how do you multiply special case polynomials?

The calculated value of d is 4

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

The circle

The value of d can be calculated using the equation of secant and tangent intersection

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

d * 9 = 6 * 6

Evaluate the products

So, we have

9d = 36

Divide by 9

d = 4

Hence, the value of d is 4

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Answer:

y = -7

Step-by-step explanation:

\(y = \frac{7}{2} \times - 2 \\ \)

positive multiply negative equals negative.

\(y = \frac{7}{\2} \times ( - \2) \\ \)

\( \boxed{Answer:{\boxed{\green{y = - 7}}}}\)

0.7994 portion of persons with myopia will differ from the population portion by less than 3%.

Here we have to implement the central limit theorem,

therefore,

the formula is Z = x- a /s where, a = mean , d= standard deviation

let us consider that 42% has myopia

then p = 0.42

size of random sample given is 442

therefore, n = 442

then, a = p = 0.42

standard deviation is

s = \(\sqrt{p(1-p)/n}\)

=\(\sqrt{0.42* 0.58/442}\)

=0.0235

portion between 0.42 +0.03 = 0.45 and 0.42 - 0.03 = 0.39

there for there are two values of X = 0.45 , X = 0.39

Z = X - a/s

Z = 0.45 - 0.42 / 0.0235

Z = 1.28 have a p-value of 0.8997

Z = X - a /s

Z = 0.39 - 0.42 / 0.0235

Z = -1.28 have a p-value of 0.1003

0.8997 - 0.1003 = 0.7994

0.7994 portion of persons with myopia will differ from the population portion by less than 3%.

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False. The margin of error only accounts for sampling variability (the fact that my sample will be different that many other people's and therefore provide different statistics.

Statistics is a technique for interpreting, analyzing, and summarizing data in mathematics. In light of these characteristics, the various statistical types are divided into: Statistics that are descriptive and inferential. We analyze and understand data based on how it is presented, such as through graphs, bar graphs, or tables.

Inferential statistics, which draws conclusions from information using statistical tests like the student's t-test, is one of the two main statistical methods used in data analysis. Descriptive statistics presents data using indices like mean and median.

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The number of hours Ella worked before school was 8 hours and after school was 16 hours.

Hours worked is the number of hours actually worked, defined as the sum of all periods spent on direct and ancillary activities to produce goods and services.

Given that, Ella works two part-time jobs, before and after school, Before school, she earns $11.25/hour, and after school she earns $11.75/hour. Last week, she earned a total of $278. She works twice as many hours after school.

We are asked to find how many hours did she work at each job,

We will solve this question by using an equation,

Let the number of hours she worked before school be x and after school 2x,

Therefore, establishing the equations,

x(11.25)+2x(11.75) = 278

11.25x+23.5x = 278

34.75x = 278

x = 8

Hence, the number of hours Ella worked before school was 8 hours and after school was 16 hours.

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Based on the angle addition postulate, the measure of angle 1 is calculated as: 88°.

The angle addition postulate states hat the sum of two smaller angles is always the measure of a bigger angle from which the smaller angles are formed from.

Given:

Measure of angle 2 = 45°

Measure of angle XWY = 133°

Therefore:

Measure of angle 1 + 45 = 133 [angle addition postulate]

Subtract 45 from each side of the equation

Measure of angle 1 + 45 - 45 = 133 - 45

Measure of angle 1 = 88°

Therefore, based on the angle addition postulate, the measure of angle 1 is calculated as: 88°.

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The x component of the displacement is incorrect and needs to be recalculated. The y component of the displacement can be determined using trigonometry.

To find the x component of the displacement, we need to determine the horizontal distance covered in the given direction. The angle of 153 degrees above the positive x-axis suggests that the direction deviates from the positive x-axis in a counterclockwise direction. Since the angle is measured from the positive x-axis, it falls in the second quadrant.

To calculate the x component, we can use trigonometry. The x component is given by the formula:

x = displacement * cos(angle)

In this case, the displacement is 75 m, and the angle is 153 degrees. Converting the angle to radians (since trigonometric functions in most programming languages use radians), we have:

x = 75 m * cos(153°) = -71.61 m (rounded to two significant figures)

Therefore, the x component of the displacement is -71.61 m.

For Part B, to determine the y component of the displacement, we again use trigonometry. The y component is given by the formula:

y = displacement * sin(angle)

Using the same values as before, we have:

y = 75 m * sin(153°) = 43.50 m (rounded to two significant figures)

Therefore, the y component of the displacement is 43.50 m.

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Answer:

x= (-3 +- sqrt3)/2

Step-by-step explanation:

Exact Form:

x=(-3± √ 3)/2

Decimal Form:

x = − 0.63397459 … , − 2.36602540 …

The marginal pdf of f₁,₃(2,3) of x and z is approximately 0.096.

To find the marginal pdf of f₁,₃(2,3) of x and z, we need to integrate the joint pdf over the range of y while fixing x = 2 and z = 3.

