval's outer limits are thus:

x{bar} - E = 25.0 - 1.9384

               = 23.0616

x{bar} + E = 25.0 + 1.9384

                = 26.9384

Therefore, the confidence interval is: (23.0616, 26.9384)

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The statement -7 < y < 12 meant y is greater than -7 and less than 12.

{-7 < y < 12}

This is a compound inequality.

A compound inequality is a type of inequality which combones two or more simple inequality.

-7 < y < 12

This can be broken down into two parts;

This can also be written together as y is greater than -7 and less than 12.

This means y is between the values that are greater than -7 but less than 12

So,

y could be -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11

Therefore, y can be said to be within the range of values between -6 and 11

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The statistical method used to predict the values of one numerical variable based on the values of another is regression analysis.

Regression analysis:

Regression analysis is a statistical method that shows the relationship between two or more variables. Usually expressed in a graph, the method tests the relationship between a dependent variable against independent variables.

Regression analysis is used to estimate the relationship between a dependent variable and one or more independent variables.

The common form of regression analysis is linear regression. Regression analysis allows us to infer that there is a relationship between two or more variables.

Therefore regression method is used to predict values of one numerical on another.

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Answer:

-6/7p + 1/7

Step-by-step explanation:

Burton Bush has to invest $93,199 to get $400,000 at the end. Hence, option D is correct.

Interest that is added to a loan and deposit sum is known as compound interest. In our everyday lives, it is the notion that is employed the most frequently. Compound interest is calculated as a sum using the interest and principal accrued over time. Compound interest versus simple interest differ primarily in this way.

As per the given information in the question,

Rate, r = 6%

Number of years, n = 25

Present value, PV = ?

Final value, FV = $400,000

Use the equation of compound interest:

[tex]PV = FV (1 + r)^-^n[/tex]

Put values from above in the given equation,

PV = 400,000 (1 + 0.06)⁻²⁵

PV = 400,000 × 0.23

PV = $93,199.

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Answer:

p=11

Step-by-step explanation:

59+8p+3p=180

59+11p=180

-59.        -59

11p=121

/11.  /11

p=11

hopes this helps

When she did all three activities on Tuesday, the number of days that Gina will do all three activities again on the same day is in 48 days.

The least common multiple, lowest common multiple, or smallest common multiple of two integers a and b, denoted by lcm in arithmetic and number theory, is the smallest positive integer that is divisible by both a and b.

LCM is an abbreviation for "Least Common Multiple." The smallest multiple that two or more numbers have in common is defined as the least common multiple.

Since Gina runs every 8 days, cycles every 16 days, and jogs every 24 days. This will be:

Multiples of 8 = 8, 16, 24, 32, 40, 48

Multiples of 16 = 16, 32, 48

Multiples of 24 = 24, 48

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In picking the smoothing constant for an exponential smoothing model, we should look for a value that produces values which compare well with actual values based on a standard measure of error.

What is exponential smoothing model?

Using the exponential window function, exponential smoothing is a general method for blending time series data. Exponential functions are used to assign exponentially decreasing weights over time, as opposed to the simple moving average, which weights previous observations equally.

The correct answer is, produces values which compare well with actual values based on a standard measure of error.

Quantitative forecasting utilizes a compilation of past performance data of the organization to arrive at an accurate forecast for any given process.

The smoothing constant selected requires to optimize accuracy the unknown parameters and the initial values need to be considered with the implementation of the sum of squared errors providing the required accuracy.

Hence, in picking the smoothing constant for an exponential smoothing model, we should look for a value that produces values which compare well with actual values based on a standard measure of error.

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Complete question:

Complete question is attached below.

Answer:

100 pounds

Step-by-Step Explanation:

20+100=120

cat weighs 20

dog weighs 100

dog weighs 80 pounds more than the cat (20) = 100

Answer: 5 i think

because if x^3 = 1/125 then 625 times 1/125 is 5

The polynomial with given roots is,  

y(x) = x^4 - 9x^3 + 17.53x^2 + 7.164x - 6.902.

What is factor of polynomial?

In mathematics and computer algebra, factorization of polynomials or polynomial factorization expresses a polynomial with coefficients in a given field or in the integers as the product of irreducible factors with coefficients in the same domain.

Given:

The polynomial y(x) that has roots at x = -0.7, x = 0.5, x = 3.4 and x = 5.8.

Since if 'a' is a root of the polynomial then (x - a) is the factor of the polynomial.

So, the factors of the polynomial are, (x + 0.7), (x - 0.5), (x - 3.4), (x - 5.8).

⇒ y(x) = (x + 0.7)(x - 0.5)(x - 3.4)(x - 5.8)

          = (x^2 - 0.5x + 0.7x - 0.35)(x^2 - 5.8x - 3.4x + 19.72)

          = (x^2 + 0.2x - 0.35)(x^2 - 9.2x + 19.72)

   y(x) = x^4 - 9x^3 + 17.53x^2 + 7.164x - 6.902

The graph of the polynomial on the domain -1 ≤ x ≤ 6 is attached below.

Hence, the polynomial with given roots is,  

y(x) = x^4 - 9x^3 + 17.53x^2 + 7.164x - 6.902.

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The 90% confidence interval for the given data is 4.8 ± 2.73.

A confidence interval is a type of interval computation used in statistics that determines the true value of an unknown parameter based on the observed data. The interval estimates the deterministic parameter with a level of confidence that is quantified by the confidence level.

Given, sample mean (x) = 4.8

           z at 90% confidence level = 1.645

           sample standard deviation (s) = 5.25

           sample size (n) = 10

We know that, Confidence interval = x ± (z × s) ÷ √n

                                                           = 4.8 ± (1.645×5.25)/√10

                                                           = 4.8 ± 8.63625/3.1622

                                                           = 4.8 ± 2.73

            ∴ Lower bound = 4.8 - 2.73 = 2.07

       and, Upper bound = 4.8 + 2.73 = 7.53

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