The marginal pdf of x and z, denoted as f₁,₃(x,z), is given by:

f₁,₃(x,z) = ∫ f(x, y, z) dy

Plugging in x = 2 and z = 3 into the joint pdf, we have:

\(f(2, y, 3) = (2y^2)/180\)

Now we integrate f(2, y, 3) with respect to y from 1 to 3:

\(f_1,_3(2, 3) = \int[(2y^2)/180]\) dy from 1 to 3

Evaluating the integral, we get:

\(f_1,_3(2, 3) = (2/180) \int y^2 dy\) from 1 to 3

            \(= (2/180) [(y^3/3)]\) from 1 to 3

            \(= (2/180) [(3^3/3) - (1^3/3)]\)

            = (2/180) [27/3 - 1/3]

            = (2/180) [26/3]

            = 52/540

            ≈ 0.096

Therefore, the marginal pdf of f₁,₃(2,3) of x and z is approximately 0.096.

A marginal pdf is what?

A probability density function (pdf) may be used to characterise the univariate distribution of each element in the random vector. To distinguish it from the joint probability density function, which shows the multivariate distribution of each entry in the random vector, this is known as the marginal probability density function.

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Ahmad as a hirer has the right to contest the validity of the repossession by Easy Bank Bhd. as the repossession was not in compliance with the requirements under the Hire Purchase Act 1967.

The notice of repossession must be in writing, signed by or on behalf of the owner, and must state the default, the amount due and payable by the hirer and the right of the hirer to terminate the hire-purchase agreement by giving written notice of termination to the owner within twenty-one days after the date of the repossession.

If Ahmad disputes the validity of the repossession by Easy Bank Bhd., he can apply to the court to be relieved against the repossession.2. The rights of Mrs. Tan under the law on hire-purchase in the event of defect in the sewing machine are as follows: Mrs. Tan can reject the machine if it fails to comply with the implied conditions as to its quality or fitness for purpose. She must give notice of rejection to Happy Housewives Sdn. Bhd. within a reasonable time. The reasonable time depends on the nature of the goods and the circumstances of the case. If Mrs.

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Answer: To calculate the compound interest and amount for a given principal, interest rate, and time period, we can use the formula:

A = P(1 + r/n)^(nt)

where:

A = the final amount (principal + interest)

P = the principal (initial investment)

r = the annual interest rate (expressed as a decimal)

n = the number of times the interest is compounded per year

t = the number of years the investment is held

a. Principal = $5,900; Time = 2 years; Rate = 14%

n = 2 (since the interest is compounded half-yearly)

t = 2

r = 0.14

A = 5900(1+0.14/2)^(22)

A = 5900(1+0.07)^4

A = 59001.07^4

A = 5900*1.298844

A = 7,638.21

So the final amount, including interest, would be $7,638.21

b. Principal = $7,800; Time = 6 years; Rate = 18%

n = 2 (since the interest is compounded half-yearly)

t = 6

r = 0.18

A = 7800(1+0.18/2)^(26)

A = 7800(1+0.09)^12

A = 78001.09^12

A = 7800*2.05832

A = 16,093.32

So the final amount, including interest, would be $16,093.32

Please note that the above calculations are based on the compound interest formula and the assumption that the interest is compounded half-yearly, without taking into account any fees, taxes or any other associated cost.

Step-by-step explanation:

The expression which is equivalent is 2x + 5y - 3.

The equivalent expressions to 3x + 5y - x + 2 - 5 are:

2x + 5y - 3

3x + 5y - 3x + 2 - 5 = 3x - 3x + 5y + 2 - 5 = 2x + 5y - 3

So, both options are equivalent to 3x + 5y - x + 2 - 5.

Equivalent expressions" refer to mathematical expressions that have the same value for all values of the variables involved, regardless of the order or the grouping of the operations. For example, the expressions "2 + 3" and "3 + 2" are equivalent because they both equal 5.

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Answer: slope is -1/3

a parallel line answer is below

Step-by-step explanation:

3x+9y=12 can be automatically rewritten as 9y=-3x+12 but the proper form is y= (−1/3)x +(4/3)

to find a parallel line to another slope, you must keep the slope and change the y intercept.

so for example:

y= -1/3x + 4 would follow this rule

but really you can change the y intercept to anything reasonable

Did you forget to add a picture or something? I don't know how to answer this question properly.  

Answer:

$3,408.49

Step-by-step explanation:

To determine the value of the annuity, we need to use the formula for the future value of an ordinary annuity:

A = P * ((1 + r)^n - 1) / r

Where:

A = Value of the annuity

P = Monthly deposit amount

r = Interest rate per period (monthly interest rate in this case)

n = Total number of deposits

First, let's convert the annual interest rate of 5% to a monthly interest rate. We divide the annual interest rate by 12 (number of months in a year) and convert it to a decimal:

Monthly interest rate = 5% / 12 = 0.05 / 12 = 0.0041667

Next, let's substitute the given values into the annuity formula:

P = $50

r = 0.0041667 (monthly interest rate)

n = 60

A = $50 * ((1 + 0.0041667)^60 - 1) / 0.0041667

Now we can calculate the value of the annuity using a calculator or spreadsheet:

A ≈ $50 * (1.0041667^60 - 1) / 0.0041667 ≈ $50 * (1.28370557 - 1) / 0.0041667 ≈ $50 * 0.28370557 / 0.0041667 ≈ $50 * 68.169768 ≈ $3,408.49

14x^2 + x - 9 expressions to represent the area of the shaded regions.

To determine what the area of the shaded region is, simply find the area of the large rectangle and subtract the product from the smaller one.

Since they are polynomials. Multiply one binomial to the other and first obtain the product, before subtracting the product of the smaller rectangle.

(5x + 2)(3x - 1) - (x)(x + 7)

15x^2 - 5x + 6x - 2 - x^2 - 7

14x^2 + x - 9.

A phrase sample definition is a commonly used word or phrase or a way of expressing your thoughts, feelings, or feelings. An example of an expression is the phrase "A dime saved is a dime earned". An example of a facial expression is a smile. A special way to bring your ideas to life.

A facial expression that expresses what you are feeling. Examples of phrases in sentences. 1. Seeing her daughter's excited face, Donna was happy to make her daughter's dream come true.

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Answer:

4.8 years

Step-by-step explanation:

10 800 = 8000 e^(i t)        i = decimal interest per year     t = years

10800/8000 = e^(.0625 t)      ln both sides

.300 = .0625 t

t = 4.8 years

Answer: 5

Step-by-step explanation:

Step-by-step explanation:

Let q be the number of quarters and d be the number of dimes.

We have q + d = 32 and $0.25q + $0.10d = $5.

=> 5q + 2d = 100 and q + d = 32

Therefore we get q = 12 and d = 20. (12 quarters and 20 dimes)

The number of coins of quarters and dimes will be 12 and 20, respectively.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A collection of quarters and dimes has a total value of $5 and contains 32 coins.

Let 'x' be the number of quarters and 'y' be the number of dimes. Then the equations are given as,

x + y = 32                      ...1

0.25x + 0.10y = 5         ...2

From equations 1 and 2, then we have

0.25 x + 0.10 (32 - x) = 5

0.25 x + 3.2 - 0.10 x = 5

0.15 x = 1.8

x = 1.8 / 0.15

x = 12

Then the value of the variable 'y' is given as,

12 + y = 32

y = 32 - 12

y = 20

The number of coins of quarters and dimes will be 12 and 20, respectively.

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Answer:

y=400x

Step-by-step explanation:

This is because the graph rate is up 400 each time. Ex. (1,400) (2,800) (3,1200) etc

Hope this helped

The value of ∠ F L H  is 3x-6°

∠FLG and ∠FLH are adjacent angles with L being the common vertex  and both the angles form the ∠HLG

As ∠FLG is given as 14x + 5° and  ∠ H L G is given as 17 x − 1 °

We need to find the value of ∠ F L H

We can write that ∠FLG +∠FLH = ∠ H L G

by putting the values given

14 x + 5 ° + ∠ F L H  = 17 x − 1 °

∠ F L H = 17x-1 - (14x + 50

Here we got a linear equation in one variable and by solving the equation we will get the value of ∠ F L H

∠ F L H = 17x - 1 - 14x -5

∠ F L H  = 3x-6

Hence, the value of ∠ F L H  is 3x-6°

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Answer:

7-6 the is corret thick hope

The volume of the cone isV = 42.41\(Cm^{3}\).

In order to calculate the volume of the solid, you use the following formula:

where

r: radius of the circular base of the cone = 3 cm

h: height from the circular base to the peak of the cone = 4.5 cm

You replace the values of r and h in the formula for the

volume V = \(\frac{1}{3}\) \(\pi\) \((3cm)^{2}\)4.5 =42.411  \(cm^{3}\) = 42.41 \(cm^{3}\)

Hence, the volume of the cone  is 42.41 \(Cm^{3}\)

Volume may be a  measure of occupied three-dimensional space. it's  often quantified numerically using SI derived units (such as the cubic meter and liter) or by various imperial units (such as the gallon, quart, cubic inch). The definition of length (cubed) is interrelated with volume.  the quantity  of a container is generally understood to be the capacity of the container; i.e.,  the quantity  of fluid (gas or liquid) that the container could hold,  instead of  the amount of space the container itself displaces.In  past , volume is measured using similar-shaped natural containers and  afterward , standardized containers. Some simple three-dimensional shapes can have its volume easily calculated using arithmetic formulas. Volumes of more complicated shapes  are often  calculated with integral calculus if a formula exists for the shape's boundary.

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The number of ways  5 puppies can be chosen from a litter of 8 puppies is 56 ways

Permutation has to do with arrangement while combination has to do with selection.

From the queston, since we are to select 5 puppies from a litter of 8 puppes, this can be done as shown:

8C5 = 8!/(8-5)!5!

8C5 = 8!/3!5!

8C5 = 8*7*6*5!/6*5!

8C5 = 8* 7

8C5 = 56ways

Hence the number of ways  5 puppies can be chosen from a litter of 8 puppies is 56 ways

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